Facilitated diffusion: The problem of boundary conditions

Summary The model equations suggested by Wyman (1966) to explain Wittenberg's (1966) experiments on oxygen diffusion facilitated by haemoglobin have been studied by various authors. Kreuzer and Hoofd (1970) use a semi-analytical and numerical approach; Kutchaiet al. (1970) use a purely numerical approach; and Murray (1971) solved the equations analytically. Although the results they obtain are in good agreement with experiment, Kreuzer and Hoofd (1970) and Kutchaiet al. (1970) on the one hand and Murray (1971) and Murray and Wyman (1971) on the other use fundamentally different boundary conditions. This paper reconsiders the problem and proves that these different boundary conditions are equivalent for practically all situations of biological interest. The conclusion is that the simple algebraic result of Murray (1971) suffices for most experimental situations. In the extreme situations where his procedure is not applicable, which are distinguished in the text, the numerical scheme of Kutchaiet al. (1970) is recommended.P. J. M. would like to thank the Science Research Council for their financial support.     

Mechanisms underlying CO2 diffusion in leaves

Plants provide an excellent system to study CO(2) diffusion because, under light saturated conditions, photosynthesis is limited by CO(2) availability. Recent findings indicate that CO(2) diffusion in leaves can be variable in a short time range. Mesophyll CO(2) conductance could change independently from stomata movement or CO(2) fixing reactions and it was suggested that, beside others, the membranes are mesophyll CO(2) conductance limiting components. Specific aquaporins as membrane intrinsic pore proteins are considered to have a function in the modification of membrane CO(2) conductivity. Because of conflicting data, the mechanism of membrane CO(2) diffusion in plants and animals is a matter of a controversy vivid debate in the scientific community. On one hand, data from biophysics are in favor of CO(2) diffusion limiting mechanisms completely independent from membrane structure and membrane components. On the other, there is increasing evidence from physiology that a change in membrane composition has an effect on CO(2) diffusion.     

Facilitated diffusion of urate in avian brush-border membrane vesicles

Membrane transport pathways mediatingtranscellular secretion of urate across the proximal tubule wereinvestigated in brush-border membrane vesicles (BBMV) isolated fromavian kidney. An inside-positive K diffusion potential induced aconductive uptake of urate to levels exceeding equilibrium.Protonophore-induced dissipation of membrane potential significantlyreduced voltage-driven urate uptake. Conductive uptake of urate wasinhibitor sensitive, substrate specific, and a saturable function ofurate concentration. Urate uptake was trans-stimulated byurate and cis-inhibited by p-aminohippurate (PAH). Conductive uptake of PAH was cis-inhibited by urate.Urate uptake was unaffected by an outward -ketoglutarate gradient. In the absence of a membrane potential, urate uptake was similar in thepresence and absence of an imposed inside-alkaline pH gradient or anoutward Cl gradient. These observations suggest a uniporter-mediated facilitated diffusion of urate as a pathway for passive efflux acrossthe brush border membrane of urate-secreting proximal tubule cells.

     

Facilitated diffusion: the elasticity of oxygen supply.

It is well established that the presence of oxygen-carrying proteins such as haemoglobin can facilitate the diffusion of oxygen through a solution. In this paper, it is shown that some properties of a facilitated flow are substantially different from those of unfacilitated flux, including especially the stability of the tension at which the oxygen arrives at the end of the diffusion path. The concept of the “output resistance” of the supply is introduced, and a facilitated pathway is shown to have a lowered resistance. A role for the storage capacity of the bound oxygen reservoir is also developed; it is shown that delivery oxygen tensions are stabilized against transient changes in oxygen demand. In treating the equations of facilitated diffusion, a simplified approach is used to take account of boundary layers in the solution where deviations from oxygen-protein equilibrium are significant. A measure of the thickness and importance of such boundary layers is calculated.     

Facilitated diffusion with consecutive reaction: optimal carrier affinity

The interplay between facilitated diffusion of a substrate through a membrane and a consecutive enzymic reaction, both of which follow Michaelis-Menten kinetics, has been theoretically investigated and the effect of the kinetic and transport parameters on the rate of substrate uptake is graphically illustrated. At steady state two characteristic features of the system have been identified. First, the substrate concentration at the internal enzymic side of the membrane cannot exceed a given value even at much higher external substrate concentrations. Second, the uptake rate is maximum at a given value of K_T, the kinetic parameter of the transport system that expresses the reciprocal carrier affinity of the substrate. The optimum value of K_T is approximately equal to the external substrate concentration. This particular dependence of the uptake rate on the carrier affinity is expected to play an important role in hormonal regulation.     

Facilitated transport of urea across the gall-bladder luminal membrane.

Counterflow experiments demonstrate the existence of urea counter-transport on the epithelium luminal surface. This phenomenon disappears when 10(-4) M phloretin is added to the perfusion fluid. Moreover counterflow experiments made using thiourea as elicitor, demonstrate that the phenomenon is specific for the urea.     

