bibliography for mathematical biophysics and relational theories

bibliography for mathematical biophysics and relational theories

This is a bibliography for areas of applied mathematics concerned with mathematical/relational and physical modeling and mathematical applications to life sciences,

complex systems

/complex systems biology and medicine.

0.1

A Bibliography for Mathematical Biophysics, Mathematical Biology and Theoretical Biology

References

1

Erwin Schrödinger.1945.

What is Life?

. Cambridge University Press: Cambridge (UK).

2

Nicolas Rashevsky

.1954, Topology and life: In search of general mathematical principles in
biology and sociology,

Bull. Math. Biophys.

16: 317-348.

3

Nicolas Rashevsky. 1965. Models and Mathematical Principles in Biology. In: Waterman/Morowitz,

Theoretical and Mathematical Biology

, pp. 36-53.

4

Rosalind E. Franklin and R.G. Gosling. 1953. Evidence for 2-chain helix in crystalline

structure

of sodium deoxyribonucleate (DNA).

Nature

177: 928-930.

5

Wilkins, M.H.F. et al. 1953. Helical structure of crystalline deoxypentose nucleic acid (DNA).

Nature

172: 759-762.

6

Francis H.C. Crick. 1953. Fourier transform of a coiled coil.

Acta Cryst

. 6: 685-687

7

H. R. Wilson. 1966.

Diffraction of X-rays by Proteins, Nucleic Acids and Viruses

.
London: Arnold.

8

I. C. Baianu, J. F. Glazebrook, R. Brown and G. Georgescu.: Complex Nonlinear Biodynamics in

Categories

,

Higher dimensional Algebra

and Łukasiewicz-Moisil Topos:

Transformation

of Neural, Genetic and Neoplastic

Networks

,

Axiomathes

,

16

: 65-122 2006).

http://www.bangor.ac.uk/ mas010/pdffiles/Axio7complx_Printedk7_v17p223_fulltext.pdf

PDF file of document

9

I.C. Baianu. 1978. X-ray Scattering by Partially Disordered Membrane Lattices.

Acta Crystall

. A34: 731-753.
(

paper contributed from The Cavendish Laboratory, Cambridge in 1979

).

10

I.C. Baianu. 1980. Structural Order and Partial Disorder in Biological Systems.

Bull. Math. Biol.

(

paper contributed from The Cavendish Laboratory, Cambridge in 1979

).

11

R. Hosemann and S. N. Bagchi. 1962.

Direct

Analysis

of Diffraction by Matter

. Amsterdam: North Holland.

12

D. Voet and J.G. Voet. 1995.

Biochemistry

. 2nd Edition, New York, Chichester, Brisbone, Toronto,
Singapore: J. Wiley and Sons, INC., 1361 pp.. (

an excellently illustrated textbook

)

13

Robert Rosen

. 1997 and 2002.

Essays on Life Itself

.

14

Rosen, R.: 1958a, A Relational Theory of Biological Systems

Bulletin of

Mathematical Biophysics

20

: 245-260.

15

Rosen, R.: 1958b, The

Representation

of Biological Systems from the Standpoint of the Theory of Categories.,

Bulletin of Mathematical Biophysics

20

: 317-341.

16

Rosen, R. 1960. A quantum-theoretic approach to genetic problems.

Bulletin of Mathematical Biophysics

22: 227-255.

17

Rosen, R.: 1987, On Complex Systems,

European Journal of Operational Research

30

, 129-134.

18

Rosen,R. 1970,

Dynamical Systems Theory in Biology

. New York: Wiley Interscience.

19

Rosen,R. 1970,

Optimality Principles in Biology

, New York and London: Academic Press.

20

Rosen,R. 1978,

Fundamentals of Measurement and Representation of Natural Systems

, Elsevier Science Ltd,

21

Rosen,R. 1985,

Anticipatory Systems: Philosophical, Mathematical and Methodological

Foundations

. Pergamon Press.

22

Rosen,R. 1991,

Life Itself: A Comprehensive Inquiry into the Nature, Origin, and Fabrication of Life

, Columbia University Press

23

Ehresmann, C.: 1984,

Oeuvres complètes et commentées: Amiens, 1980-84

, edited and commented
by Andrée Ehresmann.

24

Ehresmann, A. C. and J.-P. Vanbremersch: 2006, The Memory Evolutive Systems as a Model of Rosen’s Organisms,
in

Complex Systems Biology

, I.C. Baianu, Editor,

Axiomathes

16

(1–2), pp. 13-50.

25

Eilenberg, S. and Mac Lane, S.: 1942,

Natural Isomorphisms

in

Group Theory

.,

American Mathematical Society

43

: 757-831.

26

Eilenberg, S. and Mac Lane, S.: 1945, The General Theory of Natural Equivalences,

Transactions of the American Mathematical Society

58: 231-294.

27

Elsasser, M.W.: 1981, A Form of Logic Suited for Biology., In: Robert, Rosen, ed.,

Progress in Theoretical Biology

, Volume 6, Academic Press, New York and London, pp 23-62.

28

Bartholomay, A. F.: 1960.

Molecular Set Theory

. A

mathematical representation

for chemical reaction mechanisms.

Bull. Math. Biophys.

,

22

: 285-307.

29

Bartholomay, A. F.: 1965. Molecular Set Theory: II. An aspect of biomathematical

theory of sets

.,

Bull. Math. Biophys.

27

: 235-251.

30

Bartholomay, A.: 1971. Molecular Set Theory: III. The Wide-Sense Kinetics of

Molecular Sets

.,

Bulletin of Mathematical Biophysics

,

33

: 355-372.

Title

bibliography for mathematical biophysics and relational theories

Canonical name

BibliographyForMathematicalBiophysicsAndRelationalTheories

Date of creation

2013-03-22 18:18:18

Last modified on

2013-03-22 18:18:18

Owner

bci1 (20947)

Last modified by

bci1 (20947)

Numerical id

15

Author

bci1 (20947)

Entry type

Bibliography

Classification

msc 46L55

Classification

msc 92B20

Classification

msc 92B05

Classification

msc 37N25

Classification

msc 92B99

Classification

msc 92-00

Synonym

theoretical biophysics bibliography

Synonym

relational theories in biology

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MathematicalBiology

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TopicEntryOnAppliedMathematics

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OverviewOfTheContentOfPlanetMath

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