Numerical Realization Algorithms for Mathematical Models

Abstract

Mathematical models of immune response we have considered are formulated in the form of systems of delay-differential equations. The use of a given class of differential equations is connected with the necessity of description of delay in the formation of cytotoxic T-lymphocytes and plasma cell clones after antigen stimulation. The treatment of the parameter identification and optimal control problem implies the construction of effective methods for the solution of the initial value problem (IVP) with the required accuracy for delay-differential equations (DDE).