Multiscale simulation of the striatal medium spiny neuron (Mattioni & Le Novere 2013)

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Accession:150284
"… We present a new event-driven algorithm to synchronize different neuronal models, which decreases computational time and avoids superfluous synchronizations. The algorithm is implemented in the TimeScales framework. We demonstrate its use by simulating a new multiscale model of the Medium Spiny Neuron of the Neostriatum. The model comprises over a thousand dendritic spines, where the electrical model interacts with the respective instances of a biochemical model. Our results show that a multiscale model is able to exhibit changes of synaptic plasticity as a result of the interaction between electrical and biochemical signaling. …"
Reference:
1 . Mattioni M, Le Novère N (2013) Integration of biochemical and electrical signaling-multiscale model of the medium spiny neuron of the striatum. PLoS One 8:e66811 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell; Synapse;
Brain Region(s)/Organism: Striatum;
Cell Type(s): Neostriatum medium spiny direct pathway GABA cell;
Channel(s): I Na,p; I Na,t; I T low threshold; I A; I K,Ca; I CAN; I Calcium; I A, slow; I Krp; I R; I Q;
Gap Junctions:
Receptor(s):
Gene(s): Kv4.2 KCND2; Kv1.2 KCNA2; Cav1.3 CACNA1D; Cav1.2 CACNA1C; Kv2.1 KCNB1;
Transmitter(s):
Simulation Environment: NEURON; Python;
Model Concept(s): Synaptic Plasticity; Signaling pathways; Calcium dynamics; Multiscale;
Implementer(s): Mattioni, Michele [mattioni at ebi.ac.uk];
Search NeuronDB for information about:  Neostriatum medium spiny direct pathway GABA cell; I Na,p; I Na,t; I T low threshold; I A; I K,Ca; I CAN; I Calcium; I A, slow; I Krp; I R; I Q;
TITLE SBML model: Model_1 generated from file: BIOMD000000183_altered_id_replaced.xml

UNITS {
  (mA) = (milliamp)
  (mV) = (millivolt)
}

NEURON {
  SUFFIX Model_1
  RANGE Spine
  GLOBAL kon
  GLOBAL koffRA
  GLOBAL koffRB
  GLOBAL koffRC
  GLOBAL koffRD
  GLOBAL koffTA
  GLOBAL koffTB
  GLOBAL koffTC
  GLOBAL koffTD
  GLOBAL kRT
  GLOBAL kTR
  GLOBAL cA
  GLOBAL cB
  GLOBAL cC
  GLOBAL cD
  GLOBAL konCaMKII
  GLOBAL koffCaMKII
  GLOBAL konPP2B
  GLOBAL koffPP2B
  GLOBAL free_camR_ca3_total
  GLOBAL free_camT_ca3_total
  GLOBAL free_cam_ca3_total
  GLOBAL cam_ca4_total
  GLOBAL CaMKII_camR_ca1
  GLOBAL CaMKII_camR_ca2
  GLOBAL CaMKII_camR_ca3
  GLOBAL total_CaMKII_bound
  GLOBAL total_CaMKII
  GLOBAL CaMKIIbar
  GLOBAL PP2B_camR_ca1
  GLOBAL PP2B_camR_ca2
  GLOBAL PP2B_camR_ca3
  GLOBAL total_PP2B_bound
  GLOBAL total_PP2B
  GLOBAL PP2Bbar
  GLOBAL camR_unbound
  GLOBAL total_camR
  GLOBAL total_camT
  GLOBAL Rbar
  GLOBAL cam_ca3_total
  GLOBAL free_camR_ca2_total
  GLOBAL free_camT_ca2_total
  GLOBAL free_cam_ca2_total
  GLOBAL cam_ca2_total
  GLOBAL free_cam_ca1_total
  GLOBAL cam_ca1_total
  GLOBAL cam_ca0_total
  GLOBAL cam_total
  GLOBAL moles_bound_ca_per_moles_cam
  GLOBAL L
  GLOBAL KRA
  GLOBAL KRB
  GLOBAL KRC
  GLOBAL KRD
  GLOBAL epsilon
  GLOBAL ybar
  GLOBAL ybar1ybar
}

PARAMETER {
  Spine = 0.000000
  kon = 1000000.0
  koffRA = 8.32
  koffRB = 0.0166
  koffRC = 17.4
  koffRD = 0.0145
  koffTA = 2101.01010101
  koffTB = 4.19191919192
  koffTC = 4393.93939394
  koffTD = 3.66161616162
  kRT = 1000000.0
  kTR = 48.3792936623
  cA = 0.00396
  cB = 0.00396
  cC = 0.00396
  cD = 0.00396
  konCaMKII = 3200000.0
  koffCaMKII = 0.343
  konPP2B = 46000000.0
  koffPP2B = 0.4
  free_camR_ca3_total = 0.0
  free_camT_ca3_total = 0.0
  free_cam_ca3_total = 0.0
  cam_ca4_total = 0.0
  CaMKII_camR_ca1 = 0.0
  CaMKII_camR_ca2 = 0.0
  CaMKII_camR_ca3 = 0.0
  total_CaMKII_bound = 0.0
  total_CaMKII = 7e-05
  CaMKIIbar = 0.0
  PP2B_camR_ca1 = 0.0
  PP2B_camR_ca2 = 0.0
  PP2B_camR_ca3 = 0.0
  total_PP2B_bound = 0.0
  total_PP2B = 1.6e-06
  PP2Bbar = 0.0
  camR_unbound = 9.7e-12
  total_camR = 9.7e-12
  total_camT = 2e-07
  Rbar = 4.84976478641e-05
  cam_ca3_total = 0.0
  free_camR_ca2_total = 0.0
  free_camT_ca2_total = 0.0
  free_cam_ca2_total = 0.0
  cam_ca2_total = 0.0
  free_cam_ca1_total = 0.0
  cam_ca1_total = 0.0
  cam_ca0_total = 2.000097e-07
  cam_total = 2.000097e-07
  moles_bound_ca_per_moles_cam = 0.0
  L = 20670.0
  KRA = 8.32e-06
  KRB = 1.66e-08
  KRC = 1.74e-05
  KRD = 1.45e-08
  epsilon = 4.84976478641e-05
  ybar = 0.0
  ybar1ybar = 0.0
}

STATE {
  camR
  ca
  camR_ca1_A
  camR_ca1_B
  camR_ca1_C
  camR_ca1_D
  camR_ca2_AB
  camR_ca2_AC
  camR_ca2_AD
  camR_ca2_BC
  camR_ca2_BD
  camR_ca2_CD
  camR_ca3_ABC
  camR_ca3_ABD
  camR_ca3_ACD
  camR_ca3_BCD
  camR_ca4_ABCD
  camT
  camT_ca1_A
  camT_ca1_B
  camT_ca1_C
  camT_ca1_D
  camT_ca2_AB
  camT_ca2_AC
  camT_ca2_AD
  camT_ca2_BC
  camT_ca2_BD
  camT_ca2_CD
  camT_ca3_ABC
  camT_ca3_ABD
  camT_ca3_ACD
  camT_ca3_BCD
  camT_ca4_ABCD
  CaMKII
  camR_CaMKII
  camR_ca1_A_CaMKII
  camR_ca1_B_CaMKII
  camR_ca1_C_CaMKII
  camR_ca1_D_CaMKII
  camR_ca2_AB_CaMKII
  camR_ca2_AC_CaMKII
  camR_ca2_AD_CaMKII
  camR_ca2_BC_CaMKII
  camR_ca2_BD_CaMKII
  camR_ca2_CD_CaMKII
  camR_ca3_ABC_CaMKII
  camR_ca3_ABD_CaMKII
  camR_ca3_ACD_CaMKII
  camR_ca3_BCD_CaMKII
  camR_ca4_ABCD_CaMKII
  PP2B
  camR_PP2B
  camR_ca1_A_PP2B
  camR_ca1_B_PP2B
  camR_ca1_C_PP2B
  camR_ca1_D_PP2B
  camR_ca2_AB_PP2B
  camR_ca2_AC_PP2B
  camR_ca2_AD_PP2B
  camR_ca2_BC_PP2B
  camR_ca2_BD_PP2B
  camR_ca2_CD_PP2B
  camR_ca3_ABC_PP2B
  camR_ca3_ABD_PP2B
  camR_ca3_ACD_PP2B
  camR_ca3_BCD_PP2B
  camR_ca4_ABCD_PP2B
}

INITIAL {
  camR = 9.7e-12
  ca = 1e-05
  camR_ca1_A = 0.0
  camR_ca1_B = 0.0
  camR_ca1_C = 0.0
  camR_ca1_D = 0.0
  camR_ca2_AB = 0.0
  camR_ca2_AC = 0.0
  camR_ca2_AD = 0.0
  camR_ca2_BC = 0.0
  camR_ca2_BD = 0.0
  camR_ca2_CD = 0.0
  camR_ca3_ABC = 0.0
  camR_ca3_ABD = 0.0
  camR_ca3_ACD = 0.0
  camR_ca3_BCD = 0.0
  camR_ca4_ABCD = 0.0
  camT = 2e-07
  camT_ca1_A = 0.0
  camT_ca1_B = 0.0
  camT_ca1_C = 0.0
  camT_ca1_D = 0.0
  camT_ca2_AB = 0.0
  camT_ca2_AC = 0.0
  camT_ca2_AD = 0.0
  camT_ca2_BC = 0.0
  camT_ca2_BD = 0.0
  camT_ca2_CD = 0.0
  camT_ca3_ABC = 0.0
  camT_ca3_ABD = 0.0
  camT_ca3_ACD = 0.0
  camT_ca3_BCD = 0.0
  camT_ca4_ABCD = 0.0
  CaMKII = 7e-05
  camR_CaMKII = 0.0
  camR_ca1_A_CaMKII = 0.0
  camR_ca1_B_CaMKII = 0.0
  camR_ca1_C_CaMKII = 0.0
  camR_ca1_D_CaMKII = 0.0
  camR_ca2_AB_CaMKII = 0.0
  camR_ca2_AC_CaMKII = 0.0
  camR_ca2_AD_CaMKII = 0.0
  camR_ca2_BC_CaMKII = 0.0
  camR_ca2_BD_CaMKII = 0.0
  camR_ca2_CD_CaMKII = 0.0
  camR_ca3_ABC_CaMKII = 0.0
  camR_ca3_ABD_CaMKII = 0.0
  camR_ca3_ACD_CaMKII = 0.0
  camR_ca3_BCD_CaMKII = 0.0
  camR_ca4_ABCD_CaMKII = 0.0
  PP2B = 1.6e-06
  camR_PP2B = 0.0
  camR_ca1_A_PP2B = 0.0
  camR_ca1_B_PP2B = 0.0
  camR_ca1_C_PP2B = 0.0
  camR_ca1_D_PP2B = 0.0
  camR_ca2_AB_PP2B = 0.0
  camR_ca2_AC_PP2B = 0.0
  camR_ca2_AD_PP2B = 0.0
  camR_ca2_BC_PP2B = 0.0
  camR_ca2_BD_PP2B = 0.0
  camR_ca2_CD_PP2B = 0.0
  camR_ca3_ABC_PP2B = 0.0
  camR_ca3_ABD_PP2B = 0.0
  camR_ca3_ACD_PP2B = 0.0
  camR_ca3_BCD_PP2B = 0.0
  camR_ca4_ABCD_PP2B = 0.0
}

BREAKPOINT {
  SOLVE states METHOD cnexp
}

DERIVATIVE states {
  :  (camR, ca) -> (camR_ca1_A) with formula : Spine * kon * camR * ca
  :  (camR, ca) -> (camR_ca1_B) with formula : Spine * kon * camR * ca
  :  (camR, ca) -> (camR_ca1_C) with formula : Spine * kon * camR * ca
  :  (camR, ca) -> (camR_ca1_D) with formula : Spine * kon * camR * ca
  :  (camR_ca1_A) -> (camR, ca) with formula : Spine * koffRA * camR_ca1_A
  :  (camR_ca1_B) -> (camR, ca) with formula : Spine * koffRB * camR_ca1_B
  :  (camR_ca1_C) -> (camR, ca) with formula : Spine * koffRC * camR_ca1_C
  :  (camR_ca1_D) -> (camR, ca) with formula : Spine * koffRD * camR_ca1_D
  :  (camR_ca1_A, ca) -> (camR_ca2_AB) with formula : Spine * kon * camR_ca1_A * ca
  :  (camR_ca1_A, ca) -> (camR_ca2_AC) with formula : Spine * kon * camR_ca1_A * ca
  :  (camR_ca1_A, ca) -> (camR_ca2_AD) with formula : Spine * kon * camR_ca1_A * ca
  :  (camR_ca1_B, ca) -> (camR_ca2_AB) with formula : Spine * kon * camR_ca1_B * ca
  :  (camR_ca1_B, ca) -> (camR_ca2_BC) with formula : Spine * kon * camR_ca1_B * ca
  :  (camR_ca1_B, ca) -> (camR_ca2_BD) with formula : Spine * kon * camR_ca1_B * ca
  :  (camR_ca1_C, ca) -> (camR_ca2_AC) with formula : Spine * kon * camR_ca1_C * ca
  :  (camR_ca1_C, ca) -> (camR_ca2_BC) with formula : Spine * kon * camR_ca1_C * ca
  :  (camR_ca1_C, ca) -> (camR_ca2_CD) with formula : Spine * kon * camR_ca1_C * ca
  :  (camR_ca1_D, ca) -> (camR_ca2_AD) with formula : Spine * kon * camR_ca1_D * ca
  :  (camR_ca1_D, ca) -> (camR_ca2_BD) with formula : Spine * kon * camR_ca1_D * ca
  :  (camR_ca1_D, ca) -> (camR_ca2_CD) with formula : Spine * kon * camR_ca1_D * ca
  :  (camR_ca2_AB) -> (camR_ca1_A, ca) with formula : Spine * koffRB * camR_ca2_AB
  :  (camR_ca2_AC) -> (camR_ca1_A, ca) with formula : Spine * koffRC * camR_ca2_AC
  :  (camR_ca2_AD) -> (camR_ca1_A, ca) with formula : Spine * koffRD * camR_ca2_AD
  :  (camR_ca2_AB) -> (camR_ca1_B, ca) with formula : Spine * koffRA * camR_ca2_AB
  :  (camR_ca2_BC) -> (camR_ca1_B, ca) with formula : Spine * koffRC * camR_ca2_BC
  :  (camR_ca2_BD) -> (camR_ca1_B, ca) with formula : Spine * koffRD * camR_ca2_BD
  :  (camR_ca2_AC) -> (camR_ca1_C, ca) with formula : Spine * koffRA * camR_ca2_AC
  :  (camR_ca2_BC) -> (camR_ca1_C, ca) with formula : Spine * koffRB * camR_ca2_BC
  :  (camR_ca2_CD) -> (camR_ca1_C, ca) with formula : Spine * koffRD * camR_ca2_CD
  :  (camR_ca2_AD) -> (camR_ca1_D, ca) with formula : Spine * koffRA * camR_ca2_AD
  :  (camR_ca2_BD) -> (camR_ca1_D, ca) with formula : Spine * koffRB * camR_ca2_BD
  :  (camR_ca2_CD) -> (camR_ca1_D, ca) with formula : Spine * koffRC * camR_ca2_CD
  :  (camR_ca2_AB, ca) -> (camR_ca3_ABC) with formula : Spine * kon * camR_ca2_AB * ca
  :  (camR_ca2_AB, ca) -> (camR_ca3_ABD) with formula : Spine * kon * camR_ca2_AB * ca
  :  (camR_ca2_AC, ca) -> (camR_ca3_ABC) with formula : Spine * kon * camR_ca2_AC * ca
  :  (camR_ca2_AC, ca) -> (camR_ca3_ACD) with formula : Spine * kon * camR_ca2_AC * ca
  :  (camR_ca2_AD, ca) -> (camR_ca3_ABD) with formula : Spine * kon * camR_ca2_AD * ca
