Protein adsorption on Ion exchange resin: Estimation of equilibrium isotherm parameters from batch kinetic data

The simple Langmuir isotherm is frequently employed to describe the equilibrium behavior of protein adsorption on a wide variety of adsorbents. The two adjustable parameters of the Langmuir isotherm—the saturation capacity, orq _m, and the dissociation constant,K _d—are usually estimated by fitting the isotherm equation to the equilibrium data acquired from batch equilibration experiments. In this study, we have evaluated the possibility of estimatingq _m andK _d for the adsorption of bovine serum albumin to a cation exchanger using batch kinetic data. A rate model predicated on the kinetic form of the Langmuir isotherm, with three adjustable parameters (q _m,K _d, and a rate constant), was fitted to a single kinetic profile. The value ofq _m determined as the result of this approach was quantitatively consistent with theq _m value derived from the traditional batch equilibrium data. However, theK _d value could not be retrieved from the kinetic profile, as the model fit proved insensitive to this parameter. Sensitivity analysis provided significant insight into the identifiability of the three model parameters.     

Outward K+ channels in Brassica chinensis pollen protoplasts are regulated by external and internal pH

Summary.  Patch-clamp whole-cell and single-channel recording techniques were used to investigate the regulation of outward K⁺ channels by external and internal protons in Brassica chinensis pollen protoplasts. Outward K⁺ currents and conductance were insensitive to external pH (pH_o) except at pH 4.5. Maximal conductance (G _max) for the outward K⁺ currents was inhibited at acidic external pH. Half-activation voltage (E _1/2) for the outward K⁺ currents shifted to more positive voltages along with the decrease in pH_o. E _1/2 can be described by a modified Henderson–Hasselbalch equation expected from a single titratable binding site. The activation kinetics of the outward K⁺ channels was largely insensitive to pH_o. An internal pH (pH_i) of 4.5 significantly increased outward K⁺ currents and conductance. G _max for the outward K⁺ currents decreased with elevations in pH_i. In contrast to the effect of pH_o, E _1/2 was shifted to more positive voltages with elevations in pH_i. The outward K⁺ currents, G _max and E _1/2 can be described by the modified Henderson–Hasselbalch equation. Furthermore, acidifying pH_i accelerated the activation of the outward K⁺ currents significantly. The differences in electro-physiological properties among previously reported and currently described plant outward K⁺ channels may reflect differences in the structure of these channels. Received May 7, 2002; accepted July 9, 2002; published online November 29, 2002     

Fusion of cultured dog kidney (MDCK) cells: II. Relationship between cell pH and K+ conductance in response to aldosterone

Summary We have chosen the MDCK cell line to investigate aldosterone action on H⁺ transport and its role in regulating cell membrane K⁺ conductance (G _m ^K ). Cells grown in a monolayer respond to aldosterone indicated by the dose-dependent formation of domes and by the alkalinization of the dome fluid. The pH sensitivity of the plasma membrane K⁺ channels was tested in giant cells fused from individual MDCK cells. Cytoplasmic pH (pH _i ) andG _m ^K were measured simultaneously while the cell interior was acidified gradually by an extracellular acid load. We found a steep signoidal relationship between pH _i andG _m ^K (Hill coefficient 4.4±0.4), indicating multiple H⁺ binding sites at a single K⁺ channel. Application of aldosterone increased pH _i within 120 min from 7.22±0.04 to 7.45±0.02 and from 7.15±0.03 to 7.28±0.02 in the absence and presence of the CO₂/HCO ₃ ^– buffer system, respectively. We conclude that the hormone-induced cytoplasmic alkalinization in the presence of CO₂/ HCO ₃ ^– is limited by the increased activity of a pH _i -regulating HCO ₃ ^– extrusion system. SinceG _m ^K is stimulated half-maximally at the pH _i of 7.18±0.04, internal H⁺ ions could serve as an effective intracellular signal for the regulation of transepithelial K⁺ flux.     

