Abstract
The idea to be presented in the following — namely a relational approach to brain function — belongs to the class of so-called teleonomic (Pittendrigh, 1958) approaches in biology in which certain features and organizations are predicted as (more or less) necessary implications of a particular function which is known to be performed by the system to be analyzed.
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References
Ashby, W.R.: Design for a Brain, Chapman & Hall, London, 1952.
Bellmore, M. and Nemhauser, G.: The Traveling Salesman Problem: a Survey, Operations Res. 16, 538–558 (1968).
D’Arcy Thompson, W.: On Growth and Form. Rev. ed. Macmillan, New York, 1945.
Darwin, C.: On the Origin of Species by Means of Natural Selection, Joha Murray, London (1859).
Feller, W.: An Introduction to Probability Theory and its Applications,Wiley, New York, 3rd ed., 2 Vols., I 14, 41; II 159, 448–450 (1859).
Fraenkel, G.S. & D.S. Gunn: The Orientation of Animals, Claredon Press, Oxford (1961).
Hediger, H.: Studies of the Psychology and Behavior of Captive Animals in Zoos and Circuses, Butterworth, London (1955).
Holland, J.H.: Hierarchical Descriptions, Universal Spaces and Adaptive Systems. In: Essays on Cellular Automata, ed. by A.W. Burks, Urbana,. Chicago, London, University of Illinois Press, 320–353 (1970).
Lorenz, K.: Die Rückseite des Spiegels (The Other Side of the Mirror), Piper-Verlag, München, 1973.
Mittelstaedt, H.: Control Theory as a Methodic Tool in Behavior Analysis (in German), Naturwissenschaften 48, 246–254, p. 248 (1961).
Nilsson, N.J.: Problem-solving Methods in Artificial Intelligence, McGraw-Hill, New York, 1971.
Pittendrigh, C.S.: Perspective in the Study of Biological Clocks. In: Perspectives in Marine Biology, La Jolla, Calif., Scripps Institute of Oceanography, 1958.
Rashevsky, N.: Topology and Life: In Search of General Mathematical Principles in Biology and Sociology, Bull. Math. Biophys. 16, 317–348 (1954).
Rashevsky, N.: Mathematical Principles in Biology and their Applications, Thomas Publ., Springfield, I11., 1961.
Rashevsky, N.: Models and Mathematical Principles in Biology. In: Theoretical and Mathematical Biology, ed. by T.H. Waterman & H.J. Morowitz, Blackwell Publ. Co., New York, 36–53 (1965).
Rashevsky, N.: The Principle of Adequate Design. In: Foundations of Mathematical Biology, ed. by R. Rosen, Academic Press, New York, Vol. 3, 143–175 (1973).
Rechenberg, I.: Evolutionsstrategie, Optimierung technischer Systeme nach Prinzipien der biologischen Evolution, Friedrich Frommann-Verlag (Günter Holzboog K.G.), Stuttgart-Bad Cannstatt, 1973.
Rosen, R.: A Relational Theory of Biological Systems II. Bull, Math. Biophys. 21, 109–128 (1959).
Rosen, R.: Optimality Principles in Biology, Butterworth, London, 1967.
Rosen, R.: RelationaleBiology. Fortschritte der experimentellen und theoretischen Biophysik, VEB Georg Thieme, Leipzig, Vol. 15, 1972a.
Rosen, R.: Relations between Structural and Functional Descriptions of Biological Systems, Intern. J. Neurosci. 3 ,107–112 (1972b).
Rössler, O.E.: Design for Autonomous Chemical Growth under Different Environmental Constraints, Progr. Theor. Biol. 2 ,167–211 (1972).
Rössler, O.E.: A Synthetic Approach to Exotic Kinetics, with Examples, These Proceedings (1974a).
Rössler, O.E.: Chemical Automata in Homogeneous and Reaction-diffusion Kinetics, These Proceedings (1974b).
Schpolski, E.W.: Atomphysik, VEB Verlag der Wissenschaften, Berlin, Vol. 1 (Section 23 and Appendix), 1970.
Thom, R.: Topological Models in Biology. In: Towards a Theoretical Biology, ed. by C.H. Waddington, Edingburgh University Press, Edinburgh, Vol. 3, 89–116 (1970).
von Holst, E. and Mittelstaedt, H.: Das Reafferenzprinzip (The Reafference Principle), Naturwissenschaften 37, 464–479 (1950).
Zeeman, E.C.: Topology of the Brain (Mathematics and Computer Sciences - in Biology and Medicine), Medical Research Council, London, 1965.
Zeeman, E.C.: The Geometry of Catastrophe, Times Literary Supplement, 10th December 1971, 1556–1558 (1971).
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Rössler, O.E. (1974). Adequate Locomotion Strategies for an Abstract Organism in an Abstract Environment — A Relational Approach to Brain Function. In: Conrad, M., Güttinger, W., Dal Cin, M. (eds) Physics and Mathematics of the Nervous System. Lecture Notes in Biomathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80885-2_19
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DOI: https://doi.org/10.1007/978-3-642-80885-2_19
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