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Updated: Nov 16, 2025

Implementation of In Vitro Drug Resistance Assays: Maximizing the Potential for Uncovering Clinically Relevant Resistance Mechanisms
Published on: December 9, 2015
Dosage strategies for delaying resistance emergence in heterogeneous tumors
1Wireless Information Network Laboratory (WINLAB), Rutgers, The State University of New Jersey, New Brunswick, NJ, USA.
Abstract:
Drug resistance in cancer treatments is a frequent problem that, when it arises, leads to failure in therapeutic efforts. Tumor heterogeneity is the primary reason for resistance emergence and a precise treatment design that takes heterogeneity into account is required to postpone the rise of resistant subpopulations in the tumor environment. In this paper, we present a mathematical framework involving clonal evolution modeling of drug-sensitive and drug-resistant clones. Using our framework, we examine delaying the rise of resistance in heterogeneous tumors during control phase of therapy in a containment treatment approach. We apply pharmacokinetic/pharmacodynamic (PKPD) modeling and show that dosage strategies can be designed to control the resistant subpopulation. Our results show that the drug dosage and schedule determine the relative dynamics of sensitive and resistant clones. We present an optimal control problem that finds the dosing strategy that maximizes the delay in resistance emergence for a given period of containment treatment.
Insights
Mathematical modeling helps delay cancer drug resistance by optimizing drug dosage and scheduling. This approach targets tumor heterogeneity to prevent resistant cell growth during treatment.
Area of Science:
- Mathematical Oncology
- Cancer Therapeutics
- Pharmacokinetics and Pharmacodynamics (PKPD)
Background:
- Drug resistance is a major cause of cancer treatment failure.
- Tumor heterogeneity drives the emergence of resistant cancer cell populations.
- Current treatment strategies often fail to account for tumor heterogeneity.
Purpose of the Study:
- To develop a mathematical framework for modeling clonal evolution in heterogeneous tumors.
- To investigate strategies for delaying drug resistance emergence using a containment approach.
- To design optimal drug dosage and scheduling strategies to control resistant subpopulations.
Main Methods:
- Clonal evolution modeling of drug-sensitive and drug-resistant cancer cell populations.
- Application of pharmacokinetic/pharmacodynamic (PKPD) modeling to treatment dynamics.
- Formulation and solution of an optimal control problem for treatment strategy design.
Main Results:
- Drug dosage and administration schedule significantly influence the dynamics of sensitive and resistant clones.
- PKPD modeling enables the design of dosage strategies to manage resistant subpopulations.
- The study identifies optimal dosing strategies to maximize the delay of resistance emergence.
Conclusions:
- A mathematical framework integrating clonal evolution and PKPD modeling can effectively address drug resistance.
- Tailored drug dosing and scheduling are crucial for containing resistant cancer cell growth.
- Optimal control strategies can significantly postpone the rise of resistance in heterogeneous tumors.
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