Mathematical models of tumor cell proliferation: A review of the literature

Angela M. Jarrett, Ernesto A.B.F. Lima, David A. Hormuth, Matthew T. McKenna, Xinzeng Feng, David A. Ekrut, Anna Claudia M. Resende, Amy Brock, Thomas E. Yankeelov

Research output: Contribution to journalReview article

3 Citations (Scopus)

Abstract

Introduction: A defining hallmark of cancer is aberrant cell proliferation. Efforts to understand the generative properties of cancer cells span all biological scales: from genetic deviations and alterations of metabolic pathways to physical stresses due to overcrowding, as well as the effects of therapeutics and the immune system. While these factors have long been studied in the laboratory, mathematical and computational techniques are being increasingly applied to help understand and forecast tumor growth and treatment response. Advantages of mathematical modeling of proliferation include the ability to simulate and predict the spatiotemporal development of tumors across multiple experimental scales. Central to proliferation modeling is the incorporation of available biological data and validation with experimental data. Areas covered: We present an overview of past and current mathematical strategies directed at understanding tumor cell proliferation. We identify areas for mathematical development as motivated by available experimental and clinical evidence, with a particular emphasis on emerging, non-invasive imaging technologies. Expert commentary: The data required to legitimize mathematical models are often difficult or (currently) impossible to obtain. We suggest areas for further investigation to establish mathematical models that more effectively utilize available data to make informed predictions on tumor cell proliferation.

Original languageEnglish (US)
Pages (from-to)1271-1286
Number of pages16
JournalExpert Review of Anticancer Therapy
Volume18
Issue number12
DOIs
StatePublished - Dec 2 2018

Fingerprint

Theoretical Models
Cell Proliferation
Neoplasms
Therapeutic Uses
Metabolic Networks and Pathways
Immune System
Technology
Growth

Keywords

  • Computational
  • biophysical
  • cancer
  • cell growth
  • oncology

ASJC Scopus subject areas

  • Oncology
  • Pharmacology (medical)

Cite this

Jarrett, A. M., Lima, E. A. B. F., Hormuth, D. A., McKenna, M. T., Feng, X., Ekrut, D. A., ... Yankeelov, T. E. (2018). Mathematical models of tumor cell proliferation: A review of the literature. Expert Review of Anticancer Therapy, 18(12), 1271-1286. https://doi.org/10.1080/14737140.2018.1527689

Mathematical models of tumor cell proliferation : A review of the literature. / Jarrett, Angela M.; Lima, Ernesto A.B.F.; Hormuth, David A.; McKenna, Matthew T.; Feng, Xinzeng; Ekrut, David A.; Resende, Anna Claudia M.; Brock, Amy; Yankeelov, Thomas E.

In: Expert Review of Anticancer Therapy, Vol. 18, No. 12, 02.12.2018, p. 1271-1286.

Research output: Contribution to journalReview article

Jarrett, AM, Lima, EABF, Hormuth, DA, McKenna, MT, Feng, X, Ekrut, DA, Resende, ACM, Brock, A & Yankeelov, TE 2018, 'Mathematical models of tumor cell proliferation: A review of the literature', Expert Review of Anticancer Therapy, vol. 18, no. 12, pp. 1271-1286. https://doi.org/10.1080/14737140.2018.1527689
Jarrett AM, Lima EABF, Hormuth DA, McKenna MT, Feng X, Ekrut DA et al. Mathematical models of tumor cell proliferation: A review of the literature. Expert Review of Anticancer Therapy. 2018 Dec 2;18(12):1271-1286. https://doi.org/10.1080/14737140.2018.1527689
Jarrett, Angela M. ; Lima, Ernesto A.B.F. ; Hormuth, David A. ; McKenna, Matthew T. ; Feng, Xinzeng ; Ekrut, David A. ; Resende, Anna Claudia M. ; Brock, Amy ; Yankeelov, Thomas E. / Mathematical models of tumor cell proliferation : A review of the literature. In: Expert Review of Anticancer Therapy. 2018 ; Vol. 18, No. 12. pp. 1271-1286.
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