%%% This file is part of PlanetPhysics snapshot of 2011-09-01
%%% Primary Title: Nicolas Rashevsky
%%% Primary Category Code: 00.
%%% Filename: NicolasRashevsky.tex
%%% Version: 5
%%% 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}
\setlength{\topmargin}{0.00in}
\setlength{\headsep}{0.00in}
\setlength{\headheight}{0.00in}
\setlength{\evensidemargin}{0.00in}
\setlength{\oddsidemargin}{0.00in}
\setlength{\textwidth}{6.5in}
\setlength{\textheight}{9.00in}
\setlength{\voffset}{0.00in}
\setlength{\hoffset}{0.00in}
\setlength{\marginparwidth}{0.00in}
\setlength{\marginparsep}{0.00in}
\setlength{\parindent}{0.00in}
\setlength{\parskip}{0.15in}
\usepackage{html}
% this is the default PlanetPhysics preamble. as your knowledge
% there are many more packages, add them here as you need them
% define commands here
\usepackage{amsmath, amssymb, amsfonts, amsthm, amscd, latexsym}
\usepackage{xypic}
\usepackage[mathscr]{eucal}
\theoremstyle{plain}
\newtheorem{lemma}{Lemma}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\theoremstyle{definition}
\newtheorem{definition}{Definition}[section]
\newtheorem{example}{Example}[section]
%\theoremstyle{remark}
\newtheorem{remark}{Remark}[section]
\newtheorem*{notation}{Notation}
\newtheorem*{claim}{Claim}
\renewcommand{\thefootnote}{\ensuremath{\fnsymbol{footnote%%@
}}}
\numberwithin{equation}{section}
\newcommand{\Ad}{{\rm Ad}}
\newcommand{\Aut}{{\rm Aut}}
\newcommand{\Cl}{{\rm Cl}}
\newcommand{\Co}{{\rm Co}}
\newcommand{\DES}{{\rm DES}}
\newcommand{\Diff}{{\rm Diff}}
\newcommand{\Dom}{{\rm Dom}}
\newcommand{\Hol}{{\rm Hol}}
\newcommand{\Mon}{{\rm Mon}}
\newcommand{\Hom}{{\rm Hom}}
\newcommand{\Ker}{{\rm Ker}}
\newcommand{\Ind}{{\rm Ind}}
\newcommand{\IM}{{\rm Im}}
\newcommand{\Is}{{\rm Is}}
\newcommand{\ID}{{\rm id}}
\newcommand{\GL}{{\rm GL}}
\newcommand{\Iso}{{\rm Iso}}
\newcommand{\Sem}{{\rm Sem}}
\newcommand{\St}{{\rm St}}
\newcommand{\Sym}{{\rm Sym}}
\newcommand{\SU}{{\rm SU}}
\newcommand{\Tor}{{\rm Tor}}
\newcommand{\U}{{\rm U}}
\newcommand{\A}{\mathcal A}
\newcommand{\Ce}{\mathcal C}
\newcommand{\D}{\mathcal D}
\newcommand{\E}{\mathcal E}
\newcommand{\F}{\mathcal F}
\newcommand{\G}{\mathcal G}
\newcommand{\Q}{\mathcal Q}
\newcommand{\R}{\mathcal R}
\newcommand{\cS}{\mathcal S}
\newcommand{\cU}{\mathcal U}
\newcommand{\W}{\mathcal W}
\newcommand{\bA}{\mathbb{A}}
\newcommand{\bB}{\mathbb{B}}
\newcommand{\bC}{\mathbb{C}}
\newcommand{\bD}{\mathbb{D}}
\newcommand{\bE}{\mathbb{E}}
\newcommand{\bF}{\mathbb{F}}
\newcommand{\bG}{\mathbb{G}}
\newcommand{\bK}{\mathbb{K}}
\newcommand{\bM}{\mathbb{M}}
\newcommand{\bN}{\mathbb{N}}
\newcommand{\bO}{\mathbb{O}}
\newcommand{\bP}{\mathbb{P}}
\newcommand{\bR}{\mathbb{R}}
\newcommand{\bV}{\mathbb{V}}
\newcommand{\bZ}{\mathbb{Z}}
\newcommand{\bfE}{\mathbf{E}}
\newcommand{\bfX}{\mathbf{X}}
\newcommand{\bfY}{\mathbf{Y}}
\newcommand{\bfZ}{\mathbf{Z}}
\renewcommand{\O}{\Omega}
\renewcommand{\o}{\omega}
\newcommand{\vp}{\varphi}
\newcommand{\vep}{\varepsilon}
\newcommand{\diag}{{\rm diag}}
\newcommand{\grp}{{\mathbb G}}
\newcommand{\dgrp}{{\mathbb D}}
\newcommand{\desp}{{\mathbb D^{\rm{es}}}}
\newcommand{\Geod}{{\rm Geod}}
\newcommand{\geod}{{\rm geod}}
\newcommand{\hgr}{{\mathbb H}}
\newcommand{\mgr}{{\mathbb M}}
\newcommand{\ob}{{\rm Ob}}
\newcommand{\obg}{{\rm Ob(\mathbb G)}}
\newcommand{\obgp}{{\rm Ob(\mathbb G')}}
\newcommand{\obh}{{\rm Ob(\mathbb H)}}
\newcommand{\Osmooth}{{\Omega^{\infty}(X,*)}}
\newcommand{\ghomotop}{{\rho_2^{\square}}}
\newcommand{\gcalp}{{\mathbb G(\mathcal P)}}
\newcommand{\rf}{{R_{\mathcal F}}}
\newcommand{\glob}{{\rm glob}}
\newcommand{\loc}{{\rm loc}}
\newcommand{\TOP}{{\rm TOP}}
\newcommand{\wti}{\widetilde}
\newcommand{\what}{\widehat}
\renewcommand{\a}{\alpha}
\newcommand{\be}{\beta}
\newcommand{\ga}{\gamma}
\newcommand{\Ga}{\Gamma}
\newcommand{\de}{\delta}
\newcommand{\del}{\partial}
\newcommand{\ka}{\kappa}
\newcommand{\si}{\sigma}
\newcommand{\ta}{\tau}
\newcommand{\lra}{{\longrightarrow}}
\newcommand{\ra}{{\rightarrow}}
\newcommand{\rat}{{\rightarrowtail}}
\newcommand{\oset}[1]{\overset {#1}{\ra}}
\newcommand{\osetl}[1]{\overset {#1}{\lra}}
\newcommand{\hr}{{\hookrightarrow}}
\begin{document}
\section{Nicolas Rashevsky} (1899- 1973):
