Diffusion intra

Within micropores, surface forces are dominant and an adsorbed molecule never escapes completely from the force field of the surface. Diffusion within this regime has been called configurational diffusion, intra-crystalline diffusion, micropore diffusion, or simply surface diffusion. The Maxwell-Stefan formulation, which is generally accepted for diffusion in the bulk fluid phase, can be extended to describe surface diffusion by considering the vacant sites to be a (n + l)-th pseudospecies on the surface [38,47,49-52]. Using the Maxwell-Stefan diffusion formulation, the following relationship was obtained for surface diffusion. 

Figure 28.4 Medium-power photomicrograph of lung showing diffuse intra-alveolar hemorrhage [hematoxylin and eosin (H E) stain] see page 681). 

An autoimmune disease in which there is diffuse intra-hepatic biliary obstruction. Mitochondrial autoantibodies can often be detected in the sera of affected patients. A raised serum IgM level can also be found. 

Straub J E and Berne B J 1986 Energy diffusion in many dimensional Markovian systems the consequences of the competition between inter- and intra-molecular vibrational energy transfer J. Chem. Phys. 85 2999 Straub J E, Borkovec M and Berne B J 1987 Numerical simulation of rate constants for a two degree of freedom system in the weak collision limit J. Chem. Phys. 86 4296... 

Active Transport. Maintenance of the appropriate concentrations of K" and Na" in the intra- and extracellular fluids involves active transport, ie, a process requiring energy (53). Sodium ion in the extracellular fluid (0.136—0.145 AfNa" ) diffuses passively and continuously into the intracellular fluid (<0.01 M Na" ) and must be removed. This sodium ion is pumped from the intracellular to the extracellular fluid, while K" is pumped from the extracellular (ca 0.004 M K" ) to the intracellular fluid (ca 0.14 M K" ) (53—55). The energy for these processes is provided by hydrolysis of adenosine triphosphate (ATP) and requires the enzyme Na" -K" ATPase, a membrane-bound enzyme which is widely distributed in the body. In some cells, eg, brain and kidney, 60—70 wt % of the ATP is used to maintain the required Na" -K" distribution. 

AletabolicFunctions. The chlorides are essential in the homeostatic processes maintaining fluid volume, osmotic pressure, and acid—base equihbria (11). Most chloride is present in body fluids a Htde is in bone salts. Chloride is the principal anion accompanying Na" in the extracellular fluid. Less than 15 wt % of the CF is associated with K" in the intracellular fluid. Chloride passively and freely diffuses between intra- and extracellular fluids through the cell membrane. If chloride diffuses freely, but most CF remains in the extracellular fluid, it follows that there is some restriction on the diffusion of phosphate. As of this writing (ca 1994), the nature of this restriction has not been conclusively estabUshed. There may be a transport device (60), or cell membranes may not be very permeable to phosphate ions minimising the loss of HPO from intracellular fluid (61). 

High thermodynamic selectivity (7) demands that the initially formed cis olefin be displaced rapidly relative to its saturation or to its isomerization. As the reaction nears completion and the acetylene concentration diminishes, its effectiveness in displacing olefin will diminish and selectivity will fall. Displacement by acetylene is also impeded through depletion of acetylene in the vicinity of the catalyst owing to intra- or interpartile diffusion resistance (53a). A change in a reaction parameter thus can have different influences... 

Schaefer PW, Hassankhani A, Putman C, Sorensen AG, Schwamm L, Koroshetz W, Gonzalez RG. Characterization and evolution of diffusion MR imaging abnormalities in stroke patients undergoing intra-arterial thrombolysis. Am J Neuroradiol2004 25 951-957. 

Monitoring of the oxygen pressure during reaction indicated that the rate of conversion of glycerol to glyceric acid under basic conditions (see section 3.3) was limited by oxygen mass transfer. All other reactions were free from gas-liquid diffusion control but this does not exclude the possible limitation by intra-porous diffusion. 

In this section we demonstrate the utility of the Caco-2 cell monolayer to provide a systematic and quantitative assessment of passive diffusion coupled with intra-... 

Most human cells are exposed to less than 2 mM Li+, and in most tissues the intracellular Li+ concentration is lower than the extracellular concentration. The level inside cells is generally below that expected for the passive diffusion of the Li+ ion across the cell membrane, indicating that Li+ is actively transported out of cells. For instance, the concentration of Li+ inside the erythrocytes from people taking lithium salts is low with a typical ratio of intra- to extracellular Li+ of 0.5 [53]. 

From a thermodynamic perspective, Stillinger and Weber demonstrated that the total entropy of the liquid can similarly be divided into two additive terms, a configurational and a vibrational contribution.5,6 The configurational part Sc measures the number of structurally distinct basins of attraction on the PEL that the configuration point accesses at a given temperature, whereas the vibrational contribution Svib characterizes the number of states associated with intra-basin fluctuations. Thus, the AG relationship, when viewed from the PEL perspective, suggests that it is the thermodynamic availability of basins on the landscape that dominates the rate of liquid-state diffusive processes. 

The relative importance of the boundary-film and intra-pellet diffusion in mass transfer is measured by the Biot number. On the assumption that there is no accumulation of adsorbate at the external surface of a pellet, then ... 

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