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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

The mechanical properties of biological tissues are strongly correlated to the specific distribution of their collagen fibers. Monitoring the dynamic reorganization of the collagen network during mechanical stretching is however a technical…

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

Advanced-Glycation-Endproducts (AGEs) are known to be a major cause of impaired tissue material properties. In collagen fibrils, the main building component of human tissue, these AGEs appear as fibrillar cross-links. When AGEs accumulate…

Tissues and Organs · Quantitative Biology 2023-08-11 Julia Kamml , Claire Acevedo , David Kammer

We propose a multiscale mechanobiological model of bone remodelling to investigate the site-specific evolution of bone volume fraction across the midshaft of a femur. The model includes hormonal regulation and biochemical coupling of bone…

Tissues and Organs · Quantitative Biology 2016-05-13 C. Lerebours , P. R. Buenzli , S. Scheiner , P. Pivonka

Collagen is a key structural protein in the human body, which undergoes mineralization during the formation of hard tissues. Earlier studies have described the mechanical behavior of bone at different scales highlighting material features…

Applied Physics · Physics 2021-07-02 Mario Milazzo , Gang Seob Jung , Serena Danti , Markus J. Buehler

The microscopic structure of a plant cell wall is given by cellulose microfibrils embedded in a cell wall matrix. In this paper we consider a microscopic model for interactions between viscoelastic deformations of a plant cell wall and…

Analysis of PDEs · Mathematics 2016-01-01 Mariya Ptashnyk , Brian Seguin

Cell migration in fibreous extracellular matrix (ECM) is crucial to many physiological and pathological processes such as tissue regeneration, immune response and cancer progression. During migration, individual cells can generate active…

Cell Behavior · Quantitative Biology 2019-10-16 Yu Zheng , Hanqing Nan , Qihui Fan , Xiaochen Wang , Liyu Liu , Ruchuan Liu , Fangfu Ye , Bo Sun , Yang Jiao

Collagen fibres play an important role in the mechanical behaviour of many soft tissues. Modelling of such tissues now often incorporates a collagen fibre distribution. However, the availability of accurate structural data has so far lagged…

In this paper, the objective is to assess the histomechanical effects of collagen proteolysis in arteries under loading conditions reproducing in vivo environment. Thirteen segments of common porcine carotid arteries (8 proximal and 5…

Medical Physics · Physics 2019-12-13 Olfa Trabelsi , Virginie Dumas , Edouard Breysse , Norbert Laroche , StéPhane Avril

Biological cells sense and respond to mechanical forces, but how such a mechanosensing proccess takes place in a nonlinear inhomogeneous fibrous matrix remains unknown. We show that cells in a fibrous matrix induce deformation fields that…

Biological Physics · Physics 2015-06-10 Jacob Notbohm , Ayelet Lesman , Phoebus Rosakis , David A. Tirrell , Guruswami Ravichandran

The mechanical response of biological soft tissues is influenced by wall heterogeneity, including spatial variations in wall thickness. Traditional models for homogeneous soft tissues under uniaxial loading predict higher stretch and stress…

Tissues and Organs · Quantitative Biology 2026-02-06 Yamnesh Agrawal , Masoud Zamani , James R. Thunes , Spandan Maiti , Anne M. Robertson

The stability of micelles self-assembled from block copolymers can be altered by the degradation of the blocks. Slow degradation shifts the equilibrium size distribution of block copolymer micelles and change their properties.…

Soft Condensed Matter · Physics 2012-06-27 Alexander Muratov , Vladimir A. Baulin

Collagen fibrils are versatile self-assembled structures that provide mechanical integrity within mammalian tissues. The radius of collagen fibrils vary widely depending on experimental conditions \textit{in vitro} or anatomical location…

Soft Condensed Matter · Physics 2018-02-26 Samuel Cameron , Laurent Kreplak , Andrew D. Rutenberg

Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that…

Soft Condensed Matter · Physics 2021-01-01 Andrei Zakharov , Kinjal Dasbiswas

Bone remodeling involves the coordinated removal of bone by osteoclasts and addition of bone by osteoblasts, a process that is modulated by the prevailing mechanical environment. In this paper a fully coupled model of bone remodeling is…

Tissues and Organs · Quantitative Biology 2012-08-02 Stefan Scheiner , Peter Pivonka , Christian Hellmich , David W. Smith

In this paper, we model the mechanics of a collagen pair in the connective tissue extracellular matrix that exists in abundance throughout animals, including the human body. This connective tissue comprises repeated units of two main…

Biomolecules · Quantitative Biology 2009-02-11 Yue Chan , Grant M. Cox , Richard G. Haverkamp , James M. Hill

The lysyl oxidase (LOX) enzyme that catalyses cross-link formation during the assembly of collagen fibrils in vivo is too large to diffuse within assembled fibrils, and so is incompatible with a fully equilibrium mechanism for fibril…

Biological Physics · Physics 2021-09-30 Matthew P. Leighton , Laurent Kreplak , Andrew D. Rutenberg

Aging remains a fundamental open problem in modern biology. Although there exist a number of theories on aging on the cellular scale, nearly nothing is known about how microscopic failures cascade to macroscopic failures of tissues, organs…

Tissues and Organs · Quantitative Biology 2017-07-10 Aylin Acun , Dervis Can Vural , Pinar Zorlutuna

The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bone remodeling}, and occurs asynchronously at multiple sites…

Tissues and Organs · Quantitative Biology 2011-11-30 Marc Ryser , Svetlana V. Komarova , Nilima Nigam