Electrogenic and diffusive components of the membrane ofHydrodictyon africanum

Summary In cells of the freshwater algaHydrodictyon africanum, in solutions where [K⁺]₀=0.1mm and pH₀>7.0, the membrane in the light is hyperpolarized. The membrane potential difference {ie179-1} has values from –180 to –275 mV, more negative than any ion diffusion potential difference, and is predominantly a function of pH₀, and independent of [K⁺]₀. The hyperpolarization of the membrane appears to arise from an electrogenic efflux of H⁺, estimated from voltage-clamp data to be about 8 nmol m^–2 sec^–1 when pH₀=8.5. In the light the membrane conductanceg _m is about 0.084 S m^–2. At light-off, {ie179-2} becomes less negative, with a halftime for change of 15 to 30 sec andg _m decreases by about 0.052 S m^–2. After dark periods of up to 300 sec, {ie179-3} is largely independent of pH₀ for values greater than 6.0 and usually behaves as a combined K⁺ and Na⁺ diffusion potential with permeability ratioP _Na/P _K=0.05 to 0.2. The membrane potassium conductanceg _K has either a low value of 2–6×10^–2 Sm^–2, or a high value of up to 18×10^–2 S m^–2 depending on [K⁺]₀, the transition from low to high values occurring when {ie179-4} moves over a threshold value that is more negative than {ie179-5}, the electrochemical equilibrium potential for K⁺. The time for half-change of the transition is about 30 sec. The results are consistent with a model of the membrane in which the pump electromotive force and conductance are in parallel with diffusive electromotive forces and conductances. When the pump is operating its properties determine membrane properties, and when it is inoperative, or running at a diminished rate, the membrane properties are determined more by the diffusive pathways. Changes in both pump rate andg _K can account for a variety of characteristic changes in membrane PD and conductance occurring in response to ligh-dark changes, changes in light intensity, pasage of externally applied electric current across the membrane and changes in ionic constituents of the external medium.     

Speciation of phytate ion in aqueous solution. Non covalent interactions with biogenic polyamines

Abstract

The noncovalent interactions of phytate (Phy^6-) with biogenic amines were studied potentiometrically in aqueous solution, at t= 25°C. Several species are formed in the different H+-Phy^6--amine (A) systems, which have the general formula A_p(Phy)H_q^(12-q)-, with p ≤ 3 and 6 ≤ q ≤ 10. The stability of these species is strictly dependent on the charges involved in the formation equilibria. For the equilibrium pH_iAⁱ⁺ + H_j(Phy)⁽¹²-^j)- = A_p(Phy)H_q(^12q)-, (q = pi + j)we found the relationship logK= aζ (ζ is the charge product of reactants), where a= 0.35(0.03, valid for all the amines; this roughly indicates an average free energy contribution per bond -ΔG⁰ = 4.0 ± 0.2 kJ mol^-1. A slightly more sophisticated equation is also proposed for predicting the stability of these species. Owing to the quite high (partially protonated) phytate charge, the stability of A_p(Phy)H_q^(12-q)- species is quite high, making phytate a strong amine sequestering agent in a wide pH range.     

31P NMR analysis of intracellular pH of Swiss mouse 3T3 cells: Effects of extracellular Na+ and K+ and mitogenic stimulation

Summary Swiss mouse 3T3 cells grown on microcarrier beads were superfused with electrolyte solution during continuous NMR analysis. Conventional³¹P and¹⁹F probes of intracellular pH (pH _c ) were found to be impracticable. Cells were therefore superfused with 1 to 4mm 2-deoxyglucose, producing a large intracellular, pH-sensitive signal of 2-deoxyglucose phosphate (2DGP). The intracellular incorporation of 2DGP inhibited the Embden-Meyerhof pathway. However, intracellular ATP was at least in part retained and the cellular responsivity to changes in extracellular ionic composition and to the application of growth factors proved intact. Transient replacement of external Na⁺ with choline or K⁺ reversibly acidified the intracellular fluids. Quiescent cells and mitogenically stimulated cells displayed the same dependence of shifts in pH _c on external Na⁺ concentration (c _Na ^o ). pH _c also depended on intracellular Na⁺ concentration (c _Na ^o ). Increasingc _Na ^c by withdrawing external K⁺ (thereby inhibiting the Na,K-pump) caused reversible intracellular acidification; subsequently reducingc _Na ^o produced a larger acid shift in pH _c than with external K⁺ present. Comparison of separate preparations indicated that pH _c was higher in stimulated than in quiescent cells. Transient administration of mitogens also reversibly alkalinized quiescent cells studied continuously. This study documents the feasibility of monitoring pH _c of Swiss mouse 3T3 cells using³¹P NMR analysis of 2DGP. The results support the concept of a Na/H antiport operative in these cells, both in quiescence and after mitogenic stimulation. The data document by an independent technique that cytoplasmic alkalinization is an early event in mitogenesis, and that full activity of the Embden-Meyerhof pathway is not required for the expression of this event.     

