Cell cycle length and long-time behaviour of an age-size model

Abstract

We consider an age-size structured cell population model based on the cell cycle length. The model is described by a first order partial differential equation with initial-boundary conditions. Using the theory of semigroups of positive operators we establish new criteria for an asynchronous exponential growth of solutions to such equations. We discuss the question of exponential size growth of cells. We study in detail a constant size growth model and a model with target size division. We also present versions of the model when the population is heterogeneous.

arXiv comment30 pages, 3 figures

References in corpus (6)

• Cell size regulation in microorganisms
• Scaling laws governing stochastic growth and division of single bacterial cells
• Analysis of a Population Model Structured by the Cells Molecular Content
• Cell size regulation induces sustained oscillations in the population growth rate
• Phenomenology of stochastic exponential growth
• Steady distribution of the incremental model for bacteria proliferation