Expected Relationship Between the Silent Substitution Rate and the GC Content: Implications for the Evolution of Isochores

The relationship between the silent substitution rate (K _s) and the GC content along the genome is a focal point of the debate about the origin of the isochore structure in vertebrates. Recent estimation of the silent substitution rate showed a positive correlation between K _s and GC content, in contradiction with the predictions of both the regional mutation bias model and the selection or biased gene conversion model. The aim of this paper is to help resolve this contradiction between theoretical studies and data. We analyzed the relationship between K _s and GC content under (1) uniform mutation bias, (2) a regional mutation bias, and (3) mutation bias and selection. We report that an increase in K _s with GC content is expected under mutation bias because of either nonequilibrium of the isochore structure or an increasing mutation rate from AT toward GC nucleotides in GC-richer isochores. We show by simulations that CpG deamination tends to increase the mutation rate with GC content in a regional mutation bias model. We also demonstrate that the relationship between K _s and GC under the selectionist or biased gene conversion model is positive under weak selection if the mutation selection equilibrium GC frequency is less than 0.5. Received: 28 March 2001 / Accepted: 16 May 2001     

Coding sequence divergence between two closely related plant species: Arabidopsis thaliana and Brassica rapa ssp. pekinensis

To characterize the coding-sequence divergence of closely related genomes, we compared DNA sequence divergence between sequences from a Brassica rapa ssp. pekinensis EST library isolated from flower buds and genomic sequences from Arabidopsis thaliana. The specific objectives were (i) to determine the distribution of and relationship between K _a and K _s, (ii) to identify genes with the lowest and highest K _a:K _s values, and (iii) to evaluate how codon usage has diverged between two closely related species. We found that the distribution of K _a:K _s was unimodal, and that substitution rates were more variable at nonsynonymous than synonymous sites, and detected no evidence that K _a and K _s were positively correlated. Several genes had K _a:K _s values equal to or near zero, as expected for genes that have evolved under strong selective constraint. In contrast, there were no genes with K _a:K _s >1 and thus we found no strong evidence that any of the 218 sequences we analyzed have evolved in response to positive selection. We detected a stronger codon bias but a lower frequency of GC at synonymous sites in A. thaliana than B. rapa. Moreover, there has been a shift in the profile of most commonly used synonymous codons since these two species diverged from one another. This shift in codon usage may have been caused by stronger selection acting on codon usage or by a shift in the direction of mutational bias in the B. rapa phylogenetic lineage.     

Synonymous and Nonsynonymous Substitutions in Genes from Gramineae: Intragenic Correlations

In this work, we have investigated the relationships between synonymous and nonsynonymous rates and base composition in coding sequences from Gramineae to analyze the factors underlying the variation in substitutional rates. We have shown that in these genes the rates of nucleotide divergence, both synonymous and nonsynonymous, are, to some extent, dependent on each other and on the base composition. In the first place, the variation in nonsynonymous rate is related to the GC level at the second codon position (the higher the GC₂ level, the higher the amino acid replacement rate). The correlation is especially strong with T₂, the coefficients being significant in the three data sets analyzed. This correlation between nonsynonymous rate and base composition at the second codon position is also detectable at the intragenic level, which implies that the factors that tend to increase the intergenic variance in nonsynonymous rates also affect the intragenic variance. On the other hand, we have shown that the synonymous rate is strongly correlated with the GC₃ level. This correlation is observed both across genes and at the intragenic level. Similarly, the nonsynonymous rate is also affected at the intragenic level by GC₃ level, like the silent rate. In fact, synonymous and nonsynonymous rates exhibit a parallel behavior in relation to GC₃ level, indicating that the intragenic patterns of both silent and amino acid divergence rates are influenced in a similar way by the intragenic variation of GC₃. This result, taken together with the fact that the number of genes displaying intragenic correlation coefficients between synonymous and nonsynonymous rates is not very high, but higher than random expectation (in the three data sets analyzed), strongly suggests that the processes of silent and amino acid replacement divergence are, at least in part, driven by common evolutionary forces in genes from Gramineae. Received: 2 July 1998 / Accepted: 18 April 1999     

