Biomechanics: Trends in Modeling and Simulation by Gerhard A. Holzapfel, Ray W. Ogden

By Gerhard A. Holzapfel, Ray W. Ogden

The publication provides a cutting-edge assessment of biomechanical and mechanobiological modeling and simulation of soppy organic tissues. Seven famous scientists operating in that individual box talk about issues reminiscent of biomolecules, networks and cells in addition to failure, multi-scale, agent-based, bio-chemo-mechanical and finite point types applicable for computational research. purposes contain arteries, the center, vascular stents and valve implants in addition to adipose, mind, collagenous and engineered tissues.
The mechanics of the entire phone and sub-cellular elements in addition to the extracellular matrix constitution and mechanotransduction are defined. specifically, the formation and transforming of tension fibers, cytoskeletal contractility, cellphone adhesion and the mechanical law of fibroblast migration in therapeutic myocardial infarcts are mentioned. the fundamental components of continuum mechanics are supplied. Constitutive versions of fiber-reinforced fabrics with an emphasis on arterial partitions and the myocardium are mentioned and the $64000 impact of residual stresses on fabric reaction emphasised. The mechanics and serve as of the guts, the mind and adipose tissues are mentioned to boot. specific recognition is targeted on microstructural and multi-scale modeling, finite point implementation and simulation of cells and tissues.

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By using mixture theory, Lai et al. (1991) showed that biphasic theory could be systematically extended to triphasic theory, which laid the foundations for many subsequent developments, as partially reviewed in Sect. 4. Many other investigators have independently demonstrated the value of mixture theory for modeling complex phenomena in biological tissues, as also partially reviewed above. Because theoretical frameworks are critically dependent on constitutive assumptions, there is no unique formulation of mixture theory for a given combination of fluid and solid constituents.

Finite deformation biphasic material properties of bovine articular cartilage from confined compression experiments. J. Biomech. : A mixture theory analysis for passive transport in osmotic loading of cells. J. Biomech. : Finite element algorithm for frictionless contact of porous permeable media under finite deformation and sliding. J. Biomech. Eng. : Finite element implementation of mechanochemical phenomena in neutral deformable porous media under finite deformation. J. Biomech. Eng. : Solute transport across a contact interface in deformable porous media.

For intermediate frequencies, f ≈ τ −1 , the tissue response is markedly viscoelastic, with nonnegligible relative fluid flow and biphasic drag forces and a dynamic modulus greater than HA . 4 √ iωτ √ z − 1 − cosh iωτ h √ . cosh iωτ (81) Experimental Validation of Confined Compression The biphasic theory was introduced in two papers by Mow and colleagues (Mow and Lai 1980; Mow et al. 1980). These papers provided theoretical solutions for confined compression creep and stress relaxation. Experimental results on bovine and human articular cartilage were also reported for these testing configurations.

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