Dissociation of cellular K+ accumulation from net Na+ transport by toad urinary bladder

Summary A number of published data suggest a variable stoichiometry between the rates of cellular potassium uptake and net sodium transport (J _Na) across the urinary bladder of the toad. This problem was examined by simultaneously studying the intracellular chemical activity of potassium (a _K) with open-tip K⁺-selective microelectrodes and micropipets, and monitoringJ _Na by measuring the short-circuit current (SCC). When bathed in the short-circuited state with solutions containing ana _K of 2.7mm, the mean ±sem values for intracellulara _K were 43±0.6mm.Ouabain, at a concentration of 10^–2 m, reduced intracellulara _K by 56–67% and SCC by 96–100%. At 5×10^–4 m, ouabain reversibly reduced intracellulara _K by 40–55%, and SCC by 63–68%; the inhibition of SCC was only partly reversible during the period of observation.Removal of external potassium reduced intracellulara _K by 69–80% and SCC by 51–76%. Restoration of external potassium entirely returned intracellulara _K to its control value, but only partially reversed the inhibition of SCC during the period of study. Furthermore, recovery ofa _K began 19–43 min before that of SCC; recovery ofa _K was 90–97% complete before any increase in SCC could be measured. Although other interpretations are possible, the simplest interpretation of the data is that the processes responsible for potassium accumulation and transepithelial sodium transport are not identical. We propose the existence of a separate transfer mechanism at the basolateral cell membrane, responsible for accumulating intracellular potassium, and not directly coupled to active sodium transport.     

Conditioning prepulses and kinetics of potassium conductance in the frog node

Summary The kinetics of potassium conductance were analyzed in response to voltage-clamp steps with holding potential (–75 mV) as initial condition and after a positive prepulse to-wards +45 mV of 10-msec duration. As the potassium reversal potentialE _K altered during potassium current flow, a method to obtain the conductance independent ofE _K was used. Conductance kinetics at 15°C were analyzed according to the Hodgkin-Huxley (HH) model. The time constant of potassium activation, with holding potential as initial condition, is a monotonous decreasing function of membrane potential. Its value ofca. 9 msec at –50 mV decreases to 1 msec at +30 mV. Changes inE _K did not affect the voltage dependency of this time constant. The time constant of potassium deactivation, i.e. the off-response following a 10-msec prepulse towards +45 mV, shows a completely different voltage dependency. At a membrane potential of –90 mV it is approximately 2 msec and gradually increases for more positive voltages towards a maximum value of about 6 msec, that is reached between –5 and 0 mV. At still larger values of membrane voltage this time constant starts to fall again. It is concluded that a HH-model, as applied for a single population of potassium channels, has to be rejected. Computer simulations indicate that an extension to two populations of independent potassium channels, each with HH-kinetics, is also inconsistent with the observed results.     

Influence of Precision of Emission Characteristic Parameters on Model Prediction Error of VOCs/Formaldehyde from Dry Building Material

Mass transfer models are useful in predicting the emissions of volatile organic compounds (VOCs) and formaldehyde from building materials in indoor environments. They are also useful for human exposure evaluation and in sustainable building design. The measurement errors in the emission characteristic parameters in these mass transfer models, i.e., the initial emittable concentration (C ₀), the diffusion coefficient (D), and the partition coefficient (K), can result in errors in predicting indoor VOC and formaldehyde concentrations. These errors have not yet been quantitatively well analyzed in the literature. This paper addresses this by using modelling to assess these errors for some typical building conditions. The error in C ₀, as measured in environmental chambers and applied to a reference living room in Beijing, has the largest influence on the model prediction error in indoor VOC and formaldehyde concentration, while the error in K has the least effect. A correlation between the errors in D, K, and C ₀ and the error in the indoor VOC and formaldehyde concentration prediction is then derived for engineering applications. In addition, the influence of temperature on the model prediction of emissions is investigated. It shows the impact of temperature fluctuations on the prediction errors in indoor VOC and formaldehyde concentrations to be less than 7% at 23±0.5°C and less than 30% at 23±2°C.     

