Stahl67 bmp

WALTER R. STAHL

VI. Cybemetic Models.......

VII. Simulation of Physiological Regulation

A.    Cardiovascular Control Models

B.    Respiratory Control Models ....

C.    Metabolic Control Models ....

D.    Thermal Regulation......

VIII. Neurophysiological Models.....

A.    Models of Neurons and Nerve Fibers

B. Artificial Nerve Networks    ....

C.    Visual System Models.....

IX. Artificial Intelligence and Algorithmic Models of

Thought.........

A.    Turing’s Test and Artificial Intelligence.

B.    Mathematical Leaming Models

X. Self-Organizing Systems and Bionics

A.    Self-Organizing System Models

B.    Modeling of Self-Reproduction

XI. Abstract and Axiomatic Models    ....

Biological Axiomatics......

XII. The Role of Biological Modeling ....

A.    Validity of the Model.....

B.    Modeling and Theoretical Biology

References........

I. Models of Biological Systems

The construction of actual and mathematical or Computer models w an increasingly important tool of theoretical biology. Many dozens of works pertaining to biological modeling and simulation are publishe<ł^; annually. They may deal with physical function of the cardiovascular system, regulation of blood pressure or respiration, stochastic leaming, genetic selection, membranę transport, or molecular feedback control in cells. Nearly all these studies fali properly into the domain of theoretical biology.

An attempt will be madę to provide a generał integrated conceptual framework for comparing models of biological systems with their real counterparts. Dimensionless numbers, used for analysis of physical: models or analogs, are discussed as an example of objective “similarity criteria” which indicate when a model can provide valid new information, The concept of mathematical or computational similarity criteria is thett extended to include any set of specific rules (algorithm) which defines A. certain class of related systems (models). A table of types of differeofc models and their associated invariant properties is presented and make#

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