  :  (camR_ca2_AD, ca) -> (camR_ca3_ACD) with formula : Spine * kon * camR_ca2_AD * ca
  :  (camR_ca2_BC, ca) -> (camR_ca3_ABC) with formula : Spine * kon * camR_ca2_BC * ca
  :  (camR_ca2_BC, ca) -> (camR_ca3_BCD) with formula : Spine * kon * camR_ca2_BC * ca
  :  (camR_ca2_BD, ca) -> (camR_ca3_ABD) with formula : Spine * kon * camR_ca2_BD * ca
  :  (camR_ca2_BD, ca) -> (camR_ca3_BCD) with formula : Spine * kon * camR_ca2_BD * ca
  :  (camR_ca2_CD, ca) -> (camR_ca3_ACD) with formula : Spine * kon * camR_ca2_CD * ca
  :  (camR_ca2_CD, ca) -> (camR_ca3_BCD) with formula : Spine * kon * camR_ca2_CD * ca
  :  (camR_ca3_ABC) -> (camR_ca2_BC, ca) with formula : Spine * koffRA * camR_ca3_ABC
  :  (camR_ca3_ABC) -> (camR_ca2_AC, ca) with formula : Spine * koffRB * camR_ca3_ABC
  :  (camR_ca3_ABC) -> (camR_ca2_AB, ca) with formula : Spine * koffRC * camR_ca3_ABC
  :  (camR_ca3_ABD) -> (camR_ca2_BD, ca) with formula : Spine * koffRA * camR_ca3_ABD
  :  (camR_ca3_ABD) -> (camR_ca2_AD, ca) with formula : Spine * koffRB * camR_ca3_ABD
  :  (camR_ca3_ABD) -> (camR_ca2_AB, ca) with formula : Spine * koffRD * camR_ca3_ABD
  :  (camR_ca3_ACD) -> (camR_ca2_CD, ca) with formula : Spine * koffRA * camR_ca3_ACD
  :  (camR_ca3_ACD) -> (camR_ca2_AD, ca) with formula : Spine * koffRC * camR_ca3_ACD
  :  (camR_ca3_ACD) -> (camR_ca2_AC, ca) with formula : Spine * koffRD * camR_ca3_ACD
  :  (camR_ca3_BCD) -> (camR_ca2_CD, ca) with formula : Spine * koffRB * camR_ca3_BCD
  :  (camR_ca3_BCD) -> (camR_ca2_BD, ca) with formula : Spine * koffRC * camR_ca3_BCD
  :  (camR_ca3_BCD) -> (camR_ca2_BC, ca) with formula : Spine * koffRD * camR_ca3_BCD
  :  (camR_ca3_ABC, ca) -> (camR_ca4_ABCD) with formula : Spine * kon * camR_ca3_ABC * ca
  :  (camR_ca3_ABD, ca) -> (camR_ca4_ABCD) with formula : Spine * kon * camR_ca3_ABD * ca
  :  (camR_ca3_ACD, ca) -> (camR_ca4_ABCD) with formula : Spine * kon * camR_ca3_ACD * ca
  :  (camR_ca3_BCD, ca) -> (camR_ca4_ABCD) with formula : Spine * kon * camR_ca3_BCD * ca
  :  (camR_ca4_ABCD) -> (camR_ca3_ABC, ca) with formula : Spine * koffRD * camR_ca4_ABCD
  :  (camR_ca4_ABCD) -> (camR_ca3_ABD, ca) with formula : Spine * koffRC * camR_ca4_ABCD
  :  (camR_ca4_ABCD) -> (camR_ca3_ACD, ca) with formula : Spine * koffRB * camR_ca4_ABCD
  :  (camR_ca4_ABCD) -> (camR_ca3_BCD, ca) with formula : Spine * koffRA * camR_ca4_ABCD
  :  (camT, ca) -> (camT_ca1_A) with formula : Spine * kon * camT * ca
  :  (camT, ca) -> (camT_ca1_B) with formula : Spine * kon * camT * ca
  :  (camT, ca) -> (camT_ca1_C) with formula : Spine * kon * camT * ca
  :  (camT, ca) -> (camT_ca1_D) with formula : Spine * kon * camT * ca
  :  (camT_ca1_A) -> (camT, ca) with formula : Spine * koffTA * camT_ca1_A
  :  (camT_ca1_B) -> (camT, ca) with formula : Spine * koffTB * camT_ca1_B
  :  (camT_ca1_C) -> (camT, ca) with formula : Spine * koffTC * camT_ca1_C
  :  (camT_ca1_D) -> (camT, ca) with formula : Spine * koffTD * camT_ca1_D
  :  (camT_ca1_A, ca) -> (camT_ca2_AB) with formula : Spine * kon * camT_ca1_A * ca
  :  (camT_ca1_A, ca) -> (camT_ca2_AC) with formula : Spine * kon * camT_ca1_A * ca
  :  (camT_ca1_A, ca) -> (camT_ca2_AD) with formula : Spine * kon * camT_ca1_A * ca
  :  (camT_ca1_B, ca) -> (camT_ca2_AB) with formula : Spine * kon * camT_ca1_B * ca
  :  (camT_ca1_B, ca) -> (camT_ca2_BC) with formula : Spine * kon * camT_ca1_B * ca
  :  (camT_ca1_B, ca) -> (camT_ca2_BD) with formula : Spine * kon * camT_ca1_B * ca
  :  (camT_ca1_C, ca) -> (camT_ca2_AC) with formula : Spine * kon * camT_ca1_C * ca
  :  (camT_ca1_C, ca) -> (camT_ca2_BC) with formula : Spine * kon * camT_ca1_C * ca
  :  (camT_ca1_C, ca) -> (camT_ca2_CD) with formula : Spine * kon * camT_ca1_C * ca
  :  (camT_ca1_D, ca) -> (camT_ca2_AD) with formula : Spine * kon * camT_ca1_D * ca
  :  (camT_ca1_D, ca) -> (camT_ca2_BD) with formula : Spine * kon * camT_ca1_D * ca
  :  (camT_ca1_D, ca) -> (camT_ca2_CD) with formula : Spine * kon * camT_ca1_D * ca
  :  (camT_ca2_AB) -> (camT_ca1_B, ca) with formula : Spine * koffTA * camT_ca2_AB
  :  (camT_ca2_AB) -> (camT_ca1_A, ca) with formula : Spine * koffTB * camT_ca2_AB
  :  (camT_ca2_AC) -> (camT_ca1_C, ca) with formula : Spine * koffTA * camT_ca2_AC
  :  (camT_ca2_AC) -> (camT_ca1_A, ca) with formula : Spine * koffTC * camT_ca2_AC
  :  (camT_ca2_AD) -> (camT_ca1_D, ca) with formula : Spine * koffTA * camT_ca2_AD
  :  (camT_ca2_AD) -> (camT_ca1_A, ca) with formula : Spine * koffTD * camT_ca2_AD
  :  (camT_ca2_BC) -> (camT_ca1_C, ca) with formula : Spine * koffTB * camT_ca2_BC
  :  (camT_ca2_BC) -> (camT_ca1_B, ca) with formula : Spine * koffTC * camT_ca2_BC
  :  (camT_ca2_BD) -> (camT_ca1_D, ca) with formula : Spine * koffTB * camT_ca2_BD
  :  (camT_ca2_BD) -> (camT_ca1_B, ca) with formula : Spine * koffTD * camT_ca2_BD
  :  (camT_ca2_CD) -> (camT_ca1_D, ca) with formula : Spine * koffTC * camT_ca2_CD
  :  (camT_ca2_CD) -> (camT_ca1_C, ca) with formula : Spine * koffTD * camT_ca2_CD
  :  (camT_ca2_AB, ca) -> (camT_ca3_ABC) with formula : Spine * kon * camT_ca2_AB * ca
  :  (camT_ca2_AB, ca) -> (camT_ca3_ABD) with formula : Spine * kon * camT_ca2_AB * ca
  :  (camT_ca2_AC, ca) -> (camT_ca3_ABC) with formula : Spine * kon * camT_ca2_AC * ca
  :  (camT_ca2_AC, ca) -> (camT_ca3_ACD) with formula : Spine * kon * camT_ca2_AC * ca
  :  (camT_ca2_AD, ca) -> (camT_ca3_ABD) with formula : Spine * kon * camT_ca2_AD * ca
  :  (camT_ca2_AD, ca) -> (camT_ca3_ACD) with formula : Spine * kon * camT_ca2_AD * ca
  :  (camT_ca2_BC, ca) -> (camT_ca3_ABC) with formula : Spine * kon * camT_ca2_BC * ca
  :  (camT_ca2_BC, ca) -> (camT_ca3_BCD) with formula : Spine * kon * camT_ca2_BC * ca
  :  (camT_ca2_BD, ca) -> (camT_ca3_ABD) with formula : Spine * kon * camT_ca2_BD * ca
  :  (camT_ca2_BD, ca) -> (camT_ca3_BCD) with formula : Spine * kon * camT_ca2_BD * ca
  :  (camT_ca2_CD, ca) -> (camT_ca3_ACD) with formula : Spine * kon * camT_ca2_CD * ca
  :  (camT_ca2_CD, ca) -> (camT_ca3_BCD) with formula : Spine * kon * camT_ca2_CD * ca
  :  (camT_ca3_ABC) -> (camT_ca2_AC, ca) with formula : Spine * koffTB * camT_ca3_ABC
  :  (camT_ca3_ABC) -> (camT_ca2_BC, ca) with formula : Spine * koffTA * camT_ca3_ABC
  :  (camT_ca3_ABD) -> (camT_ca2_AB, ca) with formula : Spine * koffTD * camT_ca3_ABD
  :  (camT_ca3_ABD) -> (camT_ca2_AD, ca) with formula : Spine * koffTB * camT_ca3_ABD
  :  (camT_ca3_ABD) -> (camT_ca2_BD, ca) with formula : Spine * koffTA * camT_ca3_ABD
  :  (camT_ca3_ACD) -> (camT_ca2_AC, ca) with formula : Spine * koffTD * camT_ca3_ACD
  :  (camT_ca3_ACD) -> (camT_ca2_AD, ca) with formula : Spine * koffTC * camT_ca3_ACD
  :  (camT_ca3_ACD) -> (camT_ca2_CD, ca) with formula : Spine * koffTA * camT_ca3_ACD
  :  (camT_ca3_BCD) -> (camT_ca2_BC, ca) with formula : Spine * koffTD * camT_ca3_BCD
  :  (camT_ca3_BCD) -> (camT_ca2_BD, ca) with formula : Spine * koffTC * camT_ca3_BCD
  :  (camT_ca3_BCD) -> (camT_ca2_CD, ca) with formula : Spine * koffTB * camT_ca3_BCD
  :  (camT_ca3_ABC, ca) -> (camT_ca4_ABCD) with formula : Spine * kon * camT_ca3_ABC * ca
  :  (camT_ca3_ABD, ca) -> (camT_ca4_ABCD) with formula : Spine * kon * camT_ca3_ABD * ca
  :  (camT_ca3_ACD, ca) -> (camT_ca4_ABCD) with formula : Spine * kon * camT_ca3_ACD * ca
  :  (camT_ca3_BCD, ca) -> (camT_ca4_ABCD) with formula : Spine * kon * camT_ca3_BCD * ca
  :  (camT_ca4_ABCD) -> (camT_ca3_ABC, ca) with formula : Spine * koffTD * camT_ca4_ABCD
  :  (camT_ca4_ABCD) -> (camT_ca3_ABD, ca) with formula : Spine * koffTC * camT_ca4_ABCD
  :  (camT_ca4_ABCD) -> (camT_ca3_ACD, ca) with formula : Spine * koffTB * camT_ca4_ABCD
  :  (camT_ca4_ABCD) -> (camT_ca3_BCD, ca) with formula : Spine * koffTA * camT_ca4_ABCD
  :  (camR) -> (camT) with formula : Spine * kRT * camR
  :  (camT) -> (camR) with formula : Spine * kTR * camT
  :  (camR_ca1_A) -> (camT_ca1_A) with formula : Spine * kRT * camR_ca1_A
  :  (camR_ca1_B) -> (camT_ca1_B) with formula : Spine * kRT * camR_ca1_B
  :  (camR_ca1_C) -> (camT_ca1_C) with formula : Spine * kRT * camR_ca1_C
  :  (camR_ca1_D) -> (camT_ca1_D) with formula : Spine * kRT * camR_ca1_D
  :  (camT_ca1_A) -> (camR_ca1_A) with formula : Spine * function_1(kTR, cA, camT_ca1_A)
  :  (camT_ca1_B) -> (camR_ca1_B) with formula : Spine * function_2(kTR, cB, camT_ca1_B)
  :  (camT_ca1_C) -> (camR_ca1_C) with formula : Spine * function_3(kTR, cC, camT_ca1_C)
  :  (camT_ca1_D) -> (camR_ca1_D) with formula : Spine * function_4(kTR, cD, camT_ca1_D)
  :  (camR_ca2_AB) -> (camT_ca2_AB) with formula : Spine * function_5(cA, cB, kRT, camR_ca2_AB)
  :  (camR_ca2_AC) -> (camT_ca2_AC) with formula : Spine * function_6(cA, cC, kRT, camR_ca2_AC)
  :  (camR_ca2_AD) -> (camT_ca2_AD) with formula : Spine * function_7(cA, cD, kRT, camR_ca2_AD)
  :  (camR_ca2_BC) -> (camT_ca2_BC) with formula : Spine * function_8(cB, cC, kRT, camR_ca2_BC)
  :  (camR_ca2_BD) -> (camT_ca2_BD) with formula : Spine * function_9(cB, cD, kRT, camR_ca2_BD)
  :  (camR_ca2_CD) -> (camT_ca2_CD) with formula : Spine * function_10(cC, cD, kRT, camR_ca2_CD)
  :  (camT_ca2_AB) -> (camR_ca2_AB) with formula : Spine * function_11(kTR, cA, cB, camT_ca2_AB)
  :  (camT_ca2_AC) -> (camR_ca2_AC) with formula : Spine * function_12(kTR, cA, cC, camT_ca2_AC)
  :  (camT_ca2_AD) -> (camR_ca2_AD) with formula : Spine * function_13(kTR, cA, cD, camT_ca2_AD)
  :  (camT_ca2_BC) -> (camR_ca2_BC) with formula : Spine * function_14(kTR, cB, cC, camT_ca2_BC)
  :  (camT_ca2_BD) -> (camR_ca2_BD) with formula : Spine * function_15(kTR, cB, cD, camT_ca2_BD)
  :  (camT_ca2_CD) -> (camR_ca2_CD) with formula : Spine * function_16(kTR, cC, cD, camT_ca2_CD)
  :  (camR_ca3_ABC) -> (camT_ca3_ABC) with formula : Spine * function_17(cA, cB, cC, kRT, camR_ca3_ABC)
  :  (camR_ca3_ABD) -> (camT_ca3_ABD) with formula : Spine * function_18(cA, cB, cD, kRT, camR_ca3_ABD)
  :  (camR_ca3_ACD) -> (camT_ca3_ACD) with formula : Spine * function_19(cA, cC, cD, kRT, camR_ca3_ACD)
  :  (camR_ca3_BCD) -> (camT_ca3_BCD) with formula : Spine * function_20(cB, cC, cD, kRT, camR_ca3_BCD)
  :  (camT_ca3_ABC) -> (camR_ca3_ABC) with formula : Spine * function_21(kTR, cA, cB, cC, camT_ca3_ABC)
