ABSTRACT
In the field of bio-medicine, tools of the system approach are commonly employed to develop derivations of analytical solutions of the mathematical models which are most frequently used in the given field, i.e. the deterministic linear compartment models, for commonly utilized inputs. In practice, however, usually only analytical solutions of these models obtained for single inputs in the form of the Dirac delta function are fitted to measured time profiles, using non-linear regression methods. In contract to this, in our study we present the utilization of tools of the system approach for building mathematical models that provide either phenomenological or mechanism-based mathematical descriptions of dynamical processes under study. The main advantage of the use of the modeling methods based on the system approach over the classic modeling methods in the field of bio-medicine is the fact that the former methods allow the development mathematical models of various dynamical processes represented by dynamical systems in a methodically, conceptually, and computationally unified way.
