Article collection "Mathematical Problems of Cybernetics" ¹10, Moscow, 2001

Authors:Regirer S.A.

Biologic processes mathematical modeling and
biomechanics

Abstract:

The article is based on a talk given by the author
at the conference «Life science on the threshold of
the 21st century» on October 26, 1999 at Moscow
state university and contains a review of the ways
mathematical modeling of biological processes is
used in biomechanics. The present review gives
special attention to the problems a researcher may
and should consider and the goals to set when
constructing a model. We provide a thorough
description of model creation with the following
goals: constructing a descriptive language; studying
the process mechanics; studying what and why happens
in experiments; defining what is to be measured;
computing values that cannot be measured; defining
what exactly is measured in medical diagnostic
procedures; studying what happens during healing
procedures; numerical verification of a hypothesis;
predicting the consequences of an adopted
hypothesis.
We also consider examples of how incorrect goal
setting of a distortion of the biological process
understanding may lead to the impossibility of using
the constructed model in practice.