Transport of solutes

The concentration boundary layer forms because of the convective transport of solutes toward the membrane due to the viscous drag exerted by the flux. A diffusive back-transport is produced by the concentration gradient between the membranes surface and the bulk. At equiUbrium the two transport mechanisms are equal to each other. Solving the equations leads to an expression of the flux ... 

It is usually believed that the growth of dendritic crystals is controlled by a bulk diffusion-controlled process which is defined as a process controlled by a transportation of solute species by diffusion from the bulk of aqueous solution to the growing crystals (e.g., Strickland-Constable, 1968 Liu et al., 1976). The appearances of feather- and star-like dendritic shapes indicate that the concentrations of pertinent species (e.g., Ba +, SO ) in the solution are highest at the corners of crystals. The rectangular (orthorhombic) crystal forms are generated where the concentrations of solute species are approximately the same for all surfaces but it cannot be homogeneous when the consumption rate of solute is faster than the supply rate by diffusion (Nielsen, 1958). 

One approach to the study of solubility is to evaluate the time dependence of the solubilization process, such as is conducted in the dissolution testing of dosage forms [70], In this work, the amount of drug substance that becomes dissolved per unit time under standard conditions is followed. Within the accepted model for pharmaceutical dissolution, the rate-limiting step is the transport of solute away from the interfacial layer at the dissolving solid into the bulk solution. To measure the intrinsic dissolution rate of a drug, the compound is normally compressed into a special die to a condition of zero porosity. The system is immersed into the solvent reservoir, and the concentration monitored as a function of time. Use of this procedure yields a dissolution rate parameter that is intrinsic to the compound under study and that is considered an important parameter in the preformulation process. A critical evaluation of the intrinsic dissolution methodology and interpretation is available [71]. 

PROFILE is a biogeochemical model developed specially to calculate the influence of acid depositions on soil as a part of an ecosystem. The sets of chemical and biogeochemical reactions implemented in this model are (1) soil solution equilibrium, (2) mineral weathering, (3) nitrification and (4) nutrient uptake. Other biogeochemical processes affect soil chemistry via boundary conditions. However, there are many important physical soil processes and site conditions such as convective transport of solutes through the soil profile, the almost total absence of radial water flux (down through the soil profile) in mountain soils, the absence of radial runoff from the profile in soils with permafrost, etc., which are not implemented in the model and have to be taken into account in other ways. 

Transport of Solutes Across Biological Membranes in Eukaryotes an Environmental Perspective... 

Secondary transport the transport of solutes against the electrochemical gradient using energy derived from the co- or counter-transport of another solute down its electrochemical gradient. The latter gradient ultimately being derived from other primary transporters. 

Koster, W. (2004). Transport of solutes across biological membranes prokaryotes. In Physio chemical Kinetics and Transport at Biointerfaces, eds. van Leeuwen, H. P. and Koster, W., Yol. 9, IUPAC Series on Analytical and Physical Chemistry of Environmental Systems, Series eds. Buffle, J. and van Leeuwen, H. P., John Wiley Sons, Ltd, Chichester, UK, pp. 271-335. 

LEACH - One-Dimensional Transport of Solute Through Soil System... 

Vary the parameters within the above ranges. How does the soil type affect the transport of solutes Modify the model so that the soil characteristics vary with depth, e.g., a sandy soil near the surface becoming clay deeper below the... 

As discussed by Frankemfeld and Li(28) and del Cerro and Boey(29), liquid membrane extraction 28,29) involves the transport of solutes across thin layers of liquid interposed between two otherwise miscible liquid phases. There are two types of liquid membranes, emulsion liquid membranes (ELM) and supported liquid membranes (SLM). They are conceptually similar, but substantially different in their engineering. 

Proximal tubule Cells of the PCT are responsible for bulk transport of solutes, with approximately 70-80% of the filtered load of sodium chloride (active processes) and water (passive, down the osmotic gradient established by sodium reabsorption) and essentially all of the amino acids, bicarbonate, glucose and potassium being reabsorbed in this region. 

Figure 2.2 Schematic diagram of the physical model for passive transport of solutes across the intestinal membrane. The bulk aqueous solution with an aqueous boundary layer (ABL) on the mucosal side is followed by a heterogeneous membrane consisting of lipoidal and aqueous channel pathways and thereafter by a sink on the serosal side. (Adapted from Ho et al. [5]).

The effect of percolation on transport of solutes through the soil is quantified as follows. If there is a concentration gradient of a solnte throngh the soil, from Equation (2.4) the net flnx due to mass flow and diffnsion is... 

Transport of solutes and gases through the soil is much slower than through soil-free water because of the restricted cross-sectional area for transport through the soil pore network and because of adsorption and reaction on soil surfaces (Chapter 2). Redox conditions are therefore closely linked to transport processes. 

It has been recognised for some time (see for example reference 1), that surfactants can increase the rate and extent of transport of solute molecules through biological membranes by fluidisation of the membrane. It is only recently, however, that sufficient work has been carried out to allow some analysis of structure-action relationships. In this overview an attempt is made, by reference to our own work and to work in the literature, to define those structural features in polyoxyethylene alkyl and aryl ethers which give rise to biological activity, especially as it is manifested in interactions with biomembranes and subsequent increase in the transport of drug molecules. 

In the steady-state condition, this "gel-layer", as it is sometimes called, will grow in thickness until the pressure-activated convective transport of solute with solvent toward the membrane surface just equals the concentration grgdient-... 

In summary, in solid tumours the laws of hydrodynamics and transport of solutes mitigate against the successful delivery of drugs and macromolecules to tumour cells. 

Simultaneous transport of solute with a transport of another solute in the same direction (syntrop) or in the opposite direction (antitrop). 

Peppas and Reinhart have also proposed a model to describe the transport of solutes through highly swollen nonporous polymer membranes [155], In highly swollen networks, one may assume that the diffusional jump length of a solute molecule in the membrane is approximately the same as that in pure solvent. Their model relates the diffusion coefficient in the membrane to solute size as well as to structural parameters such as the degree of swelling and the molecular weight between crosslinks. The final form of the equation by Peppas and Reinhart is... 

These porous structures may hinder the transport of solutes away from the membrane downstream surface, causing a local increase of the solute partial pressure and hence a decrease of the driving force (19.1). Eventually, solute condensation may occur if the solutes local partial pressure surmounts its saturation vapour pressure. This problem becomes particularly relevant when dealing with high-boiling aroma compounds [14] and when pressure drop in the downstream circuit increases owing to poor module design. 

Apart from the diffusion step in the particle, when the uptake process occurs from a binary or multicomponent fluid mixture, there maybe an additional resistance to mass transfer associated with the transport of solutes through the fluid layer surrounding the particle. The driving force in this case is the concentration difference across the boundary layer, and the flux at the particle surface is... 

Surface active substances (surfactants) are chemicals which accumulate at the water surface and reduce the air-water interfacial tension. The influence of such films on air-water exchange is twofold (1) they create an additional transport barrier, and (2) they change the hydrodynamics at the water surface such that the transport of solutes by eddies approaching the water surface is reduced (hydrodynamic damping). 

---