Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration

Math Biosci Eng. 2021 Feb 22;18(2):1845-1863. doi: 10.3934/mbe.2021096.

Abstract

A complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of administration of the treatment, by continuous infusion and by periodic infusion. Several numerical simulations illustrate and complement the theory.

Keywords: dynamic system; equilibrium point; generalized logistic model; numerical simulation; solid tumor; stability.

MeSH terms

  • Computer Simulation
  • Humans
  • Neoplasms* / drug therapy
  • Pharmaceutical Preparations*

Substances

  • Pharmaceutical Preparations