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Bacteria often form surface-bound communities, embedded in a self-produced extracellular matrix, called biofilms. Quantitative studies of their growth have typically focused on unconfined expansion above solid or semi-solid surfaces,…

Soft Condensed Matter · Physics 2022-05-11 George T. Fortune , Nuno M. Oliveira , Raymond E. Goldstein

Epitaxial films evolve on time and length scales that are inaccessible to atomistic computer simulation methods like molecular dynamics (MD). To numerically predict properties for such systems, a common strategy is to employ kinetic Monte…

Materials Science · Physics 2020-04-08 William Janke , Thomas Speck

For a biological system to grow and expand, mass must be transferred from the environment to the system and be assimilated into its reaction network. Here, I characterize the biomass transfer process for growing autocatalytic systems. By…

Molecular Networks · Quantitative Biology 2026-02-05 Wei-Hsiang Lin

The dynamics of cellular pattern formation is crucial for understanding embryonic development and tissue morphogenesis. Recent studies have shown that human dermal fibroblasts cultured on liquid crystal elastomers can exhibit an increase in…

Biological Physics · Physics 2023-08-25 Mengyang Gu , Xinyi Fang , Yimin Luo

Dielectric barrier discharges (DBDs) are widely used in applications such as ozone generation and volatile organic compound treatment, where performance can be enhanced through catalyst integration. A fundamental understanding of reactive…

During the last decades, medical observations and multiscale data concerning tumor growth are mounting. At the same time, contemporary imaging techniques well established in clinical practice, provide a variety of information on real-time,…

Tissues and Organs · Quantitative Biology 2017-12-11 Markos Antonopoulos , Georgios Stamatakos

Controlling microalgae cultivation, i.e., a crucial industrial topic today, is a challenging task since the corresponding modeling is complex, highly uncertain and time-varying. A model-free control setting is therefore introduced in order…

Systems and Control · Computer Science 2021-01-25 Sihem Tebbani , Mariana Titica , Cédric Join , Michel Fliess , Didier Dumur

We consider a free boundary problem for a system of PDEs, modeling the growth of a biological tissue. A morphogen, controlling volume growth, is produced by specific cells and then diffused and absorbed throughout the domain. The geometric…

Analysis of PDEs · Mathematics 2017-11-22 Alberto Bressan , Marta Lewicka

Organogenesis is a tightly regulated process that has been studied experimentally for decades. Computational models can help to integrate available knowledge and to better understand the underlying regulatory logic. We are currently…

Tissues and Organs · Quantitative Biology 2012-02-03 Philipp Germann , Dzianis Menshykau , Simon Tanaka , Dagmar Iber

Many physical systems can be modeled as large sets of domains "glued" together along boundaries - biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet along geopolitical boundaries, and metallic…

Materials Science · Physics 2015-12-30 Jeremy K. Mason , Emanuel A. Lazar , Robert D. MacPherson , David J. Srolovitz

As potential progenitors of several exotic phenomena including gravitational wave sources, magnetic stars, and Be stars, close massive binary systems probe a crucial area of the parameter space in massive star evolution. Despite the…

Numerical models of biomass particle pyrolysis focus on either the solid particle evolution or on the surrounding gas-phase dynamics, neglecting the coupled interactions between the two. This work addresses this limitation by proposing a…

Fluid Dynamics · Physics 2026-01-23 Riccardo Caraccio , Edoardo Cipriano , Alessio Frassoldati , Tiziano Faravelli

We develop a new four-phase tumor growth model with angiogenesis, derived from a diffuse-interface mixture model composed by a viable, a necrotic, a liquid and an angiogenetic component, coupled with two massless chemicals representing a…

Numerical Analysis · Mathematics 2022-03-07 Abramo Agosti , Alice Giotta Lucifero , Sabino Luzzi

The potential of industrial applications for microalgae has motivated their recent fast development. Their growth dynamics depends on different factors that must be optimized. Since they get their energy from photosynthesis, light is a key…

Numerical Analysis · Mathematics 2021-08-24 Olivier Bernard , Liu-Di Lu

Active nematics are the nonequilibrium analog of passive liquid crystals in which anisotropic units consume free energy to drive emergent behavior. Similar to liquid crystal (LC) molecules in displays, ordering and dynamics in active…

Quantitative Methods · Quantitative Biology 2022-10-10 Japinder Nijjer , Mrityunjay Kothari , Changhao Li , Thomas Henzel , Qiuting Zhang , Jung-Shen B. Tai , Shuang Zhou , Sulin Zhang , Tal Cohen , Jing Yan

As small solid grains grow into larger ones in protoplanetary nebulae, or in the cloudy atmospheres of exoplanets, they generally form porous aggregates rather than solid spheres. A number of previous studies have used highly sophisticated…

Earth and Planetary Astrophysics · Physics 2015-06-18 Jeffrey N. Cuzzi , Paul R. Estrada , Sanford S. Davis

We investigate a mathematical model for a bacterial population in a continuously stirred tank reactor with wall attachment. The model couples a free-boundary value problem for substrate diffusion in the one-dimensional biofilm with a system…

Analysis of PDEs · Mathematics 2026-03-12 Katerina Nik , Christoph Walker

The generation of anisotropic shapes occurs during morphogenesis of almost all organisms. With the recent renewal of the interest in mechanical aspects of morphogenesis, it has become clear that mechanics contributes to anisotropic forms in…

Cell Behavior · Quantitative Biology 2018-04-19 Jean-Daniel Julien , Arezki Boudaoud

An overarching computational framework unifying several optical theories to describe the temporal evolution of gold nanoparticles (GNPs) during a seeded growth process is presented. To achieve this, we used the inexpensive and widely…

Materials Science · Physics 2019-09-12 M. Reza. Andalibi , Alexander Wokaun , Paul Bowen , Andrea Testino

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón