Dynamics of cell growth: Exponential growth and division after a minimum cell size

In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem. We explore the possible eigenvalues that may...

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Bibliographic Details
Main Authors: M. Mohsin, A.A. Zaidi, B. van Brunt
Format: Article
Language:English
Published: Elsevier 2024-09-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124002006