Geodesic
Effects of the dynamics of noise-induced calcium signals in a biophysical model of the astrocytic process
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 33 (2025) no. 1, pp. 82-99

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The purpose of this work is to study the effects of spatio-temporal dynamics of spontaneous calcium signaling in the morphological structure of an astrocyte at the subcellular level using biophysical mathematical modeling methods. Methods. This work proposes a biophysical multicompartmental model of noise-induced calcium dynamics in the astrocytic process. The model describes the process of generation of spontaneous Ca2+ signals induced by the stochastic activation of voltage-dependent Ca2+ channels on the plasma membrane of the astrocyte. The model allows us to study the dynamics of the propagation of spontaneous local Ca2+ signals and the mechanisms of formation of spatial Ca2+ patterns in the astrocytic process. Results. The developed model enables studying the influence of morphology and intracellular biophysical mechanisms on the characteristics of spontaneous noise-induced Ca2+ signaling in the astrocytic process. The parameter ranges at which the model qualitatively reproduces the spontaneous Ca2+ activity at the subcellular level observed in experimental studies have been specified. The characteristics of noise-induced Ca2+ patterns propagating along the process were investigated, depending on the internal structure of the process, its geometry, and the steady state concentration of inositol 1,4,5-triphosphate molecules.
Keywords: astrocytic process, compartment, calcium signal, inositol 1, 4, 5-triphosphate, anomalous diffusion 
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     author = {A. V. Ermolaeva and I. A. Kastalskiy and V. B. Kazantsev and S. Yu. Gordleeva},
     title = {Effects of the dynamics of noise-induced calcium signals in a biophysical model of the astrocytic process},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
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     year = {2025},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2025_33_1_a6/}
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A. V. Ermolaeva; I. A. Kastalskiy; V. B. Kazantsev; S. Yu. Gordleeva. Effects of the dynamics of noise-induced calcium signals in a biophysical model of the astrocytic process. Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 33 (2025) no. 1, pp. 82-99. http://geodesic.mathdoc.fr/item/IVP_2025_33_1_a6/