Effects of potassium on the anion and cation contents of primary cultures of mouse astrocytes and neurons

Inastrocytes, as [K⁺]_o was increased from 1.2 to 10 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. As [K⁺]_o was increased from 10 to 60 mM, intracellular concentration of these three ions showed no significant change. When [K⁺]_o was increased from 60 to 122 mM, an increase in [K⁺]_i and [Cl^–]_i and a decrease in [Na⁺]_i were observed.Inneurons, as [K⁺]_o was increased from 1.2 to 2.8 mM, [Na⁺]_i and [Cl^–]_i were decreased, whereas [K⁺]_i was increased. As [K⁺]_o was increased from 2.8 to 30 mM, [K⁺]_i, [Na⁺]_i and [Cl^–]_i showed no significant change. When [K⁺]_o was increased from 30 to 122 mM, [K⁺]_i and [Cl^–]_i were increased, whereas [Na⁺]_i was decreased. Inastrocytes, pH_i increased when [K⁺]_o was increased. Inneurons, there was a biphasic change in pH_i. In lower [K⁺]_o (1.2–2.8 mM) pH_i decreased as [K⁺]_o increased, whereas in higher [K⁺]_o (2.8–122 mM) pH_i was directly related to [K⁺]_o. In bothastrocytes andneurons, changes in [K⁺]_o did not affect the extracellular water content, whereas the intracellular water content increased as the [K⁺]_o increased. Transmembrane potential (E_m) as measured with Tl-204 was inversely related to [K⁺]_o between 1.2 and 90 mM, a ten-fold increase in [K⁺]_o depolarized the astrocytes by about 56 mV and the neurons about 52 mV. The E_m values measured with Tl-204 were close to the potassium equilibrium potential (E_k) except those in neurons at lower [K⁺]_o. However, they were not equal to the chloride equilibrium potential (E_Cl) at [K⁺]_o lower than 30 mM in both astrocytes and neurons. Results of this study demonstrate that alteration of [K⁺]_o produced different changes in [K⁺]_i, [Na⁺]_i, [Cl^–]_i, and pH_i in astrocytes and neurons. The data show that astrocytes can adapt to alterations in [K⁺]_o, in such a way to maintain a more suitable environment for neurons.     

H+ transport and the regulation of intracellular pH in ehrlich ascites tumor cells

Summary The intracellular pH (pH _i ) of Ehrlich ascites tumor cells, both in the steady state and under conditions of acid loading or recovery from acid loading, was investigated by measuring the transmembrane flux of H⁺ equivalents and correlating this with changes in the distribution ratio of dimethyloxazolidine-2,4-dione (DMO). The pH _i of cells placed in an acidic medium (pH _o below 7.15) decreases and reaches a steady-state value that is more alkaline than the outside. For example when pH _o is acutely reduced to 5.5, pH _i falls exponentially from 7.20 ± 0.06 to 6.29 ± 0.04 with a halftime of 5.92 ± 1.37 min, suggesting a rapid influx of H⁺. The unidirectional influx of H⁺ exhibits saturation kinetics with respect to extracellular [H⁺]; the maximal flux is 15.8 ± 0.05 mmol/(kg dry wt · min) andK _m is 0.74 ± 0.09 × 10^–6 m.Steady-state cells with pH _i above 6.8 continuously extrude H⁺ by a process that is not dependent on ATP but is inhibited by anaerobiosis. Acid-loaded cells (pH _i 6.3) when returned to pH _o 7.3 medium respond by transporting H⁺, resulting in a rapid rise in pH _i . The halftime for this process is 1.09 ± 0.22 min. The H⁺ efflux measured under similar conditions increases as the intracellular acid load increases. An ATP-independent as well as an ATP-dependent efflux contributes to the restoration of pH _i to its steady-state value.     

