Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

Nikolov SG, Wolkenhauer O, Nenov M, Vera González J (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Mathematics MDPI

Book Volume: 10

Journal Issue: 16

DOI: 10.3390/math10162928

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.

Authors with CRIS profile

Julio Vera González Professur für Tumorimmunologie (Schwerpunkt Systembiologie)

Involved external institutions

Universität Rostock DE Germany (DE) Bulgarian Academy of Sciences (BAS) / Българска академия на науките BG Bulgaria (BG)

How to cite

APA:

Nikolov, S.G., Wolkenhauer, O., Nenov, M., & Vera González, J. (2022). Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation. Mathematics, 10(16). https://doi.org/10.3390/math10162928

MLA:

Nikolov, Svetoslav G., et al. "Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation." Mathematics 10.16 (2022).

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