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首页> 外文期刊>Progress in Biophysics and Molecular Biology: An International Review Journal >Scale relativity theory and integrative systems biology: 1 Founding principles and scale laws.
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Scale relativity theory and integrative systems biology: 1 Founding principles and scale laws.

机译：尺度相对论和整合系统生物学：1建立原理和尺度定律。

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摘要

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.
机译：在这两篇随附的论文中，我们提供了集成系统生物学的多重根源，当前发展和最新进展的概述和简要历史，并将多尺度集成视为其巨大挑战。然后，我们介绍了尺度相对论构建过程中遵循的基本原理和后续步骤，并讨论了如何将复杂性不断提高的尺度定律用于建模和理解复杂生物系统的行为。在尺度相对论中，空间的几何形状被认为是连续的但不可微的，因此是分形的（即，明显地取决于尺度）。人们在自然界中所有尺度的相对性原理的约束下，在诸如测地线方程的空间中写下了运动方程。为此，构造协变导数，以实现不可微和分形几何的各种效果。在这篇第一篇评论文章中，获得了描述物理量分辨率新依赖性的比例定律，作为在比例空间中作用的微分方程的解。从最简单的尺度不变定律到具有可变分形维数的广义定律，这导致了这些定律的几种可能描述水平。讨论了这些定律在物种进化，胚胎发生和细胞限制研究中的初步应用。

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