Author(s): L. G. Hanin
Journal: Discrete Dynamics in Nature and Society
ISSN 1026-0226
Volume: 7;
Issue: 3;
Start page: 177;
Date: 2002;
Original page
Keywords: Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
ABSTRACT
A general framework for solving identification problem for a broad class of deterministic and stochastic models is discussed. This methodology allows for a unified approach to studying identifiability of various stochastic models arising in biology and medicine including models of spontaneous and induced Carcinogenesis, tumor progression and detection, and randomized hit and target models of irradiated cell survival. A variety of known results on parameter identification for stochastic models is reviewed and several new results are presented with an emphasis on rigorous mathematical development.
Journal: Discrete Dynamics in Nature and Society
ISSN 1026-0226
Volume: 7;
Issue: 3;
Start page: 177;
Date: 2002;
Original page
Keywords: Cancer detection; Carcinogenesis; Difference equation; Hazard function; Hit and target model of irradiated cell survival; Identification problem.
ABSTRACT
A general framework for solving identification problem for a broad class of deterministic and stochastic models is discussed. This methodology allows for a unified approach to studying identifiability of various stochastic models arising in biology and medicine including models of spontaneous and induced Carcinogenesis, tumor progression and detection, and randomized hit and target models of irradiated cell survival. A variety of known results on parameter identification for stochastic models is reviewed and several new results are presented with an emphasis on rigorous mathematical development.
