Mathematical modeling of cancer radiovirotherapy

David M Dingli, Matthew D. Cascino, Krešimir Josić, Stephen J Russell, Željko Bajzer

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

Cancer virotherapy represents a dynamical system that requires mathematical modeling for complete understanding of the outcomes. The combination of virotherapy with radiation (radiovirotherapy) has been recently shown to successfully eliminate tumors when virotherapy alone failed. However, it introduces a new level of complexity. We have developed a mathematical model, based on population dynamics, that captures the essential elements of radiovirotherapy. The existence of corresponding equilibrium points related to complete cure, partial cure, and therapy failure is proved and discussed. The parameters of the model were estimated by fitting to experimental data. By using simulations we analyzed the influence of parameters that describe the interaction between virus and tumor cell on the outcome of the therapy. Furthermore, we evaluated relevant therapeutic scenarios for radiovirotherapy, and offered elements for optimization.

Original languageEnglish (US)
Pages (from-to)55-78
Number of pages24
JournalMathematical Biosciences
Volume199
Issue number1
DOIs
StatePublished - 2006

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tumor
Mathematical Modeling
Therapy
Tumors
Tumor
cancer
Cancer
mathematical models
therapeutics
Population dynamics
neoplasms
Population Dynamics
Viruses
Equilibrium Point
Virus
modeling
Neoplasms
Oncogenic Viruses
population dynamics
virus

Keywords

  • Cancer
  • Gene therapy
  • Mathematical model
  • Radioiodide
  • Therapy optimization
  • Virotherapy

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Mathematical modeling of cancer radiovirotherapy. / Dingli, David M; Cascino, Matthew D.; Josić, Krešimir; Russell, Stephen J; Bajzer, Željko.

In: Mathematical Biosciences, Vol. 199, No. 1, 2006, p. 55-78.

Research output: Contribution to journalArticle

Dingli, David M ; Cascino, Matthew D. ; Josić, Krešimir ; Russell, Stephen J ; Bajzer, Željko. / Mathematical modeling of cancer radiovirotherapy. In: Mathematical Biosciences. 2006 ; Vol. 199, No. 1. pp. 55-78.
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