  :  (camT_ca3_ABD) -> (camR_ca3_ABD) with formula : Spine * function_22(kTR, cA, cB, cD, camT_ca3_ABD)
  :  (camT_ca3_ACD) -> (camR_ca3_ACD) with formula : Spine * function_23(kTR, cA, cC, cD, camT_ca3_ACD)
  :  (camT_ca3_BCD) -> (camR_ca3_BCD) with formula : Spine * function_24(kTR, cB, cC, cD, camT_ca3_BCD)
  :  (camR_ca4_ABCD) -> (camT_ca4_ABCD) with formula : Spine * function_25(cA, cB, cC, cD, kRT, camR_ca4_ABCD)
  :  (camT_ca4_ABCD) -> (camR_ca4_ABCD) with formula : Spine * function_26(kTR, cA, cB, cC, cD, camT_ca4_ABCD)
  :  (camR, CaMKII) -> (camR_CaMKII) with formula : Spine * konCaMKII * camR * CaMKII
  :  (camR_ca1_A, CaMKII) -> (camR_ca1_A_CaMKII) with formula : Spine * konCaMKII * camR_ca1_A * CaMKII
  :  (camR_ca1_B, CaMKII) -> (camR_ca1_B_CaMKII) with formula : Spine * konCaMKII * camR_ca1_B * CaMKII
  :  (camR_ca1_C, CaMKII) -> (camR_ca1_C_CaMKII) with formula : Spine * konCaMKII * camR_ca1_C * CaMKII
  :  (camR_ca1_D, CaMKII) -> (camR_ca1_D_CaMKII) with formula : Spine * konCaMKII * camR_ca1_D * CaMKII
  :  (camR_ca2_AB, CaMKII) -> (camR_ca2_AB_CaMKII) with formula : Spine * konCaMKII * camR_ca2_AB * CaMKII
  :  (camR_ca2_AC, CaMKII) -> (camR_ca2_AC_CaMKII) with formula : Spine * konCaMKII * camR_ca2_AC * CaMKII
  :  (camR_ca2_AD, CaMKII) -> (camR_ca2_AD_CaMKII) with formula : Spine * konCaMKII * camR_ca2_AD * CaMKII
  :  (camR_ca2_BC, CaMKII) -> (camR_ca2_BC_CaMKII) with formula : Spine * konCaMKII * camR_ca2_BC * CaMKII
  :  (camR_ca2_BD, CaMKII) -> (camR_ca2_BD_CaMKII) with formula : Spine * konCaMKII * camR_ca2_BD * CaMKII
  :  (camR_ca2_CD, CaMKII) -> (camR_ca2_CD_CaMKII) with formula : Spine * konCaMKII * camR_ca2_CD * CaMKII
  :  (camR_ca3_ABC, CaMKII) -> (camR_ca3_ABC_CaMKII) with formula : Spine * konCaMKII * camR_ca3_ABC * CaMKII
  :  (camR_ca3_ABD, CaMKII) -> (camR_ca3_ABD_CaMKII) with formula : Spine * konCaMKII * camR_ca3_ABD * CaMKII
  :  (camR_ca3_ACD, CaMKII) -> (camR_ca3_ACD_CaMKII) with formula : Spine * konCaMKII * camR_ca3_ACD * CaMKII
  :  (camR_ca3_BCD, CaMKII) -> (camR_ca3_BCD_CaMKII) with formula : Spine * konCaMKII * camR_ca3_BCD * CaMKII
  :  (camR_ca4_ABCD, CaMKII) -> (camR_ca4_ABCD_CaMKII) with formula : Spine * konCaMKII * camR_ca4_ABCD * CaMKII
  :  (camR_CaMKII) -> (camR, CaMKII) with formula : Spine * koffCaMKII * camR_CaMKII
  :  (camR_ca1_A_CaMKII) -> (camR_ca1_A, CaMKII) with formula : Spine * koffCaMKII * camR_ca1_A_CaMKII
  :  (camR_ca1_B_CaMKII) -> (camR_ca1_B, CaMKII) with formula : Spine * koffCaMKII * camR_ca1_B_CaMKII
  :  (camR_ca1_C_CaMKII) -> (camR_ca1_C, CaMKII) with formula : Spine * koffCaMKII * camR_ca1_C_CaMKII
  :  (camR_ca1_D_CaMKII) -> (camR_ca1_D, CaMKII) with formula : Spine * koffCaMKII * camR_ca1_D_CaMKII
  :  (camR_ca2_AB_CaMKII) -> (camR_ca2_AB, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_AB_CaMKII
  :  (camR_ca2_AC_CaMKII) -> (camR_ca2_AC, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_AC_CaMKII
  :  (camR_ca2_AD_CaMKII) -> (camR_ca2_AD, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_AD_CaMKII
  :  (camR_ca2_BC_CaMKII) -> (camR_ca2_BC, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_BC_CaMKII
  :  (camR_ca2_BD_CaMKII) -> (camR_ca2_BD, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_BD_CaMKII
  :  (camR_ca2_CD_CaMKII) -> (camR_ca2_CD, CaMKII) with formula : Spine * koffCaMKII * camR_ca2_CD_CaMKII
  :  (camR_ca3_ABC_CaMKII) -> (camR_ca3_ABC, CaMKII) with formula : Spine * koffCaMKII * camR_ca3_ABC_CaMKII
  :  (camR_ca3_ABD_CaMKII) -> (camR_ca3_ABD, CaMKII) with formula : Spine * koffCaMKII * camR_ca3_ABD_CaMKII
  :  (camR_ca3_ACD_CaMKII) -> (camR_ca3_ACD, CaMKII) with formula : Spine * koffCaMKII * camR_ca3_ACD_CaMKII
  :  (camR_ca3_BCD_CaMKII) -> (camR_ca3_BCD, CaMKII) with formula : Spine * koffCaMKII * camR_ca3_BCD_CaMKII
  :  (camR_ca4_ABCD_CaMKII) -> (camR_ca4_ABCD, CaMKII) with formula : Spine * koffCaMKII * camR_ca4_ABCD_CaMKII
  :  (camR, PP2B) -> (camR_PP2B) with formula : Spine * konPP2B * camR * PP2B
  :  (camR_ca1_A, PP2B) -> (camR_ca1_A_PP2B) with formula : Spine * konPP2B * camR_ca1_A * PP2B
  :  (camR_ca1_B, PP2B) -> (camR_ca1_B_PP2B) with formula : Spine * konPP2B * camR_ca1_B * PP2B
  :  (camR_ca1_C, PP2B) -> (camR_ca1_C_PP2B) with formula : Spine * konPP2B * camR_ca1_C * PP2B
  :  (camR_ca1_D, PP2B) -> (camR_ca1_D_PP2B) with formula : Spine * konPP2B * camR_ca1_D * PP2B
  :  (camR_ca2_AB, PP2B) -> (camR_ca2_AB_PP2B) with formula : Spine * konPP2B * camR_ca2_AB * PP2B
  :  (camR_ca2_AC, PP2B) -> (camR_ca2_AC_PP2B) with formula : Spine * konPP2B * camR_ca2_AC * PP2B
  :  (camR_ca2_AD, PP2B) -> (camR_ca2_AD_PP2B) with formula : Spine * konPP2B * camR_ca2_AD * PP2B
  :  (camR_ca2_BC, PP2B) -> (camR_ca2_BC_PP2B) with formula : Spine * konPP2B * camR_ca2_BC * PP2B
  :  (camR_ca2_BD, PP2B) -> (camR_ca2_BD_PP2B) with formula : Spine * konPP2B * camR_ca2_BD * PP2B
  :  (camR_ca2_CD, PP2B) -> (camR_ca2_CD_PP2B) with formula : Spine * konPP2B * camR_ca2_CD * PP2B
  :  (camR_ca3_ABC, PP2B) -> (camR_ca3_ABC_PP2B) with formula : Spine * konPP2B * camR_ca3_ABC * PP2B
  :  (camR_ca3_ABD, PP2B) -> (camR_ca3_ABD_PP2B) with formula : Spine * konPP2B * camR_ca3_ABD * PP2B
  :  (camR_ca3_ACD, PP2B) -> (camR_ca3_ACD_PP2B) with formula : Spine * konPP2B * camR_ca3_ACD * PP2B
  :  (camR_ca3_BCD, PP2B) -> (camR_ca3_BCD_PP2B) with formula : Spine * konPP2B * camR_ca3_BCD * PP2B
  :  (camR_ca4_ABCD, PP2B) -> (camR_ca4_ABCD_PP2B) with formula : Spine * konPP2B * camR_ca4_ABCD * PP2B
  :  (camR_PP2B) -> (camR, PP2B) with formula : Spine * koffPP2B * camR_PP2B
  :  (camR_ca1_A_PP2B) -> (camR_ca1_A, PP2B) with formula : Spine * koffPP2B * camR_ca1_A_PP2B
  :  (camR_ca1_B_PP2B) -> (camR_ca1_B, PP2B) with formula : Spine * koffPP2B * camR_ca1_B_PP2B
  :  (camR_ca1_C_PP2B) -> (camR_ca1_C, PP2B) with formula : Spine * koffPP2B * camR_ca1_C_PP2B
  :  (camR_ca1_D_PP2B) -> (camR_ca1_D, PP2B) with formula : Spine * koffPP2B * camR_ca1_D_PP2B
  :  (camR_ca2_AB_PP2B) -> (camR_ca2_AB, PP2B) with formula : Spine * koffPP2B * camR_ca2_AB_PP2B
  :  (camR_ca2_AC_PP2B) -> (camR_ca2_AC, PP2B) with formula : Spine * koffPP2B * camR_ca2_AC_PP2B
  :  (camR_ca2_AD_PP2B) -> (camR_ca2_AD, PP2B) with formula : Spine * koffPP2B * camR_ca2_AD_PP2B
  :  (camR_ca2_BC_PP2B) -> (camR_ca2_BC, PP2B) with formula : Spine * koffPP2B * camR_ca2_BC_PP2B
  :  (camR_ca2_BD_PP2B) -> (camR_ca2_BD, PP2B) with formula : Spine * koffPP2B * camR_ca2_BD_PP2B
  :  (camR_ca2_CD_PP2B) -> (camR_ca2_CD, PP2B) with formula : Spine * koffPP2B * camR_ca2_CD_PP2B
  :  (camR_ca3_ABC_PP2B) -> (camR_ca3_ABC, PP2B) with formula : Spine * koffPP2B * camR_ca3_ABC_PP2B
  :  (camR_ca3_ABD_PP2B) -> (camR_ca3_ABD, PP2B) with formula : Spine * koffPP2B * camR_ca3_ABD_PP2B
  :  (camR_ca3_ACD_PP2B) -> (camR_ca3_ACD, PP2B) with formula : Spine * koffPP2B * camR_ca3_ACD_PP2B
  :  (camR_ca3_BCD_PP2B) -> (camR_ca3_BCD, PP2B) with formula : Spine * koffPP2B * camR_ca3_BCD_PP2B
  :  (camR_ca4_ABCD_PP2B) -> (camR_ca4_ABCD, PP2B) with formula : Spine * koffPP2B * camR_ca4_ABCD_PP2B
  :  (camR_CaMKII, ca) -> (camR_ca1_A_CaMKII) with formula : Spine * kon * camR_CaMKII * ca
  :  (camR_CaMKII, ca) -> (camR_ca1_B_CaMKII) with formula : Spine * kon * camR_CaMKII * ca
  :  (camR_CaMKII, ca) -> (camR_ca1_C_CaMKII) with formula : Spine * kon * camR_CaMKII * ca
  :  (camR_CaMKII, ca) -> (camR_ca1_D_CaMKII) with formula : Spine * kon * camR_CaMKII * ca
  :  (camR_ca1_A_CaMKII) -> (camR_CaMKII, ca) with formula : Spine * koffRA * camR_ca1_A_CaMKII
  :  (camR_ca1_C_CaMKII) -> (camR_CaMKII, ca) with formula : Spine * koffRC * camR_ca1_C_CaMKII
  :  (camR_ca1_D_CaMKII) -> (camR_CaMKII, ca) with formula : Spine * koffRD * camR_ca1_D_CaMKII
  :  (camR_ca1_A_CaMKII, ca) -> (camR_ca2_AB_CaMKII) with formula : Spine * kon * camR_ca1_A_CaMKII * ca
  :  (camR_ca1_A_CaMKII, ca) -> (camR_ca2_AC_CaMKII) with formula : Spine * kon * camR_ca1_A_CaMKII * ca
  :  (camR_ca1_A_CaMKII, ca) -> (camR_ca2_AD_CaMKII) with formula : Spine * kon * camR_ca1_A_CaMKII * ca
  :  (camR_ca1_B_CaMKII, ca) -> (camR_ca2_AB_CaMKII) with formula : Spine * kon * camR_ca1_B_CaMKII * ca
  :  (camR_ca1_B_CaMKII, ca) -> (camR_ca2_BC_CaMKII) with formula : Spine * kon * camR_ca1_B_CaMKII * ca
  :  (camR_ca1_B_CaMKII, ca) -> (camR_ca2_BD_CaMKII) with formula : Spine * kon * camR_ca1_B_CaMKII * ca
  :  (camR_ca1_C_CaMKII, ca) -> (camR_ca2_AC_CaMKII) with formula : Spine * kon * camR_ca1_C_CaMKII * ca
  :  (camR_ca1_C_CaMKII, ca) -> (camR_ca2_BC_CaMKII) with formula : Spine * kon * camR_ca1_C_CaMKII * ca
  :  (camR_ca1_C_CaMKII, ca) -> (camR_ca2_CD_CaMKII) with formula : Spine * kon * camR_ca1_C_CaMKII * ca
  :  (camR_ca1_D_CaMKII, ca) -> (camR_ca2_AD_CaMKII) with formula : Spine * kon * camR_ca1_D_CaMKII * ca
  :  (camR_ca1_D_CaMKII, ca) -> (camR_ca2_BD_CaMKII) with formula : Spine * kon * camR_ca1_D_CaMKII * ca
  :  (camR_ca1_D_CaMKII, ca) -> (camR_ca2_CD_CaMKII) with formula : Spine * kon * camR_ca1_D_CaMKII * ca
  :  (camR_ca2_AB_CaMKII) -> (camR_ca1_B_CaMKII, ca) with formula : Spine * koffRA * camR_ca2_AB_CaMKII
  :  (camR_ca2_AB_CaMKII) -> (camR_ca1_A_CaMKII, ca) with formula : Spine * koffRB * camR_ca2_AB_CaMKII
  :  (camR_ca2_AC_CaMKII) -> (camR_ca1_C_CaMKII, ca) with formula : Spine * koffRA * camR_ca2_AC_CaMKII
  :  (camR_ca2_AC_CaMKII) -> (camR_ca1_A_CaMKII, ca) with formula : Spine * koffRC * camR_ca2_AC_CaMKII
  :  (camR_ca2_AD_CaMKII) -> (camR_ca1_D_CaMKII, ca) with formula : Spine * koffRA * camR_ca2_AD_CaMKII
  :  (camR_ca2_AD_CaMKII) -> (camR_ca1_A_CaMKII, ca) with formula : Spine * koffRD * camR_ca2_AD_CaMKII
  :  (camR_ca2_BC_CaMKII) -> (camR_ca1_C_CaMKII, ca) with formula : Spine * koffRB * camR_ca2_BC_CaMKII
  :  (camR_ca2_BC_CaMKII) -> (camR_ca1_B_CaMKII, ca) with formula : Spine * koffRC * camR_ca2_BC_CaMKII
  :  (camR_ca2_BD_CaMKII) -> (camR_ca1_D_CaMKII, ca) with formula : Spine * koffRB * camR_ca2_BD_CaMKII
  :  (camR_ca2_BD_CaMKII) -> (camR_ca1_B_CaMKII, ca) with formula : Spine * koffRD * camR_ca2_BD_CaMKII
  :  (camR_ca2_CD_CaMKII) -> (camR_ca1_D_CaMKII, ca) with formula : Spine * koffRC * camR_ca2_CD_CaMKII
