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User longog
title Biological Organization and Anti-Entropy.
Authors Francis Bailly, Giuseppe Longo.
Source In J. Biological Systems, Vol. 17, No. 1, pp. 63-96, 2009.
Year 2009
Type Journal

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Abstract This paper proposes a systemic perspective for some aspects of both phylogenesis and
ontogenesis by expressing biological organization in terms of “anti-entropy”, a notion to be
defined below and which conceptually differs from the common use of “negative entropy”.
To this purpose, we introduce two principles, in addition to the thermodynamic ones, which
are (mathematically) compatible with traditional principles but which have no meaning with
regard to inert matter. A traditional balance equation for the metabolism will then be
extended to the new notion as specified by these principles. We examine far from
equilibrium systems and we focus in particular on the production of global entropy
associated to the irreversible character of the processes. A close analysis of anti-entropy will
be performed from the perspective of a diffusion equation of biomass over “complexity” and,
as a complementary approach and as a tool for specifying a source term, in connection to
Schrödinger’s method regarding his equation in the field of Quantum Mechanics. We borrow
only the operatorial approach from this equation and do so using a classical framework, since
we use real coefficients instead of complex ones, thus outside of the mathematical framework
of quantum theories. The first application of our proposal is a simple mathematical
reconstruction of Gould’s complexity curve of biomass over complexity as it applies to
evolution. We then present, based on the existence of different time scales, a partition of
ontogenetic time, in reference to entropy and anti-entropy variation. On the grounds of this
approach, we analyze the metabolism and scaling laws. This allows to compare various
relevant coefficients appearing in these scaling laws, which fit empirical data. Finally, a
tentative and quantitative evaluation of complexity is proposed, also in relation to some
empirical data (caenorhabditis elegans).
Link ftp://ftp.di.ens.fr/pub/users/longo/CIM/anti-entropy.pdf
Created Tuesday 03 May, 2011 10:06:50