Alkaline pH and Internal Calcium Increase Na+ and K+ Effluxes in LK Sheep Red Blood Cells in Cl−-free Solutions

We examined the effects of pH, internal ionized Ca (Ca²⁺ _i ), cellular ATP, external divalent cations and quinine on Cl-independent ouabain-resistant K⁺ efflux in volume-clamped sheep red blood cells (SRBCs) of normal high (HK) and low (LK) intracellular K⁺ phenotypes. In LK SRBCs the K⁺ efflux was higher at pH 9.0 (350%) than at pHs 7.4 and 6.5, and was inhibited by external divalent cations, quinine, and cellular ATP depletion. The above findings suggest that the increased K⁺ efflux at alkaline pH is due to the opening of ion channels or specific transporters in the cell membrane. In addition, K⁺ efflux was activated (100%) when Ca²⁺ _i was increased (+A23187, +Ca²⁺ _o ) into the μm range. However, in comparison to human red blood cells, the Ca²⁺ _i -induced increase in K⁺ efflux in LK SRBCs was fourfold smaller and insensitive to quinine and charybdotoxin. The Na⁺ efflux was also higher at pH 9.0 than at pH 7.4, and activated (about 40%) by increasing Ca²⁺ _i . In contrast, in HK SRBCs the K⁺ efflux at pH 9.0 was neither inhibited by quinine nor activated by Ca²⁺ _i . These studies suggest the presence in LK SRBCs, of at least two pathways for Cl⁻-independent K⁺ and Na⁺ transport, of which one is unmasked by alkalinization, and the other by a rise in Ca²⁺ _i . Received: 23 May 1996/Revised: 6 December 1996     

Effects of Internal K+ and ABA on the Voltage- and Time-dependence of the Outward K+-rectifier in Vicia Guard Cells

One of the main effects of abscisic acid (ABA) is to induce net loss of potassium salts from guard cells enabling the stomata to close. K⁺ is released from the vacuole into the cytosol and then to the extracellular space. The effects of increasing cytosolic K⁺ on the voltage- and time-dependence of the outwardly rectifying K⁺-current (I _K,out) in guard cell protoplasts (GCP) was examined in the whole-cell configuration of the patch-clamp technique. The same quantitative analysis was performed in the presence of ABA at different internal K⁺ concentrations ([K⁺] _i ). Varying [K⁺] _i in the patch pipette from 100 to 270 mm increased the magnitude of I _K,out in a nonlinear manner and caused a negative shift in the midpoint (V _0.5) of its steady-state activation curve. External addition of ABA (10–20 μm) also increased the magnitude of I _K,out at all [K⁺] _i , but caused a shift in V _0.5 of the steady-state activation curve only in those GCP loaded with 150 mm internal K⁺ or less. Indeed, V _0.5 did not shift upon addition of ABA when the [K⁺] _i was above 150 mm and up to 270 mm, i.e., the shift in V _0.5 caused by ABA depended on the [K⁺] _i . Both increase in [K⁺] _i and external addition of ABA, decreased (by ≈ 20%) the activation time constant (τ _n ) of I _K,out. The small decrease in τ _n , in both cases, was found to be independent of the membrane voltage. The results indicate that ABA mimics the effect of increasing cytoplasmic K⁺, and suggest that ABA may increase I _K,out and alter V _0.5 of its steady-state activation curve via an enhancement in cytosolic K⁺. This report describes for the first time the effects of [K⁺] _i on the voltage- and time-dependence of I _K,out in guard cells. It also provides an explanation for the quantitative (total membrane current) and qualitative (current kinetics) differences found between intact guard cells and their protoplasts. Received: 1 December 1995/Revised: 8 May 1996     

Identification of a Region Critically Involved in the Interaction of Phlorizin with the Rabbit Sodium-D-Glucose Cotransporter SGLT1