  :  (camR_ca2_CD_CaMKII) -> (camR_ca1_C_CaMKII, ca) with formula : Spine * koffRD * camR_ca2_CD_CaMKII
  :  (camR_ca2_AB_CaMKII, ca) -> (camR_ca3_ABC_CaMKII) with formula : Spine * kon * camR_ca2_AB_CaMKII * ca
  :  (camR_ca2_AB_CaMKII, ca) -> (camR_ca3_ABD_CaMKII) with formula : Spine * kon * camR_ca2_AB_CaMKII * ca
  :  (camR_ca2_AC_CaMKII, ca) -> (camR_ca3_ABC_CaMKII) with formula : Spine * kon * camR_ca2_AC_CaMKII * ca
  :  (camR_ca2_AC_CaMKII, ca) -> (camR_ca3_ACD_CaMKII) with formula : Spine * kon * camR_ca2_AC_CaMKII * ca
  :  (camR_ca2_AD_CaMKII, ca) -> (camR_ca3_ABD_CaMKII) with formula : Spine * kon * camR_ca2_AD_CaMKII * ca
  :  (camR_ca2_AD_CaMKII, ca) -> (camR_ca3_ACD_CaMKII) with formula : Spine * kon * camR_ca2_AD_CaMKII * ca
  :  (camR_ca2_BC_CaMKII, ca) -> (camR_ca3_ABC_CaMKII) with formula : Spine * kon * camR_ca2_BC_CaMKII * ca
  :  (camR_ca2_BC_CaMKII, ca) -> (camR_ca3_BCD_CaMKII) with formula : Spine * kon * camR_ca2_BC_CaMKII * ca
  :  (camR_ca2_BD_CaMKII, ca) -> (camR_ca3_ABD_CaMKII) with formula : Spine * kon * camR_ca2_BD_CaMKII * ca
  :  (camR_ca2_BD_CaMKII, ca) -> (camR_ca3_BCD_CaMKII) with formula : Spine * kon * camR_ca2_BD_CaMKII * ca
  :  (camR_ca2_CD_CaMKII, ca) -> (camR_ca3_ACD_CaMKII) with formula : Spine * kon * camR_ca2_CD_CaMKII * ca
  :  (camR_ca2_CD_CaMKII, ca) -> (camR_ca3_BCD_CaMKII) with formula : Spine * kon * camR_ca2_CD_CaMKII * ca
  :  (camR_ca3_ABC_CaMKII) -> (camR_ca2_AB_CaMKII, ca) with formula : Spine * koffRC * camR_ca3_ABC_CaMKII
  :  (camR_ca3_ABC_CaMKII) -> (camR_ca2_AC_CaMKII, ca) with formula : Spine * koffRB * camR_ca3_ABC_CaMKII
  :  (camR_ca3_ABC_CaMKII) -> (camR_ca2_BC_CaMKII, ca) with formula : Spine * koffRA * camR_ca3_ABC_CaMKII
  :  (camR_ca3_ABD_CaMKII) -> (camR_ca2_AB_CaMKII, ca) with formula : Spine * koffRD * camR_ca3_ABD_CaMKII
  :  (camR_ca3_ABD_CaMKII) -> (camR_ca2_AD_CaMKII, ca) with formula : Spine * koffRB * camR_ca3_ABD_CaMKII
  :  (camR_ca3_ABD_CaMKII) -> (camR_ca2_BD_CaMKII, ca) with formula : Spine * koffRA * camR_ca3_ABD_CaMKII
  :  (camR_ca3_ACD_CaMKII) -> (camR_ca2_AC_CaMKII, ca) with formula : Spine * koffRD * camR_ca3_ACD_CaMKII
  :  (camR_ca3_ACD_CaMKII) -> (camR_ca2_AD_CaMKII, ca) with formula : Spine * koffRC * camR_ca3_ACD_CaMKII
  :  (camR_ca3_ACD_CaMKII) -> (camR_ca2_CD_CaMKII, ca) with formula : Spine * koffRA * camR_ca3_ACD_CaMKII
  :  (camR_ca3_BCD_CaMKII) -> (camR_ca2_BC_CaMKII, ca) with formula : Spine * koffRD * camR_ca3_BCD_CaMKII
  :  (camR_ca3_BCD_CaMKII) -> (camR_ca2_BD_CaMKII, ca) with formula : Spine * koffRC * camR_ca3_BCD_CaMKII
  :  (camR_ca3_BCD_CaMKII) -> (camR_ca2_CD_CaMKII, ca) with formula : Spine * koffRB * camR_ca3_BCD_CaMKII
  :  (camR_ca3_BCD_CaMKII, ca) -> (camR_ca4_ABCD_CaMKII) with formula : Spine * kon * camR_ca3_BCD_CaMKII * ca
  :  (camR_ca3_ACD_CaMKII, ca) -> (camR_ca4_ABCD_CaMKII) with formula : Spine * kon * camR_ca3_ACD_CaMKII * ca
  :  (camR_ca3_ABD_CaMKII, ca) -> (camR_ca4_ABCD_CaMKII) with formula : Spine * kon * camR_ca3_ABD_CaMKII * ca
  :  (camR_ca3_ABC_CaMKII, ca) -> (camR_ca4_ABCD_CaMKII) with formula : Spine * kon * camR_ca3_ABC_CaMKII * ca
  :  (camR_ca4_ABCD_CaMKII) -> (camR_ca3_BCD_CaMKII, ca) with formula : Spine * koffRA * camR_ca4_ABCD_CaMKII
  :  (camR_ca4_ABCD_CaMKII) -> (camR_ca3_ACD_CaMKII, ca) with formula : Spine * koffRB * camR_ca4_ABCD_CaMKII
  :  (camR_ca4_ABCD_CaMKII) -> (camR_ca3_ABD_CaMKII, ca) with formula : Spine * koffRC * camR_ca4_ABCD_CaMKII
  :  (camR_ca4_ABCD_CaMKII) -> (camR_ca3_ABC_CaMKII, ca) with formula : Spine * koffRD * camR_ca4_ABCD_CaMKII
  :  (camR_PP2B, ca) -> (camR_ca1_A_PP2B) with formula : Spine * kon * camR_PP2B * ca
  :  (camR_PP2B, ca) -> (camR_ca1_B_PP2B) with formula : Spine * kon * camR_PP2B * ca
  :  (camR_PP2B, ca) -> (camR_ca1_C_PP2B) with formula : Spine * kon * camR_PP2B * ca
  :  (camR_PP2B, ca) -> (camR_ca1_D_PP2B) with formula : Spine * kon * camR_PP2B * ca
  :  (camR_ca1_A_PP2B) -> (camR_PP2B, ca) with formula : Spine * koffRA * camR_ca1_A_PP2B
  :  (camR_ca1_B_PP2B) -> (camR_PP2B, ca) with formula : Spine * koffRB * camR_ca1_B_PP2B
  :  (camR_ca1_C_PP2B) -> (camR_PP2B, ca) with formula : Spine * koffRC * camR_ca1_C_PP2B
  :  (camR_ca1_D_PP2B) -> (camR_PP2B, ca) with formula : Spine * koffRD * camR_ca1_D_PP2B
  :  (camR_ca1_A_PP2B, ca) -> (camR_ca2_AB_PP2B) with formula : Spine * kon * camR_ca1_A_PP2B * ca
  :  (camR_ca1_A_PP2B, ca) -> (camR_ca2_AC_PP2B) with formula : Spine * kon * camR_ca1_A_PP2B * ca
  :  (camR_ca1_A_PP2B, ca) -> (camR_ca2_AD_PP2B) with formula : Spine * kon * camR_ca1_A_PP2B * ca
  :  (camR_ca1_B_PP2B, ca) -> (camR_ca2_AB_PP2B) with formula : Spine * kon * camR_ca1_B_PP2B * ca
  :  (camR_ca1_B_PP2B, ca) -> (camR_ca2_BC_PP2B) with formula : Spine * kon * camR_ca1_B_PP2B * ca
  :  (camR_ca1_B_PP2B, ca) -> (camR_ca2_BD_PP2B) with formula : Spine * kon * camR_ca1_B_PP2B * ca
  :  (camR_ca1_C_PP2B, ca) -> (camR_ca2_AC_PP2B) with formula : Spine * kon * camR_ca1_C_PP2B * ca
  :  (camR_ca1_C_PP2B, ca) -> (camR_ca2_BC_PP2B) with formula : Spine * kon * camR_ca1_C_PP2B * ca
  :  (camR_ca1_C_PP2B, ca) -> (camR_ca2_CD_PP2B) with formula : Spine * kon * camR_ca1_C_PP2B * ca
  :  (camR_ca1_D_PP2B, ca) -> (camR_ca2_AD_PP2B) with formula : Spine * kon * camR_ca1_D_PP2B * ca
  :  (camR_ca1_D_PP2B, ca) -> (camR_ca2_BD_PP2B) with formula : Spine * kon * camR_ca1_D_PP2B * ca
  :  (camR_ca1_D_PP2B, ca) -> (camR_ca2_CD_PP2B) with formula : Spine * kon * camR_ca1_D_PP2B * ca
  :  (camR_ca2_AB_PP2B) -> (camR_ca1_B_PP2B, ca) with formula : Spine * koffRA * camR_ca2_AB_PP2B
  :  (camR_ca2_AB_PP2B) -> (camR_ca1_A_PP2B, ca) with formula : Spine * koffRB * camR_ca2_AB_PP2B
  :  (camR_ca2_AC_PP2B) -> (camR_ca1_C_PP2B, ca) with formula : Spine * koffRA * camR_ca2_AC_PP2B
  :  (camR_ca2_AC_PP2B) -> (camR_ca1_A_PP2B, ca) with formula : Spine * koffRC * camR_ca2_AC_PP2B
  :  (camR_ca2_AD_PP2B) -> (camR_ca1_D_PP2B, ca) with formula : Spine * koffRA * camR_ca2_AD_PP2B
  :  (camR_ca2_AD_PP2B) -> (camR_ca1_A_PP2B, ca) with formula : Spine * koffRD * camR_ca2_AD_PP2B
  :  (camR_ca2_BC_PP2B) -> (camR_ca1_C_PP2B, ca) with formula : Spine * koffRB * camR_ca2_BC_PP2B
  :  (camR_ca2_BC_PP2B) -> (camR_ca1_B_PP2B, ca) with formula : Spine * koffRC * camR_ca2_BC_PP2B
  :  (camR_ca2_BD_PP2B) -> (camR_ca1_D_PP2B, ca) with formula : Spine * koffRB * camR_ca2_BD_PP2B
  :  (camR_ca2_BD_PP2B) -> (camR_ca1_B_PP2B, ca) with formula : Spine * koffRD * camR_ca2_BD_PP2B
  :  (camR_ca2_CD_PP2B) -> (camR_ca1_D_PP2B, ca) with formula : Spine * koffRC * camR_ca2_CD_PP2B
  :  (camR_ca2_CD_PP2B) -> (camR_ca1_C_PP2B, ca) with formula : Spine * koffRD * camR_ca2_CD_PP2B
  :  (camR_ca2_AB_PP2B, ca) -> (camR_ca3_ABC_PP2B) with formula : Spine * kon * camR_ca2_AB_PP2B * ca
  :  (camR_ca2_AB_PP2B, ca) -> (camR_ca3_ABD_PP2B) with formula : Spine * kon * camR_ca2_AB_PP2B * ca
  :  (camR_ca2_AC_PP2B, ca) -> (camR_ca3_ABC_PP2B) with formula : Spine * kon * camR_ca2_AC_PP2B * ca
  :  (camR_ca2_AC_PP2B, ca) -> (camR_ca3_ACD_PP2B) with formula : Spine * kon * camR_ca2_AC_PP2B * ca
  :  (camR_ca2_AD_PP2B, ca) -> (camR_ca3_ABD_PP2B) with formula : Spine * kon * camR_ca2_AD_PP2B * ca
  :  (camR_ca2_AD_PP2B, ca) -> (camR_ca3_ACD_PP2B) with formula : Spine * kon * camR_ca2_AD_PP2B * ca
  :  (camR_ca2_BC_PP2B, ca) -> (camR_ca3_ABC_PP2B) with formula : Spine * kon * camR_ca2_BC_PP2B * ca
  :  (camR_ca2_BC_PP2B, ca) -> (camR_ca3_BCD_PP2B) with formula : Spine * kon * camR_ca2_BC_PP2B * ca
  :  (camR_ca2_BD_PP2B, ca) -> (camR_ca3_ABD_PP2B) with formula : Spine * kon * camR_ca2_BD_PP2B * ca
  :  (camR_ca2_BD_PP2B, ca) -> (camR_ca3_BCD_PP2B) with formula : Spine * kon * camR_ca2_BD_PP2B * ca
  :  (camR_ca2_CD_PP2B, ca) -> (camR_ca3_ACD_PP2B) with formula : Spine * kon * camR_ca2_CD_PP2B * ca
  :  (camR_ca2_CD_PP2B, ca) -> (camR_ca3_BCD_PP2B) with formula : Spine * kon * camR_ca2_CD_PP2B * ca
  :  (camR_ca3_ABC_PP2B) -> (camR_ca2_BC_PP2B, ca) with formula : Spine * koffRA * camR_ca3_ABC_PP2B
  :  (camR_ca3_ABC_PP2B) -> (camR_ca2_AC_PP2B, ca) with formula : Spine * koffRB * camR_ca3_ABC_PP2B
  :  (camR_ca3_ABC_PP2B) -> (camR_ca2_AB_PP2B, ca) with formula : Spine * koffRC * camR_ca3_ABC_PP2B
  :  (camR_ca3_ABD_PP2B) -> (camR_ca2_BD_PP2B, ca) with formula : Spine * koffRA * camR_ca3_ABD_PP2B
  :  (camR_ca3_ABD_PP2B) -> (camR_ca2_AD_PP2B, ca) with formula : Spine * koffRB * camR_ca3_ABD_PP2B
  :  (camR_ca3_ABD_PP2B) -> (camR_ca2_AB_PP2B, ca) with formula : Spine * koffRD * camR_ca3_ABD_PP2B
  :  (camR_ca3_ACD_PP2B) -> (camR_ca2_CD_PP2B, ca) with formula : Spine * koffRA * camR_ca3_ACD_PP2B
  :  (camR_ca3_ACD_PP2B) -> (camR_ca2_AD_PP2B, ca) with formula : Spine * koffRC * camR_ca3_ACD_PP2B
  :  (camR_ca3_ACD_PP2B) -> (camR_ca2_AC_PP2B, ca) with formula : Spine * koffRD * camR_ca3_ACD_PP2B
  :  (camR_ca3_BCD_PP2B) -> (camR_ca2_CD_PP2B, ca) with formula : Spine * koffRB * camR_ca3_BCD_PP2B
  :  (camR_ca3_BCD_PP2B) -> (camR_ca2_BD_PP2B, ca) with formula : Spine * koffRC * camR_ca3_BCD_PP2B
  :  (camR_ca3_BCD_PP2B) -> (camR_ca2_BC_PP2B, ca) with formula : Spine * koffRD * camR_ca3_BCD_PP2B
  :  (camR_ca3_ABC_PP2B, ca) -> (camR_ca4_ABCD_PP2B) with formula : Spine * kon * camR_ca3_ABC_PP2B * ca
  :  (camR_ca3_ABD_PP2B, ca) -> (camR_ca4_ABCD_PP2B) with formula : Spine * kon * camR_ca3_ABD_PP2B * ca
  :  (camR_ca3_ACD_PP2B, ca) -> (camR_ca4_ABCD_PP2B) with formula : Spine * kon * camR_ca3_ACD_PP2B * ca
  :  (camR_ca3_BCD_PP2B, ca) -> (camR_ca4_ABCD_PP2B) with formula : Spine * kon * camR_ca3_BCD_PP2B * ca
  :  (camR_ca4_ABCD_PP2B) -> (camR_ca3_BCD_PP2B, ca) with formula : Spine * koffRA * camR_ca4_ABCD_PP2B
  :  (camR_ca4_ABCD_PP2B) -> (camR_ca3_ACD_PP2B, ca) with formula : Spine * koffRB * camR_ca4_ABCD_PP2B
  :  (camR_ca4_ABCD_PP2B) -> (camR_ca3_ABD_PP2B, ca) with formula : Spine * koffRC * camR_ca4_ABCD_PP2B
  :  (camR_ca4_ABCD_PP2B) -> (camR_ca3_ABC_PP2B, ca) with formula : Spine * koffRD * camR_ca4_ABCD_PP2B
  :  (camR_ca1_B_CaMKII) -> (camR_CaMKII, ca) with formula : Spine * koffRB * camR_ca1_B_CaMKII
  :  (camT_ca3_ABC) -> (camT_ca2_AB, ca) with formula : Spine * koffTC * camT_ca3_ABC
