By Constantine Pozrikidis
Spanning organic, mathematical, computational, and engineering sciences, computational biofluiddynamics addresses a various relatives of difficulties related to fluid circulation inside of and round dwelling organisms, organs, tissue, organic cells, and different organic fabrics. Computational Hydrodynamics of pills and organic Cells presents a complete, rigorous, and present advent to the elemental thoughts, mathematical formula, replacement ways, and predictions of this evolving box. within the first a number of chapters on boundary-element, boundary-integral, and immersed-boundary tools, the booklet covers the flow-induced deformation of idealized two-dimensional pink blood cells in Stokes stream, tablets with round unstressed shapes in keeping with direct and variational formulations, and mobile movement in domain names with complicated geometry. It additionally offers simulations of microscopic hemodynamics and hemorheology in addition to effects at the deformation of tablets and cells in dilute and dense suspensions. The e-book then describes a discrete membrane version the place a floor community of viscoelastic hyperlinks emulates the spectrin community of the cytoskeleton, earlier than proposing a unique two-dimensional version of purple and white blood mobilephone movement. the ultimate bankruptcy discusses the numerical simulation of platelet movement close to a wall representing injured tissue. This quantity presents a roadmap to the present state-of-the-art in computational mobile mechanics and biofluiddynamics. It additionally exhibits components for additional paintings on mathematical formula and numerical implementation and identifies physiological difficulties that have to be addressed in destiny research. MATLAB® code and different facts can be found at http://dehesa.freeshell.org/CC2
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Additional resources for Computational Hydrodynamics of Capsules and Biological Cells (Chapman & Hall CRC Mathematical & Computational Biology)
Sample text
The longer period is attributed to stronger viscous effects in two-dimensional flow. In the limit of infinite viscosity ratio, the capsule rotates as a rigid particle independent of the interfacial elastic and bending modulus. Effect of the initial inclination Further simulations have shown that the capsule motion is insensitive to the initial inclination after an initial start-up period. 001, and λ = 1. 3; the solid, dashed, and dotted lines correspond to initial inclination 45◦ , 0◦ , and 135◦ .
2003) Mechanics of red blood cells and blood flow in narrow tubes. In: Modeling and Simulation of Liquid Capsules and Biological Cells, Pozrikidis, C. ), Chapman & Hall/CRC, Boca Raton. Secomb, T. , Styp-Rekowska, B. & Pries, A. R. (2007) Twodimensional simulation of red blood cell deformation and lateral migration in microvessels. Ann. Biomed. Eng. 35, 755–765. , Zarda R. P. & Chien S. (1973) Strain energy function of red blood cell membrane. Biophys. J. 13, 245–264. Chapter 1 Flow-induced deformation of biconcave capsules 33 Skotheim, J.
Chien S. (1973) Strain energy function of red blood cell membrane. Biophys. J. 13, 245–264. Chapter 1 Flow-induced deformation of biconcave capsules 33 Skotheim, J. M. W. (2007) Red blood cells and other nonspherical capsules in shear flow: Oscillatory dynamics and the tanktreading-to-tumbling transition. Phys. Rev. Lett. 98, 078301. , Gong, X. & Matsumoto, Y. (2009) The deformation of a vesicle in a linear shear flow. J. Appl. Mech. 76, 021207. Veerapaneni, S. , Zorin, D. & Biros, G. (2009) A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D.