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Bone remodelling maintains the functionality of skeletal tissue by locally coordinating bone-resorbing cells (osteoclasts) and bone-forming cells (osteoblasts) in the form of Bone Multicellular Units (BMUs). Understanding the emergence of…

Tissues and Organs · Quantitative Biology 2011-05-26 Pascal R Buenzli , Peter Pivonka , David W Smith

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

The gradual accumulation of damage and dysregulation during the aging of living organisms can be quantified. Even so, the aging process is complex and has multiple interacting physiological scales -- from the molecular to cellular to whole…

Quantitative Methods · Quantitative Biology 2021-05-06 Spencer Farrell , Garrett Stubbings , Kenneth Rockwood , Arnold Mitnitski , Andrew Rutenberg

Bone is a biomaterial undergoing continuous renewal. The renewal process is known as bone remodelling and is operated by bone-resorbing cells (osteoclasts) and bone-forming cells (osteoblasts). Both biochemical and biomechanical regulatory…

Tissues and Organs · Quantitative Biology 2014-05-21 Peter Pivonka , Pascal R. Buenzli , Stefan Scheiner , Christian Hellmich , Colin R. Dunstan

Many people suffering from skin disorders such as chronic wounds, non-healing ulcers, and diabetic ulcers need skin repair and regeneration. Aside from the diseases listed above, the industry needed a skin rejuvenation system and…

Tissues and Organs · Quantitative Biology 2021-10-08 Mohammadreza Ahmadi

The cells and tissues that make up our body juggle contradictory mechanical demands. It is crucial for their survival to be able to withstand large mechanical loads, but it is equally crucial for them to produce forces and actively change…

Biological Physics · Physics 2019-03-22 Federica Burla , Yuval Mulla , Bart E. Vos , Anders Aufderhorst-Roberts , Gijsje H. Koenderink

We model the dynamics of a processive or rotary molecular motor using a renewal processes, in line with the work initiated by Svoboda, Mitra and Block. We apply a functional technique to compute different types of multiple-time correlation…

Statistical Mechanics · Physics 2007-05-23 Jaime E. Santos , Thomas Franosch , Andrea Parmeggiani , Erwin Frey

Erythropoiesis is a mechanism for the production of red blood cells by cellular differentiation. It is based on amplification steps due to an interplay between renewal and differentiation in the successive cell compartments from stem cells…

Probability · Mathematics 2019-12-12 Celine Bonnet , Sylvie Méléard

Living cells exhibit a complex organization comprising numerous compartments, among which are RNA- and protein-rich membraneless, liquid-like organelles known as biomolecular condensates. Energy-consuming processes regulate their formation…

Healing of soft biological tissue is the process of self-recovering or self-repairing the injured or damaged extracellular matrix (ECM). Healing is assumed to be stress-driven, with the objective of returning to a homeostatic stress metrics…

Medical Physics · Physics 2019-12-17 Yiqian He , Di Zuo , Klaus Hackl , Haitian Yang , S. Jamaleddin Mousavi , Stéphane Avril

Amoeboid motion is a dynamic mode of cell motility essential for processes such as the immune response and wound healing. This review examines recent developments in the mathematical and computational modeling of amoeboid crawling, focusing…

Biological Physics · Physics 2026-03-17 Sergio Alonso , Carsten Beta

We introduce the notion of cell division-induced activity and show that the cell division generates extensile forces and drives dynamical patterns in cell assemblies. Extending the hydrodynamic models of lyotropic active nematics we…

Soft Condensed Matter · Physics 2015-08-07 Amin Doostmohammadi , Sumesh P. Thampi , Thuan B. Saw , Chwee T. Lim , Benoit Ladoux , Julia M. Yeomans

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

Computational biomechanics of the brain for neurosurgery is an emerging area of research recently gaining in importance and practical applications. This review paper presents the contributions of the Intelligent Systems for Medicine…

Computational Engineering, Finance, and Science · Computer Science 2019-04-03 K. Miller , G. R. Joldes , G. Bourantas , S. K. Warfield , D. E. Hyde , R. Kikinis , A. Wittek

Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key…

Biological Physics · Physics 2018-12-07 Shiladitya Banerjee , M. Cristina Marchetti

Mechanical loading in articular cartilage drives interstitial fluid flow through the porous collagen proteoglycan matrix, generating electrokinetic signals. We investigate whether the structural organization of cartilage histology can be…

Other Quantitative Biology · Quantitative Biology 2026-03-25 Arturo Tozzi

The red blood cell (RBC) membrane is composed of a lipid bilayer and a cytoskeleton interconnected by protein junction complexes, allowing for potential sliding between the lipid bilayer and the cytoskeleton. Despite this biological…

Fluid Dynamics · Physics 2024-01-23 V. Puthumana , P. G. Chen , M. Leonetti , R. Lasserre , M. Jaeger

Cells control fluid flows with a spatial and temporal precision that far exceeds the capabilities of current microfluidic technologies. Cells achieve this superior spatio-temporal control by harnessing dynamic networks of cytoskeleton and…

Soft Condensed Matter · Physics 2025-05-26 Fan Yang , Shichen Liu , Heun Jin Lee , Rob Phillips , Matt Thomson

Through mechanical forces, biological cells remodel the surrounding collagen network, generating striking deformation patterns. Tethers-tracts of high densification and fiber alignment-form between cells, thinner bands emanate from cell…

Stem cell regeneration is a crucial biological process for most self-renewing tissues during the development and maintenance of tissue homeostasis. In developing the mathematical models of stem cell regeneration and tissue development, cell…

Quantitative Methods · Quantitative Biology 2024-01-17 Jinzhi Lei