%0 Journal Article
%T Mathematical Analysis of Membrane Transporters Dynamics: A Calcium Fluxes Case Study.
%A Perrillat-Mercerot A
%A Deliot N
%A Miranville A
%A Guillevin R
%A Constantin B
%A Perrillat-Mercerot A
%A Deliot N
%A Miranville A
%A Guillevin R
%A Constantin B
%J Acta Biotheor
%V 70
%N 2
%D Apr 2022 28
%M 35482100
%F 1.185
%R 10.1007/s10441-022-09437-3
%X A tight control of intracellular [Ca[Formula: see text]] is essential for the survival and normal function of cells. In this study we investigate key mechanistic steps by which calcium is regulated and calcium oscillations could occur using in silico modeling of membrane transporters. To do so we give a deterministic description of intracellular Ca[Formula: see text] dynamics using nonlinear dynamics in order to understand Ca[Formula: see text] signaling. We first present the ordinary differential equations (ODEs) system for cell calcium kinetics and make a preliminary work on Sobol indices. We then describe and analyze complex transporters action. Besides, we analyze the whole system. We finally perform numerical simulations and compare our results to real data.