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We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Incorporating the inherent heterogeneity of living systems into models of active nematics is essential to provide a more realistic description of biological processes such as bacterial growth, cell dynamics and tissue development.…

Soft Condensed Matter · Physics 2024-11-06 Alexander J. H. Houston , Nigel J. Mottram

The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic…

Soft Condensed Matter · Physics 2024-11-26 Tim Dullweber , Roman Belousov , Anna Erzberger

As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell…

Analysis of PDEs · Mathematics 2022-11-09 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Manuel Doblaré , Eamonn A. Gaffney

During the morphogenesis of tissues and tumors, cells often interact with neighbors with different mechanical properties, but the understanding of its role is lacking. We use active Brownian Dynamics simulations to study a model co-culture…

Soft Condensed Matter · Physics 2021-01-07 Supravat Dey , Moumita Das

Biofilm infections on medical implants are difficult to eradicate because insufficient nutrient availability promotes antibiotic-tolerant persister cells that survive treatment and reseed growth. Existing mathematical models usually omit…

Populations and Evolution · Quantitative Biology 2025-09-23 Parna Mandal , Nigel J. Mottram , Sean McGinty

Through extensive studies of dynamical system modeling cellular growth and reproduction, we find evidence that complexity arises in multicellular organisms naturally through evolution. Without any elaborate control mechanism, these systems…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Chikara Furusawa , Kunihiko Kaneko

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

Molecular motion through pores plays a crucial role in various natural and industrial processes. One of the most fascinating features of biological channel-facilitated transport is a stochastic gating process, when the channels dynamically…

Chemical Physics · Physics 2018-12-20 Aram Davtyan , Anatoly B. Kolomeisky

The directed migration of cells toward stiffer substrate regions or durotaxis is relevant to tissue development and tumor progression. Here, we introduce a phenomenological model for single cell durotaxis that incorporates both elastic…

Soft Condensed Matter · Physics 2024-12-24 Subhaya Bose , Haiqin Wang , Xinpeng Xu , Arvind Gopinath , Kinjal Dasbiswas

Various bacterial strains exhibit colonial branching patterns during growth on poor substrates. These patterns reflect bacterial cooperative self-organization and cybernetic processes of communication, regulation and control employed during…

Condensed Matter · Physics 2015-06-25 Ido Golding , Yonathan Kozlovsky , Inon Cohen , Eshel Ben-Jacob

In biological tissues, it is now well-understood that mechanical cues are a powerful mechanism for pattern regulation. While much work has focused on interactions between cells and external substrates, recent experiments suggest that cell…

Soft Condensed Matter · Physics 2017-11-01 Michael Czajkowski , Dapeng Bi , M. Lisa Manning , M. Cristina Marchetti

Biofilms are complex structures which are inhabited by numerous amount of different species of microorganisms. Due to their ubiquity, they influence human life on an everyday basis. It is therefore important to understand the interactions…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Felix Klempt , Hendrik Geisler , Meisam Soleimani , Philipp Junker

We introduce a generic, purely mechanical model for environment sensitive motion of mammalian cells that is applicable to chemotaxis, haptotaxis, and durotaxis as modes of motility. It is able to theoretically explain all relevant…

Cell Behavior · Quantitative Biology 2016-05-09 Patrick Bitter , Kristof Leon Beck , Peter Lenz

A hybrid stochastic individual-based model of proliferating cells with chemotaxis is presented. The model is expressed by a branching diffusion process coupled to a partial differential equation describing concentration of a chemotactic…

Probability · Mathematics 2023-02-16 Radosław Wieczorek

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

In nature, microorganisms must often cope with hostile environmental conditions. To do so they have developed sophisticated cooperative behavior and intricate communication capabilities, such as: direct cell-cell physical interactions via…

Condensed Matter · Physics 2007-05-23 Eshel Ben-Jacob , Inon Cohen , Ido Golding , Yonathan Kozlovsky

Microfiltration technology is a widely used engineering strategy for fresh water production and water treatment. The major concern in many applications is the formation of a biological fouling layer leading to increased hydraulic resistance…

Biological Physics · Physics 2021-04-12 V. Luongo , M. R. Mattei , L. Frunzo , B. D'Acunto , K. Gupta , S. Chellam , N. G. Cogan

Nutrient gradients and limitations play a pivotal role in the life of all microbes, both in their natural habitat as well as in artificial, microfluidic systems. Spatial concentration gradients of nutrients in densely packed cell…

We study time continuous branching processes with exponentially distributed lifetimes, with two types of cells that proliferate according to binary fission. A range of possible system dynamics are considered, each of which is characterized…

Probability · Mathematics 2022-04-27 Nam H Nguyen , Marek Kimmel