A mathematical model of cycle-specific chemotherapy

  • Authors:
  • J. C. Panetta;J. Adam

  • Affiliations:
  • Department of Mathematics and Statistics, Old Dominion University Norfolk, VA 23529, U.S.A.;Department of Mathematics and Statistics, Old Dominion University Norfolk, VA 23529, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1995

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Abstract

A mathematical model is used to discuss the effects of cycle-specific chemotherapy. The model includes a constraint equation which describes the effects of the drugs on sensitive normal tissue such as bone marrow. This model investigates both pulsed and piecewise-continuous chemotherapeutic effects and calculates the parameter regions of acceptable dose and period. It also identifies the optimal period needed for maximal tumor reduction. Examples are included concerning the use of growth factors and how they can enhance the cell kill of the chemotherapeutic drugs.