Generalizations of the Roginsky-Zeldovich (or Elovich) equation for charge transport across biological surfaces

The Roginsky-Zeldovich (or Elovich) equation, which is −dx/dt=m exp (nx) (x=substrate concentration,t=time,m andn=constants), describes the kinetics of various biological electron and ion transport processes, and has been derived from the concept of charge transport across an activation energy barrier at an interface between dissimilar phases, driven by a difference in redox or ion potentials, with the simplifying assumptions that charge carrier concentration is constant, backward current across the interface is zero, and diffusion of substrate is fast. If charge carrier concentration is proportional to substrate concentration, then the kinetic equation is −dx/dt=mx exp (nx). If backward current is not zero, then −dx/dt=m ₁ exp (n ₁x) −m ₂ exp (n ₂ x), wherem ₁,m ₂,n ₁ andn ₂ are constants. Kinetic equations for interfacial charge transport in the presence of a significant substrate diffusion potential are also derived.     

Compartmental nitrate concentrations in barley root cells measured with nitrate-selective microelectrodes and by single-cell sap sampling

Nitrate-selective microelectrodes were used to measure intracellular nitrate concentrations (as activities) in epidermal and cortical cells of roots of 5-d-old barley (Hordeum vulgare L.) seedlings grown in nutrient solution containing 10 mol · m^–3 nitrate. Measurements in each cell type grouped into two populations with mean (±SE) values of 5.4 ± 0.5 mol · m^–3 (n=19) and 41.8 ± 2.6 mol · m^–3 (n = 35) in epidermal cells, and 3.2 ± 1.2 mol · m^–3 (n = 4) and 72.8 ± 8.4 mol · m^–3 (n = 13) in cortical cells. These could represent the cytoplasmic and vacuolar nitrate concentrations, respectively, in each cell type. To test this hypothesis, a single-cell sampling procedure was used to withdraw a vacuolar sap sample from individual epidermal and cortical cells. Measurement of the nitrate concentration in these samples by a fluorometric nitrate-reductase assay confirmed a mean vacuolar nitrate concentration of 52.6 ± 5.3 mol · m^–3 (n = 10) in epidermal cells and 101.2 ± 4.8 mol · m^–3 (n = 44) in cortical cells. The nitrate-reductase assay gave only a single population of measurements in each cell type, supporting the hypothesis that the higher of the two populations of electrode measurements in each cell type are vacuolar in origin. Differences in the absolute values obtained by these methods are probably related to the fact that the nitrate electrodes were calibrated against nitrate activity but the enzymic assay against concentration. Furthermore, a 28-h time course for the accumulation of nitrate measured with electrodes in epidermal cells showed the apparent cytoplasmic measurements remained constant at 5.0 ± 0.7 mol · m^–3, while the vacuole accumulated nitrate to 30–50 mol · m^–3. The implications of the data for mechanisms of nitrate transport at the plasma membrane and tonoplast are discussed.Symbol _n ² Chi-squared with n degrees of freedom R.-G.Z. was awarded a Sino-British Friendship Scholarship sponsored by the British Council and H.-W.K. was supported by an AFRC Linked Research Grant to A.D.T for collaboration with R.A.L. We wish to thank Dr. K. Goulding for advice on ion chromatography, Dr. K. Moore for assistance with statistical analysis and Dr. J.H. Williams for advice on the microsample analysis.     

Some effects of trinitrocresolate and valinomycin on Na and K transport across thin lipid bilayer membranes: A steady-state analysis with simultaneous tracer and electrical measurements

