Quasilinearization in biological systems modeling

Abstract

The estimation of parameters in differential equations is a basic problem in biological systems modeling. However, these parameters cannot be estimated easily when the equations are too complicated and cannot be solved in closed form. Although Dr. Bellman has proposed to use quasilinearization to solve this problem, more numerical experiments are needed to show the effectiveness of this approach. In this paper, quasilinearization is used to estimate the parameters in various biological nodels. It is shown that this approach is quite effective and converges very fast in most situations. Thus, the quadratic convergence property is preserved.