Periodicity in generations of automata

M. A. Arbib, Automata theory and development: Part I,J. Theoret. Biol. 14 (1967), 131–156.

M. A. Arbib, Self-reproducing automata—some implications for theoretical biology, inTowards a Theoretical Biology, II, C. H. Waddington, Ed., Aldine Publishing Company, Chicago, 1969, pp. 204–226.

M. A. Arbib,Theories of Abstract Automata, Prentice-Hall, Englewood Cliffs, N.J., 1969.

F. W. Baker andG. T. Herman, Simulation of organisms using a developmental model, Parts I and II,Int. J. Biomed. Comp., to appear.

E. R. Banks, Information processing and transmission in cellular automata, MAC TR-81, MIT, 1970.

A. W. Burks, Ed.,Essays on Cellular Automata, University of Illinois Press, Urbana, Ill., 1970.

J. Case, A note on degrees of self-describing Turing machines,J. Assoc. Comput. Mach. 18 (1971), 329–338.

E. F. Codd,Cellular Automata, Academic Press, New York, 1968.

G. T. Herman, The computing ability of a developmental model for filamentous organisms,J. Theoret. Biol. 25 (1970), 421–424.

G. T. Herman, Models for cellular interactions in development without polarity of individual cells, Parts I and II,Int. J. Systems Sci., to appear.

N. M. Jessop,Biosphere: A Study of Life, Prentice-Hall, Englewood Cliffs, N.J., 1970.

L. A. Laing, Asexual and sexual reproduction expressed in the von Neumann cellular system, T.R. 01251-3-T, University of Michigan, Ann Arbor, 1970.

C. Y. Lee, A Turing machine which prints its own code script,Proc. Symp. on the Mathematical Theory of Automata, Polytechnic Press, Brooklyn, N.Y., 1963, pp. 155–164.

A. Lindenmayer, Developmental systems without cellular interactions, their languages and grammars,J. Theoret. Biol. 30 (1971), 455–484.

A. Lindenmayer, Mathematical models for cellular interactions in development, Parts I and II,J. Theoret. Biol. 18 (1968), 280–315.

J. Myhill, Abstract theory of self-reproduction, inViews on General Systems Theory, M. D. Mesarović, Ed., Wiley, New York, 1964, pp. 106–118.

H. H. Pattee, Physical problems of heredity and evolution, inTowards a Theoretical Biology, II, C. H. Waddington, Ed., Aldine Publishing Company, Chicago, 1969, pp. 204–226.

H. H. Pattee, Physical theories, automata, and the origin of life, inNatural Automata and Useful Simulations, H. H. Pattee, et al., Eds. Macmillan, London, 1956.

H. Rogers, Jr.,Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York, 1967.

O. A. Schjeide andJ. de Vellis, Eds.,Cellular Differentiation, Van Nostrand-Reinhold, New York, 1970.

J. M. Smith, What use is sex,J. Theoret. Biol. 30 (1971), 319–335.

J. M. Thatcher, The construction of a self-describing Turing machine, inProc. Symp. on the Mathematical Theory of Automata, Polytechnic Press, Brooklyn, N.Y., 1963, pp. 165–171.

R. Tsanev andBl. Sendov, Possible molecular mechanism for cell differentiation in multicellular organisms,J. Theoret. Biol. 30 (1971), 337–393.

A. M. Turing, The chemical basis of morphogenesis,Phil. Trans. Royal Soc. London, Ser. B,237 (1953), 37–72.

D. van Dalen, A note on some systems of Lindenmayer,Math. Systems Theory 5 (1971), 128–140.

P. M. B. Vitányi, Sexually reproducing cellular automata, (unpublished).

J. von Neumann,Theory of Self-Reproducing Automata (edited and completed by A. W. Burks), University of Illinois Press, Urbana, Ill., 1966.

J. D. Watson,Molecular Biology of the Gene, W. A. Benjamin, New York, 1965.

E. P. Wigner, The probability of the existence of a self-reproducing unit, inThe Logic of Personal Knowledge: Essays Presented to Michael Polanyi, The Free Press, Glencoe, Ill., 1961, pp. 231–238.