Minimal model of calcium dynamics in two heterogeneous coupled cells
dc.contributor.author | Kenny A | |
dc.contributor.author | Plank MJ | |
dc.contributor.author | David T | |
dc.date.accessioned | 2020-01-05T20:45:58Z | |
dc.date.available | 2020-01-05T20:45:58Z | |
dc.date.issued | 2019 | en |
dc.date.updated | 2019-10-23T21:15:06Z | |
dc.description.abstract | © 2018 Elsevier B.V. Intercellular calcium (Ca2+) waves are an important signalling mechanism in a wide variety of cells within the body, crucial for cellular coordination and control. In order to investigate calcium dynamics in coupled cells, a minimal model describing intracellular Ca2+ dynamics in a single cell is extended to describe two adjacent cells coupled by a flux of Ca2+ via gap junctions. The Ca2+ dynamics of the single cell system are either excitable, nonexcitable or oscillatory, depending on the strength of external stimulus to the inositol trisphosphate (IP3) dependent Ca2+ release pathway. We investigate how the stability and asymptotic dynamics of a system of two heterogeneous cells depend on the single-cell dynamics and the coupling strength. We show analytically that, in the case of very strong coupling, the asymptotic dynamics are the same as in a single cell whose IP3 stimulus strength is the average of the two coupled cells. In cases where one or both cells have an unstable steady state when uncoupled, coupling causes a qualitative change in behaviour. This can include amplitude-modulated oscillations, mixed mode oscillations, and the coalescence of multiple frequencies as the cells eventually become synchronised. | en |
dc.identifier.citation | Kenny A, Plank MJ, David T (2019). Minimal model of calcium dynamics in two heterogeneous coupled cells. Neurocomputing. Volume 323, 5 January 2019, Pages 128-138 | en |
dc.identifier.doi | https://doi.org/10.1016/j.neucom.2018.09.074 | |
dc.identifier.issn | 0925-2312 | |
dc.identifier.issn | 1872-8286 | |
dc.identifier.uri | http://hdl.handle.net/10092/17802 | |
dc.language | English | |
dc.language.iso | en | |
dc.publisher | Elsevier BV | en |
dc.rights | Creative Commons Attribution Non-Commercial No Derivatives License | en |
dc.subject | Calcium-induced calcium release | en |
dc.subject | Coupled oscillator | en |
dc.subject | Gap junctions | en |
dc.subject | Intercellular signalling | en |
dc.subject.anzsrc | Fields of Research::49 - Mathematical sciences::4901 - Applied mathematics::490102 - Biological mathematics | en |
dc.title | Minimal model of calcium dynamics in two heterogeneous coupled cells | en |
dc.type | Journal Article | en |
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