Prescriptive relational biology and bacterial chemotaxis.

Abstract The biological notion of adaptation (to surviving in a given environment) has a predictive and even prescriptive power in the special case of “positional adaptation”—in environments showing a non-uniform distribution of survival-effective factors. Resulting is a well-posed optimality problem which defines the necessary performance of locomotion-control systems. The simplest case (“soft” survival functional in space) is considered in some detail. The least complex solution (in terms of algorithm plus hardware plus periphery) already yielding an appreciable effect is derived in a self-consistent heuristic way. It is apparently identical with the blueprint of the locomotion-control system of certain bacteria. The optimization algorithm involved is the “local Bremermann algorithm”.

[1]  D Davenport,et al.  Simulation of simple models of animal behavior with a digital computer. , 1969, Journal of theoretical biology.

[2]  H. Berg,et al.  Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking , 1972, Nature.

[3]  J. Adler Chemotaxis in Bacteria , 1966, Science.

[4]  J. Adler,et al.  Chemoreceptors in bacteria. , 1969, Science.

[5]  N. Rashevsky Topology and life: In search of general mathematical principles in biology and sociology , 1954 .

[6]  R. Rosen PLANNING, MANAGEMENT, POLICIES AND STRATEGIES: Four Fuzzy Concepts† , 1974 .

[7]  D. L. GUNN,et al.  Classification of Taxes and Kineses , 1937, Nature.

[8]  H. Berg How to track bacteria. , 1971, The Review of scientific instruments.

[9]  D. E. Koshland Chemotaxis as a model for sensory systems , 1974, FEBS letters.

[10]  D E Koshland,et al.  Common Mechanism for Repellents and Attractants in Bacterial Chemotaxis , 1973, Science.

[11]  H. Bremermann Chemotaxis and optimization , 1974 .

[12]  M. C. Chang,et al.  Effect of Prostaglandin F2α on the Early Pregnancy of Rabbits , 1972, Nature.

[13]  Otto E. Rössler,et al.  Design for Autonomous Chemical Growth under Different Environmental Constraints , 1972 .

[14]  J. Adler,et al.  "Decision"-Making in Bacteria: Chemotactic Response of Escherichia coli to Conflicting Stimuli , 1974, Science.

[15]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[16]  Robert Rosen,et al.  A note on abstract relational biologies , 1962 .

[17]  R Rosen On the relation between structural and functional descriptions of biological systems. , 1972, The International journal of neuroscience.

[18]  Robert Rosen,et al.  A relational theory of biological systems II , 1958 .

[19]  C. Patlak,et al.  A mathematical contribution to the study of orientation of organisms , 1953 .

[20]  M. Delbrück Signal transducers: terra incognita of molecular biology. , 1972, Angewandte Chemie.

[21]  C. Patlak Random walk with persistence and external bias , 1953 .

[22]  H. Bremermann A method of unconstrained global optimization , 1970 .

[23]  H. Berg,et al.  Dynamic properties of bacterial flagellar motors , 1974, Nature.