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Managing the outcome of bone fracture healing is one of the most challenging tasks that a
veterinary orthopedic surgeon has to accomplish. On top of the difficulties involved with
unusual patient morphology, tight budgets and often short times to plan out surgeries in
traumatic cases, surgeons have to deal with the delicate trade-off between assuring fracture
stability and leaving enough interfragmentary motion to promote optimal bone healing on
a case by case basis. While handbooks provide general guidelines for surgeons to follow in
some situations, decisions are still often based on their experience and expertise gained on
previous cases.

Subject-specific models display the potential to positively alter the outcome of surgical operations
by providing surgeons with numerical twins to test treatments on. They have
previously been shown to be able to reproduce mechanical responses of both intact and
orthopedically repaired bones. A continuation of these works is conducted here.
In this thesis, an exploratory study is conducted to assess the capability of a Continuum
Damage Mechanics-based remodeling model to represent the healing characteristics found
in bone fracture healing. Along the way, the full numerical pipeline from the initial CT
image to the Finite Element simulation is didactically presented and improvements made
to it are detailed.

Results include improvements to the image-to-mesh pipeline to increase its modularity and
robustness. Meshes generated using the improved pipeline show greatly enhanced quality
characteristics.
Results also show that the extension of the Continuum Damage Mechanics-based remodeling
model is able to qualitatively describe the multi-staged nature of bone fracture healing
from a mechanical point of view.

Numerical simulation --- bone remodeling --- bone fracture healing --- mesh generation --- image to mesh --- mesh manipulation --- continuum damage mechanics --- Ingénierie, informatique & technologie > Ingénierie mécanique

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Differential equations, Partial --- Numerical grid generation (Numerical analysis) --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Boundary value problems --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions --- Conferences - Meetings --- Numerical grid generation (Numerical analysis) - Congresses --- Differential equations, Partial - Numerical solutions - Congresses

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This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to “intuitively” introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.

Geometry, Differential. --- Numerical grid generation (Numerical analysis) --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Differential geometry --- Mathematics. --- Geometry. --- Differential geometry. --- History. --- Differential Geometry. --- History of Mathematical Sciences. --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Numerical solutions --- Global differential geometry. --- Geometry, Differential --- Mathematics --- Euclid's Elements --- Annals --- Auxiliary sciences of history --- Math --- Science

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The Generator Coordinate Method (GCM) is a mathematical tool for the understanding of stable atomic nuclei. Electronic, Atomic and Molecular Calculations is designed to assist scientists applying GCM in the analysis of the electronic structure of atoms and molecules. There have been numerous publications covering nuclear physics and electronic structure of atoms and molecules, but this book is unique in the sense that it specifically addresses the application of GCM for such purposes. Using this book, researchers will be able to understand and calculate the electronic structure in a novel mann

Atomic structure --- Nuclear physics. --- Molecular structure --- Numerical grid generation (Numerical analysis) --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Boundary value problems --- Differential equations, Partial --- Nets (Mathematics) --- Numerical analysis --- Structure, Molecular --- Chemical structure --- Structural bioinformatics --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Physics --- Structure, Atomic --- Atomic theory --- Mathematical models. --- Numerical solutions

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This volume contains the articles presented at the 22nd International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on Oct 13-16, 2013 in Orlando, Florida, USA.  The first IMR was held in 1992, and the conference series has been held annually since.  Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics.  The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics and visualization.

Numerical grid generation (Numerical analysis) --- Differential equations, Partial --- Numerical solutions --- Coordinate generation, Numerical (Numerical analysis) --- Generation of numerical grids (Numerical analysis) --- Grid generation, Numerical (Numerical analysis) --- Mesh generation, Numerical (Numerical analysis) --- Numerical coordinate generation (Numerical analysis) --- Numerical mesh generation (Numerical analysis) --- Engineering. --- Computer science --- Computer simulation. --- Applied mathematics. --- Engineering mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Math Applications in Computer Science. --- Simulation and Modeling. --- Mathematics. --- Boundary value problems --- Nets (Mathematics) --- Numerical analysis --- Computer science. --- Mathematical and Computational Engineering. --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Informatics --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Computer science—Mathematics.