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Preventing evolutionary rescue in cancer using two-strike therapy
Srishti Patil1,2,3, Armaan Ahmed4,5, Yannick Viossat6
1Department of Mathematics, City St George's, University of London, London EC1V 0HB, United Kingdom.
Switching cancer treatments at the optimal time, when tumors are smallest and undetectable, can maximize eradication probability. This evolutionary strategy suggests treatment timing is crucial for overcoming therapeutic resistance.
Area of Science:
- Oncology
- Mathematical Biology
- Evolutionary Dynamics
Background:
- First-line cancer therapies often fail due to emerging therapeutic resistance.
- Clinical challenge lies in scheduling subsequent treatments for optimal tumor eradication.
- Understanding tumor vulnerability during minimal size is key.
Purpose of the Study:
- To provide a theoretical framework for optimizing cancer treatment scheduling.
- To determine the ideal timing for switching to a second treatment based on evolutionary principles.
- To explore the impact of tumor parameters and treatment efficacy on eradication success.
Main Methods:
- Mathematical analysis and extensive stochastic simulations.
- Application of evolutionary rescue theory.
- Investigation of tumor extinction probability at different sizes and treatment timings.
Main Results:
- The optimal time to switch treatment is near the tumor's minimum size (nadir) before relapse.
- Switching after relapse begins is often preferable to switching too early.
- Treatment efficacy and tumor evolutionary parameters significantly influence outcomes.
- A strategy for scheduling drugs with unequal efficacy was determined.
Conclusions:
- An evolutionarily-informed multi-strike treatment strategy can enhance tumor eradication.
- Optimal treatment scheduling exploits tumor vulnerability at its smallest, undetectable phase.
- Findings provide a foundation for experimental and clinical investigation into adaptive cancer therapy.
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