Stahl67 bmp

Stahl67 bmp



The Role of Models in Theoretical Biology1

Walter R. Stahl

Department oj Biometrics, Oregon Regional Primate Research Center, Bearerton, Oregon and Department of Mathematics, Oregon State Unioersity, Coroallis, Oregon

I.    Models of Biological Systems.....166

General References on Biological Modeling .    167

II.    Mathematical Modeling Theory ....    169

A.    Similarity Criteria for Physical Analogs    .    169

B.    Objectiye Modeling Criteria ....    171

C.    Mathematical Naturę of Modeling Invariants 174

III.    Physical Analogs of Organisms ....    175

A.    Cardiovascular System Analogs .    176

B.    Respiratory Analogs......178

C.    Electrical Analog Models ....    179

D.    Chemical and Moleculai Analog    180

E.    Agronomie and Ecological Analogs    181

IV.    Artificial Organs........182

A.    Heart-Lung Machines.....182

B.    Artificial Kidney......184

C.    Miscellaneous Artificial Analogs of Biological

Systems........185

V. Numerical and Kinetic Models ....    186

A.    Numerical Kinetics Simulation    186

B.    Metabolic and Compartment Models    187

C.    Enzyme and Cellular Kinetics Models    .    188

D.    Numerical Genetics Simulation    .    189

E.    Stochastic Models......190

F.    Numerical Models in Ecology    191

G.    Interpretations of Numerical Kinetic Models 192

165

1

Publication No. 226 of the Oregon Regional Primate Research Center, supported in part by Grant FR 00163 of the National Institutes of Health and NIH Grant GM 13605-01.


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