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We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissues segregated, as observed during vertebrate embryo…

Analysis of PDEs · Mathematics 2022-03-25 Pierre Degond , Sophie Hecht , Michèle Romanos , Ariane Trescases

We propose a multiscale chemo-mechanical model of cancer tumour development in an epithelial tissue. The model is based on transformation of normal cells into the cancerous state triggered by a local failure of spatial synchronisation of…

Cell Behavior · Quantitative Biology 2015-12-16 D. A. Bratsun , D. V. Merkuriev , A. P. Zakharov , L. M. Pismen

A spatiotemporal noise is assumed to reflect the environmental fluctuation in a spatially extended tumor system. We introduce firstly the structure factor to reveal the invasive tumor growth quantitatively. The homogenous environment can…

Other Quantitative Biology · Quantitative Biology 2009-11-13 Wei-Rong Zhong , Yuan-Zhi Shao , Li Li , Feng-Hua Wang , Zhen-Hui He

Cellularized tissue and polymer networks can both transition from floppy to rigid as a function of their control parameters, and, yet, the two systems often mechanically interact, which may affect their respective rigidities. To study this…

Cell Behavior · Quantitative Biology 2020-06-30 Amanda Parker , M. Cristina Marchetti , M. Lisa Manning , J. M. Schwarz

We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a…

Analysis of PDEs · Mathematics 2021-09-23 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

Multicellular collective migration is a ubiquitous strategy of cells to translocate spatially in diverse tissue environments to accomplish a wide variety of biological phenomena, viz. embryonic development, wound healing, and tumor…

Cell Behavior · Quantitative Biology 2022-01-20 Ushasi Roy , Tyler Collins , Mohit K. Jolly , Parag Katira

Tuning of active prestress e.g. through activity of molecular motors constitutes a powerful cellular tool to adjust cellular stiffness through nonlinear material properties. Understanding this tool is an important prerequisite for our…

Soft Condensed Matter · Physics 2018-08-24 Elisabeth Fischer-Friedrich

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

Cell proliferation, apoptosis, and myosin-dependent contraction can generate elastic stress and strain in living tissues, which may be dissipated by internal rearrangement through cell topological transition and cytoskeletal reorganization.…

Biological Physics · Physics 2021-12-07 Chaozhen Wei , Min Wu

We use a custom shear cell coupled to an optical microscope to investigate at the particle level the yielding transition in concentrated emulsions subjected to an oscillatory shear deformation. By performing experiments lasting thousands of…

Soft Condensed Matter · Physics 2014-08-27 E. D. Knowlton , D. J. Pine , L. Cipelletti

We present a phenomenological treatment of diffusion-driven martensitic phase transformations in multi-component crystalline solids that arise from non-convex free energies in mechanical and chemical variables. The treatment describes…

Chemical Physics · Physics 2016-09-29 Shiva Rudraraju , Anton Van der Ven , Krishna Garikipati

We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particles within a porous material. In this model, the macroscopic…

Analysis of PDEs · Mathematics 2026-04-14 Christos Nikolopoulos , Michael Eden , Adrian Muntean

We study suspensions of oblate rigid particles in a viscous fluid for different values of the particle volume fractions. Direct numerical simulations have been performed using a direct-forcing immersed boundary method to account for the…

Fluid Dynamics · Physics 2021-02-23 M. Niazi Ardekani , P. Costa , W. -P. Breugem , F. Picano , L. Brandt

The migration behaviors of cancer cells are known to be heterogeneous. However, the interplay between the adhesion interactions, dynamical shape changes and fluid flows in regulating cell migration heterogeneity and plasticity during cancer…

Soft Condensed Matter · Physics 2020-01-22 Himadri S Samanta

Solid tumours have the ability to assemble their own vascular network for optimizing their access to the vital nutrients. These new capillaries are morphologically different from normal physiological vessels. In particular, they have a much…

Soft Condensed Matter · Physics 2022-12-07 Davide Riccobelli , Pasquale Ciarletta

During tissue invasion individual tumor cells exhibit two interconvertible migration modes, namely mesenchymal and amoeboid migration. The cellular microenvironment triggers the switch between both modes, thereby allowing adaptation to…

Tissues and Organs · Quantitative Biology 2017-04-03 Katrin Talkenberger , Elisabetta Ada Cavalcanti-Adamda , Andreas Deutsch , Anja Voss-Böhme

We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes…

Diverse processes -- e.g., environmental pollution, groundwater remediation, oil recovery, filtration, and drug delivery -- involve the transport of colloidal particles in porous media. Using confocal microscopy, we directly visualize this…

Soft Condensed Matter · Physics 2021-03-23 Navid Bizmark , Joanna Schneider , Rodney D. Priestley , Sujit S. Datta

The motility of a cell can be triggered or inhibited not only by an applied force but also by a mechanically neutral force couple. This type of loading, represented by an applied stress and commonly interpreted as either squeezing or…

Soft Condensed Matter · Physics 2018-01-24 Thibaut Putelat , Pierre Recho , Lev Truskinovsky

The dynamics of anisotropic particles in viscous flows underpin a wide range of processes in soft matter, microfluidics, and targeted drug delivery. Here, we investigate the motion of externally driven prolate and oblate spheroids suspended…

Soft Condensed Matter · Physics 2026-03-24 Aditya Bhowmik , Kevin Stratford , Oliver Henrich , Sumesh P. Thampi