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Darwinian Approaches for Cancer Treatment: Benefits of Mathematical Modeling
Sophia Belkhir1,2, Frederic Thomas1, Benjamin Roche1,3
1CREEC/MIVEGEC, Université de Montpellier, CNRS, IRD, 34394 Montpellier, France.
Abstract:
One of the major problems of traditional anti-cancer treatments is that they lead to the emergence of treatment-resistant cells, which results in treatment failure. To avoid or delay this phenomenon, it is relevant to take into account the eco-evolutionary dynamics of tumors. Designing evolution-based treatment strategies may help overcoming the problem of drug resistance. In particular, a promising candidate is adaptive therapy, a containment strategy which adjusts treatment cycles to the evolution of the tumors in order to keep the population of treatment-resistant cells under control. Mathematical modeling is a crucial tool to understand the dynamics of cancer in response to treatments, and to make predictions about the outcomes of these treatments. In this review, we highlight the benefits of in silico modeling to design adaptive therapy strategies, and to assess whether they could effectively improve treatment outcomes. Specifically, we review how two main types of models (i.e., mathematical models based on Lotka-Volterra equations and agent-based models) have been used to model tumor dynamics in response to adaptive therapy. We give examples of the advances they permitted in the field of adaptive therapy and discuss about how these models can be integrated in experimental approaches and clinical trial design.
Insights
Adaptive therapy adjusts cancer treatments to tumor evolution, controlling resistant cells. Mathematical modeling aids in designing and assessing these evolution-based strategies for better treatment outcomes.
Area of Science:
- Oncology
- Evolutionary Biology
- Mathematical Biology
Background:
- Traditional cancer treatments often fail due to the emergence of drug-resistant cells.
- Understanding tumor eco-evolutionary dynamics is key to overcoming treatment resistance.
- Adaptive therapy offers a promising evolution-based strategy to manage resistant cell populations.
Purpose of the Study:
- To review the benefits of in silico modeling for designing adaptive therapy strategies.
- To assess the potential of adaptive therapy to improve cancer treatment outcomes.
- To explore how mathematical models can inform experimental and clinical applications of adaptive therapy.
Main Methods:
- Review of mathematical models, including Lotka-Volterra equations and agent-based models.
- Analysis of how these models simulate tumor dynamics under adaptive therapy.
- Discussion on integrating computational models with experimental and clinical research.
Main Results:
- In silico modeling is beneficial for designing and evaluating adaptive therapy.
- Mathematical models provide insights into controlling treatment-resistant cancer cell populations.
- Specific model types, Lotka-Volterra and agent-based models, have been instrumental in advancing adaptive therapy research.
Conclusions:
- Adaptive therapy, guided by mathematical modeling, shows potential for improved cancer treatment outcomes.
- In silico approaches are crucial for predicting and optimizing adaptive therapy strategies.
- Integration of modeling with experimental and clinical studies is essential for advancing adaptive therapy in practice.
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