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Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. The manner in which a biological tissue and its subsystems remodel their structure is treated in a continuum mechanical…

Tissues and Organs · Quantitative Biology 2009-11-11 K. Garikipati , J. E. Olberding , E. M. Arruda , K. Grosh , H. Narayanan , S. Calve

This short text summarizes the work in biology proposed in our book, Perspectives on Organisms, where we analyse the unity proper to organisms by looking at it from different viewpoints. We discuss the theoretical roles of biological time,…

Other Computer Science · Computer Science 2019-03-14 Giuseppe Longo , Maël Montévil

It is well known that the classical recombination equation for two parent individuals is equivalent to the law of mass action of a strongly reversible chemical reaction network, and can thus be reformulated as a generalised gradient system.…

Dynamical Systems · Mathematics 2023-04-26 Frederic Alberti

A qualitatively new, much more liberal and efficient organisation of science is proposed and justified, in connection with growing debate about further role and development of fundamental science. Although the key ideas can be explained…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

This dissertation presents a multifaceted look into the structural decomposition of permutation classes. The theory of permutation patterns is a rich and varied field, and is a prime example of how an accessible and intuitive definition…

Combinatorics · Mathematics 2014-10-13 Cheyne Homberger

Proteins are the common constituents of all living cells. They are molecular machines that interact with each other as well as with other cell products and carry out a dizzying array of functions with distinction. These interactions follow…

Biomolecules · Quantitative Biology 2022-05-25 Tatjana Škrbić , Trinh Xuan Hoang , Achille Giacometti , Amos Maritan , Jayanth R. Banavar

Biology-derived algorithms are an important part of computational sciences, which are essential to many scientific disciplines and engineering applications. Many computational methods are derived from or based on the analogy to natural…

Optimization and Control · Mathematics 2010-03-10 Xin-She Yang

Zipf's law implies the statistical distributions of hyperbolic type, which can describe the properties of stability and entropy loss in linguistics. We present the information theory from which follows that if the system is described by…

Biological Physics · Physics 2014-03-31 K. Lukierska-Walasek , K. Topolski , K. Trojanowski

The ambitious and ultimate research purpose in Systems Biology is the understanding and modelling of the cell's system. Although a vast number of models have been developed in order to extract biological knowledge from complex systems…

Biomolecules · Quantitative Biology 2007-05-23 T. Ochiai , J. C. Nacher , T. Akutsu

The dynamic instability of the living systems and the "superposition" of different forms of randomness are viewed as a component of the contingently increasing organization of life along evolution. We briefly survey how classical and…

Other Quantitative Biology · Quantitative Biology 2011-04-07 Marcello Buiatti , Giuseppe Longo

While "complexity science" has achieved significant successes in several interdisciplinary fields such as economics and biology, it is only a very recent observation that legal systems -- from the way legal texts are drafted and connected…

Physics and Society · Physics 2025-01-08 Pierpaolo Vivo , Daniel M. Katz , J. B. Ruhl

A new model for biological growth is introduced that couples the geometry of an organism (or part of the organism) to the flow and deposition of material. The model has three dynamical variables (a) a Riemann metric tensor for the geometry,…

Biological Physics · Physics 2010-10-05 Julia Pulwicki , David Hobill

We consider Markov jump processes describing structured populations with interactions via density dependance. We propose a Markov construction with a distinguished individual which allows to describe the random tree and random sample at a…

Probability · Mathematics 2022-07-20 Vincent Bansaye

Basic issues of the general model-building framework of the mechanics of complex bodies are discussed. Attention is focused on the representation of the material elements, the conditions for the existence of ground states in conservative…

Mathematical Physics · Physics 2015-05-13 Paolo Maria Mariano

Mathematical models play an increasingly important role in the interpretation of biological experiments. Studies often present a model that generates the observations, connecting hypothesized process to an observed pattern. Such generative…

Populations and Evolution · Quantitative Biology 2014-06-18 Steven A. Frank

Diversity is a fundamental feature of ecosystems, even when the concept of ecosystem is extended to sociology or economics. Diversity can be intended as the count of different items, animals, or, more generally, interactions. There are two…

Physics and Society · Physics 2016-09-14 Andrea Tacchella , Riccardo Di Clemente , Andrea Gabrielli , Luciano Pietronero

Complex systems, in many different scientific sectors, show coarse-grain properties with simple growth laws with respect to fundamental microscopic algorithms. We propose a classification scheme of growth laws which includes human aging,…

Biological Physics · Physics 2012-07-17 P. Castorina , P. Blanchard

We metaphorically call "Grammar of Biology" a small field of genomic research, whose main objective is to search for intrinsic DNA sequence properties. Erwin Chargaff inaugurated it back in 50s, but since then little progress has been made.…

Genomics · Quantitative Biology 2019-06-13 Michel Eduardo Beleza Yamagishi , Roberto Hirochi Herai

It is a common belief that in any environment where life is possible, life will be generated. Here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes. Based on equilibrium…

Information Theory · Computer Science 2007-11-29 Oded Kafri

Development combines three basic processes asymmetric --- cell division, signaling and gene regulation --- in a multitude of ways to create an overwhelming diversity of multicellular life-forms. Here, we attempt to chart this diversity…

Molecular Networks · Quantitative Biology 2020-01-01 Somya Mani , Tsvi Tlusty