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.

Modeling the Kinetics of the Singlet Oxygen Effect in Aqueous Solutions of Proteins Exposed to Thermal and Laser Radiation

“…Modeling the kinetics of biochemical processes can give an understanding of the main formation mechanisms and the roles of the various intermediate and final reaction products (see, for example, [1][2][3]). More specifically, it helps to assess the influence of external factors (temperature, type of solvent, concentration of the initial components, exposure to ionizing and non-ionizing radiation, etc.…”