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Simulation of cell behavior: Normal and abnormal growth

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Abstract

A mathematical model simulating a cell growing in a culture medium is obtained. Using this model, various behavioral patterns of the cell are obtained under different types of disturbances, in particular when (i) a Mg2+ deficiency experiment and, (ii) a split-dose ionizing radiation experiment are carried out, (iii) when disturbances on the rate constants of the biochemical reactions taking place in the nucleus of the cell are applied, and (iv) when the cell's interior components are perturbed. The cell model results obtained agree well with experimental results for the Mg2+ and split dose experiments, and explain the mechanism of the split dose radiation experiment without the need to introduce additional axioms (e.g. healing processes) into the dynamics of the cell. Conditions are obtained which cause the cell to behave in a rapidly growing ‘tumor-like’ mode; it is shown that once the cell moves into this ‘tumor-like’ mode, its behavior is irreversible, i.e. if a disturbance of opposite type is then applied to the ‘tumor’ cell, the cell will not revert back to its original normal behavior.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Toronto, Canada

    E. J. Davison

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  1. E. J. Davison
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Davison, E.J. Simulation of cell behavior: Normal and abnormal growth. Bltn Mathcal Biology 37, 427–458 (1975). https://doi.org/10.1007/BF02459513

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  • DOI: https://doi.org/10.1007/BF02459513

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