Summary This paper describes the effect of trinitrocresolate anions (TNC^–) on the electrical conductance (G _m ), and tracer-measured unidirectional Na and K fluxes (M _Na andM _K) across bilayers formed from sheep red cell lipids dissolved in decane. In the absence of TNC^–, typical low conductances were observed, while the cation fluxes were too low to measure by our techniques (<10^–12 moles cm^–2 sec^–1). In the presence of TNC^– (10^–2 m),G _m increased and TNC^– was the main charge carrier in the system. The cationic fluxes were also much increased, but the membranes showed no significant selectivity between K and Na. Furthermore, the Na and K fluxes were at least two orders of magnitude larger than the ionic fluxes calculated fromG _m . Thus, almost all of the K and Na transport across the membrane in the presence of TNC^– is electrically silent and is probably carried out as KTNC and NaTNC ion pairs.In the presence of valinomycin (10^–6 m) and no TNC^–, both the ion fluxes andG _m were 10³ times larger in KCl than in NaCl, thus exhibiting the characteristic high selectivity of valinomycin for K over Na. In the presence of both valinomycin (10^–6 m) and TNC^– (10^–2 m), this selectivity disappeared in that bothG _m andM _Na in the NaCl system were similar to the respective values in the KCl system. Even under these conditions, most of the Na is still transported by a process which does not carry charge.BothG _m andM _x increased alike and monotonically with increasing temperature over the range 7 to 30°C. In the absence of TNC^– the enthalpies of activation were invariably higher in KCl than in NaCl. Addition of TNC^– produced equal enthalpies of activation for both Na and K containing systems suggesting a common, temperature-dependent, ratedetermining step in charge transfer and the electrically silent cation fluxes.     

l-Arginine Effects on Na+ Transport in M-1 Mouse Cortical Collecting Duct Cells—A Cationic Amino Acid Absorbing Epithelium

The effect of l-arginine on transepithelial ion transport was examined in cultured M-1 mouse renal cortical collecting duct (CCD) cells using continuous short circuit current (I _SC ) measurements in HCO₃ ⁻/CO₂ buffered solution. Steady state I _SC averaged 73.8 ± 3.2 μA/cm² (n= 126) and was reduced by 94 ± 0.6% (n= 16) by the apical addition of 100 μm amiloride. This confirms that the predominant electrogenic ion transport in M-1 cells is Na⁺ absorption via the epithelial sodium channel (ENaC). Experiments using the cationic amino acid l-lysine (radiolabeled) as a stable arginine analogue show that the combined activity of an apical system y⁺ and a basal amino acid transport system y⁺L are responsible for most cationic amino acid transport across M-1 cells. Together they generate net absorptive cationic amino acid flux. Application of l-arginine (10 mm) either apically or basolaterally induced a transient peak increase in I _SC averaging 36.6 ± 5.4 μA/cm² (n= 19) and 32.0 ± 7.2 μA/cm² (n= 8), respectively. The response was preserved in the absence of bath Cl⁻ (n= 4), but was abolished either in the absence of apical Na⁺ (n= 4) or by apical addition of 100 μm amiloride (n= 6). l-lysine, which cannot serve as a precursor of NO, caused a response similar to that of l-arginine (n= 4); neither L-NMMA (100 μm; n= 3) nor L-NAME (1 mm; n= 4) (both NO-synthase inhibitors) affected the I _SC response to l-arginine. The effects of arginine or lysine were replicated by alkalinization that mimicked the transient alkalinization of the bath solution upon addition of these amino acids. We conclude that in M-1 cells l-arginine stimulates Na⁺ absorption via a pH-dependent, but NO-independent mechanism. The observed net cationic amino acid absorption will counteract passive cationic amino acid leak into the CCD in the presence of electrogenic Na⁺ transport, consistent with reports of stimulated expression of Na⁺ and cationic amino acid transporters by aldosterone. Received: 11 September 2000/Revised: 6 December 2000     

Contributions of binding and catalytic rate constants to evolutionary modifications inKm of NADH for muscle-type (M4) lactate dehydrogenases

Summary The apparent Michaelis constant (K _m) of NADH for muscle-type (M₄ isozyme) lactate dehydrogenases (LDHs) is highest, at any given temperature of measurement, for LDHs of cold-adapted vertebrates (Table 1). However, these interspecific differences in theK _m of NADH are not due to variations in LDH-NADH binding affinity. Rather, theK _m differences result entirely from interspecific variation in the substrate turnover constant (k _cat) (Fig. 1; Table 2). This follows from the fact that theK _m of NADH is equal tok _cat divided by the on constant for NADH binding to LDH,k ₁, so that interspecific differences ink _cat, combined with identical values fork ₁ among different LDH reactions, make the magnitude of theK _m of NADH a function of substrate turnover number. The temperature dependence of theK _m of NADH for a single LDH homologue is the net result of temperature dependence of bothk _cat andk ₁ (Figs. 3 and 4). Temperature independentK _m values can result from simultaneous, and algebraically offsetting, increases ink _cat andk ₁ with rising temperature. Salt-induced changes in theK _m of NADH also may be due to simultaneous perturbation of bothk _cat andk ₁ (Table 3). These findings are discussed from the standpoint of the evolution of LDH kinetic properties, particularly the interspecific conservation of catalytic and regulatory functions, in differently-adapted species.     

