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The growth of several biological tissues is known to be controlled in part by local geometrical features, such as the curvature of the tissue interface. This control leads to changes in tissue shape that in turn can affect the tissue's…

Tissues and Organs · Quantitative Biology 2016-12-01 Almie Alias , Pascal R Buenzli

Bone remodeling is regulated by pathways controlling the interplay of osteoblasts and osteoclasts. In this work, we apply the method of generalized modelling to systematically analyse a large class of models of bone remodeling. Our analysis…

Tissues and Organs · Quantitative Biology 2010-12-08 Martin Zumsande , Dirk Stiefs , Stefan Siegmund , Thilo Gross

Multiple myeloma is a plasma cell cancer that leads to a dysregulated bone remodeling process. We present a partial differential equation model describing the dynamics of bone remodeling with the presence of myeloma tumor cells. The model…

Cell Behavior · Quantitative Biology 2015-11-18 Catherine E. Patterson , Bruce P. Ayati , Sarah A. Holstein

Tissue growth underpins a wide array of biological and developmental processes, and numerical modeling of growing systems has been shown to be a useful tool for understanding these processes. However, the phenomena that can be captured are…

Soft Condensed Matter · Physics 2023-11-08 Andrew Killeen , Benjamin Partridge , Thibault Bertrand , Chiu Fan Lee

Lattice structures have been widely used in various applications of additive manufacturing due to its superior physical properties. If modeled by triangular meshes, a lattice structure with huge number of struts would consume massive…

Computational Geometry · Computer Science 2021-02-02 Shengjun Liu , Tao Liu , Qiang Zou , Weiming Wang , Eugeni L. Doubrovski , Charlie C. L. Wang

The accurate modeling of biological processes allows to predict the spatio-temporal behavior of living tissues by computer-aided (in-silico) testing, a useful tool for the development of medical strategies, avoiding the expenses and…

Bone's mechanostat theory describes the adaptation of bone tissues to their mechanical environment. Many experiments have investigated and observed such structural adaptation. However, there is still much uncertainty about how to define the…

Cell Behavior · Quantitative Biology 2016-04-04 C. Lerebours , P. R. Buenzli

Osteoporosis, characterized by reduced bone mineral density (BMD) and compromised bone microstructure, increases fracture risk in aging populations. While dual-energy X-ray absorptiometry (DXA) is the clinical standard for BMD assessment,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-26 Jiaxing Huang , Heng Guo , Le Lu , Fan Yang , Minfeng Xu , Ge Yang , Wei Luo

We introduce a model checking approach to diagnose the emerging of bone pathologies. The implementation of a new model of bone remodeling in PRISM has led to an interesting characterization of osteoporosis as a defective bone remodeling…

Logic in Computer Science · Computer Science 2011-11-10 Pietro Liò , Emanuela Merelli , Nicola Paoletti

In the mammalian brain, newly acquired memories depend on the hippocampus for maintenance and recall, but over time the neocortex takes over these functions, rendering memories hippocampus-independent. The process responsible for this…

Neurons and Cognition · Quantitative Biology 2021-07-02 Peter Helfer , Thomas R. Shultz

The aim of this paper is to develop a multiscale hierarchical hybrid model based on finite element analysis and neural network computation to link mesoscopic scale (trabecular network level) and macroscopic (whole bone level) to simulate…

Medical Physics · Physics 2011-07-20 Ridha Hambli , Abdelwahed Barkaoui

Living soft tissues appear to promote the development and maintenance of a preferred mechanical state within a defined tolerance around a so-called set-point. This phenomenon is often referred to as mechanical homeostasis. In contradiction…

Computational Engineering, Finance, and Science · Computer Science 2021-09-23 Jonas F. Eichinger , Maximilian J. Grill , Iman Davoodi Kermani , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

After injury, if regeneration can be observed in hydra, planaria and some vertebrates, regeneration is rare in mammals and particularly in humans. In this paper, we investigate the mechanisms by which biological tissues recover after…

Tissues and Organs · Quantitative Biology 2019-03-05 Diane Peurichard , Marielle Ousset , Jenny Paupert , Benjamin Aymard , Anne Lorsignol , Louis Casteilla , Pierre Degond

This paper presents bone adaptation as a geometric flow. The proposed method is based on two assumptions: first, that the bone surface is smooth (not fractal) permitting the definition of a tangent plane and, second, that the interface…

Quantitative Methods · Quantitative Biology 2021-11-10 Bryce A. Besler , Tannis D. Kemp , Nils D. Forkert , Steven K. Boyd

In this paper, analytic relations between the macroscopic variables and the mesoscopic variables are derived for lattice Boltzmann methods (LBM). The analytic relations are achieved by two different methods for the exchange from velocity…

Fluid Dynamics · Physics 2015-03-19 Hui Xu , Huibao Luan , Yaling He , Wenquan Tao

The impact of confinement on self-assembly of particles interacting with short-range attraction and long-range repulsion (SALR) potential is studied for thermodynamic states corresponding to local ordering of clusters or layers in the bulk.…

Soft Condensed Matter · Physics 2014-11-17 Jakub Pękalski , Alina Ciach , Noé G. Almarza

We propose a continuous model for meniscus cartilage regeneration triggered by two populations of cells migrating and (de)differentiating within an artificial scaffold with a known structure. The described biological processes are…

Numerical Analysis · Mathematics 2023-08-23 Elise Grosjean , Bernd Simeon , Christina Surulescu

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

Biological Physics · Physics 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

We propose an ultrasound approach which provides, with one single examination and one single device, access to three bone biomarkers: anatomy, tissue quality and blood flow. It unlocks ultrasound imaging inside bone by accounting for…

Computational modelling is helpful for elucidating the cellular mechanisms driving biological morphogenesis. Previous simulation studies of blood vessel growth based on the Cellular Potts model (CPM) proposed that elongated, adhesive or…

Cell Behavior · Quantitative Biology 2015-09-07 Dimitrios Palachanis , András Szabó , Roeland M. H. Merks