Kinetic analysis and design of experiments to identify the catalytic mechanism of the monocarboxylate transporter isoforms 4 and 1

Transport of lactate, pyruvate, and other monocarboxylates across the sarcolemma of skeletal and cardiac myocytes occurs via passive diffusion and by monocarboxylate transporter (MCT) mediated transport. The flux of lactate and protons through the MCT plays an important role in muscle energy metabolism during rest and exercise and in pH regulation during exercise. The MCT isoforms 1 and 4 are the major isoforms of this transporter in skeletal and cardiac muscle. The current consensus on the mechanism of these transporters, based on experimental measurements of labeled lactate fluxes, is that monocarboxylate-proton symport occurs via a rapid-equilibrium ordered mechanism with proton binding followed by monocarboxylate binding. This study tests ordered and random mechanisms by fitting experimental measurements of tracer exchange fluxes from MCT1 and MCT4 isoforms to theoretical predictions derived using relationships between one-way fluxes and thermodynamic forces. Analysis shows that: 1), the available kinetic data are insufficient to distinguish between a rapid-equilibrium ordered and a rapid-equilibrium random-binding model for MCT4; 2), MCT1 has a higher affinity to lactate than does MCT4; 3), the theoretical conditions for the so-called trans-acceleration phenomenon (e.g., increased tracer efflux from a vesicle caused by increased substrate concentration outside the vesicle) do not necessarily require the rate constant for the lactate and proton bound transporter to reorient across the membrane to be higher than that for the unbound transporter; and finally, 4), based on model analysis, additional experiments are proposed to be able to distinguish between ordered and random-binding mechanisms.     

Flux ratio theorems for nonstationary membrane transport with temporary capture of tracer

It has been shown recently that the ratio of unidirectional tracer fluxes, passing in opposite directions through a membrane which has transport properties varying arbitrarily with the distance from a boundary, is independent of time from the very first appearance of the two outfluxes from the membrane. This surprising proposition has been proved for boundary conditions defining standard unidirectional fluxes, and then generalized to classes of time-dependent boundary conditions. The operational meaning of all the resulting theorems is that when any of them appear to be refuted experimentally, the presence of more than one parallel transport pathway (that is, of membrane heterogeneity transverse to the direction of transport) can be inferred and analyzed. Recent experimental data have been interpreted accordingly. However, the proofs of the theorems given so far have not taken into account the possibility of temporary capture of tracer at sites fixed in the membrane (including also entrances to microscopic culs-de-sac). The possible presence of such a process, which would not affect fluxes in the steady state, left a fundamental gap in the aforementioned inferences. It is shown here that all the theorems previously proved for the flux ratio under unsteady conditions remain valid when temporary capture of tracer is admitted, no matter how the rate of capture, and the probability distribution of residence times of tracer at capture sites, may depend on the distance from a membrane boundary. The validity of the aforementioned inferences from observed time-dependence of the flux ratio is thereby extended to a much wider class of membrane transport processes.     

p-Chloromercuribenzenesulfonic acid stimulation of chloride-dependent sodium and potassium transport in human red blood cells

The organic mercurial p-chloromercuribenzensulfonic acid (PCMBS) reversibly increases fluxes of sodium and potassium across the human red blood cell membrane. We examined the effect of different monovalent anions on cation fluxes stimulated by PCMBS. A substantial portion of the fluxes of both cations was found to have a specific anion requirement for chloride or bromide, and was not observed when chloride was replaced by nitrate, acetate or methylsulfate. The chloride-dependent component of the cation fluxes was only observed when the cells were exposed to PCMBS concentrations of 0.5 mM or greater. Furosemide (1 mM) did not inhibit the PCMBS-stimulated cation fluxes. The observed anion specificity is directly associated with the transport process rather than PCMBS binding to the membrane. A portion of the potassium transport stimulated by PCMBS appears to involve K+-K+ exchange; however, Na+ + K+ cotransport is not stimulated by this sulfhydryl reagent.     