Effects of HgCl(2) on CO(2) dependence of leaf photosynthesis: evidence indicating involvement of aquaporins in CO(2) diffusion across the plasma membrane

Experiments were conducted to examine whether mercury-sensitive aquaporins facilitate photosynthetic CO(2) diffusion across the plasma membrane of leaf mesophyll cells. Discs without abaxial epidermes from Vicia faba leaflets were treated with HgCl(2), an inhibitor of aquaporins. Hydraulic conductivity of the plasma membrane of these discs, measured as the weight loss of the discs in the 1 M sorbitol solution, was inhibited by sub-mM concentrations of HgCl(2) by 70 to 80%. Photosynthetic CO(2) fixation was also inhibited by the HgCl(2) treatment in a similar concentration range. When 0.3 mM HgCl(2) solution was fed to the V. faba leaflets with intact epidermes via the transpiration stream, the rate of photosynthesis on leaf area basis (A) measured at photosynthetically active photon flux density of 700 micromol m(-2) s(-1) and at leaf temperature of 25 degrees C, decreased by about 20 to 30% at any CO(2) concentration in the intercellular spaces (C(i)). However, when CO(2) concentration in the chloroplast stroma (C(c)) was calculated from fluorescence and gas exchange data and A was plotted against C(c), A at low C(c) concentrations did not differ before and after the treatment. The conductance for CO(2) diffusion from the intercellular spaces to the chloroplast stroma (g(i)) decreased to 40 and 30% of the control value, when the leaflets were fed with 0.3 mM and 1.2 mM HgCl(2), respectively. Similar results were obtained with leaves of Phaseolus vulgaris. Although effects of HgCl(2) were not specific, the present results showed that HgCl(2) consistently lowered g(i). It is, thus, probable that the photosynthetic CO(2) uptake across the plasma membrane of the mesophyll cells is facilitated by mercury-sensitive aquaporins.     

Facilitated diffusion of a DNA binding protein on chromatin.

Facilitated diffusion accounts for the rapid rate of association of many bacterial DNA binding proteins with specific DNA sequences in vitro. In this mechanism the proteins bind at random to non-specific sites on the DAN and diffuse (by 'sliding' or 'hopping') along the DNA chain until they arrive at their specific functional sites. We have investigated whether such a mechanism can operate in chromatin by using a bacterial DNA binding protein, Escherichia coli RNA polymerase, that depends on linear diffusion to locate initiation sites on DNA. We have measured the competition between chromatin and its free DNA for the formation of initiation complexes. Only the short linker segments exposed by the removal of histone H1 are available for interaction with the polymerase, but the sparsely distributed promoter sites on the linker DNA of such a polynucleosome chain are located at the same rate as those on DNA. We conclude that the polymerase is free to migrate between the separate linker DNA segments of a polynucleosome chain to reach a promoter site. This chain thus permits the 'hopping' of proteins between neighboring linker segments in their search for a target site on the accessible DNA.     

Facilitated diffusion of VEGF165 through descemet's membrane with sucrose octasulfate

Vascular endothelial growth factor A (VEGF-A) is a promoter of neovascularization and thus a popular therapeutic target for diseases involving excessive growth of blood vessels. In this study, we explored the potential of the disaccharide sucrose octasulfate (SOS) to alter VEGF165 diffusion through Descemet's membrane. Descemet's membranes were isolated from bovine eyes and used as a barrier between two chambers of a diffusion apparatus to measure VEGF transport. Diffusion studies revealed a dramatic increase in VEGF165 transport in the presence of SOS, with little diffusion of VEGF165 across the membrane over a 10-h time course in the absence of SOS. Diffusion studies with VEGF121, a non-heparin binding variant of VEGF, showed robust diffusion with or without SOS. To determine a possible mechanism, we measured the ability of SOS to inhibit VEGF interactions with extracellular matrix (ECM), using cell-free and cell surface binding assays. Binding studies showed SOS had no effect on VEGF165 binding to either heparin-coated plates or endothelial cell surfaces at less than mg/ml concentrations. In contrast, we show that SOS inhibited VEGF165 binding to fibronectin in a dose dependent manner and dramatically accelerated the rate of release of VEGF165 from fibronectin. SOS also inhibited the binding of VEGF165 to fibronectin-rich ECM deposited by vascular smooth muscle cells. These results suggest that fibronectin-rich extracellular matrices serve as barriers to VEGF165 diffusion by providing a network of binding sites that can trap and sequester the protein. Since the content of Descemet's membrane is typical of many basement membranes it is possible that they serve throughout the body as formidable barriers to VEGF165 diffusion and tightly regulate its bioavailability and distribution within tissues.     

1H- and 2H-NMR relaxation in serum albumin solutions

The proton and deuteron relaxation times T1 and T2 were investigated in water and heavy water solutions of fatless human serum albumin. The temperature, concentration and Larmor precession frequency dependences can be well described by the conception of fast exchange in a simple biphasic model of water molecules rotation in the first hydration layer with slight anisotropy of motion. In the protonated systems the intermolecular dipole-dipole relaxation mechanism must be taken into account.     

The physico-chemical mechanism of mediated transport. I. Facilitated diffusion

On the basis of the currently accepted model for the cell membrane structure, a physico-chemical model for mediated transport is developed and solved for the case of polar non-electrolyte migration through the cell membrane. The model considers the interstitial space defined by the transport protein subunits to be the migration pathway for polar solutes. A Langmuir-type adsorption equilibrium is assumed at the interfaces and a multicomponent diffusion mechanism of solute and water is postulated within the migration pathway, where the polar residues of the transport protein represent another component of the system. Membrane selectivity is governed by the adsorption constants, which are shown to affect strongly the kinetics of transport. Isosmotic transport and the volume change of the cell are important features incorporated in the model, which is shown to fulfill the peculiar properties of facilitated diffusion systems. It is concluded that the same type of pathway can be used for the transport of other polar solutes through existing or induced hydrophilic channels, for which a similar approach is suggested.