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Scaling laws illuminate Nature's fundamental biological principles and guide bioinspired materials and structural designs. In simple cases they are based on the fundamental principle that all laws of nature remain unchanged (i.e.,…

Biological Physics · Physics 2025-02-18 Huan Liu , Shashank Priya , Richard D. James

From bird flocking to neural dynamics, complex systems generate fascinating structures and correlations. Often, seemingly simple dynamics lead to intricate emergent properties. Despite their visceral appeal, defining complex systems lacks…

History and Philosophy of Physics · Physics 2024-11-19 Casper van Elteren

We show that many important natural science models in their mathematical formulation can be reduced to non-strictly hyperbolic systems of the same kind. This allows the same methods to be applied to them so that some essential results…

Mathematical Physics · Physics 2023-03-21 Olga Rozanova

It is argued that at a sufficiently deep level the conventional quantitative approach to the study of nature faces difficult problems, and that biological processes should be seen as more fundamental, in a way that can be elaborated on the…

General Physics · Physics 2019-12-02 Brian D. Josephson

We advocates here the use of (mathematical) logic for systems biology, as a unified framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these properties. The…

Logic in Computer Science · Computer Science 2017-01-19 Joëlle Despeyroux

It is widely believed that theory is useful in physics because it describes simple systems and that strictly empirical phenomenological approaches are necessary for complex biological and social systems. Here we prove based upon an analysis…

Physics and Society · Physics 2013-08-15 Yaneer Bar-Yam

This paper is to show that most discrete models used for population dynamics in ecology are inherently pathological that their predications cannot be independently verified by experiments because they violate a fundamental principle of…

Populations and Evolution · Quantitative Biology 2007-05-23 Bo Deng

Correlation is not causation. As simple as this widely agreed-upon statement may seem, scientifically defining causality and using it to drive our modern biomedical research is immensely challenging. In this perspective, we attempt to…

Molecular Networks · Quantitative Biology 2024-01-19 Sebastian Lobentanzer , Pablo Rodriguez-Mier , Stefan Bauer , Julio Saez-Rodriguez

Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model…

Statistical Mechanics · Physics 2012-11-20 Jacopo Grilli , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

We formulate physically-motivated axioms for a physical theory which for systems with a finite number of degrees of freedom uniquely lead to Quantum Mechanics as the only nontrivial consistent theory. Complex numbers and the existence of…

Quantum Physics · Physics 2013-06-04 Anton Kapustin

The theory of evolution by natural selection cannot be used to evaluate the truth value of the following proposition: Through evolution, there exists at least one species that can adapt to any one given environment. To address this issue,…

Biological Physics · Physics 2022-08-17 Kai Xu

Fermi's Paradox is the contradiction between the fact that it would seem to be highly probable that there are other technologically advanced species beyond the Earth, and the fact that there is no generally accepted evidence for their…

Popular Physics · Physics 2018-12-19 Kent A. Peacock

The problem of error growth due to the incomplete knowledge of the evolution law which rules the dynamics of a given physical system is addressed. Major interest is devoted to the analysis of error amplification in systems with many…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , M. Cencini , G. Lacorata , A. Vulpiani

We advance a famous principle - causality principle - but under a new view. This principle is a principium automatically leading to most fundamental laws of the nature. It is the inner origin of variation, rules evolutionary processes of…

General Physics · Physics 2007-05-23 Do Minh Chi

One of the most compelling problems in science consists in understanding how living systems process information. After all, the way they process information defines their capacities to learning and adaptation. There is an increasing…

Adaptation and Self-Organizing Systems · Physics 2017-04-21 Carlos Eduardo Maldonado

Significant fraction (about 98.5% in humans, 24% in microbe Rickettsia prowazekii) of most animal genomes is non-coding DNA. Although recent studies established functions of its certain portions, it remains genomic dark matter. The paper…

Genomics · Quantitative Biology 2007-05-23 Mark Ya. Azbel

A modeling formalism is proposed for the description and study of living and life-like systems. It provides an abstract conceptual model framework for real life and evolution of biological organisms. It is proposed, that this model…

Populations and Evolution · Quantitative Biology 2013-06-14 Margareta Segerståhl

Ecological and evolutionary processes show various population dynamics depending on internal interactions and environmental changes. While crucial in predicting biological processes, discovering general relations for such nonlinear dynamics…

Biological Physics · Physics 2022-06-23 Kyosuke Adachi , Ryosuke Iritani , Ryusuke Hamazaki

Physical laws are strikingly simple, yet there is no a priori reason for them to be so. I propose that nomic realists -- Humeans and non-Humeans -- should recognize simplicity as a fundamental epistemic guide for discovering and evaluating…

History and Philosophy of Physics · Physics 2025-01-22 Eddy Keming Chen

We will review some of the theoretical progresses that have been in the study of complex systems in physics and of their applications to biology.

Condensed Matter · Physics 2008-02-03 Giorgio Parisi