American physicist and mathematical biologist who was the Founder of Mathematical Biophysics and Mathematical Biology, and also Professor of Mathematical Biophysics at the University of Chicago in the Committee for Mathematical Biology until 1968. He established also the first Mathematical Biophysics journal, the Bulletin of Mathematical Biophysics, later changed under his editorship to ``{\em Bulletin of Mathematical Biology}" to emphasize the transition towards \htmladdnormallink{abstract relational biology}{http://planetphysics.us/encyclopedia/SystemsBiology.html} and \htmladdnormallink{Relational Theory}{http://planetphysics.us/encyclopedia/RSystemsCategory.html} of \htmladdnormallink{organismic sets}{http://planetphysics.us/encyclopedia/RSystemsCategory.html} beyond numerical and analytical \htmladdnormallink{functions}{http://planetphysics.us/encyclopedia/Bijective.html} characteristic of simpler physical \htmladdnormallink{systems}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html}. His later efforts focused on topology of biological systems and the formulation of fundamental principles in biology and hierarchical organization of organisms and human societies.
Rashevsky's numerous publications and basic textbooks span almost half a century; among his first published papers was a physical, probabilistic treatment of molecular diffusion using a different approach from that of Albert \htmladdnormallink{Einstein's}{http://planetphysics.us/encyclopedia/AlbertEinstein.html} but with similar, concurrent solutions to the same problem.
Some of his closest coworkers were: \htmladdnormallink{George Karreman}{http://planetphysics.us/encyclopedia/QuantumBiology.html} (former Professor at the University of Pennsylvania), \htmladdnormallink{Herbert Landahl}{http://planetphysics.us/encyclopedia/CNS.html} (former Professor at the University of California), \htmladdnormallink{Robert Rosen}{http://planetphysics.us/encyclopedia/RobertRosen.html} (his mathematics PhD student and later Professor of Biophysics at Dalhousie University), and Anthony Bartholomay (former Chairman of the Mathematical Medicine Department at Ohio State University).
{\em Last time we met in 1970 at the International Mathematical Biology Symposium at Toledo, Ohio, USA, he showed obvious signs of fatigue due to his
plane trip and suffering from \htmladdnormallink{CAD}{http://planetphysics.us/encyclopedia/CAD.html}, but he also exhibited an uninhibited excitement and enthousiasm for the new areas of Organsimic Sets and \htmladdnormallink{relational biology}{http://planetphysics.us/encyclopedia/RSystemsCategory.html} in Mathematical Biophysics he just initiated less than five years before
which are concerned with the mathematical and physical essence of life processes and living organisms.}
\begin{thebibliography}{99}
\bibitem{Rashevsky1-yr1965}
N. Rashevsky.: 1965, The Representation of Organisms in Terms of Predicates, \emph{Bulletin of Mathematical Biophysics} \textbf{27}: 477-491.
\bibitem{Rashevsky2-1969}
N. Rashevsky.: 1969, Outline of a Unified Approach to Physics, Biology and Sociology., \emph{Bulletin of Mathematical Biophysics} \textbf{31}: 159--198.
\bibitem{ICB2}
Baianu, I.C.: 1980, Natural Transformations of Organismic Structures.,
\emph{Bulletin of Mathematical Biology},\textbf{42}: 431-446.
\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{ICB87}
Baianu, I. C.: 1986--1987, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), \emph{Mathematical Models in Medicine}, vol. 7., Ch.11 Pergamon Press, New York, 1513 -1577; URLs: \htmladdnormallink{CERN Preprint No. EXT-2004-072:}{http://en.scientificcommons.org/1857371}.
\bibitem{BBGG2k6}
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L ukasiewicz--Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., \emph{Axiomathes}, \textbf{16} Nos. 1--2: 65--122.
\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.
\end{thebibliography}
\subsection{Note}
This entry is based in part on the content of a different GNU Licensed \htmladdnormallink{website by the same author}{http://en.wikipedia.org/wiki/Nicolas_Rashevsky} that may be subsequently even further modified, altered, or updated in its contents.
\end{document}