Journal of Mathematical Biology

, Volume 27, Issue 1, pp 81–90

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


  • M. Abundo
    • Dipartimento di MatematicaII Universitá di Roma
  • C. Rossi
    • Dipartimento di MatematicaII Universitá di Roma

DOI: 10.1007/BF00276082

Cite this article as:
Abundo, M. & Rossi, C. J. Math. Biology (1989) 27: 81. doi:10.1007/BF00276082


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.

Key words

Cell resistanceStochastic modelsSimulation

Copyright information

© Springer-Verlag 1989