TY  - JOUR
T1  - The New Approach of Complex Control Law on Immunological System
AU - Yermekbayeva, Janar J. AU - Myrzakul, Tolkynay 
JO  - The Social Sciences
VL  - 10
IS  - 6
SP  - 1177
EP  - 1182
PY  - 2015
DA  - 2001/08/19
SN  - 1818-5800
DO  - sscience.2015.1177.1182
UR  - https://makhillpublications.co/view-article.php?doi=sscience.2015.1177.1182
KW  - Control theory
KW  -theory of catastrophe
KW  -structurally-steady mapping
KW  -lyapunov function
KW  -mathematical modeling
KW  -immune system
KW  -HIFU therapy
AB  - In this study, we investigate a new mathematical models and approach of the control of tumors in organism. We consider the Immunological Model for the population dynamics of cells with control-factors representing the influence on the disease. We analysed the impact of the “D-factor” on the steady states and their stability and determine a control value. In these models, we studied the “D-factor” in “Umbilical” from catastrophe theory to impose control on tumor growth. By adjusting parameters, the models shows stationary states at which the immune system is stabilized and the number of tumor cells is either driven to zero or remains constant. Numerical simulations are carried out to confirm the theoretical findings to investigate the impact of the control parameters on the dynamic of the disease. The offered results can be used at theoretical studies for stabilization immune system at predicted level. These results are particularly relevant as new method in mathematical modeling and their applied views and for the prevention and early diagnostics of cancer and health improvement.
ER  -