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Updated: May 6, 2026

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Published on: April 3, 2026
Mathematical models for translational and clinical oncology
Ralf Gallasch, Mirjana Efremova, Pornpimol Charoentong
1Biocenter, Division of Bioinformatics, Innsbruck Medical University, Innrain 80, 6020 Innsbruck, Austria. zlatko.trajanoski@i-med.ac.at.
Mathematical models offer crucial insights into cancer development and treatment. This review highlights their power in understanding tumor processes, improving therapies, and overcoming drug resistance in oncology.
Area of Science:
- Oncology
- Mathematical Biology
- Computational Science
Background:
- Mathematical models are increasingly vital in translational and clinical oncology.
- They offer novel insights into tumor biology and treatment optimization.
- Understanding cancer requires theoretical frameworks from carcinogenesis to therapy.
Purpose of the Study:
- To provide a comprehensive overview of mathematical models in oncology.
- To highlight recent advancements in theoretical cancer research.
- To emphasize the utility of mathematical modeling in clinical practice.
Main Methods:
- Review of mathematical models across the spectrum of cancer research.
- Categorization into models for translational oncology (carcinogenesis, tumor growth, therapy resistance).
- Review of models for clinical oncology (chemotherapy, targeted therapy, radiotherapy, immunotherapy).
Main Results:
- Mathematical models provide insights into molecular mechanisms of cancer.
- They aid in overcoming therapy resistance through evolutionary dynamics models.
- Models support treatment design, including dosage, schedule, and drug sensitivity.
Conclusions:
- Mathematical modeling and computational simulation are powerful tools in oncology.
- These approaches enhance cancer diagnosis and prognosis.
- They help identify novel therapeutic targets for improved patient outcomes.
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