  camR' =  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  + (Spine * koffRA * camR_ca1_A) + (Spine * koffRB * camR_ca1_B) + (Spine * koffRC * camR_ca1_C) + (Spine * koffRD * camR_ca1_D) - (Spine * kRT * camR)  + (Spine * kTR * camT) - (Spine * konCaMKII * camR * CaMKII)  + (Spine * koffCaMKII * camR_CaMKII) - (Spine * konPP2B * camR * PP2B)  + (Spine * koffPP2B * camR_PP2B) 
  ca' =  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  - (Spine * kon * camR * ca)  + (Spine * koffRA * camR_ca1_A) + (Spine * koffRB * camR_ca1_B) + (Spine * koffRC * camR_ca1_C) + (Spine * koffRD * camR_ca1_D) - (Spine * kon * camR_ca1_A * ca)  - (Spine * kon * camR_ca1_A * ca)  - (Spine * kon * camR_ca1_A * ca)  - (Spine * kon * camR_ca1_B * ca)  - (Spine * kon * camR_ca1_B * ca)  - (Spine * kon * camR_ca1_B * ca)  - (Spine * kon * camR_ca1_C * ca)  - (Spine * kon * camR_ca1_C * ca)  - (Spine * kon * camR_ca1_C * ca)  - (Spine * kon * camR_ca1_D * ca)  - (Spine * kon * camR_ca1_D * ca)  - (Spine * kon * camR_ca1_D * ca)  + (Spine * koffRB * camR_ca2_AB) + (Spine * koffRC * camR_ca2_AC) + (Spine * koffRD * camR_ca2_AD) + (Spine * koffRA * camR_ca2_AB) + (Spine * koffRC * camR_ca2_BC) + (Spine * koffRD * camR_ca2_BD) + (Spine * koffRA * camR_ca2_AC) + (Spine * koffRB * camR_ca2_BC) + (Spine * koffRD * camR_ca2_CD) + (Spine * koffRA * camR_ca2_AD) + (Spine * koffRB * camR_ca2_BD) + (Spine * koffRC * camR_ca2_CD) - (Spine * kon * camR_ca2_AB * ca)  - (Spine * kon * camR_ca2_AB * ca)  - (Spine * kon * camR_ca2_AC * ca)  - (Spine * kon * camR_ca2_AC * ca)  - (Spine * kon * camR_ca2_AD * ca)  - (Spine * kon * camR_ca2_AD * ca)  - (Spine * kon * camR_ca2_BC * ca)  - (Spine * kon * camR_ca2_BC * ca)  - (Spine * kon * camR_ca2_BD * ca)  - (Spine * kon * camR_ca2_BD * ca)  - (Spine * kon * camR_ca2_CD * ca)  - (Spine * kon * camR_ca2_CD * ca)  + (Spine * koffRA * camR_ca3_ABC) + (Spine * koffRB * camR_ca3_ABC) + (Spine * koffRC * camR_ca3_ABC) + (Spine * koffRA * camR_ca3_ABD) + (Spine * koffRB * camR_ca3_ABD) + (Spine * koffRD * camR_ca3_ABD) + (Spine * koffRA * camR_ca3_ACD) + (Spine * koffRC * camR_ca3_ACD) + (Spine * koffRD * camR_ca3_ACD) + (Spine * koffRB * camR_ca3_BCD) + (Spine * koffRC * camR_ca3_BCD) + (Spine * koffRD * camR_ca3_BCD) - (Spine * kon * camR_ca3_ABC * ca)  - (Spine * kon * camR_ca3_ABD * ca)  - (Spine * kon * camR_ca3_ACD * ca)  - (Spine * kon * camR_ca3_BCD * ca)  + (Spine * koffRD * camR_ca4_ABCD) + (Spine * koffRC * camR_ca4_ABCD) + (Spine * koffRB * camR_ca4_ABCD) + (Spine * koffRA * camR_ca4_ABCD) - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  + (Spine * koffTA * camT_ca1_A) + (Spine * koffTB * camT_ca1_B) + (Spine * koffTC * camT_ca1_C) + (Spine * koffTD * camT_ca1_D) - (Spine * kon * camT_ca1_A * ca)  - (Spine * kon * camT_ca1_A * ca)  - (Spine * kon * camT_ca1_A * ca)  - (Spine * kon * camT_ca1_B * ca)  - (Spine * kon * camT_ca1_B * ca)  - (Spine * kon * camT_ca1_B * ca)  - (Spine * kon * camT_ca1_C * ca)  - (Spine * kon * camT_ca1_C * ca)  - (Spine * kon * camT_ca1_C * ca)  - (Spine * kon * camT_ca1_D * ca)  - (Spine * kon * camT_ca1_D * ca)  - (Spine * kon * camT_ca1_D * ca)  + (Spine * koffTA * camT_ca2_AB) + (Spine * koffTB * camT_ca2_AB) + (Spine * koffTA * camT_ca2_AC) + (Spine * koffTC * camT_ca2_AC) + (Spine * koffTA * camT_ca2_AD) + (Spine * koffTD * camT_ca2_AD) + (Spine * koffTB * camT_ca2_BC) + (Spine * koffTC * camT_ca2_BC) + (Spine * koffTB * camT_ca2_BD) + (Spine * koffTD * camT_ca2_BD) + (Spine * koffTC * camT_ca2_CD) + (Spine * koffTD * camT_ca2_CD) - (Spine * kon * camT_ca2_AB * ca)  - (Spine * kon * camT_ca2_AB * ca)  - (Spine * kon * camT_ca2_AC * ca)  - (Spine * kon * camT_ca2_AC * ca)  - (Spine * kon * camT_ca2_AD * ca)  - (Spine * kon * camT_ca2_AD * ca)  - (Spine * kon * camT_ca2_BC * ca)  - (Spine * kon * camT_ca2_BC * ca)  - (Spine * kon * camT_ca2_BD * ca)  - (Spine * kon * camT_ca2_BD * ca)  - (Spine * kon * camT_ca2_CD * ca)  - (Spine * kon * camT_ca2_CD * ca)  + (Spine * koffTB * camT_ca3_ABC) + (Spine * koffTA * camT_ca3_ABC) + (Spine * koffTD * camT_ca3_ABD) + (Spine * koffTB * camT_ca3_ABD) + (Spine * koffTA * camT_ca3_ABD) + (Spine * koffTD * camT_ca3_ACD) + (Spine * koffTC * camT_ca3_ACD) + (Spine * koffTA * camT_ca3_ACD) + (Spine * koffTD * camT_ca3_BCD) + (Spine * koffTC * camT_ca3_BCD) + (Spine * koffTB * camT_ca3_BCD) - (Spine * kon * camT_ca3_ABC * ca)  - (Spine * kon * camT_ca3_ABD * ca)  - (Spine * kon * camT_ca3_ACD * ca)  - (Spine * kon * camT_ca3_BCD * ca)  + (Spine * koffTD * camT_ca4_ABCD) + (Spine * koffTC * camT_ca4_ABCD) + (Spine * koffTB * camT_ca4_ABCD) + (Spine * koffTA * camT_ca4_ABCD) - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  + (Spine * koffRA * camR_ca1_A_CaMKII) + (Spine * koffRC * camR_ca1_C_CaMKII) + (Spine * koffRD * camR_ca1_D_CaMKII) - (Spine * kon * camR_ca1_A_CaMKII * ca)  - (Spine * kon * camR_ca1_A_CaMKII * ca)  - (Spine * kon * camR_ca1_A_CaMKII * ca)  - (Spine * kon * camR_ca1_B_CaMKII * ca)  - (Spine * kon * camR_ca1_B_CaMKII * ca)  - (Spine * kon * camR_ca1_B_CaMKII * ca)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  + (Spine * koffRA * camR_ca2_AB_CaMKII) + (Spine * koffRB * camR_ca2_AB_CaMKII) + (Spine * koffRA * camR_ca2_AC_CaMKII) + (Spine * koffRC * camR_ca2_AC_CaMKII) + (Spine * koffRA * camR_ca2_AD_CaMKII) + (Spine * koffRD * camR_ca2_AD_CaMKII) + (Spine * koffRB * camR_ca2_BC_CaMKII) + (Spine * koffRC * camR_ca2_BC_CaMKII) + (Spine * koffRB * camR_ca2_BD_CaMKII) + (Spine * koffRD * camR_ca2_BD_CaMKII) + (Spine * koffRC * camR_ca2_CD_CaMKII) + (Spine * koffRD * camR_ca2_CD_CaMKII) - (Spine * kon * camR_ca2_AB_CaMKII * ca)  - (Spine * kon * camR_ca2_AB_CaMKII * ca)  - (Spine * kon * camR_ca2_AC_CaMKII * ca)  - (Spine * kon * camR_ca2_AC_CaMKII * ca)  - (Spine * kon * camR_ca2_AD_CaMKII * ca)  - (Spine * kon * camR_ca2_AD_CaMKII * ca)  - (Spine * kon * camR_ca2_BC_CaMKII * ca)  - (Spine * kon * camR_ca2_BC_CaMKII * ca)  - (Spine * kon * camR_ca2_BD_CaMKII * ca)  - (Spine * kon * camR_ca2_BD_CaMKII * ca)  - (Spine * kon * camR_ca2_CD_CaMKII * ca)  - (Spine * kon * camR_ca2_CD_CaMKII * ca)  + (Spine * koffRC * camR_ca3_ABC_CaMKII) + (Spine * koffRB * camR_ca3_ABC_CaMKII) + (Spine * koffRA * camR_ca3_ABC_CaMKII) + (Spine * koffRD * camR_ca3_ABD_CaMKII) + (Spine * koffRB * camR_ca3_ABD_CaMKII) + (Spine * koffRA * camR_ca3_ABD_CaMKII) + (Spine * koffRD * camR_ca3_ACD_CaMKII) + (Spine * koffRC * camR_ca3_ACD_CaMKII) + (Spine * koffRA * camR_ca3_ACD_CaMKII) + (Spine * koffRD * camR_ca3_BCD_CaMKII) + (Spine * koffRC * camR_ca3_BCD_CaMKII) + (Spine * koffRB * camR_ca3_BCD_CaMKII) - (Spine * kon * camR_ca3_BCD_CaMKII * ca)  - (Spine * kon * camR_ca3_ACD_CaMKII * ca)  - (Spine * kon * camR_ca3_ABD_CaMKII * ca)  - (Spine * kon * camR_ca3_ABC_CaMKII * ca)  + (Spine * koffRA * camR_ca4_ABCD_CaMKII) + (Spine * koffRB * camR_ca4_ABCD_CaMKII) + (Spine * koffRC * camR_ca4_ABCD_CaMKII) + (Spine * koffRD * camR_ca4_ABCD_CaMKII) - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  + (Spine * koffRA * camR_ca1_A_PP2B) + (Spine * koffRB * camR_ca1_B_PP2B) + (Spine * koffRC * camR_ca1_C_PP2B) + (Spine * koffRD * camR_ca1_D_PP2B) - (Spine * kon * camR_ca1_A_PP2B * ca)  - (Spine * kon * camR_ca1_A_PP2B * ca)  - (Spine * kon * camR_ca1_A_PP2B * ca)  - (Spine * kon * camR_ca1_B_PP2B * ca)  - (Spine * kon * camR_ca1_B_PP2B * ca)  - (Spine * kon * camR_ca1_B_PP2B * ca)  - (Spine * kon * camR_ca1_C_PP2B * ca)  - (Spine * kon * camR_ca1_C_PP2B * ca)  - (Spine * kon * camR_ca1_C_PP2B * ca)  - (Spine * kon * camR_ca1_D_PP2B * ca)  - (Spine * kon * camR_ca1_D_PP2B * ca)  - (Spine * kon * camR_ca1_D_PP2B * ca)  + (Spine * koffRA * camR_ca2_AB_PP2B) + (Spine * koffRB * camR_ca2_AB_PP2B) + (Spine * koffRA * camR_ca2_AC_PP2B) + (Spine * koffRC * camR_ca2_AC_PP2B) + (Spine * koffRA * camR_ca2_AD_PP2B) + (Spine * koffRD * camR_ca2_AD_PP2B) + (Spine * koffRB * camR_ca2_BC_PP2B) + (Spine * koffRC * camR_ca2_BC_PP2B) + (Spine * koffRB * camR_ca2_BD_PP2B) + (Spine * koffRD * camR_ca2_BD_PP2B) + (Spine * koffRC * camR_ca2_CD_PP2B) + (Spine * koffRD * camR_ca2_CD_PP2B) - (Spine * kon * camR_ca2_AB_PP2B * ca)  - (Spine * kon * camR_ca2_AB_PP2B * ca)  - (Spine * kon * camR_ca2_AC_PP2B * ca)  - (Spine * kon * camR_ca2_AC_PP2B * ca)  - (Spine * kon * camR_ca2_AD_PP2B * ca)  - (Spine * kon * camR_ca2_AD_PP2B * ca)  - (Spine * kon * camR_ca2_BC_PP2B * ca)  - (Spine * kon * camR_ca2_BC_PP2B * ca)  - (Spine * kon * camR_ca2_BD_PP2B * ca)  - (Spine * kon * camR_ca2_BD_PP2B * ca)  - (Spine * kon * camR_ca2_CD_PP2B * ca)  - (Spine * kon * camR_ca2_CD_PP2B * ca)  + (Spine * koffRA * camR_ca3_ABC_PP2B) + (Spine * koffRB * camR_ca3_ABC_PP2B) + (Spine * koffRC * camR_ca3_ABC_PP2B) + (Spine * koffRA * camR_ca3_ABD_PP2B) + (Spine * koffRB * camR_ca3_ABD_PP2B) + (Spine * koffRD * camR_ca3_ABD_PP2B) + (Spine * koffRA * camR_ca3_ACD_PP2B) + (Spine * koffRC * camR_ca3_ACD_PP2B) + (Spine * koffRD * camR_ca3_ACD_PP2B) + (Spine * koffRB * camR_ca3_BCD_PP2B) + (Spine * koffRC * camR_ca3_BCD_PP2B) + (Spine * koffRD * camR_ca3_BCD_PP2B) - (Spine * kon * camR_ca3_ABC_PP2B * ca)  - (Spine * kon * camR_ca3_ABD_PP2B * ca)  - (Spine * kon * camR_ca3_ACD_PP2B * ca)  - (Spine * kon * camR_ca3_BCD_PP2B * ca)  + (Spine * koffRA * camR_ca4_ABCD_PP2B) + (Spine * koffRB * camR_ca4_ABCD_PP2B) + (Spine * koffRC * camR_ca4_ABCD_PP2B) + (Spine * koffRD * camR_ca4_ABCD_PP2B) + (Spine * koffRB * camR_ca1_B_CaMKII) + (Spine * koffTC * camT_ca3_ABC) 
  camR_ca1_A' =  (Spine * kon * camR * ca) - (Spine * koffRA * camR_ca1_A)  - (Spine * kon * camR_ca1_A * ca)  - (Spine * kon * camR_ca1_A * ca)  - (Spine * kon * camR_ca1_A * ca)  + (Spine * koffRB * camR_ca2_AB) + (Spine * koffRC * camR_ca2_AC) + (Spine * koffRD * camR_ca2_AD) - (Spine * kRT * camR_ca1_A)  + (Spine * function_1(kTR, cA, camT_ca1_A)) - (Spine * konCaMKII * camR_ca1_A * CaMKII)  + (Spine * koffCaMKII * camR_ca1_A_CaMKII) - (Spine * konPP2B * camR_ca1_A * PP2B)  + (Spine * koffPP2B * camR_ca1_A_PP2B) 
