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Updated: May 23, 2026

Implementation of In Vitro Drug Resistance Assays: Maximizing the Potential for Uncovering Clinically Relevant Resistance Mechanisms
Published on: December 9, 2015
Evolutionary Antifragile Therapy Is a Treatment Strategy to Suppress Drug Resistance by Exploiting Dose-Response
Jeffrey West1, Bina Desai2, Maximilian A R Strobl3
1Integrated Mathematical Oncology Department, H. Lee Moffitt Cancer Center and Research Institute, Tampa, Florida.
Abstract:
A population of cells within a tumor can be described as antifragile (the opposite of fragile) if they derive a benefit from fluctuations or perturbations in environmental conditions induced by treatment. Treatment fluctuations could either promote (antifragile tumor) or inhibit (fragile tumor) the evolution of treatment resistance to targeted therapies. In this study, we showed that analysis of the convexity of dose-response curves provided a direct prediction of response to prescribed fluctuations in treatment. Convexity predicted that continuous treatment protocols (i.e., zero prescribed fluctuations in treatment) would outperform uneven protocols when dose response is convex. This theory was applied to predict in vivo response to targeted therapy, and the predictions were validated by experimentally testing high/low intermittent dosing (uneven dosing) and continuous dosing (even dosing) schedules. Convexity (and its inverse, concavity) explained 2 phenomena: Dose response is a convex (fragile) function, but the resistance onset rate is a concave (antifragile) function. Thus, design and validation of alternative treatment schedules maximized response while maintaining prolonged sensitivity to treatment. Together, these analyses provide supporting evidence that fluctuations alter the evolutionary trajectory of tumors in response to targeted therapy, even without altering the cumulative dose. By using this insight to design alternative treatment protocols to limit the evolution of resistance by careful analysis of the dose-response curvature, the study supports the potential of "evolutionary antifragile therapy" as a subtype in the broad class of evolution-based treatment strategies.
Significance:
The mathematical method using dose response curvature to determine appropriate treatment dosing that limits the evolution of resistance could facilitate designing dose schedules that optimize tumor response. See related commentary by Pomeroy and Palmer, p. 4195.
Insights
Tumor cells can be antifragile, benefiting from treatment fluctuations. Analyzing dose response curve convexity predicts treatment effectiveness, guiding "Evolutionary Antifragile Therapy" to limit resistance.
Area of Science:
- Oncology
- Mathematical Biology
- Evolutionary Medicine
Background:
- Tumor cell populations can exhibit antifragility, gaining benefits from treatment-induced environmental fluctuations.
- Treatment fluctuations can either promote or inhibit the evolution of treatment resistance to targeted therapies.
Purpose of the Study:
- To investigate how dose response curve convexity predicts tumor response to fluctuating treatment schedules.
- To explore the concept of "Evolutionary Antifragile Therapy" for limiting treatment resistance.
Main Methods:
- Analysis of dose response curve convexity to predict treatment outcomes.
- Experimental validation using intermittent versus continuous dosing schedules in vivo.
- Mathematical modeling of tumor evolution under varying treatment regimens.
Main Results:
- Convexity of dose response curves accurately predicted that continuous treatment outperforms uneven protocols for convex responses.
- Dose response was identified as a convex (fragile) function, while resistance onset rate was concave (antifragile).
- Fluctuating treatment schedules, designed using dose response curvature analysis, maximized response and prolonged sensitivity.
Conclusions:
- Treatment fluctuations significantly alter tumor evolutionary trajectories, even without changing cumulative dose.
- Understanding dose response curvature is key to designing "Evolutionary Antifragile Therapy" protocols.
- This approach offers a strategy to limit the evolution of resistance in targeted cancer therapies.
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