### Mathematical Biosciences and Engineering

2013, Issue 3: 939-957. doi: 10.3934/mbe.2013.10.939

# Computational modeling approaches to studying the dynamics of oncolytic viruses

• Received: 01 July 2012 Accepted: 29 June 2018 Published: 01 April 2013
• MSC : 92D25.

• Oncolytic viruses specifically infect cancer cells, replicate in them, killthem, and spread to further tumor cells. They represent a targeted treatmentapproach that is promising in principle, but consistent success has yet tobe observed. Mathematical models can play an important role in analyzing thedynamics between oncolytic viruses and a growing tumor cell population,providing insights that can be useful for the further development of thistherapy approach. This article reviews different mathematical modelingapproaches ranging from ordinary differential equations to spatiallyexplicit agent-based models. Problems of model robustness are discussed andso are some clinically important insight derived from the models.

Citation: Dominik Wodarz. Computational modeling approaches to studying the dynamics of oncolytic viruses[J]. Mathematical Biosciences and Engineering, 2013, 10(3): 939-957. doi: 10.3934/mbe.2013.10.939

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• Oncolytic viruses specifically infect cancer cells, replicate in them, killthem, and spread to further tumor cells. They represent a targeted treatmentapproach that is promising in principle, but consistent success has yet tobe observed. Mathematical models can play an important role in analyzing thedynamics between oncolytic viruses and a growing tumor cell population,providing insights that can be useful for the further development of thistherapy approach. This article reviews different mathematical modelingapproaches ranging from ordinary differential equations to spatiallyexplicit agent-based models. Problems of model robustness are discussed andso are some clinically important insight derived from the models.
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