Mathematical description of aging and mortality is presented. A review of tendencies in modeling is discussed and some difficulties related to adequacy and the ways of information presentation in the models are talked about. A short view is given at the two main modeling techniques in biology, namely the models of data and models of a system. Strategic perspectives of modeling in biogerontology are presented in terms of modeling paradigms. One can speak about a general paradigm consisting of postulates, principles and techniques related to a model, which allows a solving different problems with the same model, if the model can be modified to treat the variety of problems. Modification is to be done in the framework of concepts of the model by using a sum of the methods related to it. It is shown how the homeostatic paradigm can be used to predict a specific human longevity.
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