PMID- 37981761 OWN - NLM STAT- MEDLINE DCOM- 20231222 LR - 20240331 IS - 1542-0086 (Electronic) IS - 0006-3495 (Print) IS - 0006-3495 (Linking) VI - 122 IP - 24 DP - 2023 Dec 19 TI - An integrate-and-fire approach to Ca(2+) signaling. Part II: Cumulative refractoriness. PG - 4710-4729 LID - S0006-3495(23)00715-4 [pii] LID - 10.1016/j.bpj.2023.11.015 [doi] AB - Inositol 1,4,5-trisphosphate-induced Ca(2+) signaling is a second messenger system used by almost all eukaryotic cells. The agonist concentration stimulating Ca(2+) signals is encoded in the frequency of a Ca(2+) concentration spike sequence. When a cell is stimulated, the interspike intervals (ISIs) often show a distinct transient during which they gradually increase, a system property we refer to as cumulative refractoriness. We extend a previously published stochastic model to include the Ca(2+) concentration in the intracellular Ca(2+) store as a slow adaptation variable. This model can reproduce both stationary and transient statistics of experimentally observed ISI sequences. We derive approximate expressions for the mean and coefficient of variation of the stationary ISIs. We also consider the response to the onset of a constant stimulus and estimate the length of the transient and the strength of the adaptation of the ISI. We show that the adaptation sets the coefficient of variation in agreement with current ideas derived from experiments. Moreover, we explain why, despite a pronounced transient behavior, ISI correlations can be weak, as often observed in experiments. Finally, we fit our model to reproduce the transient statistics of experimentally observed ISI sequences in stimulated HEK cells. The fitted model is able to qualitatively reproduce the relationship between the stationary interval correlations and the number of transient intervals, as well as the strength of the ISI adaptation. We also find positive correlations in the experimental sequence that cannot be explained by our model. CI - Copyright (c) 2023 Biophysical Society. Published by Elsevier Inc. All rights reserved. FAU - Ramlow, Lukas AU - Ramlow L AD - Bernstein Center for Computational Neuroscience Berlin, Berlin, Germany; Department of Physics, Humboldt University Berlin, Berlin, Germany; Max Delbruck Center for Molecular Medicine, Berlin, Germany. FAU - Falcke, Martin AU - Falcke M AD - Department of Physics, Humboldt University Berlin, Berlin, Germany; Max Delbruck Center for Molecular Medicine, Berlin, Germany. Electronic address: martin.falcke@mdc-berlin.de. FAU - Lindner, Benjamin AU - Lindner B AD - Bernstein Center for Computational Neuroscience Berlin, Berlin, Germany; Department of Physics, Humboldt University Berlin, Berlin, Germany. LA - eng PT - Journal Article DEP - 20231119 PL - United States TA - Biophys J JT - Biophysical journal JID - 0370626 SB - IM MH - *Neurons/physiology MH - *Models, Neurological MH - Signal Transduction MH - Action Potentials/physiology PMC - PMC10754692 COIS- Declaration of interests The authors declare no competing interests. EDAT- 2023/11/20 06:54 MHDA- 2023/12/22 06:42 PMCR- 2024/12/19 CRDT- 2023/11/20 03:56 PHST- 2023/07/25 00:00 [received] PHST- 2023/10/20 00:00 [revised] PHST- 2023/11/15 00:00 [accepted] PHST- 2024/12/19 00:00 [pmc-release] PHST- 2023/12/22 06:42 [medline] PHST- 2023/11/20 06:54 [pubmed] PHST- 2023/11/20 03:56 [entrez] AID - S0006-3495(23)00715-4 [pii] AID - 10.1016/j.bpj.2023.11.015 [doi] PST - ppublish SO - Biophys J. 2023 Dec 19;122(24):4710-4729. doi: 10.1016/j.bpj.2023.11.015. Epub 2023 Nov 19.