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Updated: Feb 7, 2026
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Generation of Comprehensive Thoracic Oncology Database - Tool for Translational Research
Published on: January 22, 2011
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75 Years of Mathematical Oncology
Franco Pradelli1, Maximilian Strobl2,3,4,5, Sadegh Marzban1
1Integrated Mathematical Oncology Department, Moffitt Cancer Center, Tampa, FL. USA.
Biorxiv : the Preprint Server for Biology
|February 6, 2026
Summary
Mathematical Oncology uses quantitative models to advance cancer research and treatment. This field integrates biology, clinical data, and mathematics for better screening, therapy guidance, and forecasting.
Area of Science:
- Mathematical Oncology
- Interdisciplinary research
- Cancer biology and treatment modeling
Background:
- Mathematics has historically provided quantitative frameworks for cancer biology and treatment.
- The field has evolved into a multidisciplinary and translational endeavor known as Mathematical Oncology.
- The interdisciplinary nature of Mathematical Oncology can obscure its evolutionary path and boundaries with related fields.
Purpose of the Study:
- To conduct a comprehensive bibliometric analysis of mathematical research in oncology over 75 years.
- To map the conceptual and collaborative development of Mathematical Oncology.
- To delineate the distinct identity of Mathematical Oncology from adjacent domains like Systems Biology and Pharmacokinetics/Pharmacodynamics.
Main Methods:
- Bibliometric analysis using a manually curated corpus (approx. 1,500 papers) and a large query-based dataset (approx. 19,000 papers).
- Mapping the conceptual and collaborative development of the field over time.
- Independent analyses to assess growth, impact, and interdisciplinarity.
Main Results:
- Sustained growth, high impact, and pronounced interdisciplinarity in mathematical oncology research.
- A gradual shift from fundamental cancer biology towards therapeutic modeling.
- Identification of Mathematical Oncology as a distinct field, separate from Systems Biology and Pharmacokinetics/Pharmacodynamics.
Conclusions:
- Mathematical Oncology is an emerging distinct field, not just the application of math to cancer.
- It integrates diverse concepts including applied mathematics, optimal control, evolutionary theory, and imaging.
- Interpretable models in Mathematical Oncology improve cancer screening, disease evolution understanding, therapy guidance, and forecasting.
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