Role of lipids in theNeurospora crassa membrane

Summary The effect of doubling the saturated fatty acid content on the electrophysiology ofNeurospora crassa membranes was studied. Intracellular membrane input resistance (R _m ) and potential (E _m ) were measured for wild-type (w/t) andcel ^– (Tween 40) organisms as a function of temperature. Over the 0 to 40°C temperature range studied, meanE _m values of bothw/t andcel ^– (Tw 40) organisms increased from –160 to –210 mV. This difference is greater than that expected from Nernst potential considerations, indicating an active component ofE _m . This active component is insensitive to a doubling of the saturated fatty acid content.R _m exhibits a temperature dependence and hysteresis. Averaged data indicate an increase inR _m with decreased temperature. The slope of the temperature dependence varies among individual hyphae. Above 17.5°Ccel ^– (Tw 40) hyphae averaged greater than 70% higher values ofR _m thanw/t. Below 17.5°Cw/t R _m data divided into low and high temperature dependence groups, whilecel ^– data exhibited a low temperature dependence. The results are discussed in relation to gel-liquid crystal phase transitions, membrane fluidity, and the contribution of fatty acid structure to membrane electrical properties.     

Measurement of axonal membrane conductances and capacity by means of a varying potential control voltage clamp

Summary A new mode of voltage clamping in the squid giant axon is introduced and its advantages are analyzed, tested, and utilized to investigate membrane conductances and capacity. This method replaces the constant command potentials of the standard voltage clamp with potentials which vary with time. Some of the advantages in using the varying potential clamp are: (1) slowly varying potentials generate practically pureI _K ; (2) rapidly varying potentials generate practically pureI _Na; (3) triangular waves generate, under proper conditions, pure capacity currents and easy-to-analyze leakage currents; (4) the method gives direct, on-line display of sodium or potassium I–V characteristics within milliseconds; (5) it enables rapid and accurateE _Na andE _K determinations; and (6) it enables simple and accurate determination ofC _m. The method was utilized to study the effects of various ions on membrane conductances and the effects of ionic composition, ionic strength, and temperature on membrane capacity. Membrane capacity was found to be practically independent of frequency in the 200 to 2,000 Hz range. Replacement of external sodium by Ca⁺⁺, by impermeable Tris⁺, or even by dextrose or sucrose (low ionic-strength solutions) had negligible effects onC _m.C _m showed a small, positive temperature coefficient of 1.39% per °C in the 3 to 21°C range, and little change with temperature in the 20 to 40°C range. Above 40°C, bothC _m andg _L increased considerably with temperature.     

Regulation of local sweating in sleep-deprived exercising humans

Thermoregulatory sweating [total body (m _sw,b), chest (m _sw,c) and thigh (m _sw,t) sweating], body temperatures [oesophageal (T _oes) and mean skin temperature (T _sk)] and heart rate were investigated in five sleep-deprived subjects (kept awake for 27 h) while exercising on a cycle (45 min at approximately 50% maximal oxygen consumption) in moderate heat (T _air andT _wall at 35° C. Them _sw,c andm _sw,t were measured under local thermal clamp (T _sk,1), set at 35.5° C. After sleep deprivation, neither the levels of body temperatures (T _oes,T _sk) nor the levels ofm _{sw, b},m _{sw, c} orm _{sw, t} differed from control at rest or during exercise steady state. During the transient phase of exercise (whenT _sk andT _sk,1 were unvarying), them _{sw, c} andm _{sw, t} changes were positively correlated with those ofT _oes. The slopes of them _{sw, c} versusT _oes, orm _{sw, t} versusT _oes relationships remained unchanged between control and sleep-loss experiments. Thus the slopes of the local sweating versusT _oes, relationships (m _{sw, c} andm _{sw, t} sweating data pooled which reached 1.05 (SEM 0.14) mg·cm^–2·min^–1°C^–1 and 1.14 (SEM 0.18) mg·cm^–2·min^–1·°C^–1 before and after sleep deprivation) respectively did not differ. However, in our experiment, sleep deprivation significantly increased theT _oes threshold for the onset of bothm _{sw, c} andm _{sw, t} (+0.3° C,P<0.001). From our investigations it would seem that the delayed core temperature for sweating onset in sleep-deprived humans, while exercising moderately in the heat, is likely to have been due to alterations occurring at the central level.     