Single channel gating events in tracer flux experiments. II. Flux amplitude analysis

Measurement of tracer ion flux from or into a collection of closed membrane structures (CMS) constitutes a broadly applicable technique for studying ion channel gating by specialized gating molecules in biological membranes. The amplitudes for the flux process reflect the overall change in tracer content due to flux during a period in which channels on at least some of the CMS were open. In practice, the attainment of a time-invariant, finite overall tracer content, indicating a cessation of flux, need not imply that flux has reached completion, i.e., that the CMS internal and external tracer concentrations have fully reached equilibrium. Less than maximum flux amplitudes arise when binding of control ligands leads to an inhibition or inactivation of the channel gating molecules prior to a complete equilibration of tracer. Analysis of the dependence of the flux amplitudes on control ligand concentration permits determination of characteristic parameters of the CMS that may vary with the methods of preparation (e.g., the distributions of CMS size and CMS content of gating units). Knowledge of these parameters in turn permits evaluation of the mean single channel flux amplitude contribution, which is functionally dependent on the rate constant ratio (k'eff/ki), where k'eff and ki are, respectively, the effective rate constants for tracer flux and for gating unit inactivation.     

A new, non-perturbing, sampling procedure in tracer exchange measurements

An isotope procedure for the tracing of ion fluxes and rate constants in intact plants is presented and applied to 42K-labelled potassium fluxes in cells of intact barley (Hordeum vulgare L.) roots. This procedure differs from conventional tracer efflux protocols in that tracer accrual in the external solution bathing the labelled roots is continually monitored by solution subsampling, whereas conventional protocols involve monitoring the specific-activity decline in a sequence of eluates that wash out tracer released by roots. The new technique minimizes physical disturbance to the plant system, while permitting excellent time resolution of efflux kinetics. In the high-affinity transport (HATS) range, the flux and exchange parameters determined using this method showed close agreement with those found using a conventional protocol. However, in the low-affinity transport (LATS) range, substantially higher influx and efflux were seen than are normally observed with conventional tracer techniques. It is shown that this difference is attributable to the greater disturbance-sensitivity of LATS transport, and conclude that the measurement of fluxes is much more difficult in this transport range than in the disturbance-resistant HATS range.     

Optical measurements of Na-Ca-K exchange currents in intact outer segments isolated from bovine retinal rods

The properties of Na-Ca-K exchange current through the plasma membrane of intact rod outer segments (ROS) isolated from bovine retinas were studied with the optical probe neutral red. Small cellular organelles such as bovine ROS do not offer an adequate collecting area to measure Na-Ca-K exchange currents with electrophysiological techniques. This study demonstrates that Na-Ca-K exchange current in bovine ROS can be measured with the dye neutral red and dual-wavelength spectrophotometry. The binding of neutral red is sensitive to transport of cations across the plasma membrane of ROS by the effect of the translocated cations on the surface potential of the intracellular disk membranes (1985. J. Membr. Biol. 88: 249-262). Electrogenic Na+ fluxes through the ROS plasma membrane were measured with a resolution of 10(5) Na+ ions/ROS per s, equivalent to a current of approximately 0.01 pA; maximal electrogenic Na-Ca-K exchange flux in bovine ROS was equivalent to a maximal exchange current of 1-2 pA. Electrogenic Na+ fluxes were identified as Na-Ca-K exchange current based on a comparison between electrogenic Na+ flux and Na(+)-stimulated Ca2+ release with respect to flux rate, Na+ dependence, and ion selectivity. Neutral red monitored the net entry of a single positive charge carried by Na+ for each Ca2+ ion released (i.e., monitored the Na-Ca-K exchange current). Na-Ca-K exchange in the plasma membrane of bovine ROS had the following properties: (a) Inward Na-Ca-K exchange current required internal Ca2+ (half-maximal stimulation at a free Ca2+ concentration of 0.9 microM), whereas outward Na-Ca-K exchange current required both external Ca2+ (half-maximal stimulation at a free Ca2+ concentration of 1.1 microM) and external K+. (b) Inward Na-Ca-K exchange current depended in a sigmoidal manner on the external Na+ concentration, identical to Na(+)-stimulated Ca2+ release measured with Ca(2+)-indicating dyes. (c) The neutral red method was modified to measure Ca(2+)-activated K+ fluxes (half-maximal stimulation at 2.7 microM free Ca2+) via the Na-Ca-K exchanger in support of the notion that the rod Na-Ca exchanger is in effect a Na-Ca-K exchanger. (d) Competitive interactions between Ca2+ and Na+ ions on the exchanger protein are described.     

