Journal article

A novel mathematical model of heterogeneous cell proliferation

Sean T Vittadello, Scott W McCue, Gency Gunasingh, Nikolas K Haass, Matthew J Simpson

Journal of Mathematical Biology | SPRINGER HEIDELBERG | Published : 2021

Abstract

We present a novel mathematical model of heterogeneous cell proliferation where the total population consists of a subpopulation of slow-proliferating cells and a subpopulation of fast-proliferating cells. The model incorporates two cellular processes, asymmetric cell division and induced switching between proliferative states, which are important determinants for the heterogeneity of a cell population. As motivation for our model we provide experimental data that illustrate the induced-switching process. Our model consists of a system of two coupled delay differential equations with distributed time delays and the cell densities as functions of time. The distributed delays are bounded and a..

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University of Melbourne Researchers

Grants

Awarded by National Health and Medical Research Council of Australia


Awarded by Australian Research Council


Funding Acknowledgements

The authors thank the associate editor and the two anonymous referees for helpful comments. NKHis a Cameron fellowof the Melanoma and Skin Cancer Research Institute, and is supported by the National Health and Medical Research Council of Australia (APP1084893). MJS is supported by the Australian Research Council (DP170100474).