Abstract:  In order to solve the problem of the synchronization of the biological mathematical model of muscular
blood vessel, the tracking control method is used for the first time,constructing a proper chaotic synchronization
controller by the Lyapunov stability theory, making the drive-response system achieve synchronization effect in
the global scope,and the simulation experiment was carried out for the drive-response system. Experimental
results show that the synchronization error of the system gradually converge to zero, and it can make the blood
vessels under the spasticity and normal blood vessels achieve synchronous motion by the control system, and the
effectiveness of the control method is proved, providing a theoretical basis for the treatment for the disease of
vasospasm.

Key words: tracking control, chaotic synchronization,  muscular blood vessel, vasospasm