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Author(s): Auffray C; Nottale L
Title: Scale relativity theory and integrative systems biology: 1 Founding principles and scale laws
Source: PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY 97 (1): 79-114
Date: 2008 MAY
Document Type: Journal : Review
DOI:
Language: English
Comment:
Address: Univ Paris 06, CNRS, LGN, UMR Funct Genom & Syst Biol Hlth 7091, F-94801 Villejuif, France.
Observ Paris, CNRS, LUTH, F-92190 Meudon, France. Paris Diderot Univ Paris 7, F-92190 Meudon, France. Reprint: Auffray, C, Univ Paris 06, CNRS, LGN, UMR Funct Genom & Syst Biol Hlth
7091, 7 Rue Guy Moquet,BP 8, F-94801 Villejuif, France. E-mail: charles.auffray@vjf.cnrs.fr
laurent.nottale@obspm.fr Author Keywords: systems biology; scale relativity; scale laws; first principles;
multiscale integration
KeyWords Plus: FRACTAL SPACE-TIME; EUKARYOTIC GENE-EXPRESSION; DRUG DISCOVERY;
MOLECULAR-BIOLOGY; NETWORK MOTIFS; SIGNALING PATHWAYS; REGULATORY
NETWORK; QUANTUM-MECHANICS; CELLULAR NETWORKS; COMPLEX NETWORKS
Abstract: In these two companion papers, we provide an overview and a brief history of the multiple roots, current developments and recent advances of integrative systems biology and identify multiscale integration as its grand challenge. Then we introduce the fundamental principles and the successive steps that have been followed in the construction of the scale relativity theory, and discuss how scale laws of increasing complexity can be used to model and understand the behaviour of complex biological systems. In scale relativity theory, the geometry of space is considered to be continuous but non-differentiable, therefore fractal (i.e., explicitly scale-dependent). One writes the equations of motion in such a space as geodesics equations, under the constraint of the principle of relativity of all scales in nature. To this purpose, covariant derivatives are constructed that implement the various effects of the non-differentiable and fractal geometry. In this first review paper, the scale laws that describe the new dependence on resolutions of physical quantities are obtained as solutions of differential equations acting in the scale space. This leads to several possible levels of description for these laws, from the simplest scale invariant laws to generalized laws with variable fractal dimensions. Initial applications of these laws to the study of species evolution, embryogenesis and cell confinement are discussed. (c) 2007 Elsevier Ltd. All rights reserved.
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