Ion permeation in a K+ channel inChara australis: Direct evidence for diffusion limitation of ion flow in a maxi-K channel

Summary We report a study of a potassium-selective channel in the membrane delineating cytoplasmic drops fromChara australis. The relatively large conductance (170 pS in 150 mol/m³ (mm) KCl), high ion selectivity (P _Cl/P _K=0.015±0.01) and voltagedependent kinetics of this channel indicate that it is a type of maxi-K channel commonly found in animal cells but not previously detected in any plant cell.The current-voltage (I/V) characteristic of these channels was examined in drop-attached and in excised outside-out patches using the patch-clamp technique, over the unusually large voltage range of –250 to 200 mV. TheI/V characteristic is nonlinear and shows saturation at extreme voltages; the current also saturates at high [K⁺]. In solutions with symmetrical KCl concentrations the saturation behavior of the current is asymmetrical. The permeability of the channel depends on whether it is observed in excised or in drop-attached membrane patches.Here we investigate the main factors affecting the permeation of K⁺ ions through this maxi-K channel. We present the first direct evidence for the importance of diffusion external to the pore in limiting ion flow through maxi-K channels. The data are consistent with an ion translocation mechanism whose current is limited (i) at high voltages by ion diffusion external to the pore and (ii) at high [K⁺] by the maximum transport rate of the channel. We fit the data to a diffusion-limited pore model in which the pore exhibits saturation described by Michaelis-Menten kinetics with aK _m=50±25 mol/m³ andG _max=300±20 pS.     

Note on a combinatorial problem

In the first part of this paper we have assembled some properties of the quantitiesR _m ⁿ , whereR _m ⁿ denotes the number of distributions ofn different objects intom indifferent parcels, with no empty parcels allowed. We then discuss the following problem (N. Rashevsky, 1954, 1955 a,b, 1956): to find the total number,G _n , of graphs that can be obtained from the biotopological transformation (T ⁽¹⁾ X) for a given value of the parametern. This is related to the distribution ofn indifferent objects intom different boxes. A formula forG _n is given which, however, is not very convenient for practical computations because it involves a summation over certain “admissible partitions” of the numbermn (m is a second parameter of the transformation). Some theorems are derived; with their help we can simplify the calculation ofG _n to a small extent. The numbersG _n are calculated forn≤9 and estimated forn=10. It is found thatG ₇≈5.4×10⁴,G ₈≈8.3×10⁵,G ₉≈1.4×10⁷, andG ₁₀≈3×10⁸. These values ofn are those which might be used in connection with N. Rashevsky’s work (cf. Rashevsky, 1956).     

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.     

Effect of adherence,cell morphology,and lipopolysaccharide on potassium conductance and passive membrane properties of murine macrophage J774.1 cells

Summary The effects of adherence, cell morphology, and lipopolysaccharide on electrical membrane properties and on the expression of the inwardly rectifying K conductance in J774.1 cells were investigated. Whole-cell inwardly rectifying K currents (K _i), membrane capacitance (C _m), and membrane potential (V _m) were measured using the patch-clamp technique. SpecificK _i conductance (G _K i, whole-cell Ki conductance corrected for leak and normalized to membrane capacitance) was measured as a function of time after adherence, and was found to increase almost twofold one day after plating. Membrane potential (V _m) also increased from –42±4 mV (n=32) to –58±2 mV (n=47) over the same time period.G _K i andV _m were correlated with each other;G _L (leak conductance normalized to membrane capacitance) andV _m were not. The magnitudes ofG _K i andV _m 15 min to 2 hr after adherence were unaffected by the presence of 100 m cycloheximide, but the increase inG _K iandV _m that normally occurred between 2 and 8 hr after adherence was abolished by cycloheximide treatment. Membrane properties were analyzed as a function of cell morphology, by dividing cells into three categories ranging from small round cells to large, extremely spread cells. The capacitance of spread cells increased more than twofold within one day after adherence, which indicates that spread cells inserted new membrane. Spread cells had more negative resting membrane potentials than round cells, butG _K i andG _L were not significantly different. Lipopolysaccharide-(LPS; 1 or 10 g/ml) treated cells showed increasedC _m compared to control cells plated for comparable times. In contrast to the effect of adherence, LPS-treated cells exhibited a significantly lowerG _K i than control cells, indicating that the additional membrane did not have as high a density of functionalG _K i channels. We conclude that both adherence and LPS treatment increase the total surface membrane area of J774 cells and change the density of Ki channels. In addition, this study demonstrates that membrane area and density of Ki channels can vary independently of one another.     

