Computational Modeling in Biomechanics by X. Sheldon Wang (auth.), Suvranu De, Farshid Guilak,

By X. Sheldon Wang (auth.), Suvranu De, Farshid Guilak, Mohammad Mofrad R. K. (eds.)

Availability of complex computational expertise has essentially altered the investigative paradigm within the box of biomechanics. Armed with refined computational instruments, researchers are trying to find solutions to basic questions via exploring complicated biomechanical phenomena on the molecular, mobile, tissue and organ degrees. The computational armamentarium contains such varied instruments because the ab initio quantum mechanical and molecular dynamics equipment on the atomistic scales and the finite aspect, boundary aspect, meshfree in addition to immersed boundary and lattice-Boltzmann equipment on the continuum scales. Multiscale tools that hyperlink a number of scales also are being built. whereas such a lot purposes require ahead research, e.g., discovering deformations and stresses because of loading, others contain choice of constitutive parameters in accordance with tissue imaging and inverse research. This booklet presents a glimpse of the varied and demanding roles that glossy computational expertise is taking part in in quite a few parts of biomechanics together with biofluids and mass move, cardiovascular mechanics, musculoskeletal mechanics, delicate tissue mechanics, and biomolecular mechanics.

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Fig. 20 clearly shows that the implicit compressible immersed continuum method captures the scattering and diffraction effects of the pressure waves as well as motion of the immersed solid. Notice that in this FSI system, the motion of the immersed deformable object is significant which cannot be modeled with acoustic FSI systems. The benefit of immersed methods is clearly depicted in Figs. 18 and 19 for the case with five immersed solids. For this case, it is no longer feasible to use the ALE formulation, whereas it is a simple task to add a few more deformable solids in the immersed continuum method.

Displacement/pressure based finite element formulations for acoustic fluid–structure interaction problems. Int. J. Numer. Methods Eng. 40, 2001–2017 (1997) 50. : Extended immersed boundary method using FEM and RKPM. Comput. Methods Appl. Mech. Eng. 193, 1305–1321 (2004) 51. : A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207, 1–27 (2005) 52. : Immersed finite element method. Comput. Methods Appl. Mech. Eng. 193, 2051–2067 (2004) Chapter 2 Computational Modeling of ATP/ADP Concentration at the Vascular Surface Hyo Won Choi and Abdul I.

Fundamentals of Fluid–Solid Interactions – Analytical and computational approaches. Elsevier, Amsterdam (2008) 49. : Displacement/pressure based finite element formulations for acoustic fluid–structure interaction problems. Int. J. Numer. Methods Eng. 40, 2001–2017 (1997) 50. : Extended immersed boundary method using FEM and RKPM. Comput. Methods Appl. Mech. Eng. 193, 1305–1321 (2004) 51. : A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207, 1–27 (2005) 52. : Immersed finite element method.

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