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Numerical simulation of a stochastic model for cancerous cells submitted to chemotherapy

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Abstract

A stochastic model is proposed to study the problem of inherent resistance by cell populations when chemotherapeutic agents are used to control tumor growth. Stochastic differential equations are introduced and numerically integrated to simulate expected response to the chemotherapeutic strategies as a function of different parameters. Satisfactory demonstration runs of the model indicate that it could represent a useful tool in verifying the results of experimental and clinical chemotherapy courses and planning treatment strategies. Some types of behaviour are illustrated graphically.

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Authors and Affiliations

  1. Dipartimento di Matematica, II Universitá di Roma, Via Orazio Raimondo, I-00173, La Romanina (Roma), Italy

    M. Abundo & C. Rossi

Authors
  1. M. Abundo
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  2. C. Rossi
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Work supported by the C.N.R. Grants: 85.02652.01; 86.02116.01

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Abundo, M., Rossi, C. Numerical simulation of a stochastic model for cancerous cells submitted to chemotherapy. J. Math. Biology 27, 81–90 (1989). https://doi.org/10.1007/BF00276082

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  • DOI: https://doi.org/10.1007/BF00276082

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