Abstract:
There are various methods for the treatment of Brain Tumor few of these are
Surgery, Chemotherapy, Radiation Therapy etc. Treatment methods of Brain
Tumors not only depend on the type of tumor but also on other factors like
age of patient, duration of tumor, size of tumor etc. For less severe tumors
i.e. Benign, sometimes applying surgery is suitable because these tumors are
small in size and have definite edges. While in case of a severe tumors i.e.
Malignant suggesting surgery won’t be a good option as these tumors don’t
have definite boundaries and are attached very closely with other sensitive
tissues of brain. Also, when the patient is a child it is suggested to go with
an option other than surgery. In this research Non Linear Techniques have
been applied by using Chemotherapy Treatment method on a Brain Tumor
model.
The main objective of the thesis is to design a controller for the therapeutic agent in order to minimize the tumor cells, maintain a safe amount of
healthy cells and ensure suitable amount of drug during the therapy process.
Three nonlinear controllers have been designed for this purpose; 1) Synergetic
Controller 2) Backstepping Controller 3) Lyapunov Redesign. The nonlinear controllers use Lyapunov based stability theory to analyze the system’s
asymptotic stability and convergence of the tumor cells to their desired reference. The simulations have been performed in Matlab / Simulink and the
results show that this therapy is effective enough to reduce the tumor cells to
zero while a safe amount of healthy cells has been retained using minimum
amount of therapeutic agent.