The effects of weak acids on potassium uptake by Escherichia coli K-12. Inhibition by low cytoplasmic pH

The activity of the Escherichia coli K⁺ transport system TrkA was measured as a function of the cytoplasmic pH of the cell. For this purpose, pH_in was decreased by the addition of the weak acids acetic acid, benzoic acid or salicylic acid to K⁺-depleted cells. Under these conditions, the initial rate of K⁺ uptake decreased strongly with pH_in, and was almost independent of the acid used. This inhibition was due to a strong decrease in the V_max for K⁺ uptake, which indicates that low cytoplasmic pH inactivates the TrkA K⁺ uptake system. The relevance of this inhibition for growth and metabolism at low pH_in is discussed.     

Mechanism of aldosterone-induced increase of K+ conductance in early distal renal tubule cells of the frog

Summary Isolated early distal tubule cells (EDC) of frog kidney were incubated for 20–28 hr in the presence of aldosterone and then whole-cell K⁺ currents were measured at constant intracellular pH by the whole-cell voltage-clamp technique. Aldosterone increased barium-inhibitable whole-cell K⁺ conductance (gK⁺) threefold. This effect was reduced by amiloride and totally abolished by ouabain. However, aldosterone could still raisegK⁺ in ouabain-treated cells in the presence of furosemide.We tested whether changes in intracellular pH (pH _i ) could be a signal for cells to regulategK⁺. After removal of aldosterone, the increase ingK⁺ was preserved by subsequent incubation for 8 hr at pH 7.6 but abolished at pH 6.6. In the complete absence of aldosterone, incubation of cells at pH 8.0 for 20–28 hr raised pH _i and doubledgK⁺.Using the patch-clamp technique, three types of K⁺-selective channels were identified, which had conductances of 24, 45 and 59 pS.Aldosterone had no effect on the conductance or open probability (P _o) of any of the three types of channels. However, the incidence of observing type II channels was increased from 4 to 22%. Type II channels were also found to be pH sensitive,P _o was increased by raising pH.These results indicate that prolonged aldosterone treatment raises pH _i and increasesgK⁺ by promoting insertion of K⁺ channels into the cell membrane. Channel insertion is itself triggered by raising both pH _i and increasing the activity of the Na⁺/K⁺ pump in early distal cells of frog kidney. Present address: Department of Physiology, The University of Leeds, Leeds, LS2 9NQ, England     

Novel differential elimination method for determining kinetic coefficients under substrate self-inhibition

A differential elimination method (DEM) is developed to determine the kinetic coefficients for substrate self-inhibition. Finite differentiation of the equation eliminates either K_I or K_S, which enables the equation to be linearized so that [^(\textq)] {\hat{\text{q}}} , K_S, and K_I can be estimated without using nonlinear least square regression (NLSR). The DEM options that eliminate K_I or K_S computed the parameter values exactly when the data did not contain any errors. If one-point or random errors were not too large, both DEM options worked as well as NLSR when data were acquired with geometric intervals for substrate concentration. The DEM was more accurate for fitting the data for the smallest and largest values of S, but relatively weaker in estimating the observed maximum substrate utilization rate, q_max. The estimates for S_max, the concentration at which the maximum specific substrate utilization rate is observed, were relatively invariant among the methods, even when K_S and K_I differed. When the intervals were arithmetic (i.e., equal intervals of substrate concentration) and the data contained errors, the DEM and NLSR estimated the parameters poorly, indicating that collecting data with an arithmetic interval greatly increases the risk of poor parameter estimation. Parameter estimates by DEM fit very well experimental data from nitrification or photosynthesis, which were taken with geometric intervals of substrate concentration or light intensity, but fit poorly phenol-degradation data, which were obtained with arithmetic substrate intervals. Besides providing a reasonable substitute for NLSR, the DEM also can be used as a tool to diagnose the quality of experimental data by comparing its estimates between the DEM options, or, more rigorously, to those from NLSR.     

