Stochastic Information Processing in Biological Systems II — Statistics, Dynamics, and Phase Transitions

We discuss the use of probabilistic automata and networks of probabilistic automata as a framework for modeling biological information processing and explore several consequences. In particular, we use the Ising model and recurrence in Brownian motion to argue that the brain uses its two-dimensional surface for primary data access, and consider biological attacks on polynomial-time, and nondeterministic polynomial-time problems, My talk and this paper form a continuation of joint work with Richard Pekelney (Hastings and Pekelney,1982).

[1]  Roland Heim,et al.  Theoretical Approaches to Complex Systems , 1978 .

[2]  M. Arbib.  Brains, Machines, and Mathematics , 1987, Springer US.

[3]  John Maynard Smith,et al.  Natural Selection and the Concept of a Protein Space , 1970, Nature.

[4]  B. McCoy,et al.  The Two-Dimensional Ising Model , 1973 .

[5]  M. Conrad.  Evolutionary learning circuits. , 1974, Journal of theoretical biology.

[6]  L. Trainor,et al.  Structure and function in biological hierarchies: an Ising model approach. , 1980, Journal of theoretical biology.

[7]  Azaria Paz,et al.  Introduction to Probabilistic Automata , 1971 .

[8]  Hans J. Bremermann,et al.  Complexity of Automata, Brains, and Behavior , 1974 .

[9]  H M Hastings,et al.  Stochastic information processing biological systems. , 1982, Bio Systems.

[10]  Robert F. Schmidt,et al.  Fundamentals of Neurophysiology , 1978, Springer Study Edition.

[11]  K. Leibovic.  Information Processing in The Nervous System , 1969, Springer Berlin Heidelberg.

[12]  R. Lewin.  Is your brain really necessary? , 1980, Science.

[13]  M. L. Tsetlin,et al.  Automaton theory and modeling of biological systems , 1973 .

[14]  M Conrad,et al.  Molecular information structures in the brain , 1976, Journal of neuroscience research.

[15]  Rufus Bowen,et al.  On axiom A diffeomorphisms , 1975 .

[16]  J. G. Taylor,et al.  Neural Networks and the Brain , 1974 .

[17]  Arthur W. Burks,et al.  Essays on cellular automata , 1970 .

[18]  R Lewin,et al.  Evolutionary theory under fire. , 1980, Science.

[19]  H. Noda.  Probability of life. Rareness of realization in evolution. , 1982, Journal of theoretical biology.

[20]  Mario Dal Cin,et al.  Physics and Mathematics of the Nervous System , 1975 .