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A statistical view on calcium oscillations

Powell, Jake; Falcke, Martin; Skupin, Alexander; Bellamy, Tomas; Kypraios, Theodore; Thul, R�diger

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Jake Powell

Martin Falcke

Alexander Skupin


Transient rises and falls of the intracellular calcium concentration have been observed in numerous cell types and under a plethora of conditions. There is now a growing body of evidence that these whole-cell calcium oscillations are stochastic, which poses a significant challenge for modelling. In this review, we take a closer look at recently developed statistical approaches to calcium oscillations. These models describe the timing of whole-cell calcium spikes, yet their parametrisations reflect subcellular processes. We show how non-stationary calcium spike sequences, which e.g. occur during slow depletion of intracellular calcium stores or in the presence of time-dependent stimulation, can be analysed with the help of so-called intensity functions. By utilising Bayesian concepts, we demonstrate how values of key parameters of the statistical model can be inferred from single cell calcium spike sequences and illustrate what information whole-cell statistical models can provide about the subcellular mechanistic processes that drive calcium oscillations. In particular, we find that the interspike interval distribution of HEK293 cells under constant stimulation is captured by a Gamma distribution.

Journal Article Type Article
Acceptance Date Aug 6, 2018
Online Publication Date Oct 24, 2019
Publication Date Oct 24, 2019
Deposit Date Aug 24, 2018
Publicly Available Date Oct 25, 2020
Journal Advances in Experimental Medicine and Biology
Electronic ISSN 0065-2598
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 1131
Pages 799-826
Public URL
Publisher URL
Additional Information This is a post-peer-review, pre-copyedit version of an article published in Advances in Experimental Medicine and Biology. The final authenticated version is available online at:

Powell J., Falcke M., Skupin A., Bellamy T.C., Kypraios T., Thul R. (2020) A Statistical View on Calcium Oscillations. In: Islam M. (eds) Calcium Signaling. Advances in Experimental Medicine and Biology, vol 1131. Springer, Cham


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