Correlations between Potassium Uptake and Hydrogen Efflux in Barley Varieties : A POTENTIAL SCREENING METHOD FOR THE ISOLATION OF NUTRIENT EFFICIENT LINES

Rates of hydrogen ion secretion and potassium (⁸⁶Rb) absorption by intact roots of twenty-four barley varieties were measured in solutions containing K₂SO₄ (1 × 10⁻⁴ to 1 × 10⁻³ molar) plus 5 × 10⁻⁴ molar CaSO₄, at initial pH values in the range 5.3 to 5.5. Fluxes of H⁺ and K⁺ were strongly correlated in short-term experiments (up to 15 minutes) as well as in long-term experiments (lasting 24 hours). The observed correlations provide the basis for a preliminary screening method, designed to segregate varieties with high rates of potassium uptake by the use of an acid-base indicator (methyl red).     

The Permeability of the Sodium Channel to Metal Cations in Myelinated Nerve

The relative permeability of sodium channels to eight metal cations is studied in myelinated nerve fibers. Ionic currents under voltage-clamp conditions are measured in Na-free solutions containing the test ion. Measured reversal potentials and the Goldman equation are used to calculate the permeability sequence: Na⁺ ≈ Li⁺ > Tl⁺ > K⁺. The ratio P_K/P_Na is 1/12. The permeabilities to Rb⁺, Cs⁺, Ca⁺⁺, and Mg⁺⁺ are too small to measure. The permeability ratios agree with observations on the squid giant axon and show that the reversal potential E_Na differs significantly from the Nernst potential for Na⁺ in normal axons. Opening and closing rates for sodium channels are relatively insensitive to the ionic composition of the bathing medium, implying that gating is a structural property of the channel rather than a result of the movement or accumulation of particular ions around the channel. A previously proposed pore model of the channel accommodates the permeant metal cations in a partly hydrated form. The observed sequence of permeabilities follows the order expected for binding to a high field strength anion in Eisenman's theory of ion exchange equilibria.     

Regulation of the Fast Vacuolar Channel by Cytosolic and Vacuolar Potassium

At resting cytosolic Ca²⁺, passive K⁺ conductance of a higher plant tonoplast is likely dominated by fast vacuolar (FV) channels. This patch-clamp study describes K⁺-sensing behavior of FV channels in Beta vulgaris taproot vacuoles. Variation of K⁺ between 10 and 400 mM had little effect on the FV channel conductance, but a pronounced one on the open probability. Shift of the voltage dependence by cytosolic K⁺ could be explained by screening of the negative surface charge with a density σ = 0.25 e⁻/nm². Vacuolar K⁺ had a specific effect on the FV channel gating at negative potentials without significant effect on closed-open transitions at positive ones. Due to K⁺ effects at either membrane side, the potential at which the FV channel has minimal activity was always situated at ~50 mV below the potassium equilibrium potential, E_K⁺. At tonoplast potentials below or equal to E_K⁺, the FV channel open probability was almost independent on the cytosolic K⁺ but varied in a proportion to the vacuolar K⁺. Therefore, the release of K⁺ from the vacuole via FV channels could be controlled by the vacuolar K⁺ in a feedback manner; the more K⁺ is lost the lower will be the transport rate.     

OptZyme: Computational Enzyme Redesign Using Transition State Analogues

OptZyme is a new computational procedure for designing improved enzymatic activity (i.e., k_cat or k_cat/K_M) with a novel substrate. The key concept is to use transition state analogue compounds, which are known for many reactions, as proxies for the typically unknown transition state structures. Mutations that minimize the interaction energy of the enzyme with its transition state analogue, rather than with its substrate, are identified that lower the transition state formation energy barrier. Using Escherichia coli β-glucuronidase as a benchmark system, we confirm that K_M correlates (R² = 0.960) with the computed interaction energy between the enzyme and the para-nitrophenyl- β, D-glucuronide substrate, k_cat/K_M correlates (R² = 0.864) with the interaction energy of the transition state analogue, 1,5-glucarolactone, and k_cat correlates (R² = 0.854) with a weighted combination of interaction energies with the substrate and transition state analogue. OptZyme is subsequently used to identify mutants with improved K_M, k_cat, and k_cat/K_M for a new substrate, para-nitrophenyl- β, D-galactoside. Differences between the three libraries reveal structural differences that underpin improving K_M, k_cat, or k_cat/K_M. Mutants predicted to enhance the activity for para-nitrophenyl- β, D-galactoside directly or indirectly create hydrogen bonds with the altered sugar ring conformation or its substituents, namely H162S, L361G, W549R, and N550S.     

