An algorithm for partial functional differential equations modeling tumor growth

B. Zubik-Kowal

Applied Mathematics and Computation, 2018, vol. 321, issue C, 85-92

Abstract: We introduce a parallel algorithm for the numerical simulation of the growth of human tumor cells in time-varying environments and their response to therapy. The behavior of the cell populations is described by a system of delay partial differential equations with time-dependent coefficients. We construct the new algorithm by developing a time-splitting technique in which the entire problem is split into independent tasks assigned to arbitrary numbers of processors chosen in light of available resources. We present the results of a series of numerical experiments, which confirm the efficiency of the algorithm and exhibit a substantial decrease in computational time thus providing an effective means for fast clinical, case-by-case applications of tumor invasion simulations and possible treatment.

Keywords: Cancer dynamics; Cell population; Tumor growth; Parallel algorithm (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:85-92

DOI: 10.1016/j.amc.2017.09.028

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