title: Parameter estimation and optimal scheduling algorithm for a mathematical model of intermittent androgen suppression therapy for prostate cancer.
abstract: We propose an algorithm based on cross-entropy to determine parameters of a piecewise linear model, which describes intermittent androgen suppression therapy for prostate cancer. By comparing with clinical data, the parameter estimation for the switched system shows good fitting accuracy and efficiency. We further optimize switching time points for the piecewise linear model to obtain a feasible therapeutic schedule. The simulation results of therapeutic effect are superior to those of previous strategy.
authors.affiliation: Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China.
authors.forename: Qian
authors.initials: Q
authors.lastname: Guo
authors.affiliation: Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China.
authors.forename: Zhichang
authors.initials: Z
authors.lastname: Lu
authors.affiliation: Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan.
authors.forename: Yoshito
authors.initials: Y
authors.lastname: Hirata
authors.affiliation: Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan.
authors.forename: Kazuyuki
authors.initials: K
authors.lastname: Aihara
mesh_terms: D000465:Algorithms; D000728:Androgens / Q000627:therapeutic use*; D006801:Humans; D008297:Male; D008954:Models, Biological; D011471:Prostatic Neoplasms / Q000188:drug therapy*
chemical_list: D000728:Androgens