Mechanism of Na+/proline symport inEscherichia coli: Reappraisal of the effect of cation binding to the Na+/proline symport carrier

Summary Recently we proposed that cytoplasmic acidification of low K⁺ (LK) sheep erythrocytes may stimulate ouabain-resistant Cl^–-dependent K⁺ flux (K⁺Cl^– cotransport), also known to be activated by cell swelling, treatment with N-ethylmaleimide (NEM), or removal of cellular bivalent cations. Here we studied the dependence of K⁺ transport on intracellular and extracellular pH (pH _i , pH _o ) varied either simultaneously or independently using the Cl^–/HCO ₃ ^– exchange inhibitor 4,4, diisothiocyanatostilbene-3,2-disulfonic acid (DIDS). In both control and NEM-treated LK cells volumes were kept near normal by varying extracellular sucrose. Using DIDS as an effective pH clamp, both K⁺ efflux and influx of Rb⁺ used as K⁺ congener were strongly activated at acid pH _i and alkaline pH _o . A small stimulation of K⁺ (Rb⁺) flux was also seen at acid pH _i in the absence of DIDS, i.e., when pH _i pH _o . Anti-L _l serum, known to inhibit K⁺Cl^– cotransport, prevented the pH _i -stimulated K⁺ (Rb⁺) fluxes. Subsequent to NEM treatment at pH 6, K⁺ (Rb⁺) fluxes were activated only by raising pH, and thus were similar to the pH activation profile of K⁺ (Rb⁺) fluxes in DIDS-treated cells with pH _o varied at constant physiologic pH _i . Anti-L _l , which inhibited NEM-stimulated K⁺ (Rb⁺) fluxes, failed to do so in NEM-plus DIDS-treated cells. Thus, NEM treatment interferes with the internal but not with the external pH-sensitive site.     

A Membrane-delimited Effect of Internal pH on the K+ Outward Rectifier of Vicia Faba Guard Cells

ABA stimulation of outward K⁺ current (I _K,out) in Vicia faba guard cells has been correlated with a rise in cytosolic pH (pH _i ). However, the underlying mechanism by which I _K,out is affected by pH _i has remained unknown. Here, we demonstrate that pH _i regulates outward K⁺ current in isolated membrane patches from Vicia faba guard cells. The stimulatory effect of alkalinizing pH _i was voltage insensitive and independent of the two free calcium levels tested, 50 nm and 1 μm. The single-channel conductance was only slightly affected by pH _i . Based on single-channel measurements, the kinetics of time-activated whole-cell current, and the analysis of current noise in whole-cell recordings, we conclude that alkaline pH _i enhances the magnitude of I _K,out by increasing the number of channels available for activation. The fact that the pH _i effect is seen in excised patches indicates that signal transduction pathways involved in the regulation of I _K,out by pH _i , and by implication, components of hormonal signal transduction pathways that are downstream of pH _i , are membrane-delimited. Received: 5 June 1996/Revised: 1 August 1996     

K+ channels of stomatal guard cells: Abscisic-acid-evoked control of the outward rectifier mediated by cytoplasmic pH

