Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

Svetoslav G. Nikolov; Olaf Wolkenhauer; Momchil Nenov; Julio Vera

doi:10.3390/math10162928

Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

Svetoslav G. Nikolov^* (First Author), Olaf Wolkenhauer (Co-Author), Momchil Nenov (Co-Author), Julio Vera (Last Author)

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	2928
Journal	Mathematics
Volume	10
Issue number	16
DOIs	https://doi.org/10.3390/math10162928
State	Published - Aug 2022
Externally published	Yes

Keywords

analysis
differentiation
mathematical model
oligodendrocytes
stability

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10.3390/math10162928

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@article{02a1e10d6618456bb474be5d5d6563cd,

title = "Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation",

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 = "analysis, differentiation, mathematical model, oligodendrocytes, stability",

author = "Nikolov, \{Svetoslav G.\} and Olaf Wolkenhauer and Momchil Nenov and Julio Vera",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors.",

year = "2022",

month = aug,

doi = "10.3390/math10162928",

language = "English",

volume = "10",

journal = "Mathematics",

issn = "2227-7390",

number = "16",

}

TY - JOUR

T1 - Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

AU - Nikolov, Svetoslav G.

AU - Wolkenhauer, Olaf

AU - Nenov, Momchil

AU - Vera, Julio

PY - 2022/8

Y1 - 2022/8

N2 - 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.

AB - 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.

KW - analysis

KW - differentiation

KW - mathematical model

KW - oligodendrocytes

KW - stability

UR - https://www.scopus.com/pages/publications/85137380687

U2 - 10.3390/math10162928

DO - 10.3390/math10162928

M3 - Article

AN - SCOPUS:85137380687

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 16

M1 - 2928

ER -

Detection and Analysis of Critical Dynamic Properties of Oligodendrocyte Differentiation

Abstract

Keywords

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