Title :
Dynamic analysis and control of cancer
Author :
Mohler, R.R. ; Lee, K.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
Abstract :
A knowledge-based mathematical model is proposed for the interaction between tumor cells and the immune system. Parametric control variables relevant to the latest experimental data, i.e. sigmoidal dose-response relationship and Michaelis-Menten dynamics, are also considered. A model is composed of 12-state, first-order, nonlinear differential equations based on the cellular kinetics. Each of the states can be modeled as bilinear. The preliminary results show that the parametric control variable is important in the destruction of tumors. In addition, the exacerbation theory is a good method for tumor control
Keywords :
biocontrol; physiological models; 12-state first-order equations; Michaelis-Menten dynamics; bilinear state; cellular kinetics; exacerbation theory; immune system; nonlinear differential equations; parametric control variables; sigmoidal dose-response relationship; tumor cells; tumour destruction; Cancer; Differential equations; Electric variables control; Immune system; Kinetic theory; Mathematical model; Medical treatment; Neoplasms; Nonlinear dynamical systems; Tumors;
Conference_Titel :
Engineering in Medicine and Biology Society, 1989. Images of the Twenty-First Century., Proceedings of the Annual International Conference of the IEEE Engineering in
Conference_Location :
Seattle, WA
DOI :
10.1109/IEMBS.1989.95718