In order to define potential interaction sites of SGLT1 with the transport inhibitor phlorizin, mutagenesis studies were performed in a hydrophobic region of loop 13 (aa 604–610), located extracellularly, close to the C-terminus. COS 7 cells were transiently transfected with the mutants and the kinetic parameters of α-methyl-d-glucopyranoside (AMG) uptake into the cells were investigated. Replacement of the respective amino acids with lysine reduced the maximal uptake rate: Y604K showed 2.2%, L606K 48.4%, F607K 15.1%, C608K 13.1%, G609K 14.1%, and L610K 17.2% of control. In all mutants the apparent K _i for phlorizin increased at least by a factor of 5 compared to the wild-type K _i of 4.6 ± 0.7 μmol/l; most striking changes were observed for Y604K (K _i = 75.3 ± 19.0 μmol/l) and C608K (K _i = 83.6 ± 13.9 μmol/l). Replacement of these amino acids with a nonpolar amino acid instead of lysine such as in Y604F, Y604G and C608A showed markedly higher affinities for phlorizin. In cells expressing the mutants the apparent affinity of AMG uptake for the sugar was not statistically different from that of the wild type (K _m = 0.8 ± 0.2 mmol/l). These studies suggest that the region between amino acids 604 and 610 is involved in the interaction between SGLT1 and phlorizin, probably by providing a hydrophobic pocket for one of the aromatic rings of the aglucone moiety of the glycoside. Received: 29 March 2001/Revised: 15 June 2001     

Three Types of Membrane Excitations in the Marine Diatom Coscinodiscus wailesii

Three types of electrical excitation have been investigated in the marine diatom Coscinodiscus wailesii. I: Depolarization-triggered, transient Cl⁻ conductance, G _Cl (t), followed by a transient, voltage-gated K⁺ conductance, G _K , with an active state a and two inactive states i ₁ and i ₂ in series (a-i ₁-i ₂). II: Similar G _Cl (t) as in Type-I but triggered by hyperpolarization; a subsequent increase of G _K in this type is indicated but not analyzed in detail. III: Hyperpolarization-induced transient of a voltage-gated activity of an electrogenic pump (i ₂-a-i ₂), followed by G _Cl (t) as in Type-II excitations. Type-III with pump gating is novel as such. G _Cl (t) in all types seems to reflect the mechanism of InsP⁻ ₃ and Ca²⁺-mediated G _Cl (t) in the action potential in Chara (Biskup et al., 1999). The nonlinear current-voltage-time relationships of Type-I and Type-III excitations have been recorded under voltage-clamp using single saw-tooth command voltages (voltage range: −200 to +50 mV, typical slope: ±1 Vs⁻¹). Fits of the corresponding models to the experimental data provided numerical values of the model parameters. The statistical significance of these solutions is investigated. We suggest that the original function of electrical excitability of biological membranes is related to osmoregulation which has persisted through evolution in plants, whereas the familiar and osmotically neutral action potentials in animals have evolved later towards the novel function of rapid transmission of information over long distances. Received: 2 December 1999/Revised: 3 March 2000     