Properties of an Inwardly Rectifying ATP-sensitive K+ Channel in the Basolateral Membrane of Renal Proximal Tubule

The potassium conductance of the basolateral membrane (BLM) of proximal tubule cells is a critical regulator of transport since it is the major determinant of the negative cell membrane potential and is necessary for pump-leak coupling to the Na⁺,K⁺-ATPase pump. Despite this pivotal physiological role, the properties of this conductance have been incompletely characterized, in part due to difficulty gaining access to the BLM. We have investigated the properties of this BLM K⁺ conductance in dissociated, polarized Ambystoma proximal tubule cells. Nearly all seals made on Ambystoma cells contained inward rectifier K⁺ channels (γ_{slope, in} = 24.5 ± 0.6 pS, γ_{chord, out} = 3.7 ± 0.4 pS). The rectification is mediated in part by internal Mg²⁺. The open probability of the channel increases modestly with hyperpolarization. The inward conducting properties are described by a saturating binding–unbinding model. The channel conducts Tl⁺ and K⁺, but there is no significant conductance for Na⁺, Rb⁺, Cs⁺, Li⁺, NH₄⁺, or Cl⁻. The channel is inhibited by barium and the sulfonylurea agent glibenclamide, but not by tetraethylammonium. Channel rundown typically occurs in the absence of ATP, but cytosolic addition of 0.2 mM ATP (or any hydrolyzable nucleoside triphosphate) sustains channel activity indefinitely. Phosphorylation processes alone fail to sustain channel activity. Higher doses of ATP (or other nucleoside triphosphates) reversibly inhibit the channel. The K⁺ channel opener diazoxide opens the channel in the presence of 0.2 mM ATP, but does not alleviate the inhibition of millimolar doses of ATP. We conclude that this K⁺ channel is the major ATP-sensitive basolateral K⁺ conductance in the proximal tubule.     

The Effects of Several Alcohols on the Properties of the Squid Giant Axon

The effects of several alcohols on the resting potential, action potential, and voltage-clamp currents of the squid giant axon have been measured. All the alcohols employed are similar in that they depress maximum sodium conductance much more than maximum potassium conductance. Octyl alcohol differs from the others (C₂ through C₅) in that it has less tendency to depolarize the axon. Depolarization is always accompanied by a decrease of g_K near the resting potential, such that the ratio g_K/g_leak is decreased. Steady-state inactivation of the sodium ion current is unaffected by alcohols, as is membrane capacity. Resting membrane conductance is usually decreased by alcohols. The findings are discussed in relation to work on monomolecular films.     

