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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9781439820056
· 쪽수 : 327쪽
· 출판일 : 2010-06-02
목차
Flow-Induced Deformation of Two-Dimensional Biconcave Capsules, C. PozrikidisIntroduction Mathematical framework Numerical method Cell shapes and dimensionless numbers Capsule deformation in infinite shear flow Capsule motion near a wall Discussion Flow-Induced Deformation of Artificial Capsules, D. Barthes-Biesel, J. Walter, and A.-V. SalsacIntroduction Membrane mechanicsCapsule dynamics in flow B-spline projection Coupling finite elements and boundary integralsCapsule deformation in linear shear flowDiscussion A High-Resolution Fast Boundary-Integral Method for Multiple Interacting Blood Cells, Jonathan B. Freund and Hong ZhaoIntroductionMathematical frameworkFast summation in boundary-integral computationsMembrane mechanicsNumerical fidelitySimulationsSummary and outlook Simulating Microscopic Hemodynamics and Hemorheology with the Immersed-Boundary Lattice-Boltzmann Method, J. Zhang, P. C. Johnson, and A.S. PopelIntroduction The lattice-Boltzmann methodThe immersed-boundary method Fluid property updating Models of RBC mechanics and aggregation Single cells and groups of cellsCell suspension flow in microvesselsSummary and discussion Front-Tracking Methods for Capsules, Vesicles, and Blood Cells, Prosenjit BagchiIntroduction Numerical methodCapsule deformation in simple shear flowCapsule interception Capsule motion near a wall Suspension flow in a channel Rolling on an adhesive substrate Summary Dissipative Particle Dynamics Modeling of Red Blood Cells, D.A. Fedosov, B. Caswell, and G.E. KarniadakisIntroduction Mathematical frameworkMembrane mechanical propertiesMembrane-solvent interfacial conditions Numerical and physical scaling Membrane mechanics Membrane rheology from twisting torque cytometry Cell deformation in shear flow Tube flow Summary Simulation of Red Blood Cell Motion in Microvessels and Bifurcations, T.W. SecombIntroduction Axisymmetric models for single-file RBC motion Two-dimensional models for RBC motion Tank-treading in simple shear flow Channel flow Motion through diverging bifurcations Motion of multiple cells Discussion Multiscale Modeling of Transport and Receptor-Mediated Adhesion of Platelets in the Bloodstream, N.A. Mody and M.R. KingIntroductionMathematical framework Motion of an oblate spheroid near a wall in shear flow Brownian motion Shape and wall effects on hydrodynamic collision Transient aggregation of two platelets near a wall Conclusions and future directions Index