Inhibition of K/HCO(3) cotransport in squid axons by quaternary ammonium ions

Previous squid-axon studies identified a novel K/HCO₃ cotransporter that is insensitive to disulfonic stilbene derivatives. This cotransporter presumably responds to intracellular alkali loads by moving K⁺ and HCO⁻ ₃ out of the cell, tending to lower intracellular pH (pH_i). With an inwardly directed K/HCO₃ gradient, the cotransporter mediates a net uptake of alkali (i.e., K⁺ and HCO⁻ ₃ influx). Here we test the hypothesis that intracellular quaternary ammonium ions (QA⁺) inhibit the inwardly directed cotransporter by interacting at the intracellular K⁺ site. We computed the equivalent HCO⁻ ₃ influx (J _HCO3) mediated by the cotransporter from the rate of pH_i increase, as measured with pH-sensitive microelectrodes. We dialyzed axons to pH_i 8.0, using a dialysis fluid (DF) free of K⁺, Na⁺ and Cl⁻. Our standard artificial seawater (ASW) also lacked Na⁺, K⁺ and Cl⁻. After halting dialysis, we introduced an ASW containing 437 mm K⁺ and 0.5% CO₂/12 mm HCO⁻ ₃, which (i) caused membrane potential to become transiently very positive, and (ii) caused a rapid pH_i decrease, due to CO₂ influx, followed by a slower plateau-phase pH_i increase, due to inward cotransport of K⁺ and HCO⁻ ₃. With no QA⁺ in the DF, J _HCO3 was ∼58 pmole cm⁻² sec⁻¹. With 400 mm tetraethylammonium (TEA⁺) in the DF, J _HCO3 was virtually zero. The apparent K _i for intracellular TEA⁺ was ∼78 mm, more than two orders of magnitude greater than that obtained by others for inhibition of K⁺ channels. Introducing 100 mm inhibitor into the DF reduced J _HCO3 to ∼20 pmole cm⁻² sec⁻¹ for tetramethylammonium (TMA⁺), ∼24 for TEA⁺, ∼10 for tetrapropylammonium (TPA⁺), and virtually zero for tetrabutylammonium (TBA⁺). The apparent K _i value for TBA⁺ is ∼0.86 mm. The most potent inhibitor was phenyl-propyltetraethylammonium (PPTEA⁺), with an apparent K _i of ∼91 μm. Thus, trans-side quaternary ammonium ions inhibit K/HCO₃ influx in the potency sequence PPTEA⁺ > TBA⁺ > TPA⁺ > TEA⁺≅ TMA⁺. The identification of inhibitors of the K/HCO₃ cotransporter, for which no inhibitors previously existed, will facilitate the study of this transporter. Received: 21 November 2000/Revised: 14 May 2001     

A Component of Platypus (Ornithorhynchus anatinus) Venom Forms Slow-Kinetic Cation Channels

The lipid bilayer technique is used to examine the biophysical properties of anion and cation channels frequently formed by platypus (Ornithorhynchus anatinus) venom (OaV). The OaV-formed anion channel in 250/50 mm KCl cis/trans has a maximum conductance of 857 ± 23 pS (n= 5) in 250/50 mm KCl cis/trans. The current-voltage relationship of this channel shows strong inward rectification. The channel activity undergoes time-dependent inactivation that can be removed by depolarizing voltage steps more positive than the reversal potential for chloride, E _Cl , (+40 mV). The reversal potential of the OaV-formed slow current activity in 250/50 mm KCl cis/trans is close to the potassium equilibrium potential (E _K ) of −40 mV. The conductance values for the slow channel are 22.5 ± 2.6 pS and 41.38 ± 4.2 pS in 250/50 and 750/50 mm cis/trans, respectively. The gating kinetics of the slow ion channels are voltage-dependent. The channel open probability (P _o ) is between 0.1 and 0.8 at potentials between 0 and +140 mV. The channel frequency (F _o ) increases with depolarizing voltages between 0 and +140 mV, whereas mean open time (T _o ) and mean closed time (T _c ) decrease. Ion substitution experiments of the cis solution show that the channel has conductance values of 21.47 ± 2.3 and 0.53 ± 0.1 pS in 250 mm KCl and choline Cl, respectively. The amplitude of the single channel current is dependent on [K⁺] _cis and the current reversal potential (E _rev ) responds to increases in [K⁺] _cis by shifting to more negative voltages. The increase in current amplitude as a function of increasing [K⁺] _cis can be best described by a third order polynomial fit. At +140 mV, the values of the maximal single channel conductance (γ _max ) and the concentration for half maximal γ (K _s ) are 38.6 pS and 380 mm and decline to 15.76 pS and 250 mm at 0 mV, respectively. The ion selectivity of the channel to K⁺, Na⁺, Cs⁺ and choline⁺ was determined in ion substitution experiments. The permeability values for P _K+ :P _Na+ :P _Cs+ :P _choline+ were 1:1:0.63:0.089, respectively. On the other hand, the activity of the slow channel was eliminated (Fig. 7B). The slow channel was reversibly inhibited by [TEA⁺] _trans and the half-maximal inhibitory concentration (K _i ) was ∼48 mm. Received: 26 April 1999/Revised: 19 July 1999     

Potentiation by Isoproterenol on Carbachol-induced K+ and Cl− Currents and Fluid Secretion in Rat Parotid

