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Activity Number: 242 - Contributed Poster Presentations: Biometrics
Type: Contributed
Date/Time: Monday, July 31, 2017 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract #324297
Title: Induced Tumor Growth in Rats: Modeling and Estimation
Author(s): Charles Smith* and Henry Tuckwell
Companies: North Carolina State Univ. and Monash University
Keywords: Tumor growth curves ; Stochastic processes ; Cancer ; First passage time
Abstract:

In this paper we extend our early work on modelling tumor growth by stochastic differential equations. Parameter estimation for the nonlinear Gompertzian growth differential equation is done by maximum likelihood. Other estimation methods and frameworks are also considered such as growth curve analysis and functional regression on the growth curves. The data used are from DMBA induced tumors in Sprague Dawley rats. Two groups are examined: those with initial size of 63 mg and those of 108 mg. This provides a validation method for comparing the parameter estimates on one groups in the prediction of the growth curves for the other initial size group. Another aspect involves using early growth data for parameter estimation and then predicting the first passage time to a large or lethal size.


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