  camR_ca1_B' =  (Spine * kon * camR * ca) - (Spine * koffRB * camR_ca1_B)  - (Spine * kon * camR_ca1_B * ca)  - (Spine * kon * camR_ca1_B * ca)  - (Spine * kon * camR_ca1_B * ca)  + (Spine * koffRA * camR_ca2_AB) + (Spine * koffRC * camR_ca2_BC) + (Spine * koffRD * camR_ca2_BD) - (Spine * kRT * camR_ca1_B)  + (Spine * function_2(kTR, cB, camT_ca1_B)) - (Spine * konCaMKII * camR_ca1_B * CaMKII)  + (Spine * koffCaMKII * camR_ca1_B_CaMKII) - (Spine * konPP2B * camR_ca1_B * PP2B)  + (Spine * koffPP2B * camR_ca1_B_PP2B) 
  camR_ca1_C' =  (Spine * kon * camR * ca) - (Spine * koffRC * camR_ca1_C)  - (Spine * kon * camR_ca1_C * ca)  - (Spine * kon * camR_ca1_C * ca)  - (Spine * kon * camR_ca1_C * ca)  + (Spine * koffRA * camR_ca2_AC) + (Spine * koffRB * camR_ca2_BC) + (Spine * koffRD * camR_ca2_CD) - (Spine * kRT * camR_ca1_C)  + (Spine * function_3(kTR, cC, camT_ca1_C)) - (Spine * konCaMKII * camR_ca1_C * CaMKII)  + (Spine * koffCaMKII * camR_ca1_C_CaMKII) - (Spine * konPP2B * camR_ca1_C * PP2B)  + (Spine * koffPP2B * camR_ca1_C_PP2B) 
  camR_ca1_D' =  (Spine * kon * camR * ca) - (Spine * koffRD * camR_ca1_D)  - (Spine * kon * camR_ca1_D * ca)  - (Spine * kon * camR_ca1_D * ca)  - (Spine * kon * camR_ca1_D * ca)  + (Spine * koffRA * camR_ca2_AD) + (Spine * koffRB * camR_ca2_BD) + (Spine * koffRC * camR_ca2_CD) - (Spine * kRT * camR_ca1_D)  + (Spine * function_4(kTR, cD, camT_ca1_D)) - (Spine * konCaMKII * camR_ca1_D * CaMKII)  + (Spine * koffCaMKII * camR_ca1_D_CaMKII) - (Spine * konPP2B * camR_ca1_D * PP2B)  + (Spine * koffPP2B * camR_ca1_D_PP2B) 
  camR_ca2_AB' =  (Spine * kon * camR_ca1_A * ca) + (Spine * kon * camR_ca1_B * ca) - (Spine * koffRB * camR_ca2_AB)  - (Spine * koffRA * camR_ca2_AB)  - (Spine * kon * camR_ca2_AB * ca)  - (Spine * kon * camR_ca2_AB * ca)  + (Spine * koffRC * camR_ca3_ABC) + (Spine * koffRD * camR_ca3_ABD) - (Spine * function_5(cA, cB, kRT, camR_ca2_AB))  + (Spine * function_11(kTR, cA, cB, camT_ca2_AB)) - (Spine * konCaMKII * camR_ca2_AB * CaMKII)  + (Spine * koffCaMKII * camR_ca2_AB_CaMKII) - (Spine * konPP2B * camR_ca2_AB * PP2B)  + (Spine * koffPP2B * camR_ca2_AB_PP2B) 
  camR_ca2_AC' =  (Spine * kon * camR_ca1_A * ca) + (Spine * kon * camR_ca1_C * ca) - (Spine * koffRC * camR_ca2_AC)  - (Spine * koffRA * camR_ca2_AC)  - (Spine * kon * camR_ca2_AC * ca)  - (Spine * kon * camR_ca2_AC * ca)  + (Spine * koffRB * camR_ca3_ABC) + (Spine * koffRD * camR_ca3_ACD) - (Spine * function_6(cA, cC, kRT, camR_ca2_AC))  + (Spine * function_12(kTR, cA, cC, camT_ca2_AC)) - (Spine * konCaMKII * camR_ca2_AC * CaMKII)  + (Spine * koffCaMKII * camR_ca2_AC_CaMKII) - (Spine * konPP2B * camR_ca2_AC * PP2B)  + (Spine * koffPP2B * camR_ca2_AC_PP2B) 
  camR_ca2_AD' =  (Spine * kon * camR_ca1_A * ca) + (Spine * kon * camR_ca1_D * ca) - (Spine * koffRD * camR_ca2_AD)  - (Spine * koffRA * camR_ca2_AD)  - (Spine * kon * camR_ca2_AD * ca)  - (Spine * kon * camR_ca2_AD * ca)  + (Spine * koffRB * camR_ca3_ABD) + (Spine * koffRC * camR_ca3_ACD) - (Spine * function_7(cA, cD, kRT, camR_ca2_AD))  + (Spine * function_13(kTR, cA, cD, camT_ca2_AD)) - (Spine * konCaMKII * camR_ca2_AD * CaMKII)  + (Spine * koffCaMKII * camR_ca2_AD_CaMKII) - (Spine * konPP2B * camR_ca2_AD * PP2B)  + (Spine * koffPP2B * camR_ca2_AD_PP2B) 
  camR_ca2_BC' =  (Spine * kon * camR_ca1_B * ca) + (Spine * kon * camR_ca1_C * ca) - (Spine * koffRC * camR_ca2_BC)  - (Spine * koffRB * camR_ca2_BC)  - (Spine * kon * camR_ca2_BC * ca)  - (Spine * kon * camR_ca2_BC * ca)  + (Spine * koffRA * camR_ca3_ABC) + (Spine * koffRD * camR_ca3_BCD) - (Spine * function_8(cB, cC, kRT, camR_ca2_BC))  + (Spine * function_14(kTR, cB, cC, camT_ca2_BC)) - (Spine * konCaMKII * camR_ca2_BC * CaMKII)  + (Spine * koffCaMKII * camR_ca2_BC_CaMKII) - (Spine * konPP2B * camR_ca2_BC * PP2B)  + (Spine * koffPP2B * camR_ca2_BC_PP2B) 
  camR_ca2_BD' =  (Spine * kon * camR_ca1_B * ca) + (Spine * kon * camR_ca1_D * ca) - (Spine * koffRD * camR_ca2_BD)  - (Spine * koffRB * camR_ca2_BD)  - (Spine * kon * camR_ca2_BD * ca)  - (Spine * kon * camR_ca2_BD * ca)  + (Spine * koffRA * camR_ca3_ABD) + (Spine * koffRC * camR_ca3_BCD) - (Spine * function_9(cB, cD, kRT, camR_ca2_BD))  + (Spine * function_15(kTR, cB, cD, camT_ca2_BD)) - (Spine * konCaMKII * camR_ca2_BD * CaMKII)  + (Spine * koffCaMKII * camR_ca2_BD_CaMKII) - (Spine * konPP2B * camR_ca2_BD * PP2B)  + (Spine * koffPP2B * camR_ca2_BD_PP2B) 
  camR_ca2_CD' =  (Spine * kon * camR_ca1_C * ca) + (Spine * kon * camR_ca1_D * ca) - (Spine * koffRD * camR_ca2_CD)  - (Spine * koffRC * camR_ca2_CD)  - (Spine * kon * camR_ca2_CD * ca)  - (Spine * kon * camR_ca2_CD * ca)  + (Spine * koffRA * camR_ca3_ACD) + (Spine * koffRB * camR_ca3_BCD) - (Spine * function_10(cC, cD, kRT, camR_ca2_CD))  + (Spine * function_16(kTR, cC, cD, camT_ca2_CD)) - (Spine * konCaMKII * camR_ca2_CD * CaMKII)  + (Spine * koffCaMKII * camR_ca2_CD_CaMKII) - (Spine * konPP2B * camR_ca2_CD * PP2B)  + (Spine * koffPP2B * camR_ca2_CD_PP2B) 
  camR_ca3_ABC' =  (Spine * kon * camR_ca2_AB * ca) + (Spine * kon * camR_ca2_AC * ca) + (Spine * kon * camR_ca2_BC * ca) - (Spine * koffRA * camR_ca3_ABC)  - (Spine * koffRB * camR_ca3_ABC)  - (Spine * koffRC * camR_ca3_ABC)  - (Spine * kon * camR_ca3_ABC * ca)  + (Spine * koffRD * camR_ca4_ABCD) - (Spine * function_17(cA, cB, cC, kRT, camR_ca3_ABC))  + (Spine * function_21(kTR, cA, cB, cC, camT_ca3_ABC)) - (Spine * konCaMKII * camR_ca3_ABC * CaMKII)  + (Spine * koffCaMKII * camR_ca3_ABC_CaMKII) - (Spine * konPP2B * camR_ca3_ABC * PP2B)  + (Spine * koffPP2B * camR_ca3_ABC_PP2B) 
  camR_ca3_ABD' =  (Spine * kon * camR_ca2_AB * ca) + (Spine * kon * camR_ca2_AD * ca) + (Spine * kon * camR_ca2_BD * ca) - (Spine * koffRA * camR_ca3_ABD)  - (Spine * koffRB * camR_ca3_ABD)  - (Spine * koffRD * camR_ca3_ABD)  - (Spine * kon * camR_ca3_ABD * ca)  + (Spine * koffRC * camR_ca4_ABCD) - (Spine * function_18(cA, cB, cD, kRT, camR_ca3_ABD))  + (Spine * function_22(kTR, cA, cB, cD, camT_ca3_ABD)) - (Spine * konCaMKII * camR_ca3_ABD * CaMKII)  + (Spine * koffCaMKII * camR_ca3_ABD_CaMKII) - (Spine * konPP2B * camR_ca3_ABD * PP2B)  + (Spine * koffPP2B * camR_ca3_ABD_PP2B) 
  camR_ca3_ACD' =  (Spine * kon * camR_ca2_AC * ca) + (Spine * kon * camR_ca2_AD * ca) + (Spine * kon * camR_ca2_CD * ca) - (Spine * koffRA * camR_ca3_ACD)  - (Spine * koffRC * camR_ca3_ACD)  - (Spine * koffRD * camR_ca3_ACD)  - (Spine * kon * camR_ca3_ACD * ca)  + (Spine * koffRB * camR_ca4_ABCD) - (Spine * function_19(cA, cC, cD, kRT, camR_ca3_ACD))  + (Spine * function_23(kTR, cA, cC, cD, camT_ca3_ACD)) - (Spine * konCaMKII * camR_ca3_ACD * CaMKII)  + (Spine * koffCaMKII * camR_ca3_ACD_CaMKII) - (Spine * konPP2B * camR_ca3_ACD * PP2B)  + (Spine * koffPP2B * camR_ca3_ACD_PP2B) 
  camR_ca3_BCD' =  (Spine * kon * camR_ca2_BC * ca) + (Spine * kon * camR_ca2_BD * ca) + (Spine * kon * camR_ca2_CD * ca) - (Spine * koffRB * camR_ca3_BCD)  - (Spine * koffRC * camR_ca3_BCD)  - (Spine * koffRD * camR_ca3_BCD)  - (Spine * kon * camR_ca3_BCD * ca)  + (Spine * koffRA * camR_ca4_ABCD) - (Spine * function_20(cB, cC, cD, kRT, camR_ca3_BCD))  + (Spine * function_24(kTR, cB, cC, cD, camT_ca3_BCD)) - (Spine * konCaMKII * camR_ca3_BCD * CaMKII)  + (Spine * koffCaMKII * camR_ca3_BCD_CaMKII) - (Spine * konPP2B * camR_ca3_BCD * PP2B)  + (Spine * koffPP2B * camR_ca3_BCD_PP2B) 
  camR_ca4_ABCD' =  (Spine * kon * camR_ca3_ABC * ca) + (Spine * kon * camR_ca3_ABD * ca) + (Spine * kon * camR_ca3_ACD * ca) + (Spine * kon * camR_ca3_BCD * ca) - (Spine * koffRD * camR_ca4_ABCD)  - (Spine * koffRC * camR_ca4_ABCD)  - (Spine * koffRB * camR_ca4_ABCD)  - (Spine * koffRA * camR_ca4_ABCD)  - (Spine * function_25(cA, cB, cC, cD, kRT, camR_ca4_ABCD))  + (Spine * function_26(kTR, cA, cB, cC, cD, camT_ca4_ABCD)) - (Spine * konCaMKII * camR_ca4_ABCD * CaMKII)  + (Spine * koffCaMKII * camR_ca4_ABCD_CaMKII) - (Spine * konPP2B * camR_ca4_ABCD * PP2B)  + (Spine * koffPP2B * camR_ca4_ABCD_PP2B) 
  camT' =  - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  - (Spine * kon * camT * ca)  + (Spine * koffTA * camT_ca1_A) + (Spine * koffTB * camT_ca1_B) + (Spine * koffTC * camT_ca1_C) + (Spine * koffTD * camT_ca1_D) + (Spine * kRT * camR) - (Spine * kTR * camT)  
  camT_ca1_A' =  (Spine * kon * camT * ca) - (Spine * koffTA * camT_ca1_A)  - (Spine * kon * camT_ca1_A * ca)  - (Spine * kon * camT_ca1_A * ca)  - (Spine * kon * camT_ca1_A * ca)  + (Spine * koffTB * camT_ca2_AB) + (Spine * koffTC * camT_ca2_AC) + (Spine * koffTD * camT_ca2_AD) + (Spine * kRT * camR_ca1_A) - (Spine * function_1(kTR, cA, camT_ca1_A))  
  camT_ca1_B' =  (Spine * kon * camT * ca) - (Spine * koffTB * camT_ca1_B)  - (Spine * kon * camT_ca1_B * ca)  - (Spine * kon * camT_ca1_B * ca)  - (Spine * kon * camT_ca1_B * ca)  + (Spine * koffTA * camT_ca2_AB) + (Spine * koffTC * camT_ca2_BC) + (Spine * koffTD * camT_ca2_BD) + (Spine * kRT * camR_ca1_B) - (Spine * function_2(kTR, cB, camT_ca1_B))  
  camT_ca1_C' =  (Spine * kon * camT * ca) - (Spine * koffTC * camT_ca1_C)  - (Spine * kon * camT_ca1_C * ca)  - (Spine * kon * camT_ca1_C * ca)  - (Spine * kon * camT_ca1_C * ca)  + (Spine * koffTA * camT_ca2_AC) + (Spine * koffTB * camT_ca2_BC) + (Spine * koffTD * camT_ca2_CD) + (Spine * kRT * camR_ca1_C) - (Spine * function_3(kTR, cC, camT_ca1_C))  
  camT_ca1_D' =  (Spine * kon * camT * ca) - (Spine * koffTD * camT_ca1_D)  - (Spine * kon * camT_ca1_D * ca)  - (Spine * kon * camT_ca1_D * ca)  - (Spine * kon * camT_ca1_D * ca)  + (Spine * koffTA * camT_ca2_AD) + (Spine * koffTB * camT_ca2_BD) + (Spine * koffTC * camT_ca2_CD) + (Spine * kRT * camR_ca1_D) - (Spine * function_4(kTR, cD, camT_ca1_D))  
  camT_ca2_AB' =  (Spine * kon * camT_ca1_A * ca) + (Spine * kon * camT_ca1_B * ca) - (Spine * koffTA * camT_ca2_AB)  - (Spine * koffTB * camT_ca2_AB)  - (Spine * kon * camT_ca2_AB * ca)  - (Spine * kon * camT_ca2_AB * ca)  + (Spine * koffTD * camT_ca3_ABD) + (Spine * function_5(cA, cB, kRT, camR_ca2_AB)) - (Spine * function_11(kTR, cA, cB, camT_ca2_AB))  + (Spine * koffTC * camT_ca3_ABC) 
  camT_ca2_AC' =  (Spine * kon * camT_ca1_A * ca) + (Spine * kon * camT_ca1_C * ca) - (Spine * koffTA * camT_ca2_AC)  - (Spine * koffTC * camT_ca2_AC)  - (Spine * kon * camT_ca2_AC * ca)  - (Spine * kon * camT_ca2_AC * ca)  + (Spine * koffTB * camT_ca3_ABC) + (Spine * koffTD * camT_ca3_ACD) + (Spine * function_6(cA, cC, kRT, camR_ca2_AC)) - (Spine * function_12(kTR, cA, cC, camT_ca2_AC))  