The activation by abscisic acid (ABA) of current through outward-rectifying K⁺ channels and its dependence on cytoplasmic pH (pH_i) was examined in stomatal guard cells of Vicia faba L. Intact guard cells were impaled with multibarrelled and H⁺-selective microelectrodes to record membrane potentials and pH_i during exposures to ABA and the weak acid butyrate. Potassium channel currents were monitored under voltage clamp and, in some experiments, guard cells were loaded with pH buffers by iontophoresis to suppress changes in pH_i. Following impalements, stable pH_i values ranged between 7.53 and 7.81 (7.67±0.04, n = 17). On adding 20 M ABA, pH_i rose over periods of 5–8 min to values 0.27±0.03 pH units above the pH_i before ABA addition, and declined slowly thereafter. Concurrent voltage-clamp measurements showed a parallel rise in the outward-rectifying K⁺ channel current (I_{K, out}) and, once evoked, both pH_i and I_{K, out} responses were unaffected by ABA washout. Acid loads, imposed with external butyrate, abolished the ABA-evoked rise in I_{K, out}. Butyrate concentrations of 10 and 30 mM (pH₀ 6.1) caused pH_i to fall to values near 7.0 and below, both before and after adding ABA, consistent with a cytoplasmic buffer capacity of 128±12 mM per pH unit (n = 10) near neutrality. Butyrate washout was characterised by an appreciable alkaline overshoot in pH_i and concomitant swell in the steady-state conductance of I_{K, out}. The rise in pH_i and i_{K, out} in ABA were also virtually eliminated when guard cells were first loaded with pH buffers to raise the cytoplasmic buffer capacity four- to sixfold; however, buffer loading was without appreciable effect on the ABA-evoked inactivation of a second, inward-rectifying class of K⁺ channels (I_{K, in}). The pH_i dependence of I_{K, out} was consistent with a cooperative binding of at least 2H⁺ (apparent pK_a = 8.3) to achieve a voltage-independent block of the channel. These results establish a causal link previously implicated between cytoplasmic alkalinisation and the activation of I_{K, out} in ABA and, thus, affirm a role for H⁺ in signalling and transport control in plants distinct from its function as a substrate in H⁺-coupled transport. Additional evidence implicates a coordinate control of I_{K, in} by cytoplasmic-free [Ca²⁺] and pH_i.Abbreviations ABA abscisic acid - [Ca²⁺]_i cytoplasmic free [Ca²⁺]_i - E_K K⁺ equilibrium potential - I_{K, out}, I_{K, in} outward-, inward-rectifying K⁺ channel (current) - I-V current-voltage (relation) - Mes 2-(N-morpholino)ethanesulfonic acid - pH_i cytoplasmic pH - Tes 2-{[2-hydroxy-1,1-bis(hydroxymethyl)ethyl]-amino}ethanesulfonic acid - V_m membrane potential We are grateful to G. Thiel (Pflanzenphysiologisches Institut, Universität Göttingen, Germany) for helpful discussions. This work was possible with equipment grants-in-aid from the Gatsby Charitable Foundation, the Royal Society and the University of London Central Research Fund. F.A. holds a Sainsbury Studentship.     

Modeling of calcium-induced solubility profiles of casein for biotechnology: Influence of primary structure and posttranslational modification

Summary Molecular biology holds the promise of new tools for the food industry which include proteins with tailor-made functionality. Without a fundamental knowledge of the molecular bases of these properties, implementation will be strictly empirical. For example, the phenomena of salt-induced precipitation of proteins (salting-out) and their resolubilization (salting-in) has heretofore been discussed only qualitatively. A quantitative method, using Wyman's theory of thermodynamic linkage, has been developed and tested on the calcium-induced solubility profiles of the major milk proteins, the caseins. Salting-out was described by a salt-binding constant,k ₁, andn, the number of moles of salt bound; salting-in was described by the corresponding termsk ₂ andm. The magnitude of these parameters indicated involvement of protein phosphate groups in binding and precipitation, but enzymatic dephosphorylation showed significant increases ink ₁ andk ₂ indicating involvement of carboxylate groups as well. Studies on two genetic variants of _s1-casein indicated the importance of a hydrophobically stabilized intramolecular ion pair in the functionality of the protein. These studies have led to a fuller understanding of the molecular basis for the solubility behavior of caseins and have laid the groundwork for future computer simulation of food protein functionality.     

