Numerical Algorithm for the Growth of Human Tumor Cells and Their Responses to Therapy

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate a system of delay partial differential equations that models the growth of human tumor cells and their responses to therapy. The model includes unknown parameters that need to be estimated according to experimental data. We introduce a numerical algorithm, which shortens the computational time for solving the model equations and estimating their parameters. Numerical results demonstrate the efficiency of our algorithm and show correspondence between predicted and experimental data.

Original languageAmerican English
JournalMathematics Faculty Publications and Presentations
StatePublished - 1 Mar 2014

Keywords

  • delay partial differential equations
  • human cell cycle dynamics
  • integro-delay term with nonlinear kernel
  • number densities of cells
  • relative DNA content

EGS Disciplines

  • Mathematics

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