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Estimating Tumor Growth Rates In Vivo.

Publication ,  Journal Article
Talkington, A; Durrett, R
Published in: Bulletin of mathematical biology
October 2015

In this paper, we develop methods for inferring tumor growth rates from the observation of tumor volumes at two time points. We fit power law, exponential, Gompertz, and Spratt’s generalized logistic model to five data sets. Though the data sets are small and there are biases due to the way the samples were ascertained, there is a clear sign of exponential growth for the breast and liver cancers, and a 2/3’s power law (surface growth) for the two neurological cancers.

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Published In

Bulletin of mathematical biology

DOI

EISSN

1522-9602

ISSN

0092-8240

Publication Date

October 2015

Volume

77

Issue

10

Start / End Page

1934 / 1954

Related Subject Headings

  • Nervous System Neoplasms
  • Neoplasms
  • Models, Biological
  • Mathematical Concepts
  • Logistic Models
  • Liver Neoplasms
  • Humans
  • Female
  • Breast Neoplasms
  • Bioinformatics
 

Citation

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Talkington, A., & Durrett, R. (2015). Estimating Tumor Growth Rates In Vivo. Bulletin of Mathematical Biology, 77(10), 1934–1954. https://doi.org/10.1007/s11538-015-0110-8
Talkington, Anne, and Rick Durrett. “Estimating Tumor Growth Rates In Vivo.Bulletin of Mathematical Biology 77, no. 10 (October 2015): 1934–54. https://doi.org/10.1007/s11538-015-0110-8.
Talkington A, Durrett R. Estimating Tumor Growth Rates In Vivo. Bulletin of mathematical biology. 2015 Oct;77(10):1934–54.
Talkington, Anne, and Rick Durrett. “Estimating Tumor Growth Rates In Vivo.Bulletin of Mathematical Biology, vol. 77, no. 10, Oct. 2015, pp. 1934–54. Epmc, doi:10.1007/s11538-015-0110-8.
Talkington A, Durrett R. Estimating Tumor Growth Rates In Vivo. Bulletin of mathematical biology. 2015 Oct;77(10):1934–1954.
Journal cover image

Published In

Bulletin of mathematical biology

DOI

EISSN

1522-9602

ISSN

0092-8240

Publication Date

October 2015

Volume

77

Issue

10

Start / End Page

1934 / 1954

Related Subject Headings

  • Nervous System Neoplasms
  • Neoplasms
  • Models, Biological
  • Mathematical Concepts
  • Logistic Models
  • Liver Neoplasms
  • Humans
  • Female
  • Breast Neoplasms
  • Bioinformatics