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Updated: May 10, 2026

Evaluating the Effectiveness of Cancer Drug Sensitization In Vitro and In Vivo
Published on: February 6, 2015
Evolutionary dynamics of cancer in response to targeted combination therapy
Ivana Bozic1, Johannes G Reiter, Benjamin Allen
1Program for Evolutionary Dynamics , Harvard University , Cambridge , United States ; Department of Mathematics , Harvard University , Cambridge , United States.
Abstract:
In solid tumors, targeted treatments can lead to dramatic regressions, but responses are often short-lived because resistant cancer cells arise. The major strategy proposed for overcoming resistance is combination therapy. We present a mathematical model describing the evolutionary dynamics of lesions in response to treatment. We first studied 20 melanoma patients receiving vemurafenib. We then applied our model to an independent set of pancreatic, colorectal, and melanoma cancer patients with metastatic disease. We find that dual therapy results in long-term disease control for most patients, if there are no single mutations that cause cross-resistance to both drugs; in patients with large disease burden, triple therapy is needed. We also find that simultaneous therapy with two drugs is much more effective than sequential therapy. Our results provide realistic expectations for the efficacy of new drug combinations and inform the design of trials for new cancer therapeutics. DOI:http://dx.doi.org/10.7554/eLife.00747.001.
Insights
Combination therapy can overcome cancer drug resistance. Mathematical modeling shows dual therapy offers long-term control for most solid tumors, while triple therapy is needed for advanced disease. Simultaneous drug administration is most effective.
Area of Science:
- Oncology
- Mathematical Biology
- Cancer Therapeutics
Background:
- Targeted cancer treatments often face short-lived efficacy due to the emergence of resistant cancer cells.
- Combination therapy is a primary strategy to overcome treatment resistance in solid tumors.
Purpose of the Study:
- To develop a mathematical model for analyzing the evolutionary dynamics of tumors under treatment.
- To evaluate the effectiveness of combination therapies in controlling metastatic solid tumors.
Main Methods:
- Developed a mathematical model to simulate cancer lesion evolution during treatment.
- Analyzed data from 20 melanoma patients treated with vemurafenib.
- Applied the model to independent patient cohorts with metastatic pancreatic, colorectal, and melanoma cancers.
Main Results:
- Dual drug therapy achieves long-term disease control in most patients, provided no cross-resistance mutations exist.
- Triple therapy is necessary for patients with a high disease burden.
- Simultaneous administration of drugs is significantly more effective than sequential therapy.
Conclusions:
- Mathematical modeling provides realistic predictions for combination therapy efficacy in solid tumors.
- Findings inform the design of clinical trials for novel cancer therapeutics and combination strategies.
- Optimizing drug combination and scheduling is crucial for overcoming cancer resistance.
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