Titlebook: Mathematical Modelling of Immune Response in Infectious Diseases; Guri I. Marchuk Book 1997 Springer Science+Business Media Dordrecht 1997

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Simple Mathematical Model of Infectious Disease of observations. It is also possible that some results of the theory will be used for finding effective methods of treatment. Finally, it should be noted that we shall try to construct a model averaged over a large group of patients. We shall not consider the question of description of individual characteristics of disease dynamics.

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Numerical Realization Algorithms for Mathematical Modelses 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).

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es of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism‘s defence against antigen invasions. The results presented in this monograph are based on the construc­ tion and application of closed models of immune response to infections

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Mathematical Modeling of Antiviral and Antibacterial Immune Responses cytotoxic action of .-lymphocytes against infected cells has been used as the main point of the model that describes pathological changes in an organism. The destruction of an organism’s cells is the essential mechanism of recovery from infection. As for a viral population which gets into lymph and

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Identification of Parameters of Modelsor the most complex processes that are modeled with a computer. All mathematical problems, as a rule, reflect so-called balance relationships written either in algebraic form or in the form of differential, integral, or integro-differential equations. These equations represent an adequate mapping of

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Numerical Realization Algorithms for Mathematical Modelsass of differential equations is connected with the necessity of description of delay in the formation of cytotoxic .-lymphocytes and plasma cell clones after antigen stimulation. The treatment of the parameter identification and optimal control problem implies the construction of effective methods