Kinetic and regulatory properties of pyruvate kinase isozymes from flight muscle and fat body of the cockroach,Periplaneta americana

Summary Pyruvate kinases from flight muscle and fat body of the cockroach,Periplaneta americana, were purified to homogeneity. The two tissues contained different forms of the enzyme which were separable by starch gel electrophoresis and isoelectric focusing (pI=5.75 for flight muscle and 6.15 for fat body). Both enzymes had molecular weights of 235,000±20,000.Flight muscle pyruvate kinase displayed Michaelis-Menten kinetics with respect to both ADP and P-enolpyruvate withK _m values of 0.27 and 0.04 mM, respectively.K _m for Mg²⁺ was 0.60 mM andK _a for K⁺ was 15 mM. The enzyme was weakly inhibitied by four compounds, ATP, arginine-P,l-alanine and citrate with apparentK _i values of 3.5, 15, 20 and 24 mM, respectively. Competitive inhibition by 3 mM ATP or 10 mM arginine-P raised theK _m for P-enolpyruvate to 0.067 or 0.057 mM. Fructose-1,6-P₂ did not activate the enzyme but reversed inhibitions by ATP and arginine-P.Fat body pyruvate kinase showed sigmoidal kinetics with respect to P-enolpyruvate with S_0.5=0.32 mM andn _H=1.43.K _m values for ADP and Mg²⁺ were 0.30 and 0.80 mM, respectively with aK _a for K⁺ of 10 mM. ATP andl-alanine were inhibitors of the enzyme; 2 mM ATP raised S_0.5 for P-enolpyruvate to 0.48 mM while 3 mMl-alanine increased S_0.5 to 0.84 mM. Neither citrate nor arginine-P inhibited the enzyme but citrate affected the enzyme by reversingl-alanine inhibition. Fat body pyruvate kinase was strongly activated by fructose-1,6-P₂ with an apparentK _a of 1.5 M. Fructose-1,6-P₂ at 0.1 mM reduced S_0.5 for P-enolpyruvate to 0.05 mM andn _H to 1.0.Flight muscle and fat body pyruvate kinases from the cockroach show properties analogous to those of the muscle and liver forms of mammalian pyruvate kinase. Fat body pyruvate kinase is suited for on-off function in a tissue with a gluconeogenic capacity. Strong allosteric control with a feed-forward activation by fructose-1,6-P₂ is key to coordinating enzyme function with glycolytic rate. The function of flight muscle pyruvate kinase in energy production during flight is aided by a lowK _m for P-enolpyruvate, weak inhibitor effects by high energy phosphates and deinhibition of these effects by fructose-1,6-P₂.     