Isoproterenol (IPR) and 8-(4-chlorophenylthio)-cyclic AMP (cpt-cAMP) enhanced carbachol (CCh)-induced fluid secretion from rat parotid glands, but had no effect by themselves. The enhancement by IPR was blocked by propranolol. In dispersed parotid acinar cells, IPR and cpt-cAMP potentiated CCh-induced K⁺ and Cl⁻ currents (I _K and I _Cl). IPR at the concentration of 0.1 μm significantly potentiated the CCh-induced increase in intracellular Ca²⁺ concentration ([Ca²⁺] _i ), but 1 mm cpt-cAMP did not. The incidence of the potentiation by IPR in CCh-induced Mn²⁺ entry was 31% and that by cpt-cAMP was 21%. The potentiation by IPR in the ionic currents and the [Ca²⁺] _i was suppressed by propranolol. These results suggest that the CCh-induced fluid secretion from rat parotid glands is enhanced by IPR through the potentiation of I _K and I _Cl mainly by the increased cyclic AMP level and partially by the potentiated Ca²⁺ influx and [Ca²⁺] _i increase, and that IPR is more effective than cpt-cAMP in the enhancement of the CCh-induced [Ca²⁺] _i increase. Received: 6 October 1997/Revised: 16 April 1998     

Effect of Trace Levels of Nigericin on Intracellular pH and Acid-Base Transport in Rat Renal Mesangial Cells

Nigericin is an ionophore commonly used at the end of experiments to calibrate intracellularly trapped pH-sensitive dyes. In the present study, we explore the possibility that residual nigericin from dye calibration in one experiment might interfere with intracellular pH (pH _i ) changes in the next. Using the pH-sensitive fluorescent dye 2′,7′-bis(carboxyethyl)-5,6-carboxyfluorescein (BCECF), we measured pH _i in cultured rat renal mesangial cells. Nigericin contamination caused: (i) an increase in acid loading during the pH _i decrease elicited by removing extracellular Na⁺, (ii) an increase in acid extrusion during the pH _i increase caused by elevating extracellular [K⁺], and (iii) an acid shift in the pH _i dependence of the background intracellular acid loading unmasked by inhibiting Na-H exchange with ethylisopropylamiloride (EIPA). However, contamination had no effect on the pH _i dependence of Na-H exchange, computed by adding the pH _i dependencies of total acid extrusion and background acid loading. Nigericin contamination can be conveniently minimized by using a separate line to deliver nigericin to the cells, and by briefly washing the tubing with ethanol and water after each experiment. Received: 14 October 1998/Revised: 2 March 1999     

Lithium and Protein Kinase C Modulators Regulate Swelling-Activated K-Cl Cotransport and Reveal a Complete Phosphatidylinositol Cycle in Low K Sheep Erythrocytes

K-Cl cotransport (COT), a ouabain-insensitive, Cl-dependent bidirectional K flux, is ubiquitously present in all cells, plays a major role in ion and volume homeostasis, and is activated by cell swelling and a variety of chemical interventions. Lithium modulates several cation transport pathways and inhibits phospholipid turnover in red blood cells (RBCs). Lithium also inhibits K-Cl COT by an unknown mechanism. To test the hypothesis whereby Li inhibits swelling-activated K-Cl COT by altering either its osmotic response, its regulation, or by competing with K for binding sites, low K (LK) sheep (S) RBCs were loaded with Li by Na/Li exchange or the cation ionophore nystatin. K-Cl COT was measured as the Cl-dependent, ouabain-insensitive K efflux or Rb influx. The results show that Li altered the cell morphology, and increased both cell volume and diameter. Internal (Li _i ) but not external (Li _o ) Li inhibited swelling-activated K-Cl COT by 85% with an apparent K _i of ∼7 mm. In Cl, Li _i decreased K efflux at relative cell volumes between 0.9 and 1.2, and at external pHs between 7.2 and 7.4. Li _i reduced the V _max and increased the K _m for K efflux in Cl. Furthermore, Li _i increased the production of diacylglycerol in a bimodal fashion, without significant effects on the phosphatidylinositol concentration, and revealed the presence of a complete PI cycle in LK SRBCs. Finally, phorbol ester treatment and PD89059, an inhibitor of mitogen-activated protein kinase (ERK2) kinase, caused a time-dependent inhibition of K-Cl COT. Hence, Li _i appears to inhibit K-Cl COT by acting at an allosteric site on the transporter or its putative regulators, and by modulation of the cellular phospholipid metabolism and a PKC-dependent regulatory pathway, causes an altered response of K-Cl COT to pH and volume. Received: 1 November 1999/Revised: 6 June 2000     

