×

Numerical stability of interactive biological units. (English) Zbl 0797.92001

Within the theory of biological organization, the concept of functional interaction has been introduced to describe the nonsymmetric influence of a structural unit on another, and also, to combine these functional interactions for defining the hierarchical functional organization of biological systems.
There are two hypotheses on which the above theory is based, i.e. the mechanism of self-association creates the functional interactions and the maximum of the potential of organization from which the hierarchy of the system originates.
A biological system actually constitutes a combination of these functional interactions, which are physically represented by the propagation of the signal from the source to the sink, and a transformation in the sink. A functional interaction is characterized by non-symmetry, non-locality and non-instantaneity.
After such presentation, there follows a sub-chapter, entitled “Modeling of time-dependent biological systems”, discussing notions such as hierarchical organization (biochemical pathways and epigenetic systems) and dynamics of the complexified systems, and another one, “Modeling of time-space dependent biological systems”, devoted to simplified physiological descriptions. Finally, the numerical solutions obtained are also presented.
Reviewer: C. Cusmir (Iaşi)

MSC:

92B05 General biology and biomathematics
65L99 Numerical methods for ordinary differential equations
34A99 General theory for ordinary differential equations
PDFBibTeX XMLCite