Muscarinic Depolarization of Layer II Neurons of the Parasubiculum

The parasubiculum (PaS) is a component of the hippocampal formation that sends its major output to layer II of the entorhinal cortex. The PaS receives strong cholinergic innervation from the basal forebrain that is likely to modulate neuronal excitability and contribute to theta-frequency network activity. The present study used whole cell current- and voltage-clamp recordings to determine the effects of cholinergic receptor activation on layer II PaS neurons. Bath application of carbachol (CCh; 10–50 µM) resulted in a dose-dependent depolarization of morphologically-identified layer II stellate and pyramidal cells that was not prevented by blockade of excitatory and inhibitory synaptic inputs. Bath application of the M₁ receptor antagonist pirenzepine (1 µM), but not the M₂-preferring antagonist methoctramine (1 µM), blocked the depolarization, suggesting that it is dependent on M₁ receptors. Voltage-clamp experiments using ramped voltage commands showed that CCh resulted in the gradual development of an inward current that was partially blocked by concurrent application of the selective Kv7.2/3 channel antagonist XE-991, which inhibits the muscarine-dependent K⁺ current I _M. The remaining inward current also reversed near E_K and was inhibited by the K⁺ channel blocker Ba²⁺, suggesting that M₁ receptor activation attenuates both I _M as well as an additional K⁺ current. The additional K⁺ current showed rectification at depolarized voltages, similar to K⁺ conductances mediated by Kir 2.3 channels. The cholinergic depolarization of layer II PaS neurons therefore appears to occur through M₁-mediated effects on I _M as well as an additional K⁺ conductance.     

Potassium Channels in Motor Cells of Samanea saman: A Patch-Clamp Study

Leaflet movements in Samanea saman are driven by the shrinking and swelling of cells in opposing (extensor and flexor) regions of the motor organ (pulvinus). Changes in cell volume, in turn, depend upon large changes in motor cell content of K⁺, Cl⁻ and other ions. We performed patch-clamp experiments on extensor and flexor protoplasts, to determine whether their plasma membranes contain channels capable of carrying the large K⁺ currents that flow during leaflet movement. Recordings in the “whole-cell” mode reveal depolarization-activated K⁺ currents in extensor and flexor cells that increase slowly (t_½ = ca. 2 seconds) and remain active for minutes. Recordings from excised patches reveal a single channel conductance of ca. 20 picosiemens in both cell types. The magnitude of the K⁺ currents is adequate to account quantitatively for K⁺ loss, previously measured in vivo during cell shrinkage. The K⁺ channel blockers tetraethylammonium (5 millimolar) or quinine (1 millimolar) blocked channel opening and decreased light- and dark-promoted movements of excised leaflets. These results provide evidence for the role of potassium channels in leaflet movement.     

A structural model for K2P potassium channels based on 23 pairs of interacting sites and continuum electrostatics

K_2PØ, the two-pore domain potassium background channel that determines cardiac rhythm in Drosophila melanogaster, and its homologues that establish excitable membrane activity in mammals are of unknown structure. K_2P subunits have two pore domains flanked by transmembrane (TM) spans: TM1-P1-TM2-TM3-P2-TM4. To establish spatial relationships in K_2PØ, we identified pairs of sites that display electrostatic compensation. Channels silenced by the addition of a charge in pore loop 1 (P1) or P2 were restored to function by countercharges at specific second sites. A three-dimensional homology model was determined using the crystal structure of K_V1.2, effects of K_2PØ mutations to establish alignment, and compensatory charge–charge pairs. The model was refined and validated by continuum electrostatic free energy calculations and covalent linkage of introduced cysteines. K_2P channels use two subunits arranged so that the P1 and P2 loops contribute to one pore, identical P loops face each other diagonally across the pore, and the channel complex has bilateral symmetry with a fourfold symmetric selectivity filter.     

Formation of Crystalline δ-Endotoxin or Poly-β-Hydroxybutyric Acid Granules by Asporogenous Mutants of Bacillus thuringiensis

Parental strains and asporogenous mutants of Bacillus thuringiensis subspp. kurstaki and aizawai produced high yields of δ-endotoxin on M medium, which contained 330 μg of potassium per ml, but not on ST and ST-a media, each of which contained only 11 μg of potassium per ml. On ST and ST-a media, refractile granules were formed instead. These granules had no insecticidal activity against silkworms and were isolated and identified as poly-β-hydroxybutyric acid. Supplementation of the potassium-deficient ST-a medium with 0.1% KH₂PO₄ (3.7 mM) led to the formation of crystalline δ-endotoxin. The replacement of KH₂PO₄ with equimolar amounts of KCl, KNO₃, and potassium acetate or an equivalent amount of K₂SO₄ had a similar effect, whereas the addition of an equimolar amount of NaH₂PO₄ or NH₄H₂PO₄ did not cause the endotoxin to form. An asporogenous mutant, B. thuringiensis subsp. kurstaki strain 290-1, produced δ-endotoxin on ST-a medium supplemented with 3 mM or more potassium but formed only poly-β-hydroxybutyric acid granules on the media containing ≤1 mM potassium. These results clearly indicate that a certain concentration of potassium is essential for the fermentative production of δ-endotoxin by these isolates of B. thuringiensis. Manganese could not be substituted for potassium. Phosphate ions stimulated poly-β-hydroxybutyric acid formation by strain 290-1. The sporulation of B. thuringiensis and several other Bacillus strains was suppressed on the potassium-deficient ST medium. This suggests that potassium plays an essential role not only in Bacillus cell growth and δ-endotoxin formation but also in sporulation.     