  camT_ca2_AD' =  (Spine * kon * camT_ca1_A * ca) + (Spine * kon * camT_ca1_D * ca) - (Spine * koffTA * camT_ca2_AD)  - (Spine * koffTD * camT_ca2_AD)  - (Spine * kon * camT_ca2_AD * ca)  - (Spine * kon * camT_ca2_AD * ca)  + (Spine * koffTB * camT_ca3_ABD) + (Spine * koffTC * camT_ca3_ACD) + (Spine * function_7(cA, cD, kRT, camR_ca2_AD)) - (Spine * function_13(kTR, cA, cD, camT_ca2_AD))  
  camT_ca2_BC' =  (Spine * kon * camT_ca1_B * ca) + (Spine * kon * camT_ca1_C * ca) - (Spine * koffTB * camT_ca2_BC)  - (Spine * koffTC * camT_ca2_BC)  - (Spine * kon * camT_ca2_BC * ca)  - (Spine * kon * camT_ca2_BC * ca)  + (Spine * koffTA * camT_ca3_ABC) + (Spine * koffTD * camT_ca3_BCD) + (Spine * function_8(cB, cC, kRT, camR_ca2_BC)) - (Spine * function_14(kTR, cB, cC, camT_ca2_BC))  
  camT_ca2_BD' =  (Spine * kon * camT_ca1_B * ca) + (Spine * kon * camT_ca1_D * ca) - (Spine * koffTB * camT_ca2_BD)  - (Spine * koffTD * camT_ca2_BD)  - (Spine * kon * camT_ca2_BD * ca)  - (Spine * kon * camT_ca2_BD * ca)  + (Spine * koffTA * camT_ca3_ABD) + (Spine * koffTC * camT_ca3_BCD) + (Spine * function_9(cB, cD, kRT, camR_ca2_BD)) - (Spine * function_15(kTR, cB, cD, camT_ca2_BD))  
  camT_ca2_CD' =  (Spine * kon * camT_ca1_C * ca) + (Spine * kon * camT_ca1_D * ca) - (Spine * koffTC * camT_ca2_CD)  - (Spine * koffTD * camT_ca2_CD)  - (Spine * kon * camT_ca2_CD * ca)  - (Spine * kon * camT_ca2_CD * ca)  + (Spine * koffTA * camT_ca3_ACD) + (Spine * koffTB * camT_ca3_BCD) + (Spine * function_10(cC, cD, kRT, camR_ca2_CD)) - (Spine * function_16(kTR, cC, cD, camT_ca2_CD))  
  camT_ca3_ABC' =  (Spine * kon * camT_ca2_AB * ca) + (Spine * kon * camT_ca2_AC * ca) + (Spine * kon * camT_ca2_BC * ca) - (Spine * koffTB * camT_ca3_ABC)  - (Spine * koffTA * camT_ca3_ABC)  - (Spine * kon * camT_ca3_ABC * ca)  + (Spine * koffTD * camT_ca4_ABCD) + (Spine * function_17(cA, cB, cC, kRT, camR_ca3_ABC)) - (Spine * function_21(kTR, cA, cB, cC, camT_ca3_ABC))  - (Spine * koffTC * camT_ca3_ABC)  
  camT_ca3_ABD' =  (Spine * kon * camT_ca2_AB * ca) + (Spine * kon * camT_ca2_AD * ca) + (Spine * kon * camT_ca2_BD * ca) - (Spine * koffTD * camT_ca3_ABD)  - (Spine * koffTB * camT_ca3_ABD)  - (Spine * koffTA * camT_ca3_ABD)  - (Spine * kon * camT_ca3_ABD * ca)  + (Spine * koffTC * camT_ca4_ABCD) + (Spine * function_18(cA, cB, cD, kRT, camR_ca3_ABD)) - (Spine * function_22(kTR, cA, cB, cD, camT_ca3_ABD))  
  camT_ca3_ACD' =  (Spine * kon * camT_ca2_AC * ca) + (Spine * kon * camT_ca2_AD * ca) + (Spine * kon * camT_ca2_CD * ca) - (Spine * koffTD * camT_ca3_ACD)  - (Spine * koffTC * camT_ca3_ACD)  - (Spine * koffTA * camT_ca3_ACD)  - (Spine * kon * camT_ca3_ACD * ca)  + (Spine * koffTB * camT_ca4_ABCD) + (Spine * function_19(cA, cC, cD, kRT, camR_ca3_ACD)) - (Spine * function_23(kTR, cA, cC, cD, camT_ca3_ACD))  
  camT_ca3_BCD' =  (Spine * kon * camT_ca2_BC * ca) + (Spine * kon * camT_ca2_BD * ca) + (Spine * kon * camT_ca2_CD * ca) - (Spine * koffTD * camT_ca3_BCD)  - (Spine * koffTC * camT_ca3_BCD)  - (Spine * koffTB * camT_ca3_BCD)  - (Spine * kon * camT_ca3_BCD * ca)  + (Spine * koffTA * camT_ca4_ABCD) + (Spine * function_20(cB, cC, cD, kRT, camR_ca3_BCD)) - (Spine * function_24(kTR, cB, cC, cD, camT_ca3_BCD))  
  camT_ca4_ABCD' =  (Spine * kon * camT_ca3_ABC * ca) + (Spine * kon * camT_ca3_ABD * ca) + (Spine * kon * camT_ca3_ACD * ca) + (Spine * kon * camT_ca3_BCD * ca) - (Spine * koffTD * camT_ca4_ABCD)  - (Spine * koffTC * camT_ca4_ABCD)  - (Spine * koffTB * camT_ca4_ABCD)  - (Spine * koffTA * camT_ca4_ABCD)  + (Spine * function_25(cA, cB, cC, cD, kRT, camR_ca4_ABCD)) - (Spine * function_26(kTR, cA, cB, cC, cD, camT_ca4_ABCD))  
  CaMKII' =  - (Spine * konCaMKII * camR * CaMKII)  - (Spine * konCaMKII * camR_ca1_A * CaMKII)  - (Spine * konCaMKII * camR_ca1_B * CaMKII)  - (Spine * konCaMKII * camR_ca1_C * CaMKII)  - (Spine * konCaMKII * camR_ca1_D * CaMKII)  - (Spine * konCaMKII * camR_ca2_AB * CaMKII)  - (Spine * konCaMKII * camR_ca2_AC * CaMKII)  - (Spine * konCaMKII * camR_ca2_AD * CaMKII)  - (Spine * konCaMKII * camR_ca2_BC * CaMKII)  - (Spine * konCaMKII * camR_ca2_BD * CaMKII)  - (Spine * konCaMKII * camR_ca2_CD * CaMKII)  - (Spine * konCaMKII * camR_ca3_ABC * CaMKII)  - (Spine * konCaMKII * camR_ca3_ABD * CaMKII)  - (Spine * konCaMKII * camR_ca3_ACD * CaMKII)  - (Spine * konCaMKII * camR_ca3_BCD * CaMKII)  - (Spine * konCaMKII * camR_ca4_ABCD * CaMKII)  + (Spine * koffCaMKII * camR_CaMKII) + (Spine * koffCaMKII * camR_ca1_A_CaMKII) + (Spine * koffCaMKII * camR_ca1_B_CaMKII) + (Spine * koffCaMKII * camR_ca1_C_CaMKII) + (Spine * koffCaMKII * camR_ca1_D_CaMKII) + (Spine * koffCaMKII * camR_ca2_AB_CaMKII) + (Spine * koffCaMKII * camR_ca2_AC_CaMKII) + (Spine * koffCaMKII * camR_ca2_AD_CaMKII) + (Spine * koffCaMKII * camR_ca2_BC_CaMKII) + (Spine * koffCaMKII * camR_ca2_BD_CaMKII) + (Spine * koffCaMKII * camR_ca2_CD_CaMKII) + (Spine * koffCaMKII * camR_ca3_ABC_CaMKII) + (Spine * koffCaMKII * camR_ca3_ABD_CaMKII) + (Spine * koffCaMKII * camR_ca3_ACD_CaMKII) + (Spine * koffCaMKII * camR_ca3_BCD_CaMKII) + (Spine * koffCaMKII * camR_ca4_ABCD_CaMKII) 
  camR_CaMKII' =  (Spine * konCaMKII * camR * CaMKII) - (Spine * koffCaMKII * camR_CaMKII)  - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  - (Spine * kon * camR_CaMKII * ca)  + (Spine * koffRA * camR_ca1_A_CaMKII) + (Spine * koffRC * camR_ca1_C_CaMKII) + (Spine * koffRD * camR_ca1_D_CaMKII) + (Spine * koffRB * camR_ca1_B_CaMKII) 
  camR_ca1_A_CaMKII' =  (Spine * konCaMKII * camR_ca1_A * CaMKII) - (Spine * koffCaMKII * camR_ca1_A_CaMKII)  + (Spine * kon * camR_CaMKII * ca) - (Spine * koffRA * camR_ca1_A_CaMKII)  - (Spine * kon * camR_ca1_A_CaMKII * ca)  - (Spine * kon * camR_ca1_A_CaMKII * ca)  - (Spine * kon * camR_ca1_A_CaMKII * ca)  + (Spine * koffRB * camR_ca2_AB_CaMKII) + (Spine * koffRC * camR_ca2_AC_CaMKII) + (Spine * koffRD * camR_ca2_AD_CaMKII) 
  camR_ca1_B_CaMKII' =  (Spine * konCaMKII * camR_ca1_B * CaMKII) - (Spine * koffCaMKII * camR_ca1_B_CaMKII)  + (Spine * kon * camR_CaMKII * ca) - (Spine * kon * camR_ca1_B_CaMKII * ca)  - (Spine * kon * camR_ca1_B_CaMKII * ca)  - (Spine * kon * camR_ca1_B_CaMKII * ca)  + (Spine * koffRA * camR_ca2_AB_CaMKII) + (Spine * koffRC * camR_ca2_BC_CaMKII) + (Spine * koffRD * camR_ca2_BD_CaMKII) - (Spine * koffRB * camR_ca1_B_CaMKII)  
  camR_ca1_C_CaMKII' =  (Spine * konCaMKII * camR_ca1_C * CaMKII) - (Spine * koffCaMKII * camR_ca1_C_CaMKII)  + (Spine * kon * camR_CaMKII * ca) - (Spine * koffRC * camR_ca1_C_CaMKII)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  - (Spine * kon * camR_ca1_C_CaMKII * ca)  + (Spine * koffRA * camR_ca2_AC_CaMKII) + (Spine * koffRB * camR_ca2_BC_CaMKII) + (Spine * koffRD * camR_ca2_CD_CaMKII) 
  camR_ca1_D_CaMKII' =  (Spine * konCaMKII * camR_ca1_D * CaMKII) - (Spine * koffCaMKII * camR_ca1_D_CaMKII)  + (Spine * kon * camR_CaMKII * ca) - (Spine * koffRD * camR_ca1_D_CaMKII)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  - (Spine * kon * camR_ca1_D_CaMKII * ca)  + (Spine * koffRA * camR_ca2_AD_CaMKII) + (Spine * koffRB * camR_ca2_BD_CaMKII) + (Spine * koffRC * camR_ca2_CD_CaMKII) 
  camR_ca2_AB_CaMKII' =  (Spine * konCaMKII * camR_ca2_AB * CaMKII) - (Spine * koffCaMKII * camR_ca2_AB_CaMKII)  + (Spine * kon * camR_ca1_A_CaMKII * ca) + (Spine * kon * camR_ca1_B_CaMKII * ca) - (Spine * koffRA * camR_ca2_AB_CaMKII)  - (Spine * koffRB * camR_ca2_AB_CaMKII)  - (Spine * kon * camR_ca2_AB_CaMKII * ca)  - (Spine * kon * camR_ca2_AB_CaMKII * ca)  + (Spine * koffRC * camR_ca3_ABC_CaMKII) + (Spine * koffRD * camR_ca3_ABD_CaMKII) 
  camR_ca2_AC_CaMKII' =  (Spine * konCaMKII * camR_ca2_AC * CaMKII) - (Spine * koffCaMKII * camR_ca2_AC_CaMKII)  + (Spine * kon * camR_ca1_A_CaMKII * ca) + (Spine * kon * camR_ca1_C_CaMKII * ca) - (Spine * koffRA * camR_ca2_AC_CaMKII)  - (Spine * koffRC * camR_ca2_AC_CaMKII)  - (Spine * kon * camR_ca2_AC_CaMKII * ca)  - (Spine * kon * camR_ca2_AC_CaMKII * ca)  + (Spine * koffRB * camR_ca3_ABC_CaMKII) + (Spine * koffRD * camR_ca3_ACD_CaMKII) 
  camR_ca2_AD_CaMKII' =  (Spine * konCaMKII * camR_ca2_AD * CaMKII) - (Spine * koffCaMKII * camR_ca2_AD_CaMKII)  + (Spine * kon * camR_ca1_A_CaMKII * ca) + (Spine * kon * camR_ca1_D_CaMKII * ca) - (Spine * koffRA * camR_ca2_AD_CaMKII)  - (Spine * koffRD * camR_ca2_AD_CaMKII)  - (Spine * kon * camR_ca2_AD_CaMKII * ca)  - (Spine * kon * camR_ca2_AD_CaMKII * ca)  + (Spine * koffRB * camR_ca3_ABD_CaMKII) + (Spine * koffRC * camR_ca3_ACD_CaMKII) 
  camR_ca2_BC_CaMKII' =  (Spine * konCaMKII * camR_ca2_BC * CaMKII) - (Spine * koffCaMKII * camR_ca2_BC_CaMKII)  + (Spine * kon * camR_ca1_B_CaMKII * ca) + (Spine * kon * camR_ca1_C_CaMKII * ca) - (Spine * koffRB * camR_ca2_BC_CaMKII)  - (Spine * koffRC * camR_ca2_BC_CaMKII)  - (Spine * kon * camR_ca2_BC_CaMKII * ca)  - (Spine * kon * camR_ca2_BC_CaMKII * ca)  + (Spine * koffRA * camR_ca3_ABC_CaMKII) + (Spine * koffRD * camR_ca3_BCD_CaMKII) 
  camR_ca2_BD_CaMKII' =  (Spine * konCaMKII * camR_ca2_BD * CaMKII) - (Spine * koffCaMKII * camR_ca2_BD_CaMKII)  + (Spine * kon * camR_ca1_B_CaMKII * ca) + (Spine * kon * camR_ca1_D_CaMKII * ca) - (Spine * koffRB * camR_ca2_BD_CaMKII)  - (Spine * koffRD * camR_ca2_BD_CaMKII)  - (Spine * kon * camR_ca2_BD_CaMKII * ca)  - (Spine * kon * camR_ca2_BD_CaMKII * ca)  + (Spine * koffRA * camR_ca3_ABD_CaMKII) + (Spine * koffRC * camR_ca3_BCD_CaMKII) 
  camR_ca2_CD_CaMKII' =  (Spine * konCaMKII * camR_ca2_CD * CaMKII) - (Spine * koffCaMKII * camR_ca2_CD_CaMKII)  + (Spine * kon * camR_ca1_C_CaMKII * ca) + (Spine * kon * camR_ca1_D_CaMKII * ca) - (Spine * koffRC * camR_ca2_CD_CaMKII)  - (Spine * koffRD * camR_ca2_CD_CaMKII)  - (Spine * kon * camR_ca2_CD_CaMKII * ca)  - (Spine * kon * camR_ca2_CD_CaMKII * ca)  + (Spine * koffRA * camR_ca3_ACD_CaMKII) + (Spine * koffRB * camR_ca3_BCD_CaMKII) 
