Nonlinear Analysis And Control To A Class Of The Biomedical Model

Mathematical modeling in biomedical science has attracted more and more attention.The model of muscular blood vessel and the system of aneurysm of circle of Willis are nonlinear systems,which were built up only several years ago and have been developing day after day.They are related closely to biomedical meanings.First,we discuss the stability and chaos phenomena of the biomedical the model of muscular blood vessel and the system of aneurysm of circle of Willis.Then, considering the biomathematical model of muscular blood vessel including disturbing term,we apply impulsive synchronization control method based on T-S fuzzy model to study the model of muscular blood vessel,the sufficient conditions is derived.We design the fuzzy impulsive controller.The system will be made globally stable and two chaos systems will make to be chaos synchronized.From theory we can see that the vessel in spasticity can be controlled to the stable state or synchronize with normal blood vessel.At last,we study the synchronization biomathematical system of aneurysm of circle of Willis based on the property of the vessel stream of impulsive phenomenon(the blood vessel spasmodic).The method removed chaos of the system in theory and provided a proof for avoiding the aneurysm breaking.Simulation results indicate effectiveness of those methods.The above research theoretically has provided the significative reference information for the medicine diagnosis and the treatment.Meanwhile,it can offer certain basis for changing the function of muscular blood.From theory we can see that the vessel in spasticity can be controlled to the stable state or synchronize with normal blood vessel,which provides theory on preventiong and curing some disease.