Interaction of External K, Na, and Cardioactive Steroids with the Na-K Pump of the Human Red Blood Cell

The interaction of extracellular Na (Na_o), K (K_o), and strophanthidin with the Na-K pump of the human red blood cell has been investigated. Inhibition by submaximal concentrations of strophanthidin rapidly reaches a level which does not increase further over a relatively long period of time. Under these circumstances, it is possible to apply a steady-state kinetic analysis to the interaction of Na_o, K_o, and strophanthidin with the pump. In Na-free solutions, strophanthidin increases the apparent K_1/2 of the pump for K_o, but does not change the form of the relation between the reciprocal of the active K influx (ⁱM_K^P–1) and the reciprocal of [K_o] ([K_o]^–1); the relation both in the presence and absence of strophanthidin is adequately described by a straight line. In solutions containing Na, strophanthidin changes the form of the curve describing the relation between ⁱM_K^P–1 vs. [K_o]^–1; the curve becomes more parabolic in solutions containing strophanthidin. The rate of ouabain binding to K-free cells has also been measured; in the absence of K, the rate of binding is unaffected by Na_o. The data are considered in terms of a simple kinetic model. The findings can be explained if it is supposed that at low external K the form of the pump combined with one Na_o is more likely to combine with strophanthidin than is the uncombined form of the pump. The uncombined form of the pump is more likely to combine with K even at very low K_o than with strophanthidin.     

Role of Carboxydobacteria in Consumption of Atmospheric Carbon Monoxide by Soil

The carbon monoxide consumption rates of the carboxydobacteria Pseudomonas (Seliberia) carboxydohydrogena, P. carboxydovorans, and P. carboxydoflava were measured at high (50%) and low (0.5 μl liter⁻¹) mixing ratios of CO in air. CO was only consumed when the bacteria had been grown under CO-autotrophic conditions. As an exception, P. carboxydoflava consumed CO also after heterotrophic growth on pyruvate. At low cell densities the CO consumption rates measured at low CO mixing ratios were similar in cell suspensions and in mixtures of bacteria in soil. CO consumption observed in natural soil (loess, eolian sand, chernozem) as well as in suspensions or soil mixtures of carboxydobacteria showed Michaelis-Menten kinetics. The K_m values for CO of the carboxydobacteria (K_m = 465 to 1,110 μl of CO liter⁻¹) were much higher than those of the natural soils (K_m = 5 to 8 μl of CO liter⁻¹). Considering the difference of the K_m values and the observed V_max values, carboxydobacteria cannot contribute significantly to the consumption of atmospheric CO.     

In Vivo Correlation of Glucose Metabolism,Cell Density and Microcirculatory Parameters in Patients with Head and Neck Cancer: Initial Results Using Simultaneous PET/MRI

Objective

To demonstrate the feasibility of simultaneous acquisition of ¹⁸F-FDG-PET, diffusion-weighted imaging (DWI) and T1-weighted dynamic contrast-enhanced MRI (T1w-DCE) in an integrated simultaneous PET/MRI in patients with head and neck squamous cell cancer (HNSCC) and to investigate possible correlations between these parameters.

