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Evolution is the fundamental physical process that gives rise to biological phenomena. Yet it is widely treated as a subset of population genetics, and thus its scope is artificially limited. As a result, the key issues of how rapidly…

种群与进化 · 定量生物学 2017-08-23 Nigel Goldenfeld , Carl Woese

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

细胞行为 · 定量生物学 2016-12-05 Krishna Garikipati

We discuss the so-called Schr{\"o}dinger problem of deducing the microscopic (basically stochastic) evolution that is consistent with given positive boundary probability densities for a process covering a finite fixed time interval. The…

量子物理 · 物理学 2007-05-23 P. Garbaczewski

The continuity of life and its evolution, we proposed, emerge from an interactive group process manifested in networks of interaction. We term this process \textit{survival-of-the-fitted}. Here, we reason that survival of the fitted results…

神经与进化计算 · 计算机科学 2025-06-17 Irun R. Cohen , Assaf Marron

We study a family of coherent states, called Schr\"odingerlets, both in the continuous and discrete setting. They are defined in terms of the Schr\"odinger equation of a free quantum particle and some of its invariant transformations.

The claim that life is an emergent phenomenon exhibiting novel properties and principles is often criticized for being in conflict with causal closure at the microscopic level. I argue that advances in cosmological theory suggesting an…

天体物理学 · 物理学 2007-05-23 P. C. W. Davies

The classification of life should be based upon the fundamental mechanism in the evolution of life. We found that the global relationships among species should be circular phylogeny, which is quite different from the common sense based upon…

基因组学 · 定量生物学 2009-12-16 Dirson Jian Li , Shengli Zhang

We study the stability of the Schr\"odinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Schr\"odinger equation by the difference of their…

数学物理 · 物理学 2024-07-11 Aitor Balmaseda , Davide Lonigro , Juan Manuel Pérez-Pardo

As an example of topic where biology and physics meet, we present the issue of protein folding and stability, and the development of thermodynamics-based bioinformatics tools that predict the stability and thermal resistance of proteins and…

生物大分子 · 定量生物学 2016-03-15 Fabrizio Pucci , Marianne Rooman

Basic problems in complex systems are surveyed in connection with Life. As a key issue for complex systems, complementarity between syntax/rule/parts and semantics/behavior/whole is stressed. To address the issue, a constructive approach…

adap-org · 物理学 2007-05-23 Kunihiko Kaneko

A central feature of complex systems is the relevance and entanglement of different levels of description. For instance, the dynamics of ecosystems can be alternatively described in terms of large ecological processes and classes of…

种群与进化 · 定量生物学 2025-10-06 Juan Giral Martínez , Silvia de Monte , Matthieu Barbier

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

统计力学 · 物理学 2018-08-01 Miguel A. Munoz

While evolution has inspired algorithmic methods of heuristic optimisation, little has been done in the way of using concepts of computation to advance our understanding of salient aspects of biological phenomena. We argue that under…

计算复杂性 · 计算机科学 2012-06-05 Hector Zenil , James A. R. Marshall

This manuscript investigates the existence and spectral stability of multiple periodic standing wave solutions for a nonlinear Schr\"odinger system. By considering both cnoidal and snoidal profiles, we provide a comprehensive spectral…

偏微分方程分析 · 数学 2026-01-29 Guilherme de Loreno , Gabriel E. Bittencourt Moraes

The possibility that evolutionary forces -- together with a few fundamental factors such as thermodynamic constraints, specific computational features enabling information processing, and ecological processes -- might constrain the logic of…

生物物理 · 物理学 2025-12-30 Manlio De Domenico

How large ecosystems can create and maintain the remarkable biodiversity we see in nature is probably one of the biggest open questions in science, attracting attention from different fields, from Theoretical Ecology to Mathematics and…

Ever since the advent of quantum mechanics, it has been clear that the atoms composing matter do not obey Newton's laws. Instead, their behavior is described by the Schroedinger equation. Surprisingly though, until recently, no clear…

量子物理 · 物理学 2007-05-23 Tanmoy Bhattacharya , Salman Habib , Kurt Jacobs

It is generally recognized that a distinguishing feature of life is its peculiar capability to avoid equilibration. The origin of this capability and its evolution along the timeline of abiogenesis is not yet understood. We propose to study…

分子网络 · 定量生物学 2016-10-13 Dmitry Yu. Zubarev , Leonardo A. Pachón

We investigate the quantum dynamics of a spin chain that implements a quantum analog of Conway's game of life. We solve the time-dependent Schr\"odinger equation starting with initial separable states and analyse the evolution of quantum…

量子物理 · 物理学 2022-01-26 Peter-Maximilian Ney , Simone Notarnicola , Simone Montangero , Giovanna Morigi

We present, in the framework of the canonical quantization, a class of nonlinear Schroedinger equations with a complex nonlinearity describing, in the mean field approximation, systems of collectively interacting particles. The quantum…

统计力学 · 物理学 2009-11-11 A. M. Scarfone