---
abstract: 'The representation of biological systems in terms of organismic supercategories, introduced in previous papers by Baianu et al. (Bull. Math. Biophysics,30, 625–636;31, 59–70) is further discussed. To state more clearly this representation some new definitions are introduced. Also, some necessary changes in axiomatics are made. The conclusion is reached that any organismic supercategory has at least one superpushout, and this expresses the fact that biological systems are multistable. This way a connection between some results of Rashevsky’s theory of organismic sets and our results becomes obvious.'
altloc:
  - http://www.springerlink.com/content/98303486x3l07jx3/
chapter: ~
commentary: ~
commref: 'DOI: 10.1007/BF02476770'
confdates: ~
conference: ~
confloc: ~
contact_email: ~
creators_id:
  - icb
creators_name:
  - family: Baianu
    given: I.C.
    honourific: Prof. Dr.
    lineage: ''
date: 1970-11-21
date_type: published
datestamp: 2011-12-16 00:58:58
department: ~
dir: disk0/00/00/77/52
edit_lock_since: ~
edit_lock_until: 0
edit_lock_user: ~
editors_id: []
editors_name:
  - family: Rashevsky
    given: Nicolas
    honourific: Professor
    lineage: ~
eprint_status: archive
eprintid: 7752
fileinfo: application/pdf;http://cogprints.org/7752/3/OSIImultist1970.pdf
full_text_status: public
importid: ~
institution: ~
isbn: ~
ispublished: pub
issn: ~
item_issues_comment: []
item_issues_count: 0
item_issues_description: []
item_issues_id: []
item_issues_reported_by: []
item_issues_resolved_by: []
item_issues_status: []
item_issues_timestamp: []
item_issues_type: []
keywords: 'Supercategories and Functors, Homology Theory, Quantum Genetics, Relational Oscillations, Organismic Supercategories, Complex Bio-Systems, Observables Generating Diagram, Relational Biology, Multistability of Organisms'
lastmod: 2011-12-16 00:58:58
latitude: ~
longitude: ~
metadata_visibility: show
note: "Supercategories are defined currently as n-categories or higher dimensional algebra, Axiomatic definitions of Categories and Supercategories of Relational, Complex Biological Systems, \r\n\r\nDOI: 10.1007/BF02476770"
number: 4
pagerange: 539-561
pubdom: FALSE
publication: The Bulletin of Mathematical Biophysics
publisher: 'Elsevier Publs. Co. and Springer reprints, DOI: 10.1007/BF02476770'
refereed: TRUE
referencetext: "Ashby, W.R. 1960. Design for a brain, 2nd ed., New York: J. Wiley & Sons, Inc.\r\n~ . 1956. An Introduction to Cybernetics, New York: J. Wiley & Sons, Inc.\r\nBaianu, I. and M. Marinescu. 1968. \"Organismic Supercategories: I. Proposals for a\r\nGeneral Unitary Theory of Systems.\" Bull. Math. Biophysics, 80, 625-636.\r\nBourbaki, N. 1958. J~lements de Mathdmatique, Paris: Hermann & C le, ]~diteurs.\r\nComoro~an, S. and I. Baianu. 1969. \"Abstract Representations of Biological Systems\r\nin Supercategories.\" Bull. Math. Biophysics, 31, 59-71.\r\nEhresmann, Ch. 1966. \"Trends Toward Unity in Mathematics.\" Cahiers de topologle\r\net geometric differentielle, 8, 1-7.\r\nEilenberg, S. and S. MaeLane. 1945. \"General Theory of Natural Equivalences.\"\r\nTrans. Am. Math. Soc., 58, 231-294.\r\nand J. Wright. 1967. \"Automata in General Algebras.\" Seventy-Second Meeting\r\nAmerican Math. Soc., 1-17.\r\nGeorgeseu, G. and D. Popeseu. 1968. \"On Algebraic Categories.\" l~ev. Roum. Math.\r\nPurcs et AppL, 13, 337-342.\r\nLawvere, F.W. 1963. \"Functional Semantics of Algebraic Theories.\" Proc. Nat.\r\nAcad. Sci., 5O, 869-872.\r\n~-. 1966. \"The Category of Categories as a Foundation for Mathematics.\" In the\r\nProc. Conf. Categorical Algebra-LaJoUa 1965, Eilenberg, S., et al. eds., Berlin, Heidelberg\r\nand l~ew York: Springer-Verlag, pp. 1-20.\r\n1969. \"Closed Cartesian Categories.\" (Lecture held as a guest of the Romanian\r\nAcademy of Sciences, Bucharest.)\r\nLSfgren, L. 1968. \"An Axiomatic Explanation of Complete Serf-Reproduction.\" Bull.\r\nMath. Biophysics, 30, 317-348.\r\nMitchell, B. 1965. The Theory of Categories. New York and London: Academic Press.\r\nRashevsky, 1~. 1954. \"Topology and Life: In Search of General Mathematical Principles\r\ni n Biology and Sociology.\" Bull. Math. Biophysics, 16, 317-348."
relation_type: []
relation_uri: []
reportno: ~
rev_number: 13
series: ~
source: ~
status_changed: 2011-12-16 00:58:58
subjects:
  - bio-evo
  - bio-theory
  - comp-neuro-sci
  - comp-sci-art-intel
  - comp-sci-complex-theory
  - comp-sci-mach-dynam-sys
  - comp-sci-stat-model
  - neuro-chem
  - neuro-mod
succeeds: 7741
suggestions: "Currently I own the copyright for this article and am allowing the posting on the web of my original article whose\r\nsingle author I am. "
sword_depositor: ~
sword_slug: ~
thesistype: ~
title: "Organismic Supercategores: II. On Multistable Systems\r\n\r\n"
type: journalp
userid: 4959
volume: 32
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