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We initiate the development of a theory of the elasticity of nanoscale objects based upon new physical concepts which remain properly defined on the nanoscale. This theory provides a powerful way of understanding nanoscale elasticity in…

Materials Science · Physics 2016-08-31 D. E. Segall , Sohrab Ismail-Beigi , T. A. Arias

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

One of the main properties of biological systems is modularity, which manifests itself at all levels of their organization, starting with the level of molecular genetics, ending with the level of whole organisms and their communities. In a…

Neural and Evolutionary Computing · Computer Science 2018-11-20 Anton Eremeev , Alexander Spirov

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

Data science has emerged from the proliferation of digital data, coupled with advances in algorithms, software and hardware (e.g., GPU computing). Innovations in structural biology have been driven by similar factors, spurring us to ask:…

Quantitative Methods · Quantitative Biology 2018-10-03 Cameron Mura , Eli J. Draizen , Philip E. Bourne

Redox biology underpins signalling, metabolism, immunity, and adaptation, yet lacks a unifying theoretical framework capable of formalising structure, function, and dynamics. Current interpretations rely on descriptive catalogues of…

Biomolecules · Quantitative Biology 2026-02-10 James N. Cobley , Michalis G. Nikolaidis

This work focuses on the bearing rigidity theory, namely the branch of knowledge investigating the structural properties necessary for multi-element systems to preserve the inter-units bearings when exposed to deformations. The original…

Systems and Control · Computer Science 2021-03-24 Giulia Michieletto , Angelo Cenedese , Daniel Zelazo

The physiological tradition of biological research analyzes biological systems using reduced descriptions much as an engineer uses a 'black box' description of an amplifier. Simple models have been used by physiologists for a very long…

Other Quantitative Biology · Quantitative Biology 2012-07-06 Bob Eisenberg

Spinodal decomposition process in the system of immiscible PbTe/CdTe compounds is analyzed as an example of a self-organizing structure. The immiscibility of the constituents leads to the observed morphological transformations like…

Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored…

Metric Geometry · Mathematics 2017-08-15 Ciprian S. Borcea , Ileana Streinu

Plant morphogenesis relies on dynamic growth deformations at the cell and tissue scales driven by osmotic fluxes. A mechanistic understanding of this phenomenon demands a physical framework that integrates cell imbibition, tissue mechanics,…

Biological Physics · Physics 2025-12-08 Hadrien Oliveri , Christophe Godin , Ibrahim Cheddadi

In biomedical applications of machine learning, relevant information often has a rich structure that is not easily encoded as real-valued predictors. Examples of such data include DNA or RNA sequences, gene sets or pathways, gene…

Genomics · Quantitative Biology 2019-10-16 Jake Crawford , Casey S. Greene

A dynamic model for failures in biological organisms is proposed and studied both analytically and numerically. Each cell in the organism becomes dead under sufficiently strong stress, and is then allowed to be healed with some probability.…

Cell Behavior · Quantitative Biology 2009-11-11 J. Choi , M. Y. Choi , B. -G. Yoon

We derive a course grained, continuum model of the 2D vertex model, applicable for different underlying geometries, and allowing for analytical analysis of an otherwise numerical model. Using a geometric approach and out--of--equilibrium…

Soft Condensed Matter · Physics 2022-08-31 Doron Grossman , Jean-Francois Joanny

Bone is a biomaterial undergoing continuous renewal. The renewal process is known as bone remodelling and is operated by bone-resorbing cells (osteoclasts) and bone-forming cells (osteoblasts). Both biochemical and biomechanical regulatory…

Tissues and Organs · Quantitative Biology 2014-05-21 Peter Pivonka , Pascal R. Buenzli , Stefan Scheiner , Christian Hellmich , Colin R. Dunstan

Algorithmic robustness refers to the sustained performance of a computational system in the face of change in the nature of the environment in which that system operates or in the task that the system is meant to perform. Below, we motivate…

Artificial Intelligence · Computer Science 2023-11-14 David Jensen , Brian LaMacchia , Ufuk Topcu , Pamela Wisniewski

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

With the advent of high-performance computing, Bayesian methods are increasingly popular tools for the quantification of uncertainty throughout science and industry. Since these methods impact the making of sometimes critical decisions in…

Statistics Theory · Mathematics 2016-05-20 Houman Owhadi , Clint Scovel , Tim Sullivan

Biosystems contain an almost infinite amount of vital important details, which together ensure their life. There are, however, some common structures and reactions in the systems: the homochirality of carbohydrates and proteins, the…

Biomolecules · Quantitative Biology 2018-03-06 Soren Toxvaerd

Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these interactions and…

Soft Condensed Matter · Physics 2020-07-07 Yangkun Du , Yipin Su , Chaofeng Lu , Weiqiu Chen , Michel Destrade