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Lecture

Tissue Mechanical Remodeling

In course

ME-482: Biomechanics of the musculoskeletal system

The basis for a mechanical description of the musculoskeletal system are presented. This description is based on the concepts of solid mechanics, physiology and anatomy of the musculoskeletal system. Concrete examples of the development of implants are als ...

Description

This lecture explores the concept of mechanical stimulus in tissue remodeling, discussing scenarios of ACL rupture, external loading correlation, and the justification of mechanical stimulus descriptors. It delves into the relationship between bone density rate and mechanical stimulus, the effects of overuse and disuse on bone remodeling, and the importance of observing micro-damage. The application of finite element analysis in hip implant modeling is also covered, including geometry, constitutive laws, boundary conditions, and resolution steps. The lecture concludes with discussions on strain energy density, bone remodeling, and the evolution of density distribution around hip implants.

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Instructor

Dominique Pioletti

Dominique Pioletti received his Master in Physics from the Swiss Federal Institute of Technology Lausanne (EPFL) in 1992. He pursued his education in the same Institution and obtained his PhD in biomechanics in 1997. He developed original constitutive laws taking into account viscoelasticity in large deformations. Then he spent two years at UCSD as post-doc fellow acquiring know-how in cell and molecular biology. He was interested in particular to gene expression of bone cells in contact to orthopedic implant. In April 2006, Dominique Pioletti was appointed Assistant Professor tenure-track at the EPFL and is director of the Laboratory of Biomechanical Orthopedics. His research topics include biomechanics and tissue engineering of musculo-skeletal tissues; mechano-transduction in bone; development of orthopedic implant as drug delivery system. Since 2013, he has been promoted to the rank of Associate Professor.

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Related concepts (31)

Geometry

Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

Robin boundary condition

In mathematics, the Robin boundary condition (ˈrɒbɪn; properly ʁɔbɛ̃), or third type boundary condition, is a type of boundary condition, named after Victor Gustave Robin (1855–1897). When imposed on an ordinary or a partial differential equation, it is a specification of a linear combination of the values of a function and the values of its derivative on the boundary of the domain. Other equivalent names in use are Fourier-type condition and radiation condition.

Dirichlet boundary condition

In the mathematical study of differential equations, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on an ordinary or a partial differential equation, it specifies the values that a solution needs to take along the boundary of the domain. In finite element method (FEM) analysis, essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation.

Boundary value problem

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems.

Neumann boundary condition

In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann. When imposed on an ordinary or a partial differential equation, the condition specifies the values of the derivative applied at the boundary of the domain. It is possible to describe the problem using other boundary conditions: a Dirichlet boundary condition specifies the values of the solution itself (as opposed to its derivative) on the boundary, whereas the Cauchy boundary condition, mixed boundary condition and Robin boundary condition are all different types of combinations of the Neumann and Dirichlet boundary conditions.

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