Conformational induction in copolypeptides of the form AnBm

The polymerization kinetics and optical rotatory properties of A_nB_m polypeptides have been studied, where A = D ,L -Tyr, D ,L -TyrZ, D ,L -LysZ, L -AspOBzl, or L -Asp-ONBzl, and B = D ,L -GluOR (R = Me or Bzl). In most cases where A_n and B_m prefer the same helix sense, the polymerization of A N-carboxyanhydride (initiated by B_m in dioxane) shows first order kinetics and produces a monotonic change in optical rotation, while if opposite helix senses are preferred, the kinetics are multiphasic and the change in rotation reverses direction after the addition of several residues. The rotation change in the latter case is interpreted to mean that the helix in the A block is initially induced to take the nonpreferred sense, as originally suggested by Doty and Lundberg from similar observations on (D -GluOBzl)_n-(L -GluOBzl)_m. It is found here that the CD spectra for the latter polymer show the sign changes required by this hypothesis. The optical rotation curves and CD spectra for (D ,L -Tyr)_n-(L -GluOBzl)₂₀ suggest, by analogy, that (L -Tyr)_n prefers the same helix sense as (L -GluOBzl)_n. However, it is found that the opposite conclusion is equally consistent with the data if one considers the effects of possible changes in side-chain conformation on these data in accordance with the calculated CD spectra of Chen and Woody. The optical rotation curves for (D -GluOBzl)_n-(L -GluOBzl)₂₀, (D -Tyr)_n-(L-GluOBzl)₂₀, and (L -Tyr)_n-(L -GluOBzl)₂₀ are all found to be consistent with a two-state equilibrium model in which the A block initially takes on an induced conformation and has an increasing tendency to revert to its preferred conformation as n increases. It is concluded that in both D -Tyr and L-Tyr the side-chain and/or the backbone conformation is induced by the neighboring L -GluOBzl block, and the data do not distinguish which type of change is occurring. These results are discussed in connection with other observations bearing on the helix sense of (L -Tyr)_n.     

Pressure- and parathyroid-hormone-dependent Ca2+ transport in rabbit connecting tubule: Role of the stretch-activated nonselective cation channel

To characterize the Ca²⁺ transport process across the apical membrane of the rabbit connecting tubule (CNT), we examined the effects of luminal pressure on parathyroid hormone (PTH)-dependent apical Ca²⁺ transport in this segment perfused in vitro. An increase of perfusion pressure (0.2 to 1.2 KPa) caused cytoplasmic free Ca²⁺ concentration ([Ca²⁺].) to increase by 42 ± 11 nm in Fura-2 loaded perfused CNT. The response was accentuated when 10 nm PTH was added to the bath (101 ± 30 nm, n = 6). Addition of 0.1 mm chlorphenylthio-cAMP (CPT-cAMP) to the bath also augmented the [Ca²⁺]; response to pressure from 36 ± 16 to 84 ± 26 nm (n = 3). Under steady perfusion pressure at 1.2 KPa, PTH (10 nm) increased [Ca²⁺]; by 31 ± 7 nm (n = 5), whereas it did only slightly by 6 ± 2 nm (n = 12) at 0.2 KPa. The pressure-dependent increase of [Ca²⁺]; was abolished by removing luminal Ca²⁺ (n = 3), and was not affected by 0.1 and 10 m nicardipine (n = 4) in the presence of 10 nm PTH. Cell-attached patch clamp studies on the apical membrane of everted CNT with pipettes filled with either 200 mm CaCl₂ or 140 mm NaCl revealed channel activities with conductances of 42 ± 2 pS (n = 4) or 173 ± 7 pS (n = 5), respectively. An application of negative pressure (–4.9 KPa) to the patch pipette augmented its mean number of open channels (NP ₀ ) from 0.005 ± 0.001 to 0.022 ± 0.005 in the Ca²⁺-filled pipette, and was further accelerated to 0.085 ± 0.014 (n = 3) by 0.1 mm CPT-cAMP. In the Na⁺-filled pipette, similar results were obtained (n = 3), and CPT-cAMP did not activate the stretch-activated channel in the absence of negative pressure (n = 3). These results suggest that a stretch-activated nonselective cation channel exists in the apical membrane of the CNT and that it is activated by PTH in the presence of hydrostatic pressure, allowing entry of Ca²⁺ transport from the apical membrane.We appreciate Ms. Hisayo Hosaka and Ms. Yuki Oyama for their technical assistance and Ms. Keiko Sakai for her secretarial work. This research was supported by grants from the Ministry of Education and Culture of Japan (No. 05670054) and from Yamanouchi Foundation for Research on Metabolic Disorders (1992–1993).     

