Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

Svetoslav G. Nikolov (), Olaf Wolkenhauer, Momchil Nenov and Julio Vera
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Svetoslav G. Nikolov: Department of Systems Biology and Bioinformatics, University of Rostock, 18051 Rostock, Germany
Olaf Wolkenhauer: Department of Systems Biology and Bioinformatics, University of Rostock, 18051 Rostock, Germany
Momchil Nenov: Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria
Julio Vera: Laboratory of Systems Tumor Immunology, Department of Dermatology, University Hospital Erlangen, 91052 Erlangen, Germany

Mathematics, 2022, vol. 10, issue 16, 1-16

Abstract: In this paper, we derive a four-dimensional ordinary differential equation (ODE) model representing the main interactions between Sox9, Sox10, Olig2 and several miRNAs, which drive the process of (olygodendrocyte) differentiation. We utilize the Lyapunov–Andronov theory to analyze its dynamical properties. Our results indicated that the strength of external signaling (morphogenic gradients shh and bmp ), and the transcription rate of mOlig2 explain the existence of stable and unstable (sustained oscillations) behavior in the system. Possible biological implications are discussed.

Keywords: oligodendrocytes; differentiation; mathematical model; stability; analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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