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Download Continuum Analysis of Biological Systems: Conserved by G.K. Suraishkumar PDF

By G.K. Suraishkumar

This ebook addresses the research, within the continuum regime, of organic platforms at numerous scales, from the mobile point to the commercial one. It offers either basic conservation rules (mass, cost, momentum and effort) and suitable fluxes caused by acceptable using forces, that are vital for the research, layout and operation of organic platforms. It contains the concept that of cost conservation, a tremendous precept for organic platforms that isn't explicitly lined in the other booklet of this type. The booklet is equipped in 5 elements: mass conservation; cost conservation; momentum conservation; power conservation and a number of conservations at the same time utilized. All mathematical features are offered step-by-step, permitting any reader with a simple mathematical historical past (calculus, differential equations, linear algebra, etc.) to keep on with the textual content comfortably. The ebook promotes an intuitive realizing of all of the suitable ideas and in so doing enables their program to sensible matters relating to layout and operation of organic platforms. meant as a self-contained textbook for college students in biotechnology and in commercial, chemical and biomedical engineering, this publication also will symbolize an invaluable reference advisor for execs operating within the above-mentioned fields.

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Extra info for Continuum Analysis of Biological Systems: Conserved Quantities, Fluxes and Forces

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Where it was placed, to other parts of the beaker, until the concentration of ink in the beaker is uniform. The ink particles move because of the thermal energy of the molecules (ink and water molecules) that results in its random motion. In such cases, we say that diffusion of the species (ink) has occurred. Although the molecular motion due to thermal energy is random, the net movement of the species, or the ink flux in this case, is from a region of high ink concentration to a region of lower ink concentration.

1-2 Different tortuosities that are possible in membranes =1 >1 solute in the solvent are the same and hence K = 1 is a good approximation, d is membrane thickness, is tortuosity (Fig. 1-2), a measure of the mean distance travelled by the solute in relation to the thickness of the membrane and = Porosity = Volume fraction of pores in the membrane = Volume of pores Total volume of the membrane including pores When the Pores are Comparable in Size to the Solute When the pores become sufficiently small, the diffusivity in a pore is less than that in free solution.

G. 4 r r r r r r is pore radius and a is solute radius. a The factor Di F   accounts for the modified diffusivity due to the r 2  a small pore size (hydrodynamic hindrance). The factor K 1 −  accounts  r 42 2 Mass Flux Fig. 2-1 The cross-section of the bronchiole Rb Ro for the modified partitioning of the solute between the solution and the pore (stearic hindrance). 2 Steady State Radial Diffusion Across Tubular Walls There exist many examples of tubular elements in biological systems.

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