Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells

Neeraj Manhas

doi:10.53391/mmnsa.1503948

EN

Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells

Abstract

Theoretical studies on calcium oscillations within the cytosolic [Ca$^{2+}$], and mitochondria [Ca$^{2+}$]$_{mit}$ have been conducted using a mathematical model-based approach. The model incorporates the mechanism of calcium-induced calcium release (CICR) through the activation of inositol-trisphosphate receptors (IPR), with a focus on the endoplasmic reticulum (ER) as an internal calcium store. The production of 1,4,5 inositol-trisphosphate (IP$_{3}$) through the phospholipase $C$ isoforms and its degradation via Ca$^{2+}$ are considered, with IP$_{3}$ playing a crucial role in modulating calcium release from the ER. The model includes a simple kinetic mechanism for mitochondrial calcium uptake, release and physical connections between the ER and mitochondria, known as mitochondrial associate membrane complexes (MAMs), which influence cellular calcium homeostasis. Bifurcation analysis is used to explore the different dynamic properties of the model, identifying various regimes of oscillatory behavior and how these regimes change in response to different levels of stimulation, highlighting the complex regulatory mechanisms governing intracellular calcium signaling.

Keywords

Mitochondria-associated membranes, Hopf bifurcation, periodic doubling bifurcation, calcium oscillation

Supporting Institution

The author thanks Department of Mathematics, NIT, Raipur, to provide facilities to do this research.

Project Number

NiL

Ethical Statement

NIL

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Details

Primary Language

English

Subjects

Biological Mathematics

Journal Section

Research Article

Authors

Neeraj Manhas ^*
0000-0002-4682-4537
India

Publication Date

September 30, 2024

Submission Date

June 24, 2024

Acceptance Date

August 23, 2024

Published in Issue

Year 2024 Volume: 4 Number: 3

DOI

https://doi.org/10.53391/mmnsa.1503948

IZ

https://izlik.org/JA53UC76NA

APA

Manhas, N. (2024). Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells. Mathematical Modelling and Numerical Simulation With Applications, 4(3), 280-295. https://doi.org/10.53391/mmnsa.1503948

AMA

1.Manhas N. Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells. MMNSA. 2024;4(3):280-295. doi:10.53391/mmnsa.1503948

Chicago

Manhas, Neeraj. 2024. “Mathematical Model for IP$_{3}$ Dependent Calcium Oscillations and Mitochondrial Associate Membranes in Non-Excitable Cells”. Mathematical Modelling and Numerical Simulation With Applications 4 (3): 280-95. https://doi.org/10.53391/mmnsa.1503948.

EndNote

Manhas N (September 1, 2024) Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells. Mathematical Modelling and Numerical Simulation with Applications 4 3 280–295.

IEEE

[1]N. Manhas, “Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells”, MMNSA, vol. 4, no. 3, pp. 280–295, Sept. 2024, doi: 10.53391/mmnsa.1503948.

ISNAD

Manhas, Neeraj. “Mathematical Model for IP$_{3}$ Dependent Calcium Oscillations and Mitochondrial Associate Membranes in Non-Excitable Cells”. Mathematical Modelling and Numerical Simulation with Applications 4/3 (September 1, 2024): 280-295. https://doi.org/10.53391/mmnsa.1503948.

JAMA

1.Manhas N. Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells. MMNSA. 2024;4:280–295.

MLA

Manhas, Neeraj. “Mathematical Model for IP$_{3}$ Dependent Calcium Oscillations and Mitochondrial Associate Membranes in Non-Excitable Cells”. Mathematical Modelling and Numerical Simulation With Applications, vol. 4, no. 3, Sept. 2024, pp. 280-95, doi:10.53391/mmnsa.1503948.

Vancouver

1.Neeraj Manhas. Mathematical model for IP$_{3}$ dependent calcium oscillations and mitochondrial associate membranes in non-excitable cells. MMNSA. 2024 Sep. 1;4(3):280-95. doi:10.53391/mmnsa.1503948