Abstract
The contribution of this present paper is to propose a method that combines a chemical Brusselator reaction-diffusion system with a biological cell system via gap junction for controlling and visualizing the frequency and magnitude of chaotic intracellular calcium oscillations in two cell types, including nonexcitable cells and the glial cells. This produces a wide variety of oscillatory behaviors similar to those reported in numerous biological experiments. We particularly show that in the majority of chaos cases, the reactor to cell coupling can induce the generation of regular calcium oscillations as the coupling strength is varied. Together with the proposed method of coupled models, the regularity of these chaotic oscillations enables us to gain better understanding and extensive insights into the overall coupling dynamics.
Highlights
Cell is characterized by basic structural and functional unit, as seen under the electron microscope in tissues of organisms
Trying to explain the dynamical mechanism of chaotic Ca2+ oscillation in nonexcitable cell and glia, a lot of mathematical models were established in the field of calcium signaling with purpose of investigating various types of Ca2+ oscillations in the experiment
Mathematical Models e aim of the present paper is to investigate reversible control of the amplitude and the frequency of chaotic Ca2+ oscillation in two different kinds of mathematical models proposed by Borghans et al, Lavrentovich and Hemkin, and Zhao et al as examples that regulate the intracellular chaotic
Summary
Received 29 September 2020; Revised 29 October 2020; Accepted 21 January 2021; Published 4 February 2021. E contribution of this present paper is to propose a method that combines a chemical Brusselator reaction-diffusion system with a biological cell system via gap junction for controlling and visualizing the frequency and magnitude of chaotic intracellular calcium oscillations in two cell types, including nonexcitable cells and the glial cells. Is produces a wide variety of oscillatory behaviors similar to those reported in numerous biological experiments. We show that in the majority of chaos cases, the reactor to cell coupling can induce the generation of regular calcium oscillations as the coupling strength is varied. Together with the proposed method of coupled models, the regularity of these chaotic oscillations enables us to gain better understanding and extensive insights into the overall coupling dynamics
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