---
abstract: |
The presence of structural order and partial disorder is discussed for several important biological molecules such as DNA, enzymes and proteins, as well as for cellular structures such as nerve myelin. The relationship between structural "fuzziness" and biological function is discussed
as an important aspect of biological complexity and biodynamics. The possible effects of partial disorder on the electron density of states in biological structures is predicted based on known quantum theoretical computations for lattices in solids. Important phenomena such as Anderson delocalization, Hall effect and quantum tunneling are predicted to affect biological function. Novel experiments are being suggested by pulsed lasers, pulsed/FT-NMR and optical/NIR spectroscopy in order to monitor the effects of structural partial disorder and "fuzziness" on biological function. Novel methods for computer analysis of paracrystalline lattices such as nerve myelin and oriented DNA fibers are also being proposed based on molecular models that include partial disorder.
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chapter: ~
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creators_id:
- icb
creators_name:
- family: Baianu
given: I.C.
honourific: Dr.
lineage: ''
date: 1980-09
date_type: published
datestamp: 2004-10-06
department: ~
dir: disk0/00/00/38/20
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editors_id: []
editors_name:
- family: Landahl
given: H.D.
honourific: Professor
lineage: Sr.
eprint_status: archive
eprintid: 3820
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full_text_status: public
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keywords: |
structural order and partial disorder in biological systems;
paracrystaline nerve myelin computer models; paracrystalline DNA fibers and computer models of partailly disordered DNA fibers; relationship between structural "fuzziness" and biological function;electron density of states in biological structures;quantum theoretical computations for lattices in solids;Anderson delocalization, Hall effect and quantum tunneling effects on important biological functions;Novel experiments by pulsed lasers, pulsed/FT-NMR and optical/NIR spectroscopy;
monitoring the effects of structural partial disorder and "fuzziness" on biological function.
lastmod: 2011-03-11 08:55:41
latitude: ~
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metadata_visibility: show
note: ~
number: 4
pagerange: 137-141
pubdom: FALSE
publication: The Bulletin of Mathematical Biophysics
publisher: Pergamon Press Ltd.
refereed: TRUE
referencetext: |+
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3. Ashby, W. R 1956. An Introduction to Oybernetics, New York: J. Wiley & Sons, Inc.
4. Baianu, I.C. and Marinescu, M. 1968. Organismic Supercategories:I. Proposals for a General Unitary Theory of Systems. Bull. Math. Biophys., 30: 625-635.
5. Baianu, I. 1970. Organismic Supercategories: II. On Multistable Systems. Bull. Math. Biophys., 32: 539-561.
6. Baianu, I. 1971. Organismic Supercategories and Qualitative Dynamics of Systems. Bull. Math. Biophys., 33: 339-354.
7. Baianu, I. 1971. Categories, Functors and Automata Theory. , Proceed. 4th Intl. Congress LMPS, August-Sept. 1971.
8. Baianu, I. and Scripcariu, D. 1973. On Adjoint Dynamical Systems. Bull. Math. Biology., 35: 475-486.
9. Baianu, I. 1973. Some Algebraic Properties of (M,R)-Systems in Categories. Bull. Math. Biophys, 35: 213-218.
10. Baianu, I. and Marinescu, M. 1974. A Functorial Construction of (M,R)-Systems., Rev. Roum. Math. Pures et Appl ., 19: 389-392.
11. Baianu, I.C. 1977. A Logical Model of Genetic Activities in Lukasiewicz Algebras: The Non-Linear Theory., Bull. Math. Biology, 39:249-258.
12. Baianu, I.C. 1980. Natural Transformations of Organismic Structures. Bull. Math. Biology, 42: 431-446.
13. Ehresmann, Ch. 1966. "Trends Toward Unity in Mathematics." Cahiers de Topologie Et Geometrie Differentielle, 8,1-7.
14. Eilenberg, S. and S. MacLane. 1945. "General Theory of Natural Equivalences."Trans. Am. Math. Soo., 58, 231-294. -
15. Eilenberg, S. and J. Wright. 1967. "Automata. in General Algebras." Seventy-Second Meeting American Math. Soc., 1-17.
16. Georgescu, G. and D. Popescu. 1968. "On Algebraic Categories." Rev. Roum. Math. Pures et Appl., 13, 337-342.
17. Georgescu, G. and C. Vraciu 1970. "On the Characterization of Lukasiewicz Algebras." J Algebra, 16 (4), 486-495.
18. Mitchell, B. 1965. The Theory of Categories. New York and London: Academic Press.
19. Rashevsky, N. 1954. "Topology and Life: In Search of General Mathematical Principles in Biology and Sociology." Bull. Math. Biophysics, 16, 317-348.
20. McCulloch, W and W. Pitts. 1943. "A logical Calculus of Ideas Immanent in Nervous Activity" Ibid., 5, 115- 133.
21. Pitts, W. 1943. "The Linear Theory of Neuron Networks" Bull. Math. Biophys., 5, 23-31.
22. Rosen, R.1958.a."A relational Theory of Biological Systems" Bull. Math. Biophys., 20, 245-260.
23. Rosen, R. 1958b. "The Representation of Biological Systems from the Standpoint of the Theory of Categories" Bull. Math. Biophys., 20, 317-341.
24. Rosen, Robert. 1968. On Analogous Systems. Bull. Math. Biophys., 30: 481-492.
25.Rosen, Robert. 1973. On the Dynamical realization of (M,R)-Systems. Bull. Math. Biology., 35:1-10.
26. Stradling,R.A. 1978. Quantum Transport., Phys. Bulletin. 29:559-562.
relation_type: []
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reportno: ~
rev_number: 8
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source: ~
status_changed: 2007-09-12 16:53:47
subjects:
- comp-sci-stat-model
- comp-sci-mach-dynam-sys
- comp-sci-complex-theory
- comp-sci-neural-nets
- bio-theory
succeeds: ~
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title: |-
STRUCTURAL ORDER AND PARTIAL DISORDER IN BIOLOGICAL SYSTEMS:
STRUCTURAL "FUZZINESS" UNDERLYING BIOLOGICAL FUNCTION
type: journalp
userid: 4959
volume: 42