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On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling

Falcke, Martin; Moein, Mahsa; Tilunaite, Agne; Thul, Ruediger; Skupin, Alexander

Authors

Martin Falcke

Mahsa Moein

Agne Tilunaite

Ruediger Thul ruediger.thul@nottingham.ac.uk

Alexander Skupin



Abstract

The correspondence between mathematical structures and experimental systems is the basis of the generalizability of results found with specific systems, and is the basis of the predictive power of theoretical physics. While physicists have confidence in this correspondence, it is less recognized in cellular biophysics. On the one hand, the complex organization of cellular dynamics involving a plethora of interacting molecules and the basic observation of cell variability seem to question its possibility. The practical difficulties of deriving the equations describing cellular behaviour from first principles support these doubts. On the other hand, ignoring such a correspondence would severely limit the possibility of predictive quantitative theory in biophysics. Additionally, the existence of functional modules (like pathways) across cell types suggests also the existence of mathematical structures with comparable universality. Only a few cellular systems have been sufficiently investigated in a variety of cell types to follow up these basic questions. IP3 induced Ca2+ signalling is one of them, and the mathematical structure corresponding to it is subject of ongoing discussion. We review the system’s general properties observed in a variety of cell types. They are captured by a reaction diffusion system. We discuss the phase space structure of its local dynamics. The spiking regime corresponds to noisy excitability. Models focussing on different aspects can be derived starting from this phase space structure. We discuss how the initial assumptions on the set of stochastic variables and phase space structure shape the predictions of parameter dependencies of the mathematical models resulting from the derivation.

Journal Article Type Article
Publication Date Apr 13, 2018
Journal Chaos
Print ISSN 1054-1500
Electronic ISSN 1054-1500
Publisher AIP Publishing
Peer Reviewed Peer Reviewed
Volume 28
Issue 4
Article Number 045115
APA6 Citation Falcke, M., Moein, M., Tilunaite, A., Thul, R., & Skupin, A. (2018). On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling. Chaos, 28(4), https://doi.org/10.1063/1.5021073
DOI https://doi.org/10.1063/1.5021073
Publisher URL https://aip.scitation.org/doi/10.1063/1.5021073
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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