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This paper is a first step to chase the ambitious objective of developing a mathmatical theory of living systems. The contents refer modeling large systems of interacting living entities with the aim of describing their collective behaviors…

The production of mechanical stresses in living organisms largely relies on localized, force-generating active units embedded in filamentous matrices. Numerical simulations of discrete fiber networks with fixed boundaries have shown that…

Biological Physics · Physics 2018-05-10 Pierre Ronceray , Chase Broedersz , Martin Lenz

Active matter, encompassing natural systems, converts surrounding energy to sustain autonomous motion, exhibiting unique non-equilibrium behaviors such as active turbulence and phase separation. In this study, we develop a continuum…

Soft Condensed Matter · Physics 2026-05-06 Sohail Ahmed , Zixiang Lin , Zijie Qu

We introduce and study a class of active matter models in which we keep track of fuel (stored energy) consumption. They are by construction, thermodynamically consistent. Using these models it is possible for us to observe and follow how…

Soft Condensed Matter · Physics 2025-07-22 Tanniemola B. Liverpool , Kristian K. Müller-Nedebock , Xichen Chao , Chang Yuan

In this work, we report a direct measurement of the forces exerted by a tubulin/kinesin active nematic gel as well as its complete rheological characterization, including the quantification of its shear viscosity, {\eta}, and its activity…

Soft Condensed Matter · Physics 2024-04-22 Ignasi Vélez-Cerón , Pau Guillamat , Francesc Sagués , Jordi Ignés-Mullol

Recent experiments on active materials, such as dense bacterial suspensions and microtubule-kinesin motor mixtures, show a promising potential for achieving self-sustained flows. However, to develop active microfluidics it is necessary to…

Soft Condensed Matter · Physics 2019-01-23 Santhan Chandragiri , Amin Doostmohammadi , Julia M Yeomans , Sumesh P Thampi

We use Langevin dynamics simulations to study dynamical behaviour of a dense planar layer of active semi-flexible filaments. Using the strength of active force and the thermal persistence length as parameters, we map a detailed phase…

Soft Condensed Matter · Physics 2018-02-21 K. R. Prathyusha , Silke Henkes , Rastko Sknepnek

The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as open systems. This representation of kinetic evolution has…

Mathematical Physics · Physics 2025-03-18 V. I. Gerasimenko

Active filaments, such as microtubules with attached cargo-carrying motor proteins, are important dynamic structures for fluid transport in and around living cells. The mathematical models of active filaments appearing in the literature…

Fluid Dynamics · Physics 2025-08-19 Ilteber R. Ozdemir , Bethany Clarke , Yongyun Hwang , Eric E. Keaveny

Cells control fluid flows with a spatial and temporal precision that far exceeds the capabilities of current microfluidic technologies. Cells achieve this superior spatio-temporal control by harnessing dynamic networks of cytoskeleton and…

Soft Condensed Matter · Physics 2025-05-26 Fan Yang , Shichen Liu , Heun Jin Lee , Rob Phillips , Matt Thomson

Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

In this book chapter, we review how systems of simple motile agents can be used as a pathway to intelligent systems. It is a well known result from nature that large groups of entities following simple rules, such as swarms of animals, can…

Soft Condensed Matter · Physics 2025-12-17 Julian Jeggle , Raphael Wittkowski

Specific features of two-dimensional nematodynamics give rise to shortfalls of the tensor representation of the nematic order parameter commonly used in computations, especially in theory of active matter. The alternative representation in…

Soft Condensed Matter · Physics 2022-09-21 L. M. Pismen

Active matter has played a pivotal role in advancing our understanding of non-equilibrium systems, leading to a fundamental shift in the study of biophysical phenomena. The foundation of active matter research is built on assumptions…

Soft Condensed Matter · Physics 2025-06-09 Varun Venkatesh , Niels de Graaf Sousa , Amin Doostmohammadi

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

The field of active nematics has traditionally employed descriptions based on dipolar activity, with interactions that align along a single axis. However, it has been theoretically predicted that interactions with a substrate, prevalent in…

Active matter is naturally out of equilibrium which results in the emergence of diverse dynamic steady states, including the omnipresent chaotic state known as the active turbulence. However, much less is known how active systems…

Soft Condensed Matter · Physics 2023-04-07 Nika Kralj , Miha Ravnik , Žiga Kos

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article. Based on this…

Systems and Control · Computer Science 2020-11-24 Huseyin Coskun

Epithelial cell monolayers show remarkable displacement and velocity correlations over distances of ten or more cell sizes that are reminiscent of supercooled liquids and active nematics. We show that many observed features can be described…

Soft Condensed Matter · Physics 2020-04-22 Silke Henkes , Kaja Kostanjevec , J. Martin Collinson , Rastko Sknepnek , Eric Bertin
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