  camR_ca3_ABC_CaMKII' =  (Spine * konCaMKII * camR_ca3_ABC * CaMKII) - (Spine * koffCaMKII * camR_ca3_ABC_CaMKII)  + (Spine * kon * camR_ca2_AB_CaMKII * ca) + (Spine * kon * camR_ca2_AC_CaMKII * ca) + (Spine * kon * camR_ca2_BC_CaMKII * ca) - (Spine * koffRC * camR_ca3_ABC_CaMKII)  - (Spine * koffRB * camR_ca3_ABC_CaMKII)  - (Spine * koffRA * camR_ca3_ABC_CaMKII)  - (Spine * kon * camR_ca3_ABC_CaMKII * ca)  + (Spine * koffRD * camR_ca4_ABCD_CaMKII) 
  camR_ca3_ABD_CaMKII' =  (Spine * konCaMKII * camR_ca3_ABD * CaMKII) - (Spine * koffCaMKII * camR_ca3_ABD_CaMKII)  + (Spine * kon * camR_ca2_AB_CaMKII * ca) + (Spine * kon * camR_ca2_AD_CaMKII * ca) + (Spine * kon * camR_ca2_BD_CaMKII * ca) - (Spine * koffRD * camR_ca3_ABD_CaMKII)  - (Spine * koffRB * camR_ca3_ABD_CaMKII)  - (Spine * koffRA * camR_ca3_ABD_CaMKII)  - (Spine * kon * camR_ca3_ABD_CaMKII * ca)  + (Spine * koffRC * camR_ca4_ABCD_CaMKII) 
  camR_ca3_ACD_CaMKII' =  (Spine * konCaMKII * camR_ca3_ACD * CaMKII) - (Spine * koffCaMKII * camR_ca3_ACD_CaMKII)  + (Spine * kon * camR_ca2_AC_CaMKII * ca) + (Spine * kon * camR_ca2_AD_CaMKII * ca) + (Spine * kon * camR_ca2_CD_CaMKII * ca) - (Spine * koffRD * camR_ca3_ACD_CaMKII)  - (Spine * koffRC * camR_ca3_ACD_CaMKII)  - (Spine * koffRA * camR_ca3_ACD_CaMKII)  - (Spine * kon * camR_ca3_ACD_CaMKII * ca)  + (Spine * koffRB * camR_ca4_ABCD_CaMKII) 
  camR_ca3_BCD_CaMKII' =  (Spine * konCaMKII * camR_ca3_BCD * CaMKII) - (Spine * koffCaMKII * camR_ca3_BCD_CaMKII)  + (Spine * kon * camR_ca2_BC_CaMKII * ca) + (Spine * kon * camR_ca2_BD_CaMKII * ca) + (Spine * kon * camR_ca2_CD_CaMKII * ca) - (Spine * koffRD * camR_ca3_BCD_CaMKII)  - (Spine * koffRC * camR_ca3_BCD_CaMKII)  - (Spine * koffRB * camR_ca3_BCD_CaMKII)  - (Spine * kon * camR_ca3_BCD_CaMKII * ca)  + (Spine * koffRA * camR_ca4_ABCD_CaMKII) 
  camR_ca4_ABCD_CaMKII' =  (Spine * konCaMKII * camR_ca4_ABCD * CaMKII) - (Spine * koffCaMKII * camR_ca4_ABCD_CaMKII)  + (Spine * kon * camR_ca3_BCD_CaMKII * ca) + (Spine * kon * camR_ca3_ACD_CaMKII * ca) + (Spine * kon * camR_ca3_ABD_CaMKII * ca) + (Spine * kon * camR_ca3_ABC_CaMKII * ca) - (Spine * koffRA * camR_ca4_ABCD_CaMKII)  - (Spine * koffRB * camR_ca4_ABCD_CaMKII)  - (Spine * koffRC * camR_ca4_ABCD_CaMKII)  - (Spine * koffRD * camR_ca4_ABCD_CaMKII)  
  PP2B' =  - (Spine * konPP2B * camR * PP2B)  - (Spine * konPP2B * camR_ca1_A * PP2B)  - (Spine * konPP2B * camR_ca1_B * PP2B)  - (Spine * konPP2B * camR_ca1_C * PP2B)  - (Spine * konPP2B * camR_ca1_D * PP2B)  - (Spine * konPP2B * camR_ca2_AB * PP2B)  - (Spine * konPP2B * camR_ca2_AC * PP2B)  - (Spine * konPP2B * camR_ca2_AD * PP2B)  - (Spine * konPP2B * camR_ca2_BC * PP2B)  - (Spine * konPP2B * camR_ca2_BD * PP2B)  - (Spine * konPP2B * camR_ca2_CD * PP2B)  - (Spine * konPP2B * camR_ca3_ABC * PP2B)  - (Spine * konPP2B * camR_ca3_ABD * PP2B)  - (Spine * konPP2B * camR_ca3_ACD * PP2B)  - (Spine * konPP2B * camR_ca3_BCD * PP2B)  - (Spine * konPP2B * camR_ca4_ABCD * PP2B)  + (Spine * koffPP2B * camR_PP2B) + (Spine * koffPP2B * camR_ca1_A_PP2B) + (Spine * koffPP2B * camR_ca1_B_PP2B) + (Spine * koffPP2B * camR_ca1_C_PP2B) + (Spine * koffPP2B * camR_ca1_D_PP2B) + (Spine * koffPP2B * camR_ca2_AB_PP2B) + (Spine * koffPP2B * camR_ca2_AC_PP2B) + (Spine * koffPP2B * camR_ca2_AD_PP2B) + (Spine * koffPP2B * camR_ca2_BC_PP2B) + (Spine * koffPP2B * camR_ca2_BD_PP2B) + (Spine * koffPP2B * camR_ca2_CD_PP2B) + (Spine * koffPP2B * camR_ca3_ABC_PP2B) + (Spine * koffPP2B * camR_ca3_ABD_PP2B) + (Spine * koffPP2B * camR_ca3_ACD_PP2B) + (Spine * koffPP2B * camR_ca3_BCD_PP2B) + (Spine * koffPP2B * camR_ca4_ABCD_PP2B) 
  camR_PP2B' =  (Spine * konPP2B * camR * PP2B) - (Spine * koffPP2B * camR_PP2B)  - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  - (Spine * kon * camR_PP2B * ca)  + (Spine * koffRA * camR_ca1_A_PP2B) + (Spine * koffRB * camR_ca1_B_PP2B) + (Spine * koffRC * camR_ca1_C_PP2B) + (Spine * koffRD * camR_ca1_D_PP2B) 
  camR_ca1_A_PP2B' =  (Spine * konPP2B * camR_ca1_A * PP2B) - (Spine * koffPP2B * camR_ca1_A_PP2B)  + (Spine * kon * camR_PP2B * ca) - (Spine * koffRA * camR_ca1_A_PP2B)  - (Spine * kon * camR_ca1_A_PP2B * ca)  - (Spine * kon * camR_ca1_A_PP2B * ca)  - (Spine * kon * camR_ca1_A_PP2B * ca)  + (Spine * koffRB * camR_ca2_AB_PP2B) + (Spine * koffRC * camR_ca2_AC_PP2B) + (Spine * koffRD * camR_ca2_AD_PP2B) 
  camR_ca1_B_PP2B' =  (Spine * konPP2B * camR_ca1_B * PP2B) - (Spine * koffPP2B * camR_ca1_B_PP2B)  + (Spine * kon * camR_PP2B * ca) - (Spine * koffRB * camR_ca1_B_PP2B)  - (Spine * kon * camR_ca1_B_PP2B * ca)  - (Spine * kon * camR_ca1_B_PP2B * ca)  - (Spine * kon * camR_ca1_B_PP2B * ca)  + (Spine * koffRA * camR_ca2_AB_PP2B) + (Spine * koffRC * camR_ca2_BC_PP2B) + (Spine * koffRD * camR_ca2_BD_PP2B) 
  camR_ca1_C_PP2B' =  (Spine * konPP2B * camR_ca1_C * PP2B) - (Spine * koffPP2B * camR_ca1_C_PP2B)  + (Spine * kon * camR_PP2B * ca) - (Spine * koffRC * camR_ca1_C_PP2B)  - (Spine * kon * camR_ca1_C_PP2B * ca)  - (Spine * kon * camR_ca1_C_PP2B * ca)  - (Spine * kon * camR_ca1_C_PP2B * ca)  + (Spine * koffRA * camR_ca2_AC_PP2B) + (Spine * koffRB * camR_ca2_BC_PP2B) + (Spine * koffRD * camR_ca2_CD_PP2B) 
  camR_ca1_D_PP2B' =  (Spine * konPP2B * camR_ca1_D * PP2B) - (Spine * koffPP2B * camR_ca1_D_PP2B)  + (Spine * kon * camR_PP2B * ca) - (Spine * koffRD * camR_ca1_D_PP2B)  - (Spine * kon * camR_ca1_D_PP2B * ca)  - (Spine * kon * camR_ca1_D_PP2B * ca)  - (Spine * kon * camR_ca1_D_PP2B * ca)  + (Spine * koffRA * camR_ca2_AD_PP2B) + (Spine * koffRB * camR_ca2_BD_PP2B) + (Spine * koffRC * camR_ca2_CD_PP2B) 
  camR_ca2_AB_PP2B' =  (Spine * konPP2B * camR_ca2_AB * PP2B) - (Spine * koffPP2B * camR_ca2_AB_PP2B)  + (Spine * kon * camR_ca1_A_PP2B * ca) + (Spine * kon * camR_ca1_B_PP2B * ca) - (Spine * koffRA * camR_ca2_AB_PP2B)  - (Spine * koffRB * camR_ca2_AB_PP2B)  - (Spine * kon * camR_ca2_AB_PP2B * ca)  - (Spine * kon * camR_ca2_AB_PP2B * ca)  + (Spine * koffRC * camR_ca3_ABC_PP2B) + (Spine * koffRD * camR_ca3_ABD_PP2B) 
  camR_ca2_AC_PP2B' =  (Spine * konPP2B * camR_ca2_AC * PP2B) - (Spine * koffPP2B * camR_ca2_AC_PP2B)  + (Spine * kon * camR_ca1_A_PP2B * ca) + (Spine * kon * camR_ca1_C_PP2B * ca) - (Spine * koffRA * camR_ca2_AC_PP2B)  - (Spine * koffRC * camR_ca2_AC_PP2B)  - (Spine * kon * camR_ca2_AC_PP2B * ca)  - (Spine * kon * camR_ca2_AC_PP2B * ca)  + (Spine * koffRB * camR_ca3_ABC_PP2B) + (Spine * koffRD * camR_ca3_ACD_PP2B) 
  camR_ca2_AD_PP2B' =  (Spine * konPP2B * camR_ca2_AD * PP2B) - (Spine * koffPP2B * camR_ca2_AD_PP2B)  + (Spine * kon * camR_ca1_A_PP2B * ca) + (Spine * kon * camR_ca1_D_PP2B * ca) - (Spine * koffRA * camR_ca2_AD_PP2B)  - (Spine * koffRD * camR_ca2_AD_PP2B)  - (Spine * kon * camR_ca2_AD_PP2B * ca)  - (Spine * kon * camR_ca2_AD_PP2B * ca)  + (Spine * koffRB * camR_ca3_ABD_PP2B) + (Spine * koffRC * camR_ca3_ACD_PP2B) 
  camR_ca2_BC_PP2B' =  (Spine * konPP2B * camR_ca2_BC * PP2B) - (Spine * koffPP2B * camR_ca2_BC_PP2B)  + (Spine * kon * camR_ca1_B_PP2B * ca) + (Spine * kon * camR_ca1_C_PP2B * ca) - (Spine * koffRB * camR_ca2_BC_PP2B)  - (Spine * koffRC * camR_ca2_BC_PP2B)  - (Spine * kon * camR_ca2_BC_PP2B * ca)  - (Spine * kon * camR_ca2_BC_PP2B * ca)  + (Spine * koffRA * camR_ca3_ABC_PP2B) + (Spine * koffRD * camR_ca3_BCD_PP2B) 
  camR_ca2_BD_PP2B' =  (Spine * konPP2B * camR_ca2_BD * PP2B) - (Spine * koffPP2B * camR_ca2_BD_PP2B)  + (Spine * kon * camR_ca1_B_PP2B * ca) + (Spine * kon * camR_ca1_D_PP2B * ca) - (Spine * koffRB * camR_ca2_BD_PP2B)  - (Spine * koffRD * camR_ca2_BD_PP2B)  - (Spine * kon * camR_ca2_BD_PP2B * ca)  - (Spine * kon * camR_ca2_BD_PP2B * ca)  + (Spine * koffRA * camR_ca3_ABD_PP2B) + (Spine * koffRC * camR_ca3_BCD_PP2B) 
  camR_ca2_CD_PP2B' =  (Spine * konPP2B * camR_ca2_CD * PP2B) - (Spine * koffPP2B * camR_ca2_CD_PP2B)  + (Spine * kon * camR_ca1_C_PP2B * ca) + (Spine * kon * camR_ca1_D_PP2B * ca) - (Spine * koffRC * camR_ca2_CD_PP2B)  - (Spine * koffRD * camR_ca2_CD_PP2B)  - (Spine * kon * camR_ca2_CD_PP2B * ca)  - (Spine * kon * camR_ca2_CD_PP2B * ca)  + (Spine * koffRA * camR_ca3_ACD_PP2B) + (Spine * koffRB * camR_ca3_BCD_PP2B) 
  camR_ca3_ABC_PP2B' =  (Spine * konPP2B * camR_ca3_ABC * PP2B) - (Spine * koffPP2B * camR_ca3_ABC_PP2B)  + (Spine * kon * camR_ca2_AB_PP2B * ca) + (Spine * kon * camR_ca2_AC_PP2B * ca) + (Spine * kon * camR_ca2_BC_PP2B * ca) - (Spine * koffRA * camR_ca3_ABC_PP2B)  - (Spine * koffRB * camR_ca3_ABC_PP2B)  - (Spine * koffRC * camR_ca3_ABC_PP2B)  - (Spine * kon * camR_ca3_ABC_PP2B * ca)  + (Spine * koffRD * camR_ca4_ABCD_PP2B) 
  camR_ca3_ABD_PP2B' =  (Spine * konPP2B * camR_ca3_ABD * PP2B) - (Spine * koffPP2B * camR_ca3_ABD_PP2B)  + (Spine * kon * camR_ca2_AB_PP2B * ca) + (Spine * kon * camR_ca2_AD_PP2B * ca) + (Spine * kon * camR_ca2_BD_PP2B * ca) - (Spine * koffRA * camR_ca3_ABD_PP2B)  - (Spine * koffRB * camR_ca3_ABD_PP2B)  - (Spine * koffRD * camR_ca3_ABD_PP2B)  - (Spine * kon * camR_ca3_ABD_PP2B * ca)  + (Spine * koffRC * camR_ca4_ABCD_PP2B) 
  camR_ca3_ACD_PP2B' =  (Spine * konPP2B * camR_ca3_ACD * PP2B) - (Spine * koffPP2B * camR_ca3_ACD_PP2B)  + (Spine * kon * camR_ca2_AC_PP2B * ca) + (Spine * kon * camR_ca2_AD_PP2B * ca) + (Spine * kon * camR_ca2_CD_PP2B * ca) - (Spine * koffRA * camR_ca3_ACD_PP2B)  - (Spine * koffRC * camR_ca3_ACD_PP2B)  - (Spine * koffRD * camR_ca3_ACD_PP2B)  - (Spine * kon * camR_ca3_ACD_PP2B * ca)  + (Spine * koffRB * camR_ca4_ABCD_PP2B) 
  camR_ca3_BCD_PP2B' =  (Spine * konPP2B * camR_ca3_BCD * PP2B) - (Spine * koffPP2B * camR_ca3_BCD_PP2B)  + (Spine * kon * camR_ca2_BC_PP2B * ca) + (Spine * kon * camR_ca2_BD_PP2B * ca) + (Spine * kon * camR_ca2_CD_PP2B * ca) - (Spine * koffRB * camR_ca3_BCD_PP2B)  - (Spine * koffRC * camR_ca3_BCD_PP2B)  - (Spine * koffRD * camR_ca3_BCD_PP2B)  - (Spine * kon * camR_ca3_BCD_PP2B * ca)  + (Spine * koffRA * camR_ca4_ABCD_PP2B) 
  camR_ca4_ABCD_PP2B' =  (Spine * konPP2B * camR_ca4_ABCD * PP2B) - (Spine * koffPP2B * camR_ca4_ABCD_PP2B)  + (Spine * kon * camR_ca3_ABC_PP2B * ca) + (Spine * kon * camR_ca3_ABD_PP2B * ca) + (Spine * kon * camR_ca3_ACD_PP2B * ca) + (Spine * kon * camR_ca3_BCD_PP2B * ca) - (Spine * koffRA * camR_ca4_ABCD_PP2B)  - (Spine * koffRB * camR_ca4_ABCD_PP2B)  - (Spine * koffRC * camR_ca4_ABCD_PP2B)  - (Spine * koffRD * camR_ca4_ABCD_PP2B)  
}

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