Skip to main content

Kinematic and Tessellation Models Of Self-Repair

  • Chapter
Book cover Biological Prototypes and Synthetic Systems

Abstract

One of the causes of the great survival capability of some biological systems is the fact that they are systems of individuals such that the system behavior does not critically depend on any one individual. Such systems can be regarded as redundant systems with different kinds and levels of redundancy. For example, although each specimen of a biological society has a limited lifespan, the whole society can exist for a much longer time. This is primarily due to self-reproduction, one form of redundancy. On a lower level, the lifespan of a specimen can be larger than the lifespan of parts of the specimen. Again this is due to redundancy, but of another form if the specimen is required to have a definite internal structure.

Sponsored by Information Systems Branch, Mathematical Science Division, Office of Naval Research.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bohm, D. 1957. A proposed explanation of quantum theory in terms of hidden variables at a sub-quantum-mechanical level. Observation and interpretation; a symposium of philosophers and physicists. Butterworths Publications Ltd., London.

    Google Scholar 

  • Jacobson, H. 1958. On models of reproduction. Am. Sci. 46, 3, 255.

    Google Scholar 

  • Lofgren, L. 1956. Automata of high complexity and methods of increasing their reliability by redundancy. Actes du Premier Congres International de Cybernetique, Namur, 26–29 June 1956, Gauthier-Villars, Paris, 1958, p. 493. Also published in Information and Control 1, 2, 127, 1958.

    Google Scholar 

  • Lofgren, L. 1961. A theory of uniform switching nets. Tech. Report No. 2, National Science Foundation Grant 17414, Electrical Engineering Research Laboratory, University of Illinois, Urbana, Illinois. Also presented under the title “The structures of switching nets” at the Fifth Midwest Symposium on Circuit Theory, University of Illinois, May 1961.

    Google Scholar 

  • Lofgren, L. 1962. Self-repair as the limit for automatic error correction. Proc. symposium on the principles of self-organization. University of Illinois, June 8–9, 1960. Pergamon Press, London.

    Google Scholar 

  • McCulloch, W. 1958. Agathe Tyche of nervous nets—the lucky reckoners. National Physical Laboratory Symposium on the Mechanization of Thought Processes. Teddington, England, 2, 611.

    Google Scholar 

  • Moore, E. 1961. Machine models of self-reproduction. Symposium on Mathematical Problems in the Biological Sciences, New York, 1961.

    Google Scholar 

  • Moore, E. and Shannon, C. 1956. Reliable circuits using less reliable relays. J. Franklin Inst. 262, 191; Part II, 262, 281.

    Article  Google Scholar 

  • Muller, D. and Bartky, S. 1959. A theory of asynchronous circuits. Proc. International Symposium on the Theory of Switching. Harvard Univ. Press.

    Google Scholar 

  • Penrose, L. 1959. Automatic mechanical self-reproduction. New Biology, No. 28 (January 1959 ), Harmonds-worth, England: Penguin Books, p. 92.

    Google Scholar 

  • Rosen, R. 1959. On a logical paradox implicit in the notion of a self-reproducing automaton. Bull. Math. Biophys. 21, 387.

    Article  Google Scholar 

  • Shannon, C. 1948. A mathematical theory of communication. Bell Syst. Tech. J. 27, 379.

    Google Scholar 

  • Turing, A. 1936. On computable numbers with an application to the Entscheidungs-problem. Proc. London Math. Soc. 42, 230.

    Google Scholar 

  • von Neumann, J. 1951. The general and logical theory of automata. In: Jeffress, L. [ed.], Cerebral mechanisms in behavior. John Wiley & Sons, Inc.

    Google Scholar 

  • von Neumann, J. 1956. Probabilistic logics and the synthesis of reliable organisms from unreliable components. In: Shannon, C. and McCarthy, J. [ed.], Automata studies. Princeton Univ. Press, Princeton, New Jersey.

    Google Scholar 

  • von Neumann, J. The theory of automata: construction, reproduction, and homogeneity. Uncompleted typescript of three chapters (nd, circa 1952) to be edited by A. Burks for publication by Univ. of Illinois Press.

    Google Scholar 

  • Wachtmeister, C.G. 1961. Tiden och Livsprocesserna (The time and the processes of life), Svenska Dagbladet, July 9, 1961 (understreckare).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1962 Plenum Press, Inc.

About this chapter

Cite this chapter

Lofgren, L. (1962). Kinematic and Tessellation Models Of Self-Repair. In: Bernard, E.E., Kare, M.R. (eds) Biological Prototypes and Synthetic Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1716-6_44

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-1716-6_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-1718-0

  • Online ISBN: 978-1-4684-1716-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics