Work

Analysis of differentiation ratio regulation dynamics in a globally coupled cell population model based on its reduced models

Year: 2024

Type: article

Abstract: The mathematical model of a cell population interacting through a common pool (external environment) is a representative model of spatial-independent cell differentiation. This model shows an interesting phenomenon: the ratio of cell differentiation (differentiation ratio) is restricted to a specific range. However, the number of variables increases as the number of cells increases, making the analysis difficult for large cell populations. Therefore, this study takes “symmetry” of the cell population model into account, introducing two different reduced models to decrease the number of variables. Through simulations and bifurcation analyses, several aspects of the differentiation ratio regulation dynamics in the original model are revealed.

Source: Nonlinear Theory and Its Applications IEICE

DOI: 10.1587/nolta.16.168

Authors: Ryuto Okubo, Shunto Kawae, Shinji Doi

Institution: Kyoto University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Awards: Study on the mechanism of the blood glucose control in pancreatic islets based on the consideration of both the global paracrine effects and the local electrophysiological interactions, Study on the mechanism of the paracrine and the blood glucose control in pancreatic islets based on the electrophysiological modeling of pancreatic islets and its nonlinear analysis