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This work presents a framework for modeling three-dimensional scaffold-mediated bone regeneration and the associated optimization problem. By incorporating microstructure into the model through periodic homogenization, we capture the…

Numerical Analysis · Mathematics 2025-03-25 Patrick Dondl , Oliver Suchan

Several biological tissues undergo changes in their geometry and in their bulk material properties by modelling and remodelling processes. Modelling synthesises tissue in some regions and removes tissue in others. Remodelling overwrites old…

Tissues and Organs · Quantitative Biology 2016-05-13 Pascal R. Buenzli

Complexity and heterogeneity of bone tissue require a multiscale modelling to understand their mechanical behaviour and their remodelling mechanism. Human cortical bone structure consists of six structural scale levels which are the…

Medical Physics · Physics 2011-12-07 Abdelwahed Barkaoui , Ridha Hambli

Realistic digital models of plant leaves are crucial to fluid dynamics simulations of droplets for optimising agrochemical spray technologies. The presence and nature of small features (on the order of 100$\mathrm{\mu m}$) such as ridges…

The geometric control of bone tissue growth plays a significant role in bone remodelling, age-related bone loss, and tissue engineering. However, how exactly geometry influences the behaviour of bone-forming cells remains elusive. Geometry…

Cell Behavior · Quantitative Biology 2020-05-28 Mohd Almie Alias , Pascal R Buenzli

Collagenolytic degradation is a process fundamental to tissue remodeling. The microarchitecture of collagen fibril networks changes during development, aging, and disease. Such changes to microarchitecture are often accompanied by changes…

Biological Physics · Physics 2024-08-13 B. Debnath , B. N. Narasimhan , S. I. Fraley , P. Rangamani

Bone marrow stromal cells (BMSC) -- which include skeletal stem cells -- are a promising tool in regenerative medicine. However, their heterogeneous and unpredictable in vivo behaviour remains a critical barrier preventing the development…

Cortical bone is a tough biological material composed of tube-like osteons embedded in the organic matrix surrounded by weak interfaces known as cement lines. The cement lines provide a microstructurally preferable crack path, hence…

Applied Physics · Physics 2024-05-24 Shashank Gupta , Reza Moini

In this paper, we introduce a three-dimensional mathematical model of collagen contraction with microbuckling based on the two-dimensional model previously developed by the authors. The model both qualitatively and quantitatively replicates…

Cell Behavior · Quantitative Biology 2018-01-03 Emily Jennings Evans , John C. Dallon

We propose a simple model for scaffold aided bone regeneration. In this model, only macroscopic quantities, e.g., locally averaged osteoblast densities, are considered. This allows for use of this model in an optimization algorithm, whose…

Tissues and Organs · Quantitative Biology 2021-10-15 Patrick Dondl , Marius Zeinhofer

The complexity and heterogeneity of bone tissue require a multiscale modelling to understand its mechanical behaviour and its remodelling mechanisms. In this paper, a novel multiscale hierarchical approach including microfibril scale based…

Medical Physics · Physics 2014-03-13 Abdelwahed Barkaoui , Abdessalem Chamekh , Merzouki Tarek , Ridha Hambli , Mkaddem Ali

We introduce a continuous modeling approach which combines elastic responds of the trabecular bone structure, the concentration of signaling molecules within the bone and a mechanism how this concentration at the bone surface is used for…

Tissues and Organs · Quantitative Biology 2017-11-21 S. Aland , F. Stenger , R. Müller , M. Kampschulte , A. C. Langheinrich , T. El Khassawna , C. Heiß , A. Dreutsch , A. Voigt

Osteocytes and their cell processes reside in a large, interconnected network of voids pervading the mineralized bone matrix of most vertebrates. This osteocyte lacuno-canalicular network (OLCN) is believed to play important roles in…

Background: Mechanotransduction in bone cells plays a pivotal role in osteoblast differentiation and bone remodelling. Mechanotransduction provides the link between modulation of the extracellular matrix and intracellular actions. By…

Subcellular Processes · Quantitative Biology 2019-02-26 Gianluca Ascolani , Timothy M. Skerry , Damien Lacroix , Enrico Dall'Ara , Aban Shuaib

Pharmaceutical treatments can slow bone degradation, thus reducing the fracture risk inherent in osteoporosis. Antiresorptive treatments block the over-activation of osteoclasts vs osteoblasts, but the resulting decrease in bone remodeling…

Medical Physics · Physics 2021-12-20 Jean-Louis Milan , Chan Yone Claudia , Rossi Jean-Marie , Chabrand Patrick

The adverse effects of microgravity exposure on mammalian physiology during spaceflight necessitate a deep understanding of the underlying mechanisms to develop effective countermeasures. One such concern is muscle atrophy, which is partly…

The minimal invasive procedure of vertebroplasty is a surgical technique to treat compression fractures of vertebral bodies. During the treatment, liquid bone cement gets injected into the affected vertebral body and therein cures to a…

Numerical Analysis · Mathematics 2015-02-10 Ralf Landgraf , Jörn Ihlemann , Sebastian Kolmeder , Alexander Lion , Helena Lebsack , Cornelia Kober

Osteoporosis is a common condition that increases fracture risk, especially in older adults. Early diagnosis is vital for preventing fractures, reducing treatment costs, and preserving mobility. However, healthcare providers face challenges…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Mehdi Hosseini Chagahi , Saeed Mohammadi Dashtaki , Niloufar Delfan , Nadia Mohammadi , Farshid Rostami Pouria , Behzad Moshiri , Md. Jalil Piran , Oliver Faust

Continuum bone remodelling is an important tool for predicting the effects of mechanical stimuli on bone density evolution. While the modelling of only cancellous bone is considered in many studies based on continuum bone remodelling, this…

Tissues and Organs · Quantitative Biology 2021-02-15 Ina Schmidt , Areti Papastavrou , Paul Steinmann

Many biological phenomena are inherently multiscale, i.e. they are characterized by interactions involving different spatial and temporal scales simultaneously. Though several approaches have been proposed to provide "multilayer" models,…

Computational Engineering, Finance, and Science · Computer Science 2010-11-03 Diletta Cacciagrano , Flavio Corradini , Emanuela Merelli , Luca Tesei