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Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

Optimization and Control · Mathematics 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

Inhomogeneous polymers play an important role in various cellular processes, both in nature and in biotechnological applications. At finite temperatures, inhomogeneous polymers exhibit non-trivial thermal fluctuations. In a broader context,…

Statistical Mechanics · Physics 2017-02-02 Yohai Bar-Sinai , Eran Bouchbinder

Intact-organism imaging of Drosophila larvae reveals and quantifies chromatin-aqueous phase separation. The chromatin can be organized near the lamina layer of the nuclear envelope, conventionally fill the nucleus, be organized centrally,…

Biological Physics · Physics 2020-10-21 Gaurav Bajpai , Daria Amiad-Pavlov , Dana Lorber , Talila Volk , Samuel Safran

The effect of the microscopic structure of a pore on polymer translocation is studied using Langevin dynamics simulation, and the consequence of introducing patterned stickiness inside the pore is investigated. It is found that the…

Soft Condensed Matter · Physics 2013-02-01 Jack A. Cohen , Abhishek Chaudhuri , Ramin Golestanian

Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

Under high cylindrical confinement, segments of ring polymers can be localized along the long axis of the cylinder by introducing internal loops within the ring polymer. The emergent organization of the polymer segments occurs because of…

Soft Condensed Matter · Physics 2026-04-06 Sanjay Bhandarkar , Debarshi Mitra , Jürgen Horbach , Apratim Chatterji

We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space. We derive a system of partial differential equations describing the dynamics of…

Analysis of PDEs · Mathematics 2021-04-08 Matthieu Alfaro , Quentin Griette , Denis Roze , Benoît Sarels

We study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

Soft Condensed Matter · Physics 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack

How genes affect tissue scale organization remains a longstanding biological puzzle. As experimental efforts aim to quantify gene expression, chromatin organization, cellular structure, and tissue structure, computational modeling lags…

Tissues and Organs · Quantitative Biology 2025-03-04 Tao Zhang , Sarthak Gupta , Madeline A. Lancaster , J. M. Schwarz

Fluid-structure interactions between active and passive components are important for many biological systems to function. A particular example is chromatin in the cell nucleus, where ATP-powered processes drive coherent motions of the…

Soft Condensed Matter · Physics 2024-02-15 Scott Weady , David B. Stein , Alexandra Zidovska , Michael J. Shelley

We consider two stable heteroclinic cycles rotating in opposite directions, coupled via diffusive terms. A complete synchronization in this system is impossible, and numerical exploration shows that chaos is abundant at low levels of…

Chaotic Dynamics · Physics 2023-06-14 Arkady Pikovsky , Alexander Nepomnyashchy

Several processes in the cell, such as gene regulation, start when key proteins recognise and bind to short DNA sequences. However, as these sequences can be hundreds of million times shorter than the genome, they are hard to find by simple…

Subcellular Processes · Quantitative Biology 2021-01-27 Markus Nyberg , Tobias Ambjörnsson , Per Stenberg , and Ludvig Lizana

In the crowded eukaryotic nucleus, euchromatin and heterochromatin segregate into distinct compartments, a phenomenon often attributed to homotypic interactions mediated by liquid liquid phase separation of chromatin associated proteins.…

Soft Condensed Matter · Physics 2025-05-27 Luming Meng , Boping Liu , Qiong Luo

We explore the coupling between the helix-coil and coil-globule transitions of a helical polymer using Monte Carlo simulations. A very rich state diagram is found. Each state is characterized by a specific configuration of the chain which…

Soft Condensed Matter · Physics 2007-05-23 Vikas Varshney , Gustavo A. Carri

We develop a correlation-corrected transport theory in order to predict ionic and polymer transport properties of membrane nanopores in physical conditions where mean-field electrostatics breaks down. The experimentally observed low KCl…

Soft Condensed Matter · Physics 2014-11-06 Sahin Buyukdagli , Tapio Ala-Nissila

A prominent organizational feature of bacterial chromosomes was revealed by Hi-C experiments, indicating anomalously high contacts between the left and right chromosomal arms. These long-range contacts have been attributed to various…

Biological Physics · Physics 2018-10-11 Christiaan A. Miermans , Chase P. Broedersz

We study the Langevin dynamics of a heteropolymer by means of a mode-coupling approximation scheme, giving rise to a set of coupled integro-differential equations relating the response and correlation functions. The analysis shows that…

Disordered Systems and Neural Networks · Physics 2007-05-23 Estelle Pitard , Eugene I. Shakhnovich

Biological processes underlying the basic functions of a cell involve complex interactions between genes. From a technical point of view, these interactions can be represented through a graph where genes and their connections are,…

Methodology · Statistics 2020-11-24 Thi Kim Hue Nguyen , Monica Chiogna

A biophysical model of epimorphic regeneration based on a continuum percolation process of fully penetrable disks in two dimensions is proposed. All cells within a randomly chosen disk of the regenerating organism are assumed to receive a…

Biological Physics · Physics 2023-11-06 Vladimir García-Morales
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