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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

Degenerative discopathy is a common pathology which may require spine surgery. A metallic cylindrical pin is inserted into the vertebral body to maintain soft tissues and may be used as a reflector of ultrasonic wave to estimate bone…

Understanding the mechanical behaviour of bones up to failure is necesary for diagnosis and prevention of accident and trauma. As far as we know, no authors have yet studied the tensile behaviour of compact bone including failure under…

Classical Physics · Physics 2007-05-23 Martine Pithioux , D. Subit , P. Chabrand

Abnormal cortical folding patterns may be related to neurodevelopmental disorders such as lissencephaly and polymicrogyria. In this context, computational modeling is a powerful tool to provide a better understanding of the early brain…

Of interest is the characterization of a cancellous bone immersed in an acoustic fluid. The bone is placed between an ultrasonic point source and a receiver. Cancellous bone is regarded as a porous medium saturated with fluid according to…

Numerical Analysis · Mathematics 2018-02-05 Miguel Angel Moreles , Jose Angel Neria , Joaquin Peña

This paper discusses a continuum approach to track the evolution of permeability in granular rocks by accounting for the combined effect of porosity changes, grain breakage and cement bond damage. To account for such a broad range of…

Geophysics · Physics 2016-12-13 Shiva Esna Ashari , Arghya Das , Giuseppe Buscarnera

The bending of a carbon nanotube is studied by considering the structural evolution of a carbon nanotorus from elastic deformation to the onset of the kinks and eventually to the collapse of the walls of the nanotorus. The changes in the…

Materials Science · Physics 2009-10-31 Lei Liu , C. S. Jayanthi , S. Y. Wu

A probabilistic model describes a system in its observational state. In many situations, however, we are interested in the system's response under interventions. The class of structural causal models provides a language that allows us to…

Methodology · Statistics 2020-01-20 Jonas Peters , Stefan Bauer , Niklas Pfister

Urbanization is a phenomenon of concern for planning and public health: projections are difficult because of policy changes and natural events, and indicators are multiple. There are previous studies of development that used fractals, but…

Dynamical Systems · Mathematics 2023-10-31 Junze Yin

Bone is a multiscale heterogeneous materiel of which principal function is to support the body structure and to resist mechanical loading and fractures. Bone strength does not depend only on the quantity and quality of bone which is…

Tissues and Organs · Quantitative Biology 2011-07-07 Abdelwahed Barkaoui , Awad Bettamer , Ridha Hambli

Copulas allow a flexible and simultaneous modeling of complicated dependence structures together with various marginal distributions. Especially if the density function can be represented as the product of the marginal density functions and…

Methodology · Statistics 2020-08-31 Jae Youn Ahn , Sebastian Fuchs , Rosy Oh

The dynamic process of the formation of bone-mass in case of humans is studied to gather precise understanding about the same with the motivation of applying these concepts for healing of bone-fracture and non-unions in non-invasive manner.…

Tissues and Organs · Quantitative Biology 2013-07-23 Nirmalendu Hui , Biplab Chattopadhyay

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

Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of the skeleton in which normal bone is replaced by structurally unsound fibro-osseous tissue. There is no curative treatment for FD, partly because its pathophysiology is…

In this paper we develop a lattice-based computational model focused on bone resorption by osteoclasts in a single cortical basic multicellular unit (BMU). Our model takes into account the interaction of osteoclasts with the bone matrix,…

Tissues and Organs · Quantitative Biology 2015-03-19 P. R. Buenzli , J. Jeon , P. Pivonka , D. W. Smith , P. T. Cummings

We propose a novel approach to continuum modelling of dynamics of crystal surfaces. Our model follows the evolution of an ensemble of step configurations, which are consistent with the macroscopic surface profile. Contrary to the usual…

Statistical Mechanics · Physics 2007-05-23 Navot Israeli , Daniel Kandel

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

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

We present a micro-structurally based finite element model of the human cornea, where we explicitly describe the collagen-crosslink architecture in terms of a trusswork of non-linear struts, and the extracellular proteoglycan matrix in…

Mathematical Physics · Physics 2025-07-02 Christopher Miller , Maria Laura De Bellis , Anna Pandolfi

In articular cartilage the orientation of collagen fibres is not uniform, varying mostly with the depth on the tissue. Besides, the biomechanical response of each layer of the articular cartilage differs from the neighbouring ones, evolving…

Biological Physics · Physics 2016-01-21 S. Cortez , A. Completo , J. L. Alves