Transepithelial transport of vinblastine by kidney-derived cell lines. Application of a new kinetic model to estimate in situ Km of the pump

We present a new transport model that may be useful for many kinds of transepithelial transport experiments. The model permits estimation of a pump Km and pump activity solely on the basis of transepithelial tracer fluxes. We apply the model to studies of a multidrug efflux pump, P-glycoprotein, which is normally located in the apical plasma membrane of certain transporting epithelia such as kidney proximal tubule cells. To determine the functional properties of this multidrug transporter in an epithelium, we studied the transepithelial transport of the chemotherapeutic drug, vinblastine, in epithelia formed by the kidney cell lines MDCK, LLC-PK1, and OK. We have previously shown that basal to apical flux of 100 nM vinblastine was about five times higher than apical to basal flux in MDCK epithelia, indicating that there is a net transepithelial transport of vinblastine across MDCK epithelia. Addition of unlabeled vinblastine reduced basal to apical flux of tracer and increased apical to basal flux of tracer in a concentration-dependent manner, a pattern expected if there is a saturable pump that extrudes vinblastine at the apical plasma membrane. The model permits estimation of a pump Km and pump activity solely on the basis of transepithelial tracer fluxes. According to the transport model the apical membrane pump has Michaelis-Menten kinetics with an apparent Km = 1.1 microM. Net basal to apical transport of vinblastine was also observed in LLC-PK1 cells and OK cells which are other kidney-derived cell lines. The order of potency of the transport is LLC-PK1 greater than MDCK greater than OK cells. The organic cation transporter is not involved in this vinblastine transport because vinblastine transport in MDCK cells was not affected by 3 mM tetramethyl- or tetraethylammonium. Inhibitors of vinblastine transport in MDCK cells was not affected by potency, were verapamil greater than vincristine greater than actinomycin D greater than daunomycin. The transport pattern we observed is that predicted to result from the function of the multidrug transporter in the apical plasma membrane.     

Magnesium effects on activation of skinned fibers from striated muscle

The intracellular Ca movements that control contraction and relaxation of striated muscle are regulated by the membrane potential and influenced by Mg2+. In skinned fibers, the internal composition can be manipulated directly by Ca movements estimated from isometric force transients, net changes in sarcoplasmic reticulum (SR) Ca, and 45Ca flux between fiber and bath. Stimulated Ca release, unlike unstimulated 45Ca efflux at low external [Ca2+], is highly [Mg2+]-sensitive at 20 C. Force and tracer measurements indicate three major sites of Mg2+-Ca2+ interaction in situ: Mg2+ can stimulate the SR active Ca transport system, inhibit a Ca2+-dependent Ca efflux pathway of SR, and shift the force-[Ca2+] relation, presumably by reducing Ca2+ binding to myofilament regulatory sites. These mechanisms constrain the resting Ca flux and are adaptive during relaxation. However, analysis of CI-stimulated 45Ca release and reaccumulation suggests that the depolarization process may inhibit Mg2+-dependent Ca influx, the membrane potential controlling both efflux and influx; recent studies on voltage-clamped cut fibers support this hypothesis. The Ca2+ and Mg2+ dependence of caffeine-stimulated 45Ca efflux suggests that Mg2+ inhibition of the Ca2+-dependent efflux pathway is small during rapid Ca2+ efflux. Therefore, both Mg2+ mechanisms, which minimize net release, may be reversed during normal activation.     

