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The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

Cell blebs are protrusions of the cell membrane and can be instrumental for cell migration. We derive a continuum model for the mechanical and geometrical aspects of the onset of blebbing in terms of a force balance. It is abstract and…

Numerical Analysis · Mathematics 2020-03-03 Björn Stinner , Andreas Dedner , Adam Nixon

Biological cells can exchange messages through soluble molecules or membrane-bound receptors. In particular in the latter case, the interaction is usually located in specific regions of the interacting cells and may depend on or induce…

Quantitative Methods · Quantitative Biology 2023-12-12 Thorsten Prüstel , Martin Meier-Schellersheim

We propose a method to model metallic surfaces in Lattice Boltzmann Electrokinetics simulations (LBE), a lattice-based algorithm rooted in kinetic theory which captures the coupled solvent and ion dynamics in electrolyte solutions. This is…

Computational Physics · Physics 2020-06-19 Adelchi J. Asta , Ivan Palaia , Emmanuel Trizac , Maximilien Levesque , Benjamin Rotenberg

In order to describe two-dimensionally packed cells in epithelial tissues both mathematically and physically, there have been developed several sorts of geometrical models, such as the vertex model, the finite element model, the…

Biological Physics · Physics 2014-11-19 Yukitaka Ishimoto , Yoshihiro Morishita

We introduce a novel mesoscopic computational model based on a multiphase-multicomponent lattice Boltzmann method for the simulation of self-phoretic particles in the presence of liquid-liquid interfaces. Our model features fully resolved…

Soft Condensed Matter · Physics 2022-06-22 Lucas Palacios , Andrea Scagliarini , Ignacio Pagonabarraga

We present LBsoft, an open-source software developed mainly to simulate the hydro-dynamics of colloidal systems based on the concurrent coupling between lattice Boltzmann methods for the fluid and discrete particle dynamics for the…

With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled…

The immersed boundary method is a mathematical formulation and numerical method for solving fluid-structure interaction problems. For many biological problems, such as models that include the cell membrane, the immersed structure is a…

Numerical Analysis · Mathematics 2018-06-07 Ondrej Maxian , Andrew T. Kassen , Wanda Strychalski

Morphogenesis is a tightly regulated process that has been studied for decades. We are developing data-based and image-basd mechanistic models for a range of developmental processes with a view to integrate the available knowledge and to…

Quantitative Methods · Quantitative Biology 2013-09-10 Denis Menshykau , Srivathsan Adivarahan , Philipp Germann , Lisa Lermuzeaux , Dagmar Iber

Over the last two decades, scientific literature has been blooming with various means of simulating epithelial cell colonies. Each of these simulations can be separated by their respective efficiency (expressed in terms of consumed…

Computational Physics · Physics 2022-12-20 Kevin Höllring , Ana-Sunčana Smith

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

We discuss the Lattice Boltzmann-Particle Dynamics (LBPD) multiscale paradigm for the simulation of complex states of flowing matter at the interface between Physics, Chemistry and Biology. In particular, we describe current large-scale…

Computational Physics · Physics 2019-06-05 Massimo Bernaschi , Simone Melchionna , Sauro Succi

A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular…

Biological Physics · Physics 2007-06-26 Elijah Flenner , Francoise Marga , Adrian Neagu , Ioan Kosztin , Gabor Forgacs

In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells,…

Analysis of PDEs · Mathematics 2017-08-24 Andrey Piatnitski , Mariya Ptashnyk

During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and numerous experiments confirm the viscoelastic properties of…

Tissues and Organs · Quantitative Biology 2017-10-20 M. D. Peters , D. Iber

The immersed boundary (IB) method is a mathematical and numerical framework for problems of fluid-structure interaction, treating the particular case in which an elastic structure is immersed in a viscous incompressible fluid. The IB…

Computational Engineering, Finance, and Science · Computer Science 2017-03-29 Boyce E. Griffith

The morphogenesis of cells and tissues involves an interplay between chemical signals and active forces on their surrounding surface layers. The complex interaction of hydrodynamics and material flows on such active surfaces leads to…

Cell Behavior · Quantitative Biology 2023-06-30 Sebastian Aland , Claudia Wohlgemuth

This paper presents a 2D/3D Free Surface Lattice Boltzmann Method simulation package called LBfoam for the simulation of foaming processes. The model incorporates the essential physics of foaming phenomena: gas diffusion into nucleated…

Computational Physics · Physics 2020-11-17 Mohammadmehdi Ataei , Vahid Shaayegan , Franco Costa , Sejin Han , Chul B. Park , Markus Bussmann

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns