Respiratory control model with brainstem CPG and sensory feedback (Diekman, Thomas, and Wilson 2017)

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Accession:229640
This is a closed-loop respiratory control model incorporating a central pattern generator (CPG), the Butera-Rinzel-Smith (BRS) model, together with lung mechanics, oxygen handling, and chemosensory components. The closed-loop system exhibits bistability of bursting and tonic spiking. Bursting corresponds to coexistence of eupnea-like breathing, with normal minute ventilation and blood oxygen level. Tonic spiking corresponds to a tachypnea-like state, with pathologically reduced minute ventilation and critically low blood oxygen. In our paper, we use the closed-loop system to demonstrate robustness to changes in metabolic demand, spontaneous autoresuscitation in response to hypoxia, and the distinct mechanisms that underlie rhythmogenesis in the intact control circuit vs. the isolated, open-loop CPG.
Reference:
1 . Diekman CO, Thomas PJ, Wilson CG (2017) Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. J Neurophysiol 118:2194-2215 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism: Brainstem;
Cell Type(s): Respiratory column neuron; PreBotzinger complex neuron;
Channel(s): I Na,p; I Na,t; I K;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: MATLAB; XPP;
Model Concept(s): Pacemaking mechanism; Respiratory control;
Implementer(s): Diekman, Casey O. [casey.o.diekman at njit.edu];
Search NeuronDB for information about:  I Na,p; I Na,t; I K;
% Script to reproduce Figure 9
% calls 'closedloop.m' which contains the differential equations   
% initsA lead to tachypnea, initsB lead to eupnea

clear all

%% Initial conditions [V n h alpha vollung PO2lung PO2blood]

initsA = [-50.05986089 0.005140176 0.501330626 0.00094653 2.202113749 76.25930796 75.6];
initsB = [-49.69950791 0.005616305 0.528659973 0.000510575 2.126659684 78.26663183 78.1];

options = odeset('RelTol',1e-10,'AbsTol',1e-10);

[tA,uA] = ode15s('closedloop',[0 420000],initsA,options);

[t1,u1] = ode15s('closedloop',[0 180000],initsB,options);

inits2 = u1(end,:);
inits2(end) = 40;

[t2,u2] = ode15s('closedloop',[180000 360000],inits2,options);

inits3 = u2(end,:);
inits3(end) = 30;

[t3,u3] = ode15s('closedloop',[360000 420000],inits3,options);

tB = [t1; t2; t3];
uB = [u1; u2; u3];

vA=uA(:,1);
vB=uB(:,1);

PO2bloodA = uA(:,7);
PO2bloodB = uB(:,7);

%% Make plot

close('all')

set(0,'DefaultAxesFontSize',24)

lw=2;

figure(1)
plot(tA/1000,tA*0+76.845,'k--','Linewidth',lw)
hold on
plot(tA/1000,PO2bloodA,'r','Linewidth',lw)
plot(tB/1000,PO2bloodB,'b','Linewidth',lw)
xlabel('$t (s)$','Interpreter','latex')
ylabel('$P_\mathrm{a}\mathrm{O}_2$','Interpreter','latex')
set(gca,'box','off','XTick',0:60:420)
xlim([0 420])






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