p-Aminohippurate transport in canine tracheal epithelium

The unidirectional fluxes of 20, 100, 500, and 2,000 microM rho-aminohippurate (PAH) were measured under open- and short-circuit conditions in canine tracheal epithelium mounted as flat sheets in Ussing chambers. In tissues pretreated with mucosal indomethacin (10(-6) M) and amiloride (10(-4) M), unidirectional PAH fluxes under short-circuit conditions increased with increasing bath concentrations but there was no significant net PAH transport. After stimulation of chloride secretion by mucosal cyclic adenosine 3',5' -cyclic monophosphate (cAMP 10(-3) M), there was a significant increase in the secretory flux of PAH and a significant decrease in the absorptive flux of PAH. This resulted in net PAH secretion that demonstrated saturation kinetics with an apparent Michaelis-Menten constant of 754 microM by Lineweaver-Burk analysis. Intracellular concentrations of PAH were 0.4-1.2 times bath concentrations after pretreatment with indomethacin and amiloride and increased to 2.6-3.3 times bath concentrations after cAMP. Under open-circuit conditions, secretory PAH flux decreased and absorptive flux increased resulting in net PAH absorption. We conclude from these early studies that the canine tracheal epithelium possesses a specialized system for the transport of organic anions in the airways and that this transport system may share many similarities with organic anion transport in the kidney.     

Potassium secretion by the cortical collecting tubule

The isolated perfused rabbit cortical collecting tubule has been shown to actively transport K from bath to lumen. The first step in this process is active uptake of K across the basolateral membrane via and Na:K exchange pump as evidenced by: 1) basolateral localization and Na:K exchange properties of the ouabain-sensitive Na,K-ATPase, 2) ouabain sensitivity of the Na and K fluxes, 3) interdependence of the Na and K fluxes, and 4) ouabain-sensitivity of 42K uptake into the cell across the basolateral membrane. At the luminal border, a significant K permeability of the apical cell membrane has been identified using electrophysiological techniques. This K permeability is insensitive to the diuretic amiloride, and, thus, differs from the pathway for Na entry, which is highly amiloride sensitive. A significant K permeability of the paracellular pathway is not apparent. It is concluded that K secretion by the rabbit cortical collecting tubule occurs via a two-step process: active uptake of K across the basolateral membrane via the Na:K exchange pump, followed by passive efflux of K across the apical membrane via an amiloride-insensitive K conductive pathway.     

Kinetic analysis of l-lactate transport in human erythrocytes via the monocarboxylate-specific carrier system

Three parallel pathways of l-lactate transport across the membrane of human red blood cells can be discriminated: (a) by nonionic diffusion; (b) via the band 3 anion exchange protein; and (c) via a specific monocarboxylate carrier system. Influx of lactate via the latter system leads to alkalinization of the medium, suggesting lactate-proton symport. Kinetic analysis of initial lactate influx via the monocarboxylate carrier indicates a symport system with ordered binding of the two ligands, in the sense that a proton binds first to the translocator, followed by lactate binding to the protonated carrier. The influence of varying trans-pH under conditions of net (zero-trans) flux with constant cis-pH indicates that the monocarboxylate translocator should be considered as a mobile carrier, with the ligand-binding sites exposed alternately to the outside and the inside of the membrane.     

Kinetic analysis of L-lactate transport in human erythrocytes via the monocarboxylate-specific carrier system

Three parallel pathways of L-lactate transport across the membrane of human red blood cells can be discriminated: (a) by nonionic diffusion; (b) via the band 3 anion exchange protein; and (c) via a specific monocarboxylate carrier system. Influx of lactate via the latter system leads to alkalinization of the medium, suggesting lactate-proton symport. Kinetic analysis of initial lactate influx via the monocarboxylate carrier indicates a symport system with ordered binding of the two ligands, in the sense that a proton binds first to the translocator, followed by lactate binding to the protonated carrier. The influence of varying trans-pH under conditions of net (zero-trans) flux with constant cis-pH indicates that the monocarboxylate translocator should be considered as a mobile carrier, with the ligand-binding sites exposed alternatively to the outside and the inside of the membrane.     

