Porous Media: Applications in Biological Systems and by Kambiz Vafai

By Kambiz Vafai

Offering state of the art examine developments, Porous Media: functions in organic structures and Biotechnology explores cutting edge ways to successfully follow present porous media applied sciences to biomedical functions. In every one peer-reviewed bankruptcy, world-class scientists and engineers collaborate to deal with major difficulties and speak about fascinating examine in organic platforms. The e-book starts with discussions on bioheat move equations for blood flows and surrounding organic tissue, the idea that of electroporation, hydrodynamic modeling of tissue-engineered fabric, and the resistance of microbial biofilms to universal modalities of antibiotic remedies. It examines how biofilms impression porous media hydrodynamics, describes the modeling of circulation alterations in cerebral aneurysms, and highlights fresh advances in Lagrangian debris equipment. The textual content additionally covers passive mass shipping approaches in mobile membranes and their biophysical implications, the modeling and therapy of mass shipping via dermis, using porous media in marine microbiology, the delivery of enormous organic molecules in deforming tissues, and purposes of magnetic stabilized beds for protein purification and adsorption, antibody removing, and extra. the ultimate chapters current power in situ characterization concepts for learning porous media and conductive membranes and clarify the improvement of bioconvection styles generated via populations of gravitactic microorganisms in porous media. utilizing a typical nomenclature all through and with contributions from best specialists, this cohesive booklet illustrates the function of porous media in addressing the most not easy matters in biomedical engineering and biotechnology. The booklet includes subtle porous media types that may be used to enhance the accuracy of modeling quite a few organic strategies.

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10 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Introduction There has been considerable interest in developing sound and accurate thermal models that describe heat transfer within a living tissue with blood perfusion. Since the landmark paper by Pennes (1948), a number of bioheat transfer equations for living tissue have been proposed to remedy possible shortcomings in his equation. Although Pennes’ model is often adequate for roughly describing the effect of blood flow on the tissue temperature, there exist some serious shortcomings in his model due to its inherent simplicity, as pointed out by Wulff (1974), namely, assuming uniform perfusion rate without accounting for blood flow direction, neglecting the important anatomical features of the circulatory network system such as countercurrent arrangement of the system, and choosing only the venous blood stream as the fluid stream equilibrated with the tissue.

2 Bioheat Equation for Cryoablation . . . . . . . . . . . . . . . . . 3 Numerical Analysis Based on Enthalpy Method . . . . . . . . . . 4 Analytical Treatment Based on Integral Method . . . . . . . . . . 5 Limiting Radius for Freezing a Tumor during Cryoablation . . . . Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Nomenclature . . . .

2) Vf where Vf is the volume space that the fluid (blood) occupies. 1 Schematic view of biological tissue. 2 Control volume in a porous medium. 1. Naturally, anatomical data are required to find the porosity. 7) where Aint is the local interface between the blood and solid matrix, while ni is the unit vector pointing outward from the fluid side to the solid side. The similarity between the volume averaging and the Reynolds averaging used in the study of turbulence is quite obvious. 6). It should also be noted that biological tissues in reality are highly compliant.

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