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Control exponential growth of tumor cells with slow spread of oncolytic virus

Wen Si1, Weinian Zhang1

  • 1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China.

Journal of Theoretical Biology
|December 2, 2014
PubMed

Insights

Slow virus spread in cancer therapy shows promise for controlling solid tumors. This study identifies critical parameter thresholds for specific bifurcations, enabling effective tumor cell population management.

Area of Science:

  • Oncology
  • Mathematical Biology
  • Virology

Background:

  • Oncolytic viruses offer a promising cancer therapy approach.
  • Rapid virus spread is ineffective against solid tumors.
  • Slow virus spread in solid tumors can lead to complex dynamics.

Purpose of the Study:

  • Investigate bifurcations in an oncolytic virus dynamics model.
  • Analyze tumor cell growth with exponential dynamics.
  • Examine the impact of slow virus spread on tumor control.

Main Methods:

  • Mathematical modeling of virus-tumor cell interactions.
  • Analysis of equilibrium bifurcations (saddle-node, Hopf, Bogdanov-Takens).
  • Determination of parameter conditions for bifurcations.

Main Results:

  • Identified conditions for saddle-node bifurcation.
  • Determined parameters for Hopf bifurcation.
  • Characterized Bogdanov-Takens bifurcation in the model.
  • Established parameter thresholds for slow virus spread.

Conclusions:

  • Slow virus spread dynamics are crucial for solid tumor control.
  • Bifurcation analysis provides insights into therapeutic parameter ranges.
  • Defined thresholds for managing tumor cell populations effectively.
Keywords:
BifurcationCancer growthStability

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