86Rb+ fluxes in Chinese hamster ovary cells as a function of membrane cholesterol content

Steady-state fluxes of 86Rb+ (as a tracer for K+) were measured in Chinese hamster ovary cells (CHO-K1) and a mutant (CR1) defective in the regulation of cholesterol biosynthesis; the membrane cholesterol content of this mutant was varied by growing it on a range of cholesterol supplements to lipid-free medium (Sinensky, M. (1978) Proc. Natl. Acad. Sci. U.S. 75, 1247--1249). Analogous to previous findings in ascites tumor cells, 86Rb+ influx in the parent strain was differentiated into a ouabain-inhibitable 'pump' flux, furosemide-sensitive, chloride-dependent exchange diffusion, and a residual 'leak' flux. On the basis of this flux characterization, 86Rb+ pump and leak fluxes were measured in the mutant as a function of membrane cholesterol content. Pump and leak fluxes, when expressed per ml cell water, were independent of the cholesterol content of the mutant. Moreover, 86Rb+ fluxes in the mutant were equal to those in the parent strain. Our data imply that the flux behavior of K+ in the steady state is independent of the ordering of membrane lipid acyl chains.     

Further Observations on Asymmetrical Solute Movement across Membranes

The permeability of frog skin under the influence of urea hyperosmolarity has been studied. Flux ratio asymmetry has been demonstrated again for tracer mannitol. The inhibitors DNP, CN^-, and ouabain have been used to eliminate active sodium transport and it was found that urea hyperosmolarity produces asymmetrical mannitol fluxes on frog skins having no short-circuit current. These findings suggest that flux ratio asymmetry is due to solute interaction and is unrelated to sodium transport. Studies with a synthetic membrane show clearly that bulk flow of fluid can produce a "solvent drag" effect and change flux ratios. When bulk flow is blocked and solute gradients allowed their full expression, then solute interaction "solute drag" is easily demonstrable in a synthetic system.     

Diffusion of carbon dioxide through lipid bilayer membranes. Effects of carbonic anhydrase, bicarbonate, and unstirred layers

Diffusion of (14)C-labeled CO(2) was measured through lipid bilayer membranes composed of egg lecithin and cholesterol (1:1 mol ratio) dissolved in n-decane. The results indicate that CO(2), but not HCO(3-), crosses the membrane and that different steps in the transport process are rate limiting under different conditions. In one series of experiments we studied one-way fluxes between identical solutions at constant pCO(2) but differing [HCO(3-)] and pH. In the absence of carbonic anhydrase (CA) the diffusion of CO(2) through the aqueous unstirred layers is rate limiting because the uncatalyzed hydration-dehydration of CO(2) is too slow to permit the high [HCO(3-)] to facilitate tracer diffusion through the unstirred layers. Addition of CA (ca. 1 mg/ml) to both bathing solutions causes a 10-100-fold stimulation of the CO(2) flux, which is proportional to [HCO(3-)] over the pH range 7-8. In the presence of CA the hydration- dehydration reaction is so fast that CO(2) transport across the entire system is rate limited by diffusion of HCO(3-) through unstirred layers. However, in the presence of CA when the ratio [HCO(3-) + CO(3=)]:[CO(2)] more than 1,000 (pH 9-10) the CO(2) flux reaches a maximum value. Under these conditions the diffusion of CO(2) through the membrane becomes rate limiting, which allows us to estimate a permeability coefficient of the membrane to CO(2) of 0.35 cm s(-1). In a second series of experiments we studied the effects of CA and buffer concentration on the net flux of CO(2). CA stimulates the net CO(2) flux in well buffered, but no in unbuffered, solutions. The buffer provides a proton source on the upstream side of the membrane and proton sink on the downstream side, thus allowing HCO(3-) to facilitate the net transport of CO(2) through the unstirred layers.     

