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The importance of molecular-scale forces in sculpting biological form and function has been acknowledged for more than a century. Accounting for forces in biology is a problem that lies at the intersection of soft condensed matter physics,…

Soft Condensed Matter · Physics 2025-12-10 K. Vijay Kumar , Mandar M. Inamdar , Pramod A. Pullarkat , Gautam I. Menon

A rigorous understanding of how multicellular behaviors arise from the actions of single cells requires quantitative frameworks that bridge the gap between genetic circuits, the arrangement of cells in space, and population-level behaviors.…

Molecular Networks · Quantitative Biology 2016-02-18 Théo Maire , Hyun Youk

The metabolic processes complexity is at the heart of energy conversion in living organisms and forms a huge obstacle to develop tractable thermodynamic metabolism models. By raising our analysis to a higher level of abstraction, we develop…

Statistical Mechanics · Physics 2020-06-02 C. Goupil , H. Ouerdane , E. Herbert , Y. D'Angelo , C. Goupil

The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that…

Tissues and Organs · Quantitative Biology 2019-12-23 O. J. Maclaren , A. G. Fletcher , H. M. Byrne , P. K. Maini

Cellular automata can simulate many complex physical phenomena using the power of simple rules. The presented methodological platform expresses the concept of programmable matter in which Newtons laws of motion are one of examples. Energy…

Cellular Automata and Lattice Gases · Physics 2023-01-10 Krzysztof Pomorski , Dariusz Kotula

Identifying control strategies for biological networks is paramount for practical applications that involve reprogramming a cell's fate, such as disease therapeutics and stem cell reprogramming. Here we develop a novel network control…

Molecular Networks · Quantitative Biology 2015-08-19 Jorge G. T. Zañudo , Réka Albert

Elucidating the fitness measures optimized during the evolution of complex biological systems is a major challenge in evolutionary theory. We present experimental evidence and an analytical framework demonstrating how biochemical networks…

Molecular Networks · Quantitative Biology 2008-06-17 Raj Chakrabarti , Herschel Rabitz , George McLendon

The methodology named LIFE (Linear-in-Flux-Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameters is reduced by accounting for correlations among the…

Optimization and Control · Mathematics 2019-03-29 Nathaniel J. Merrill , Zheming An , Sean T. McQuade , Federica Garin , Karim Azer , Ruth E. Abrams , Benedetto Piccoli

Biological cells are the prototypical example of active matter. Cells sense and respond to mechanical, chemical and electrical environmental stimuli with a range of behaviors, including dynamic changes in morphology and mechanical…

Computational Engineering, Finance, and Science · Computer Science 2017-02-28 Endre Somogyi , James A. Glazier

100 years after Smoluchowski introduces his approach to stochastic processes, they are now at the basis of mathematical and physical modeling in cellular biology: they are used for example to analyse and to extract features from large…

Data Analysis, Statistics and Probability · Physics 2017-03-08 David Holcman , Zeev Schuss

Medical conditions due to acute cell injury, such as stroke and heart attack, are of tremendous impact and have attracted huge amounts of research effort. The biomedical research that seeks cures for these conditions has been dominated by a…

Cell Behavior · Quantitative Biology 2019-11-25 Donald J. DeGracia , Doaa Taha , Fika Tri Anggraini , Zhi-Feng Huang

Cell formation problem is among the first obstacles the designer of cellular production systems must overcome. This paper presents a critical analysis of the various criteria and constraints considered in the literature. The objective is to…

Computational Engineering, Finance, and Science · Computer Science 2020-07-23 Menouar Boulif , Karim Atif

Droplets form a cornerstone of the spatiotemporal organization of biomolecules in cells. These droplets are controlled using physical processes like chemical reactions and imposed gradients, which are costly to simulate using traditional…

Soft Condensed Matter · Physics 2022-06-23 Ajinkya Kulkarni , Estefania Vidal-Henriquez , David Zwicker

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

Cell Behavior · Quantitative Biology 2018-08-16 Enrico Gavagnin , Christian A. Yates

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Epigenetic Tracking is a mathematical model of biological cells, originally conceived to study embryonic development. Computer simulations proved the capacity of the model to generate complex 3-dimensional cellular structures, and the…

Cell Behavior · Quantitative Biology 2015-07-07 Alessandro Fontana

A central problem in systems biology is to identify parameter values such that a biological model satisfies some behavioral constraints (\eg, time series). In this paper we focus on parameter synthesis for hybrid (continuous/discrete)…

Logic in Computer Science · Computer Science 2014-09-11 Bing Liu , Soonho Kong , Sicun Gao , Paolo Zuliani , Edmund M. Clarke

A new approach to computing the equilibria and steady-states of biomolecular systems modelled by bond graphs is presented. The approach is illustrated using a model of a biomolecular cycle representing a membrane transporter and a model of…

Molecular Networks · Quantitative Biology 2019-07-04 Peter J. Gawthrop

Cell cell and cell matrix adhesions are fundamental in all multicellular organisms. They play a key role in cellular growth, differentiation, pattern formation and migration. Cell-cell adhesion is substantial in the immune response,…

Biological Physics · Physics 2019-05-30 Rita Ungai-Salanki , Beatrix Peter , Tamas Gerecsei , Norbert Orgovan , Robert Horvath , Balint Szabo