Poznanski, R.R. (2010) Analytical solution of reaction-diffusion equations for calcium wave propagation in a starburst amacrine cell. Journal of Integrative Neuroscience, 9 (3). pp. 283-297.
Full text not available from this repository.Abstract
A reaction-diffusion model is presented to encapsulate calcium-induced calcium release (CICR) as a potential mechanism for somatofugal bias of dendritic calcium movement in starburst amacrine cells. Calcium dynamics involves a simple calcium extrusion (pump) and a buffering mechanism of calcium binding proteins homogeneously distributed over the plasma membrane of the endoplasmic reticulum within starburst amacrine cells. The system of reaction-diffusion equations in the excess buffer (or low calcium concentration) approximation are reformulated as a nonlinear Volterra integral equation which is solved analytically via a regular perturbation series expansion in response to calcium feedback from a continuously and uniformly distributed calcium sources. Calculation of luminal calcium diffusion in the absence of buffering enables a wave to travel at distances of 120 mu m from the soma to distal tips of a starburst amacrine cell dendrite in 100 msec, yet in the presence of discretely distributed calcium-binding proteins it is unknown whether the propagating calcium wave-front in the somatofugal direction is further impeded by endogenous buffers. If so, this would indicate CICR to be an unlikely mechanism of retinal direction selectivity in starburst amacrine cells.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Buffer; calcium; starburst amacrine cells; directional selectivity; retina; reaction-diffusion equations; CICR-based Ca(2+) waves; fire-diffuse-fire model; endoplasmic reticulum; lumen; diffusion speed |
| Subjects: | R Medicine |
| Depositing User: | Mr Faizal 2 |
| Date Deposited: | 29 Jan 2015 02:56 |
| Last Modified: | 29 Jan 2015 02:56 |
| URI: | http://eprints.um.edu.my/id/eprint/12466 |
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