Time course analysis of cotransport in membrane vesicles: solutes and tracers

A theoretical analysis of the time course of a ternary cotransport system in membrane vesicles has been developed by extending previous work (Weiss, S.D. et al. (1981) J. Theor. Biol. 93, 597-608; Heinz, E. and Weinstein, M. (1984) Biochim. Biophys. Acta 776, 83-91). It has been assumed that the translocation of the carrier is the rate-limiting step of the transport process. Our approach includes, in particular, the presence of isotope tracer fluxes and the generalization to the case when many solutes share the same carrier. The situation when the tracer and the solute behave differently, as in the countertransport case, is stressed. Also, the interaction of two different solutes, internal and external to vesicles, is considered. Other points regard the analysis of the solute binding to the membrane vesicles, the influence of water permeability and the possible asymmetry of the transport system. In the Appendix, the assumption of no net translocation of all carrier species is discussed.     

Nucleobase transporter-mediated permeation of 2',3'-dideoxyguanosine in human erythrocytes and human T-lymphoblastoid CCRF-CEM cells.

Several 2',3'-dideoxynucleosides (ddNs), agents that inhibit the replication of human immunodeficiency virus and hepatitis B virus, enter mammalian cells by simple diffusion. In this report, we show that the membrane permeation of 2',3'-dideoxyguanosine (ddG) in human erythrocytes and CCRF-CEM cells, in contrast with that of other ddNs, is transporter-mediated. Inward fluxes of ddG in both cell types were inhibited by adenine, hypoxanthine, and acyclovir, but not by inhibitors of nucleoside transport (nitrobenzylthioinosine, dipyridamole, dilazep). Fluxes of ddG in human erythrocytes were attributable to a single, rate-saturable process (Km, 380 +/- 90 microM and Vmax, 7.9 +/- 0.8 pmol/s/microliter cell water) that was competitively inhibited by adenine (Ki, 16 microM). These results showed that ddG entered human erythrocytes and CCRF-CEM cells by a transporter-mediated process that was also the basis for entry of purine nucleobases. In contrast, inward fluxes of 2,6-diaminopurine-2',3'-dideoxyriboside (ddDAPR), a prodrug of ddG, were not affected by purine nucleobases or nucleoside transport inhibitors in either cell type. Thus, the permeation properties of ddDAPR resembled those of 2',3'-dideoxyadenosine, a diffusional permeant (cell uptake is transporter-independent), and contrasted with those of ddG, the deamination product of ddDAPR. This study demonstrated that the nucleobase moiety of ddNs is an important determinant of membrane permeation.     

Analysis of the Components of Ionic Flux across a Membrane

The unidirectional flux of an ionic species may occur because of several mechanisms such as active transport, passive diffusion, exchange diffusion, etc. The contribution of such mechanisms to the total unidirectional flux across a membrane cannot be determined by only measuring that flux. It is shown that if the pertinent experimental data (the opposite unidirectional fluxes and the composite phenomenological resistance coefficient of the ionic species for a given electrochemical potential difference) obey a certain inequality, then the parameters of a model consisting of parallel, independent, active transport, and passive processes may be determined. Although the existence of "additional" processes including exchange diffusion, single-file pore diffusion, isotope interaction, etc. is not disproved, their existence is unnecessary if the inequality is satisfied. Two types of violations of the inequality may occur: (a) if the upper limit is disobeyed the presence of another substance contributing to the measured resistance and/or a constant affinity of the active transport process may be indicated; (b) if the lower limit is disobeyed it is necessary to postulate the existence of an additional process. For the latter type of violation, exchange diffusion is chosen as an example. Methods are given for determining the contribution of exchange diffusion, active transport, and passive diffusion to the unidirectional flux for some special cases.