Mathematical oncology: Using mathematics to enable cancer discoveries

Trachette Jackson, Natalia Komarova, Kristin Swanson

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Mathematical and computational modeling approaches have been applied to every aspect of tumor growth from mutation acquisition and tumorigenesis to metastasis and treatment response. In this article, we discuss some of the current mathematical trends in the field and the exciting applications and challenges that lie ahead. In particular, we focus on mathematical approaches that are able to address critical questions associated with tumor initiation; angiogenesis and vascular tumor growth; and the new frontier of computer-aided, patient-specific cancer evaluation and treatment.

Original languageEnglish (US)
Pages (from-to)840-856
Number of pages17
JournalAmerican Mathematical Monthly
Volume121
Issue number9
DOIs
StatePublished - Nov 1 2014
Externally publishedYes

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Oncology
Tumor Growth
Cancer
Angiogenesis
Metastasis
Computational Modeling
Mathematical Modeling
Tumor
Mutation
Evaluation
Acquisition
Trends

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Mathematical oncology : Using mathematics to enable cancer discoveries. / Jackson, Trachette; Komarova, Natalia; Swanson, Kristin.

In: American Mathematical Monthly, Vol. 121, No. 9, 01.11.2014, p. 840-856.

Research output: Contribution to journalArticle

Jackson, Trachette ; Komarova, Natalia ; Swanson, Kristin. / Mathematical oncology : Using mathematics to enable cancer discoveries. In: American Mathematical Monthly. 2014 ; Vol. 121, No. 9. pp. 840-856.
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