S-System Analysis of Biological Systems

For a long time, the major goal of biological and medical research was a more and more detailed analysis of the elementary parts of an organism. Now, in some of the simpler organisms like Escherichia coli, a very large number of proteins (Bloch et al., 1980) and many other compounds are known and the question arises how these elements work and interact in an integrated system. On a theoretical level, the first approach in answering this question has been a linear systems analysis that is based on the multitude of simple but powerful methods of linear mathematics. However, biological and medical phenomena often are quite nonlinear, and in most cases their underlying processes cannot simply be studied separately and then superimposed again, because these processes may influence each other. That is, a biological system as a whole frequently reacts differently than the sun of all its components. Such a system is called “cooperative” (if you like Latin) or “synergistic” (if you prefer Greek).

[1]  Michael A. Savageau,et al.  Growth equations: A general equation and a survey of special cases , 1980 .

[2]  M. A. Savageau,et al.  A Suprasystem of Probability Distributions , 1982 .

[3]  F. Neidhardt,et al.  Protein identifications of O'Farrell two-dimensional gels: locations of 81 Escherichia coli proteins , 1980, Journal of bacteriology.

[4]  R. Smith,et al.  Ecology and Field Biology , 1966 .

[5]  Eberhard O. Voit,et al.  Power-Low Approach to Modelng Biological Systems : III. Methods of Analysis , 1982 .

[6]  Eberhard O. Voit,et al.  Power-Low Approach to Modeling Biological Systems : II. Application to Ethanol Production , 1982 .

[7]  M A Savageau,et al.  Growth of complex systems can be related to the properties of their underlying determinants. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[8]  S. S. Lee,et al.  Repeated fed-batch rapid fermentation using yeast cells and activated carbon extraction system , 1982 .

[9]  M A Savageau Allometric morphogenesis of complex systems: Derivation of the basic equations from first principles. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[10]  C C Travis,et al.  Epidemic models with spatial spread due to population migration , 1983, Journal of mathematical biology.

[11]  M. Savageau Biochemical Systems Analysis: A Study of Function and Design in Molecular Biology , 1976 .

[12]  H J Bremermann,et al.  Parasites at the origin of life , 1983, Journal of mathematical biology.

[13]  Eberhard O. Voit,et al.  Power-Law Approach to Modeling Biological Systems : I. Theory , 1982 .

[14]  Ralf-Dieter Hilgers,et al.  On the WILCOXON-MANN-WHITNEY-Test as Nonparametric Analogue and Extension of t-Test , 1982 .

[15]  Eberhard O. Voit,et al.  Analytical Solutions to a Generalized Growth Equation , 1984 .