Skip to main content
SpringerLink
Log in

Representations of (M, R)-systems by categories of automata

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

Arbib in a paper entitled ‘Categories of (M, R)-Systems' represents both simple (M, R)-systems and those with varying genome as subcategories of the category of automata. An alternative characterisation of general (M, R)-systems as automata is proposed and two theorems on (M, R)-automata are proved. The two categories of automata, namely Arbib in a paper entilled ‘Categories of (M,R)-Systems’ represents both simple (M, R)-systems with variable genetic structure, are compared.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Arbib, M. A. 1966. “Categories of (M, R)-systems.”Bull. Math. Biophys. 28, 511–517.

    MATH  Google Scholar 

  • Baianu, I. C. 1973, “Some algebraic properties of (M, R)-systems.”Bull. Math. Biol. 35, 213–217.

    Article  MATH  MathSciNet  Google Scholar 

  • — 1980. “Natural transformations of organismic structures.”Bull. Math. Biol. 42, 431–446.

    MATH  MathSciNet  Google Scholar 

  • — and M. Marinescu. 1974. “On a functorial construction of (M, R)-systems.”Rev. Roum. Math. Pures Appl. 19, 389–391.

    MATH  MathSciNet  Google Scholar 

  • Câzânescu, V. 1967. “On the category of abstract sequential automata.”Ann. Univ. Bucharest, Math. and Mechanics Series 16, 31–37.

    MATH  Google Scholar 

  • Demetrius, L. A. 1966. “Abstract biological systems as sequential machines: behavioural reversibility.”Bull. Math. Biophys. 28, 153–60.

    MATH  Google Scholar 

  • Glushkov, V. M. 1961. “The abstract theory of automata.”Russ. Math. Surv. 16, 1–53.

    Article  Google Scholar 

  • Leguizamón, C. A. 1975. “Concept of energy in biological systems.”Bull. Math. Biol. 35, 565–572.

    Google Scholar 

  • — 1977. “Transfers between biological and environmental systems.”Bull. Math. Biol. 39, 397–406.

    Article  MATH  Google Scholar 

  • Rosen, R. 1964. “Abstract biological systems as sequential machines I.”Bull. Math. Biophys. 26, 103–111.

    MATH  MathSciNet  Google Scholar 

  • — 1966. “Abstract biological systems as sequential machines III.”Bull. Math. Biophys. 28, 141–148.

    MATH  Google Scholar 

  • — 1971. “Some realisations of (M, R)-systems and their interpretation.”Bull. Math. Biophys. 33, 303–319.

    MATH  Google Scholar 

  • — 1973. “On the dynamical realizations of (M, R)-systems.”Bull. Math. Biol. 35, 1–9.

    Article  MATH  Google Scholar 

  • Warner, M. W. 1980. “Semi-group, group quotient and homogeneous automata.”Information and Control 47, 59–66.

    Article  MATH  MathSciNet  Google Scholar 

  • — 1981. “On tolerating automata.”Kybernetes 10, 173–178.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The City University, Northampton Square, EC1, London, UK

    M. W. Warner

Authors
  1. M. W. Warner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Warner, M.W. Representations of (M, R)-systems by categories of automata. Bltn Mathcal Biology 44, 661–668 (1982). https://doi.org/10.1007/BF02462274

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02462274

Keywords

Search

Navigation