Growth rates of North Sea macroalgae in relation to temperature,irradiance and photoperiod

Three eulittoral algae(Ulva lactuca, Porphyra umbilicalis, Chondrus crispus) and one sublittoral alga(Laminaria saccharina) from Helgoland (North Sea) were cultivated in a flow-through system at different temperatures, irradiances and daylengths. In regard to temperature there was a broad optimum at 10–15° C, except inP. umbilicalis, which grew fastest at 10 °C. A growth peak at this temperature was also found in four of 17 other North Sea macroalgae, for which the growth/temperature response was studied, whereas 13 of these species exhibited a growth optimum at 15 °C, or a broad optimum at 10–15 °C. Growth was light-saturated inU. lactuca, L. saccharina andC. crispus at photon flux densities above 70 µE m^–2s^–1, but inP. umbilicalis above 30 µE m^–2s^–1. Growth rate did not decrease notably in the eulittoral species after one week in relatively strong light (250 µE m^–2s^–1), but by about 50 % in the case of the sublittoralL. saccharina, as compared with growth under weak light conditions (30 µE m^–2s^–1). In contrast, chlorophyll content decreased in the sublittoral as well as in the eulittoral species, and the greatest change in pigment content occurred in the range 30–70 µE m^–2s^–1. Growth rate increased continuously up to photoperiods of 24 h light per day inL. saccharina andC. crispus, whereas daylength saturation occurred at photoperiods of more than 16 h light per day inU. lactuca andP. umbilicalis.     

Thermal transitions in mixtures of polydeoxyribodinucleotides

Oligo d(C-A) and oligo d(T-G) of known average lengths, prepared by a combination of chemical and enzymatic procedures, have been mixed in 0.02 M and 0.07 M Na⁺, and absorbance has been studied as a function of increasing temperature. The transitions have been analyzed for the temperature of maximum slope T_m, the breadth of the transition, the value of the slope at T_m, and the maximum hyperchromicity. Linear expressions have been found relating the inverse of the length in nucleotide units (n^?1) of the shorter oligomer, irrespective of its identity, to T_m and also to the transition breadth. From a difference in slope between the T_m versus n^?1 expressions for the two molarities, the entropy and enthalpy of melting have been calculated as a function of n^?1.     

Enzymes of the normothermic and hibernating bat,Myotis lucifugus: Metabolites as modulators of pyruvate kinase

Summary The previous paper (Borgmann, A., and Moon, 1976) suggested that temperature differentially affected the binding of the substrates phosphoenol pyruvate (PEP) and ADP to bat tissue pyruvate kinases (PK) under hibernating and normothermic conditions. Since the regulatory properties of most mammalian type-L PKs are temperature dependent, a study of these properties for the bat enzymes was initiated.M. pectoralis PK ofM. lucifugus is modulator insensitive, although ATP does increase theK _m(PEP) slightly (Table 1). This effect is most pronounced at low temperatures for HM-PK (Fig. 1) and may be of some regulatory significance.Modulators affect bat liver PK in a manner analogous to other mammalian type-L enzymes, and marked quantitative differences exist between the NL-and HL-enzymes. TheK _m(PEP) is increased only slightly by alanine and ATP (Table 3), althoughV _max decreases markedly for NL-PK; fructose-1,6-diphosphate (FDP) decreases theK _m(PEP) and overrides the inhibitory action of ATP and alanine (Table 3). As temperature decreases, the proportional change inK _m(PEP) with or without effectors is unchanged (Table 3).HL-PK is markedly affected by these modulators. The extent of this interaction, as indicated byn _H-values (Table 3) andK _i orK _a values (Table 2; Figs. 1, 2, 3), between the effectors and the binding of PEP to HL-PK is relatively greater than for the NL-enzyme. However, the temperature sensitivity of these interactions is reduced (Table 3).Therefore, the strategies associated with enzymes of hibernating and normothermic bats are similar to those previously reported by Hochachka and Somero (1973) for certain enzymes of poikilotherms, and argues for the existence of distinct enzyme forms in the two physiological states.Abbreviations ala alanine - FDP fructose-1,6-diphosphate,HL, HM, hibernator liver, and muscle, respectively - LDH lactate dehydrogenase - NL, NM normothermic liver, and muscle, respectively - PEP phosphoenol pyruvate - PK pyruvate kinase     

Note on an inequality for the coefficients in legendre polynomial expansions and its application to the theory of liquid phase transitions

It is shown that if themth derivative of a function is positive, and it has a Legendre polynomial expansion with coefficients,A _n, then (A _m)/(2m+1)≧(A _n)/(2n+1) forn>m. This result is applied to the theory of liquid phase transitions.