Methods

17 patients that had given informed consent (15 male, 2 female) with biopsy-proven HNSCC underwent simultaneous ¹⁸F-FDG-PET/MRI including DWI and T1w-DCE. SUV_max, SUV_mean, ADC_mean, ADC_min and K ^trans, k _ep and v _e were measured for each tumour and correlated using Spearman’s ρ.

Results

Significant correlations were observed between SUV_mean and K ^trans (ρ = 0.43; p ≤ 0.05); SUV_mean and k _ep (ρ = 0.44; p ≤ 0.05); K ^trans and k _ep (ρ = 0.53; p ≤ 0.05); and between k _ep and v _e (ρ = -0.74; p ≤ 0.01). There was a trend towards statistical significance when correlating SUV_max and ADC_min (ρ = -0.35; p = 0.08); SUV_max and K ^trans (ρ = 0.37; p = 0.07); SUV_max and k _ep (ρ = 0.39; p = 0.06); and ADC_mean and v _e (ρ = 0.4; p = 0.06).

Conclusion

Simultaneous ¹⁸F-FDG-PET/MRI including DWI and T1w-DCE in patients with HNSCC is feasible and allows depiction of complex interactions between glucose metabolism, microcirculatory parameters and cellular density.     

Ion transport in isolated protoplasts from tobacco suspension cells: I. General characteristics

An investigation was conducted into the feasibility of using enzymically isolated protoplasts from suspension-cultured cells of Nicotiana glutinosa L. to study ion transport. Transport of K⁺ (⁸⁶Rb), ³⁶Cl⁻, H₂³²PO₄⁻ and ⁴⁵Ca²⁺ from 1 millimolar salt solutions was determined after separation of intact protoplasts from nonabsorbed tracers by centrifugation through a Ficoll step gradient. Influx of K⁺, Cl⁻, and H₂PO₄⁻ measured over a 30-minute period was reduced (up to 99%) by respiratory inhibitors such as 5 micrograms per milliliter oligomycin, 0.1 millimolar dinitrophenol, 0.1 millimolar cyanide, or N₂ gas. In contrast, Ca²⁺ influx was not tightly coupled to respiratory energy production. The influx of K⁺ was highest between pH 6.5 and 7.5 whereas the influx of H₂PO₄⁻ and Cl⁻ was greatest between pH 4.5 and 5.5. Influx of K⁺ and Cl⁻ was maximal at 35 and 45 C, respectively, and was almost completely inhibited below 10 C. Fusicoccin (0.01 millimolar) stimulated K⁺ influx by more than 200% but had no effect on the influx of either Cl⁻ or H₂PO₄⁻. Apparent H⁺ efflux, as measured by decrease in solution pH, was enhanced by K⁺, stimulated further by 0.01 millimolar fusicoccin, and inhibited by 0.1 millimolar dinitrophenol or 5 micrograms per milliliter oligomycin. The measured ionic fluxes into protoplasts were similar to those obtained with intact cultured cells. The results indicate that enzymic removal of the cell wall produced no significant alteration in the transport properties of the protoplast, and that it is feasible to use isolated protoplasts for studies on ion transport.     

Studies of Root Function in Zea mays: III. Xylem Sap Composition at Maximum Root Pressure Provides Evidence of Active Transport into the Xylem and a Measurement of the Reflection Coefficient of the Root

The cut ends of excised Zea mays roots were sealed to a pressure transducer and their root pressures recorded. These rose approximately hyperbolically to a maximum value of 4.21 ± 0.34 bar after 30 to 40 minutes. Xylem exudate could not be collected at this pressure since the flow rate was zero. Samples of exudate were collected at lower applied pressures (ΔP), however, and Δπ, the osmotic pressure difference between them and the solution bathing the root, was measured by freezing point depression. A plot of ΔP/Δπ against J_v/Δπ, where J_v is the volume flux, proved to be a straight line whose intercept, equal to σ, the reflection coefficient, was 0.853 ± 0.016. The maximum xylem concentrations of various chemical species were found by a similar extrapolative method and compared with those in the cell sap. This indicated that (a) Ca²⁺, Mg²⁺, NO₃²⁻, SO₄²⁻, and most amino acids move from the cells to the xylem down an electrochemical potential gradient; (b) relative to these ions H⁺, NH₄⁺, glutamine and asparagine are actively transported into the xylem; and (c) H₂PO₄⁻, and K⁺ are actively retained in the symplasm.     