Chloride Conductance and P i Transport are Separate Functions Induced by the Expression of NaPi-1 in Xenopus Oocytes

Expression of the protein NaPi-1 in Xenopus oocytes has previously been shown to induce an outwardly rectifying Cl⁻ conductance (G_Cl), organic anion transport and Na⁺-dependent P _i -uptake. In the present study we investigated the relation between the NaPi-1 induced G_Cl and P _i -induced currents and transport. NaPi-1 expression induced P _i -transport, which was not different at 1–20 ng/oocyte NaPi-1 cRNA injection and was already maximal at 1–2 days after cRNA injection. In contrast, G_Cl was augmented at increased amounts of cRNA injection (1–20 ng/oocyte) and over a five day expression period. Subsequently all experiments were performed on oocytes injected with 20 ng/oocytes cRNA. P _i -induced currents (Ip) could be observed in NaPi-1 expressing oocytes at high concentrations of P _i (≥ 1 mm P _i ). The amplitudes of Ip correlated well with G_Cl. Ip was blocked by the Cl⁻ channel blocker NPPB, partially Na⁺-dependent and completely abolished in Cl⁻ free solution. In contrast, P _i -transport in NaPi-1 expressing oocytes was not NPPB sensitive, stronger depending on extracellular Na⁺ and weakly affected by Cl⁻ substitution. Endogenous P _i -uptake in water-injected oocytes amounted in all experiments to 30–50% of the Na⁺-dependent P _i -transport observed in NaPi-1 expressing oocytes. The properties of the endogenous P _i -uptake system (K _m for P _i > 1 mm; partial Na⁺- and Cl⁻-dependence; lack of NPPB block) were similar to the NaPi-1 induced P _i -uptake, but no Ip could be recorded at P _i -concentrations ≤3 mm. In summary, the present data suggest that Ip does not reflect charge transfer related to P _i -uptake, but a P _i -mediated modulation of G_Cl. Received: 22 October 1997/Revised: 24 March 1998     

Effects of Hyperthermia on Intracellular Chloride

Hyperthermia induces transient changes in [Na⁺] _i and [K⁺] _i in mammalian cells. Since Cl⁻ flux is coupled with Na⁺ and K⁺ in several processes, including cell volume control, we have measured the effects of heat on [Cl⁻] _i using the chloride indicator, MQAE, with flow cytometry. The mean basal level of [Cl⁻] _i in Chinese hamster ovary cells was 12 mm. Cells heated at 42.0° or 45.0°C for 30 min had about a 2.5-fold increase in [Cl⁻] _i above unheated control values when measured immediately after heating. There was about a 3-fold decrease in [Na⁺] _i under the same conditions, as measured by Sodium Green. The magnitude of the increase in [Cl⁻] _i depended upon time and temperature. The [Cl⁻] _i recovered in a time-dependent fashion to control values by 30 min after heating. When cells were heated at 45.0°C for 30 min in the presence of 1.5 mm furosemide, the heat-induced [Cl⁻] _i increase was completely blocked. Since furosemide inhibits the Na⁺/K⁺/2Cl⁻ cotransporter, Cl⁻ channels, and even Cl⁻HCO₃ exchange, these ion transporters may be involved in the heat-induced increase in [Cl⁻] _i . Received: 15 June 1995/Revised: 9 April 1996     

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     

Compositional Correlations in the Chicken Genome

This paper analyses the compositional correlations that hold in the chicken genome. Significant linear correlations were found among the regions studied—coding sequences (and their first, second, and third codon positions), flanking regions (5′ and 3′), and introns—as is the case in the human genome. We found that these compositional correlations are not limited to global GC levels but even extend to individual bases. Furthermore, an analysis of 1037 coding sequences has confirmed a correlation among GC₃, GC₂, and GC₁. The implications of these results are discussed. Received: 9 December 1998 / Accepted: 18 April 1999     

