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Optimized Treatment Schedules for Chronic Myeloid Leukemia
Qie He1, Junfeng Zhu1, David Dingli2
1Department of Industrial and Systems Engineering, University of Minnesota, Minneapolis, MN, USA.
Abstract:
Over the past decade, several targeted therapies (e.g. imatinib, dasatinib, nilotinib) have been developed to treat Chronic Myeloid Leukemia (CML). Despite an initial response to therapy, drug resistance remains a problem for some CML patients. Recent studies have shown that resistance mutations that preexist treatment can be detected in a substantial number of patients, and that this may be associated with eventual treatment failure. One proposed method to extend treatment efficacy is to use a combination of multiple targeted therapies. However, the design of such combination therapies (timing, sequence, etc.) remains an open challenge. In this work we mathematically model the dynamics of CML response to combination therapy and analyze the impact of combination treatment schedules on treatment efficacy in patients with preexisting resistance. We then propose an optimization problem to find the best schedule of multiple therapies based on the evolution of CML according to our ordinary differential equation model. This resulting optimization problem is nontrivial due to the presence of ordinary different equation constraints and integer variables. Our model also incorporates drug toxicity constraints by tracking the dynamics of patient neutrophil counts in response to therapy. We determine optimal combination strategies that maximize time until treatment failure on hypothetical patients, using parameters estimated from clinical data in the literature.
Insights
This study models Chronic Myeloid Leukemia (CML) treatment, finding optimal schedules for combination therapies to overcome drug resistance and minimize toxicity. The mathematical approach aims to improve patient outcomes by predicting treatment efficacy.
Area of Science:
- Oncology
- Mathematical Biology
- Pharmacology
Background:
- Targeted therapies like imatinib have advanced Chronic Myeloid Leukemia (CML) treatment.
- Drug resistance, often due to pre-existing mutations, limits the long-term efficacy of CML therapies.
- Optimizing combination therapy schedules is crucial for overcoming resistance and improving patient outcomes.
Purpose of the Study:
- To develop a mathematical model for predicting CML response to combination targeted therapies.
- To analyze the impact of different treatment schedules on efficacy in patients with pre-existing resistance.
- To determine optimal combination therapy strategies that maximize time until treatment failure.
Main Methods:
- Developed an ordinary differential equation model to simulate CML dynamics under combination therapy.
- Formulated an optimization problem to identify ideal treatment schedules, considering CML evolution and drug toxicity.
- Incorporated neutrophil count dynamics to model drug toxicity constraints.
- Utilized parameters from clinical literature for hypothetical patient simulations.
Main Results:
- Identified optimal combination therapy schedules that enhance treatment efficacy against CML.
- Demonstrated the model's ability to predict treatment outcomes based on pre-existing resistance and toxicity.
- Quantified the impact of different scheduling strategies on delaying treatment failure.
Conclusions:
- Mathematical modeling provides a powerful framework for designing effective CML combination therapies.
- Optimized treatment schedules can significantly improve outcomes for CML patients, particularly those with resistance.
- This approach offers a pathway to personalized medicine by tailoring therapy based on individual patient dynamics and resistance profiles.
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