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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: bibliography for mathematical biophysics and mathematical medicine %%% Primary Category Code: 00. %%% Filename: BibliographyForMathematicalBiophysicsAndMathematicalMedicine.tex %%% Version: 2 %%% Owner: bci1 %%% Author(s): bci1 %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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\subsection{Literature on mathematical biophysics, mathematical biology and theoretical biology/biophysics}

This is a partial bibliography for an area of \htmladdnormallink{applied physics/}{http://planetphysics.us/encyclopedia/ComputationalPhysics.html} mathematics concerned with mathematical and physical applications to life sciences and medicine.

\begin{thebibliography}{9}

\bibitem{ES45} Erwin Schr\"odinger.1945. \emph{What is Life?}. Cambridge University Press: Cambridge (UK).

\bibitem{NR54} Nicolas Rashevsky.1954, Topology and life: In search of general mathematical principles in biology and sociology, \emph{Bull. Math. Biophys.} 16: 317-348.

\bibitem{NR65} Nicolas Rashevsky. 1965. Models and Mathematical Principles in Biology. In: Waterman/Morowitz, \emph{Theoretical and Mathematical Biology}, pp. 36-53.

\bibitem{REF53} Rosalind E. Franklin and R.G. Gosling. 1953. Evidence for 2-chain helix in crystalline structure of sodium deoxyribonucleate (DNA). \emph{Nature} 177: 928-930.

\bibitem{WM-SW-SR-HRW53} Wilkins, M.H.F. et al. 1953. Helical structure of crystalline deoxypentose nucleic acid (DNA). \emph{Nature} 172: 759-762.

\bibitem{FHCC53} Francis H.C. Crick. 1953. Fourier transform of a coiled coil. \emph{Acta Cryst}. 6: 685-687

\bibitem{HRW68} H. R. Wilson. 1966. \emph{Diffraction of X-rays by Proteins, Nucleic Acids and Viruses}. London: Arnold.

\bibitem{BBGG06} I. C. Baianu, J. F. Glazebrook, R. Brown and G. Georgescu.: Complex Nonlinear Biodynamics in Categories, Higher dimensional Algebra and \L{}ukasiewicz-Moisil Topos: Transformation of Neural, Genetic and Neoplastic Networks, \emph{Axiomathes}, \textbf{16}: 65-122 2006). \htmladdnormallink{PDF file of document}{http://www.bangor.ac.uk/~mas010/pdffiles/Axio7complx_Printedk7_v17p223_fulltext.pdf}

\bibitem{ICB78} I.C. Baianu. 1978. X-ray Scattering by Partially Disordered Membrane Lattices. {\em Acta Crystall}. A34: 731-753. (\emph{paper contributed from The Cavendish Laboratory, Cambridge in 1979}).

\bibitem{ICB80} I.C. Baianu. 1980. Structural Order and Partial Disorder in Biological Systems. \emph{Bull. Math. Biol.} (\emph{paper contributed from The Cavendish Laboratory, Cambridge in 1979}).

\bibitem{RH-SNB62} R. Hosemann and S. N. Bagchi. 1962. \emph{Direct Analysis of Diffraction by Matter}. Amsterdam: North Holland.

\bibitem{VoetD-JG95} D. Voet and J.G. Voet. 1995. \emph{Biochemistry}. 2nd Edition, New York, Chichester, Brisbone, Toronto, Singapore: J. Wiley and Sons, INC., 1361 pp.. (\emph{an excellently illustrated textbook})

\bibitem{RR97} Robert Rosen. 1997 and 2002. \emph{Essays on Life Itself}.

\bibitem{RRosen1} Rosen, R.: 1958a, A Relational Theory of Biological Systems \emph{Bulletin of Mathematical Biophysics} \textbf{20}: 245-260.

\bibitem{RRosen2} Rosen, R.: 1958b, The Representation of Biological Systems from the Standpoint of the Theory of Categories., \emph{Bulletin of Mathematical Biophysics} \textbf{20}: 317-341.

\bibitem{RRosen60} Rosen, R. 1960. A quantum-theoretic approach to genetic problems. \emph{Bulletin of Mathematical Biophysics} 22: 227-255.

\bibitem{RRosen87} Rosen, R.: 1987, On Complex Systems, \emph{European Journal of Operational Research} \textbf{30}, 129-134.

\bibitem{RR70} Rosen,R. 1970, \emph{Dynamical Systems Theory in Biology}. New York: Wiley Interscience.

\bibitem{RR70} Rosen,R. 1970, \emph{Optimality Principles in Biology}, New York and London: Academic Press.

\bibitem{RR70} Rosen,R. 1978, \emph{Fundamentals of Measurement and Representation of Natural Systems}, Elsevier Science Ltd,

\bibitem{RR70} Rosen,R. 1985, \emph{Anticipatory Systems: Philosophical, Mathematical and Methodological Foundations}. Pergamon Press.

\bibitem{RR91} Rosen,R. 1991, \emph{Life Itself: A Comprehensive Inquiry into the Nature, Origin, and Fabrication of Life}, Columbia University Press

\bibitem{EC84} Ehresmann, C.: 1984, \emph{Oeuvres compl\`etes et comment\'ees: Amiens, 1980-84}, edited and commented by Andr\'ee Ehresmann.

\bibitem{EACV2} Ehresmann, A. C. and J.-P. Vanbremersch: 2006, The Memory Evolutive Systems as a Model of Rosen's Organisms, in \emph{Complex Systems Biology}, I.C. Baianu, Editor, \emph{Axiomathes} \textbf{16} (1--2), pp. 13-50.

\bibitem{EML1} Eilenberg, S. and Mac Lane, S.: 1942, Natural Isomorphisms in Group Theory., \emph{American Mathematical Society 43}: 757-831.

\bibitem{EL} Eilenberg, S. and Mac Lane, S.: 1945, The General Theory of Natural Equivalences, \emph{Transactions of the American Mathematical Society} 58: 231-294.

\bibitem{Elsasser} Elsasser, M.W.: 1981, A Form of Logic Suited for Biology., In: Robert, Rosen, ed., \emph{Progress in Theoretical Biology}, Volume 6, Academic Press, New York and London, pp 23-62.

\bibitem{BAF60} Bartholomay, A. F.: 1960. Molecular Set Theory. A mathematical representation for chemical reaction mechanisms. \emph{Bull. Math. Biophys.}, \textbf{22}: 285-307.

\bibitem{BAF65} Bartholomay, A. F.: 1965. Molecular Set Theory: II. An aspect of biomathematical theory of sets., \emph{Bull. Math. Biophys.} \textbf{27}: 235-251.

\bibitem{BAF71} Bartholomay, A.: 1971. Molecular Set Theory: III. The Wide-Sense Kinetics of Molecular Sets ., \emph{Bulletin of Mathematical Biophysics}, \textbf{33}: 355-372.

\end{thebibliography}

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