A dynamical systems approach to cell growth

Authors

  • Gustavo Bueno Romero Universidade de São Paulo. Instituto de Biociências. Departamento de Fisiologia
  • Ricardo Alves Martins Universidade de São Paulo. Instituto de Biociências. Departamento de Fisiologia

DOI:

https://doi.org/10.7594/revbio.12.01.03

Keywords:

. Dynamical systems, Reaction-diffusion system, Cellular growth, Murray model, Cellular proportion.

Abstract

This article has two objectives. Firstly, we conduct a brief introduction to the conceptual elements of embryogenesis. In this context, two of the most important mathematical models in Developmental Biology, the mechanical model of Murray and Alan Turing’s reaction-diffusion model, are discussed and their conceptual differences made explicit. Furthermore, we propose a new model based on Dynamical Systems to represent cellular growth. This new model is extended in order to consider the development of a tissue comprised of two cell types. Finally, we discuss the strengths and weaknesses of this approach in Biology

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Published

2018-04-23

Issue

Vol. 12 No. 1 (2014): Especial Biologia Teórica

Section

Artigo

License

We ensure that our journal does not retain any copyright and that these are exclusive of the author(s) of the text. In that sense, we intend to break any restrictions to the published material and to achieve more intensely our goal of communicating science.

How to Cite

Romero, G. B., & Martins, R. A. (2018). A dynamical systems approach to cell growth. Revista Da Biologia, 12(1), 11-16. https://doi.org/10.7594/revbio.12.01.03