Kinetic Analysis of the Inhibitory Effect of Glibenclamide on KATP Channels of Mammalian Skeletal Muscle

We investigated the block of K_ATP channels by glibenclamide in inside-out membrane patches of rat flexor digitorum brevis muscle. (1) We found that glibenclamide inhibited K_ATP channels with an apparent K _i of 63 nm and a Hill coefficient of 0.85. The inhibition of K_ATP channels by glibenclamide was unaffected by internal Mg²⁺. (2) Glibenclamide altered all kinetic parameters measured; mean open time and burst length were reduced, whereas mean closed time was increased. (3) By making the assumption that binding of glibenclamide to the sulphonylurea receptor (SUR) leads to channel closure, we have used the relation between mean open time, glibenclamide concentration and K _D to estimate binding and unbinding rate constants. We found an apparent rate constant for glibenclamide binding of 9.9 × 10⁷ m ⁻¹ sec⁻¹ and an unbinding rate of 6.26 sec⁻¹. (4) Glibenclamide is a lipophilic molecule and is likely to act on sulfonylurea receptors from within the hydrophobic phase of the cell membrane. The glibenclamide concentration within this phase will be greater than that in the aqueous solution and we have taken this into account to estimate a true binding rate constant of 1.66 × 10⁶ m ⁻¹ sec⁻¹. Received: 7 July 1996/Revised: 4 October 1996     

Kinetics of K-Cl Cotransport in Frog Erythrocyte Membrane: Effect of External Sodium

In frog red blood cells, K-Cl cotransport (i.e., the difference between ouabain-resistant K fluxes in Cl and NO₃) has been shown to mediate a large fraction of the total K⁺ transport. In the present study, Cl⁻-dependent and Cl⁻-independent K⁺ fluxes via frog erythrocyte membranes were investigated as a function of external and internal K⁺ ([K⁺] _e and [K⁺] _i ) concentration. The dependence of ouabain-resistant Cl⁻-dependent K⁺ (⁸⁶Rb) influx on [K⁺] _e over the range 0–20 mm fitted the Michaelis-Menten equation, with an apparent affinity (K _m ) of 8.2 ± 1.3 mm and maximal velocity (V _max ) of 10.4 ± 1.6 mmol/l cells/hr under isotonic conditions. Hypotonic stimulation of the Cl⁻-dependent K⁺ influx increased both K _m (12.8 ± 1.7 mm, P < 0.05) and V _max (20.2 ± 2.9 mmol/l/hr, P < 0.001). Raising [K⁺] _e above 20 mm in isotonic media significantly reduced the Cl⁻-dependent K⁺ influx due to a reciprocal decrease of the external Na⁺ ([Na⁺] _e ) concentration below 50 mm. Replacing [Na⁺] _e by NMDG⁺ markedly decreased V _max (3.2 ± 0.7 mmol/l/hr, P < 0.001) and increased K _m (15.7 ± 2.1 mm, P < 0.03) of Cl⁻-dependent K⁺ influx. Moreover, NMDG⁺ Cl substitution for NaCl in isotonic and hypotonic media containing 10 mm RbCl significantly reduced both Rb⁺ uptake and K⁺ loss from red cells. Cell swelling did not affect the Na⁺-dependent changes in Rb⁺ uptake and K⁺ loss. In a nominally K⁺(Rb⁺)-free medium, net K⁺ loss was reduced after lowering [Na⁺] _e below 50 mm. These results indicate that over 50 mm [Na⁺] _e is required for complete activation of the K-Cl cotransporter. In nystatin-pretreated cells with various intracellular K⁺, Cl⁻-dependent K⁺ loss in K⁺-free media was a linear function of [K⁺] _i , with a rate constant of 0.11 ± 0.01 and 0.18 ± 0.008 hr⁻¹ (P < 0.001) in isotonic and hypotonic media, respectively. Thus K-Cl cotransport in frog erythrocytes exhibits a strong asymmetry with respect to transported K⁺ ions. The residual, ouabain-resistant K⁺ fluxes in NO₃ were only 5–10% of the total and were well fitted to linear regressions. The rate constants for the residual influxes were not different from those for K⁺ effluxes in isotonic (∼0.014 hr⁻¹) and hypotonic (∼0.022 hr⁻¹) media, but cell swelling resulted in a significant increase in the rate constants. Received: 19 November 1998/Revised: 23 August 1999     

