DELAY SYSTEMS IN BIOLOGICAL MODELS: APPROXIMATION TECHNIQUES

Publisher Summary This chapter discusses approximation techniques for delay systems in biological models. Delay systems play an important role in the modeling of a number of biological systems. The chapter gives a brief indication of several areas where delay systems models appear to be very useful and perhaps even essential in some cases. Because of an increased use of delay system models in biological applications, recent literature has evidenced an interest by some investigators in approximation techniques. The chapter discusses some approximation ideas that are believed to be useful in the study of delay systems such as those currently under investigation in connection with several of the biomodels as well as in the study of more traditional delay systems models of dynamical systems arising in mechanical, physical, chemical, aerodynamical, etc., modeling projects. The chapter describes protein synthesis models. It also discusses respiratory–circulatory models, ecological models, and population and epidemic models.