Classical Mathematical Models for Description and Prediction of Experimental Tumor Growth
Tufts University · Centre Inria de l'université de Bordeaux · +2 more institutions
Abstract
Despite internal complexity, tumor growth kinetics follow relatively simple laws that can be expressed as mathematical models. To explore this further, quantitative analysis of the most classical of these were performed. The models were assessed against data from two in vivo experimental systems: an ectopic syngeneic tumor (Lewis lung carcinoma) and an orthotopically xenografted human breast carcinoma. The goals were threefold: 1) to determine a statistical model for description of the measurement error, 2) to establish the descriptive power of each model, using several goodness-of-fit metrics and a study of parametric identifiability, and 3) to assess the models' ability to forecast future tumor growth. The…
Citation impact
- FWCI
- 21.48
- Percentile
- 100%
- References
- 82
Authors
7- SBSébastien BenzekryCorresponding
Tufts University, Centre Inria de l'université de Bordeaux, Institut de Mathématiques de Bordeaux
- CLClare Lamont
Tufts University
- ABAfshin Beheshti
Tufts University
- ATAmanda Tracz
Roswell Park Comprehensive Cancer Center
- JMJohn M.L. Ebos
Roswell Park Comprehensive Cancer Center
Topics & keywords
- Gompertz function
- Context (archaeology)
- Identifiability
- Goodness of fit
- Mathematics
- Statistical model
- Parametric statistics
- Statistics