Variable Substitution Rates of the 18 Domain Sequences in Artemia Hemoglobin

The Artemia hemoglobin is a dimer comprising two nine-domain covalent polymers in quaternary association. Each polymer is encoded by a gene representing nine successive globin domains which have different sequences and are presumed to have been copied originally from a single-domain gene. Two different polymers exist as the result of a complete duplication of the nine-domain gene, allowing the formation of either homodimers or the heterodimer. The total population size of 18 domains comprising nine corresponding pairs, coupled with the probability that they reflect several hundred million years of evolution in the same lineage, provides a unique model in which the process of gene multiplication can be analyzed. The outcome has important implications for the reliability of local molecular clocks. The two polymers differ from each other at 11.7% of amino acid sites; however when corresponding individual domains are compared between polymers, amino acid substitution fluctuates by a factor of 2.7-fold from lowest to highest. This variation is not obvious at the DNA level: Domain pair identity values fluctuate by 1.3-fold. Identity values are, however, uncorrected for multiple substitutions, and both silent and nonsilent changes are pooled. Therefore, to determine the variability in relative substitution rates at the DNA level, we have used the method of Li (1993, J Mol Evol 36:96–99) to determine estimates of nonsynonymous (K _A ) and synonymous (K _S ) substitutions per site for the nine pairs of domains. As expected, the overall level of silent substitutions (K _S of 56.9%) far exceeded nonsilent substitutions (K _A of 6.7%); however, for corresponding domain pairs, K _A fluctuates by 2.3-fold and K _S by 1.7-fold. The large discrepancies reflected in the expressed protein have accrued within a single lineage and the implication is that divergence dates of different genera based on amino acid sequences, even with well-studied proteins of reasonable size, can be wrong by a factor well in excess of 2. Received: 4 June 1997 / Accepted: 17 December 1997     

Variations of Intracellular pH in Human Erythrocytes via K+(Na+)/H+ Exchange Under Low Ionic Strength Conditions

The change of intracellular pH of erythrocytes under different experimental conditions was investigated using the pH-sensitive fluorescent dye BCECF and correlated with (ouabain + bumetanide + EGTA)-insensitive K⁺ efflux and Cl⁻ loss. When human erythrocytes were suspended in a physiological NaCl solution (pH _o = 7.4), the measured pH _i was 7.19 ± 0.04 and remained constant for 30 min. When erythrocytes were transferred into a low ionic strength (LIS) solution, an immediate alkalinization increased the pH _i to 7.70 ± 0.15, which was followed by a slower cell acidification. The alkalinization of cells in LIS media was ascribed to a band 3 mediated effect since a rapid loss of approximately 80% of intracellular Cl⁻ content was observed, which was sensitive to known anion transport inhibitors. In the case of cellular acidification, a comparison of the calculated H⁺ influx with the measured unidirectional K⁺ efflux at different extracellular ionic strengths showed a correlation with a nearly 1:1 stoichiometry. Both fluxes were enhanced by decreasing the ionic strength of the solution resulting in a H⁺ influx and a K⁺ efflux in LIS solution of 108.2 ± 20.4 mmol (l _cells hr)⁻¹ and 98.7 ± 19.3 mmol (l _cells hr)⁻¹, respectively. For bovine and porcine erythrocytes, in LIS media, H⁺ influx and K⁺ efflux were of comparable magnitude, but only about 10% of the fluxes observed in human erythrocytes under LIS conditions. Quinacrine, a known inhibitor of the mitochondrial K⁺(Na⁺)/H⁺ exchanger, inhibited the K⁺ efflux in LIS solution by about 80%. Our results provide evidence for the existence of a K⁺(Na⁺)/H⁺ exchanger in the human erythrocyte membrane. Received: 22 December 1999/Revised: 10 April 2000