THEORY AND MEASUREMENT OF VISUAL MECHANISMS : III. ΔI AS A FUNCTION OF AREA,INTENSITY, AND WAVE-LENGTH,FOR MONOCULAR AND BINOCULAR STIMULATION

Measurements of ΔI as a function of retinal area illuminated have been obtained at various levels of standard intensity I ₁, using "white" light and light of three modal wave-lengths (λ465, 525, 680), for monocular stimulation and for simultaneous excitation of the two eyes ("binocular"), using several methods of varying (rectangular) area and retinal location, with control of exposure time. For data homogeneous with respect to method of presentation, log ΔI_m = -Z log A + C, where ΔI = Ĩ ₂ – I ₁, A is area illuminated, and C is a terminal constant (= log ΔI_m for A = 1 unit) depending on the units in which ΔI and A are expressed, and upon I ₁. The equation is readily deduced on dimensional grounds, without reference to specific theories of the nature of ΔI or of retinal area in terms of its excitable units. Z is independent of the units of I and A. Experimentally it is found to be the same for monocular and binocular excitations, as is to be expected. Also as is expected it is not independent of λ, and it is markedly influenced by the scheme according to which A is varied; it depends directly upon the rate at which potentially excitable elements are added when A is made to increase. For simultaneous excitation of the two eyes (when of very nearly equivalent excitability), ΔĪ_B is less than for stimulation of either eye alone, at all levels of I ₁, A, λ. The mean ratio (ΔĪ_L + ΔĪ_R)/2 to ΔI^B was 1.38. For white light, doubling A on one retina reduces ΔI_m in the ratio 1.21, or a little less than for binocular presentation under the same conditions. These facts are consistent with the view that the properties of ΔI are quantitatively determined by events central to the retina. The measure σ_1ΔI of organic variation in discrimination of intensities and ΔI_m are found to be in simple proportion, independent of I ₁, A, λ (and exposure time). Variability (σ_1ΔI) is not a function of the mode of presentation, save that it may be slightly higher when both retinas are excited, and its magnitude (for a given level of ΔI_m) is independent of the law according to which the adjustable intensity I ₂ is instrumentally controlled.     

Kinetics of Denitrifying Growth by Fast-Growing Cowpea Rhizobia

Two fast-growing strains of cowpea rhizobia (A26 and A28) were found to grow anaerobically at the expense of NO₃⁻, NO₂⁻, and N₂O as terminal electron acceptors. The two major differences between aerobic and denitrifying growth were lower yield coefficients (Y) and higher saturation constants (K_s) with nitrogenous oxides as electron acceptors. When grown aerobically, A26 and A28 adhered to Monod kinetics, respectively, as follows: K_s, 3.4 and 3.8 μM; Y, 16.0 and 14.0 g · cells eq⁻¹; μ_max, 0.41 and 0.33 h⁻¹. Yield coefficients for denitrifying growth ranged from 40 to 70% of those for aerobic growth. Only A26 adhered to Monod kinetics with respect to growth on all three nitrogenous oxides. The apparent K_s values were 41, 270, and 460 μM for nitrous oxide, nitrate, and nitrite, respectively; the K_s for A28 grown on nitrate was 250 μM. The results are kinetically and thermodynamically consistent in explaining why O₂ is the preferred electron acceptor. Although no definitive conclusions could be drawn regarding preferential utilization of nitrogenous oxides, nitrite was inhibitory to both strains and effected slower growth. However, growth rates were identical (μ_max, 0.41 h⁻¹) when A26 was grown with either O₂ or NO₃⁻ as an electron acceptor and were only slightly reduced when A28 was grown with NO₃⁻ (0.25 h⁻¹) as opposed to O₂ (0.33 h⁻¹).