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Neuronal dendrite calcium wave model (Neymotin et al, 2015)
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"... We developed a reaction-diffusion model of an apical dendrite with diffusible inositol triphosphate (IP3 ), diffusible Ca2+, IP3 receptors (IP3 Rs), endoplasmic reticulum (ER) Ca2+ leak, and ER pump (SERCA) on ER. ... At least two modes of Ca2+ wave spread have been suggested: a continuous mode based on presumed relative homogeneity of ER within the cell; and a pseudo-saltatory model where Ca2+ regeneration occurs at discrete points with diffusion between them. We compared the effects of three patterns of hypothesized IP3 R distribution: 1. continuous homogeneous ER, 2. hotspots with increased IP3R density (IP3 R hotspots), 3. areas of increased ER density (ER stacks). All three modes produced Ca2+ waves with velocities similar to those measured in vitro (~50 - 90µm /sec). ... The measures were sensitive to changes in density and spacing of IP3 R hotspots and stacks. ... An extended electrochemical model, including voltage gated calcium channels and AMPA synapses, demonstrated that membrane priming via AMPA stimulation enhances subsequent Ca2+ wave amplitude and duration. Our modeling suggests that pharmacological targeting of IP3 Rs and SERCA could allow modulation of Ca2+ wave propagation in diseases where Ca2+ dysregulation has been implicated. "
Neymotin SA, McDougal RA, Sherif MA, Fall CP, Hines ML, Lytton WW (2015) Neuronal calcium wave propagation varies with changes in endoplasmic reticulum parameters: a computer model.
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Hippocampus CA1 pyramidal GLU cell;
Hippocampus CA3 pyramidal GLU cell;
Neocortex V1 L6 pyramidal corticothalamic GLU cell;
Neocortex V1 L2/6 pyramidal intratelencephalic GLU cell;
I T low threshold;
Neymotin, Sam [samn at neurosim.downstate.edu];
McDougal, Robert [robert.mcdougal at yale.edu];
Sherif, Mohamed [mohamed.sherif.md at gmail.com];
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Hippocampus CA1 pyramidal GLU cell
Hippocampus CA3 pyramidal GLU cell
Neocortex V1 L6 pyramidal corticothalamic GLU cell
Neocortex V1 L2/6 pyramidal intratelencephalic GLU cell
I T low threshold
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Fig 11 AMPA 0
Fig 11 AMPA 150