Na+/H+ exchange in crayfish neurons: dependence on extracellular sodium and pH

Summary Intracellular pH (pH_i) regulation was studied in crayfish neurons with pH-, and Na⁺-sensitive microelectrodes. It was confirmed to involve both a HCO ₃ ^– -dependent and a HCO ₃ ^– -independent mechanism. The latter was identified as the amiloride-sensitive Na⁺/H⁺ exchange described in vertebrate cells. Its dependence on extracellular pH (pH_e) and Na⁺ concentration ([Na⁺]_e) was studied in CO₂-free external solutions at 20°C. The steady state pH_i and the rate constant (k) of the exponential pH_i recovery following an acid load were determined. At pH_e=7.5 and [Na⁺]_e=200 mM, the average steady state pH_i was 7.09±0.12 (as compared to 7.30±0.10 in the presence of 5 mM bicarbonate). The dependence of the rate constant of recovery on [Na⁺]_e could be described by Michaelis-Menten kinetics; at pH_e=7.5 the apparentK _m andK _max were 39 mM and 1.4 mmol·l^–1·min^–1, respectively. Decreasing pH_e reduced the rate of recovery, the variations ofk with pH_e conforming to a simple titration curve with an apparent pK of 7.05±0.21. These kinetic properties of the Na⁺/H⁺ exchange in crayfish neurons are similar to those described in vertebrate cells.Preliminary results were presented at the First International Congress of Comparative Physiology and Biochemistry (Liège, Belgium, 1984)     

Modulation of gating of a metabolically regulated,ATP-dependent K+ channel by intracellular pH in B cells of the pancreatic islet

Summary Membrane-permeant weak acids and bases, when applied to the bath, modulate the resting membrane potential and the glucose-induced electrical activity of pancreatic B cells, as well as their insulin secretion. These substances alter the activity of a metabolite-regulated. ATP-sensitive K⁺ channel which underlies the B-cell resting potential. We now present several lines of evidence indicating that the channel may be directly gated by pH _i . (1) The time course of K⁺(ATP) channel activity during exposure to and washout of NH₄Cl under a variety of experimental conditions, including alteration of the electrochemical gradient for NH₄Cl entry and inhibition of the Na _o ⁺ H _i ⁺ exchanger, resembles the time course of pH _i measured in other cell types that have been similarly treated. (2) Increasing pH _o over the range 6.25–7.9 increases K⁺(ATP) channel activity in cell-attached patches where the cell surface exposed to the bath has been permeabilized to H⁺ by the application of the K⁺/H⁺ exchanger nigericin. (3) Increasing pH _i over a similar range produces similar effects on K⁺(ATP) channels in inside-out excised patches exposed to small concentrations of ATP _i . The physiological role of pH _i in the metabolic gating of this channel remains to be explored.     

The ferrous iron oxidation kinetics of Thiobacillus ferrooxidans in continuous cultures

The oxidation and growth kinetics of ferrous iron with Thiobacillus ferrooxidans in continuous cultures was examined at several total iron concentrations. On-line off-gas analyses of O₂ and CO₂ were used to measure the oxygen and carbon dioxide consumption rates in the culture. Off-line respiration measurements in a biological oxygen monitor (BOM) were used to measure directly the maximum specific oxygen consumption rate, qO₂,max, of cells grown in continuous culture. It was shown that these reproducibly measured values of qO₂,max vary with the dilution rate. The biomass-specific oxygen consumption rate, qO₂, is dependent on the ratio of the ferric and ferrous iron concentrations in the culture. The oxidation kinetics was accurately described with a rate equation for competitive ferric iron inhibition, using the value of qO₂,max measured in the BOM. Accordingly, only the kinetic constant Ks/K _i needed to be fitted from the measurements. A new method was introduced to determine the steady-state kinetics of a cell suspension in a batch culture that only takes a few hours. The batch culture was set up by terminating the feeding of a continuous culture at its steady state. The kinetic constant K _s/K _i determined in this batch culture agreed with the value determined in continuous cultures at various steady states. Received: 8 February 1999 / Accepted: 17 February 1999     

A numerical experiment on the determination of kinetic rate constants in the presence of diffusion

Two chemicals,A andB, are allowed to diffuse together and a reaction described by $$A + B\mathop \rightleftharpoons \limits_{K_{ - 1} }^{K_1 } C$$ is allowed to proceed. This system is described mathematically by a system of partial differential equations. A numerical procedure is presented to find the rate constants ofK ₁ andK _?1. A systematic analysis of the effects of errors is also presented.