
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.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
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
APA
Chicago
ICMJE
MLA
NLM
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.

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