Decay Dynamics of Tumors

Álvaro G López, Jesús M Seoane and Miguel A F Sanjuán

PLOS ONE, 2016, vol. 11, issue 6, 1-15

Abstract: The fractional cell kill is a mathematical expression describing the rate at which a certain population of cells is reduced to a fraction of itself. We investigate the mathematical function that governs the rate at which a solid tumor is lysed by a cell population of cytotoxic lymphocytes. We do it in the context of enzyme kinetics, using geometrical and analytical arguments. We derive the equations governing the decay of a tumor in the limit in which it is plainly surrounded by immune cells. A cellular automaton is used to test such decay, confirming its validity. Finally, we introduce a modification in the fractional cell kill so that the expected dynamics is attained in the mentioned limit. We also discuss the potential of this new function for non-solid and solid tumors which are infiltrated with lymphocytes.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0157689

DOI: 10.1371/journal.pone.0157689

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