On the kinetics of potential,electromotance, and chemical change in the excitable system of nerve

The kinetics of interaction between potential, chemical equilibrium, and electromotance in the excitable system of nerve are analyzed. The theoretical system has the following properties: It gives rise to two electromotances each of which depends directly on a chemical equilibrium. The equilibria are determined by the potential across the system. After a sudden potential shift the equilibria reach their new value with an exponential time course, the time constant of which is determined by the rate constants of the two reactions. The rate constants are different due to different activation energies. The two electromotances give rise to potentials of opposite sign. The total potential produced by the system is equal to the sum of the two potentials. The two equilibria are thus determined by any externally applied potential as well as by the sum of the internally produced potentials. The dependence of the equilibria on the potential is calculated from first principles. The equations which describe this system are solved by an analogue computer, which gives instantaneous solutions of the total internal potential as a function of time and any voltage applied from an external source. Comparison between recorded and computed action potentials shows excellent agreement under all experimental conditions. The electromotances might originate from a Ca⁺⁺—Na⁺—K⁺ exchange at fixed negative sites in the Schwann cell.     

Protein charge ladders reveal that the net charge of ALS-linked superoxide dismutase can be different in sign and magnitude from predicted values

This article utilized “protein charge ladders”—chemical derivatives of proteins with similar structure, but systematically altered net charge—to quantify how missense mutations that cause amyotrophic lateral sclerosis (ALS) affect the net negative charge (Z) of superoxide dismutase-1 (SOD1) as a function of subcellular pH and Zn²⁺ stoichiometry. Capillary electrophoresis revealed that the net charge of ALS-variant SOD1 can be different in sign and in magnitude—by up to 7.4 units per dimer at lysosomal pH—than values predicted from standard pK_a values of amino acids and formal oxidation states of metal ions. At pH 7.4, the G85R, D90A, and G93R substitutions diminished the net negative charge of dimeric SOD1 by up to +2.29 units more than predicted; E100K lowered net charge by less than predicted. The binding of a single Zn²⁺ to mutant SOD1 lowered its net charge by an additional +2.33 ± 0.01 to +3.18 ± 0.02 units, however, each protein regulated net charge when binding a second, third, or fourth Zn²⁺ (ΔZ < 0.44 ± 0.07 per additional Zn²⁺). Both metalated and apo-SOD1 regulated net charge across subcellular pH, without inverting from negative to positive at the theoretical pI. Differential scanning calorimetry, hydrogen-deuterium exchange, and inductively coupled plasma mass spectrometry confirmed that the structure, stability, and metal content of mutant proteins were not significantly affected by lysine acetylation. Measured values of net charge should be used when correlating the biophysical properties of a specific ALS-variant SOD1 protein with its observed aggregation propensity or clinical phenotype.     

Electrogenic and diffusive components of the membrane ofHydrodictyon africanum

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

Human abasic endonuclease action on multilesion abasic clusters: implications for radiation-induced biological damage

Clustered damages—two or more closely opposed abasic sites, oxidized bases or strand breaks—are induced in DNA by ionizing radiation and by some radiomimetic drugs. They are potentially mutagenic or lethal. High complexity, multilesion clusters (three or more lesions) are hypothesized as repair-resistant and responsible for the greater biological damage induced by high linear energy transfer radiation (e.g. charged particles) than by low linear energy transfer X- or γ-rays. We tested this hypothesis by assessing human abasic endonuclease Ape1 activity on two- and multiple-lesion abasic clusters. We constructed cluster-containing oligonucleotides using a central variable cassette with abasic site(s) at specific locations, and 5′ and 3′ terminal segments tagged with visually distinctive fluorophores. The results indicate that in two- or multiple-lesion clusters, the spatial arrangement of uni-sided positive [in which the opposing strand lesion(s) is 3′ to the base opposite the reference lesion)] or negative polarity [opposing strand lesion(s) 5′ to the base opposite the reference lesion] abasic clusters is key in determining Ape1 cleavage efficiency. However, no bipolar clusters (minimally three-lesions) were good Ape1 substrates. The data suggest an underlying molecular mechanism for the higher levels of biological damage associated with agents producing complex clusters: the induction of highly repair-resistant bipolar clusters.     

Evolution of Amino Acid Propensities under Stability-Mediated Epistasis

Site-specific amino acid preferences are influenced by the genetic background of the protein. The preferences for resident amino acids are expected to, on average, increase over time because of replacements at other sites—a nonadaptive phenomenon referred to as the “evolutionary Stokes shift.” Alternatively, decreases in resident amino acid propensity have recently been viewed as evidence of adaptations to external environmental changes. Using population genetics theory and thermodynamic stability constraints, we show that nonadaptive evolution can lead to both positive and negative shifts in propensities following the fixation of an amino acid, emphasizing that the detection of negative shifts is not conclusive evidence of adaptation. By examining propensity shifts from when an amino acid is first accepted at a site until it is subsequently replaced, we find that ≈50% of sites show a decrease in the propensity for the newly resident amino acid while the remaining sites show an increase. Furthermore, the distributions of the magnitudes of positive and negative shifts were comparable. Preferences were often conserved via a significant negative autocorrelation in propensity changes—increases in propensities often followed by decreases, and vice versa. Lastly, we explore the underlying mechanisms that lead propensities to fluctuate. We observe that stabilizing replacements increase the mutational tolerance at a site and in doing so decrease the propensity for the resident amino acid. In contrast, destabilizing substitutions result in more rugged fitness landscapes that tend to favor the resident amino acid. In summary, our results characterize propensity trajectories under nonadaptive stability-constrained evolution against which evidence of adaptations should be calibrated.     

Water Stress Enhances Ethylene-mediated Leaf Abscission in Cotton

Abscission of cotyledonary leaves from cotton (Gossypium hirsutum L. cv. Stoneville 213) seedlings occurred following relief from water stress. The amount of abscission was related to the magnitude of the plant water deficit. Leaf abscission promoted by exogenous ethylene was enhanced in seedlings subjected to water stress. Treatment with ethylene (2.0 to 3.2 microliters of ethylene per liter of air for 24 hours) raised the threshold plant water potential required to induce abscission from —17 to —7 bar, indicating that the stress caused the tissue to become predisposed to ethylene action. Based on the abscission response curve for seedlings treated with ethylene while under water stress, this apparent predisposition was developed as the plant water potentials reached the —7 to —10 bar range. The abscission-promoting effects of ethylene in combination with water stress were reversed with 15% CO₂ at plant water potentials above —12 bar, but the CO₂ reversal was lost at lower water potentials. These results are compatible with the concept that ethylene plays a regulatory role in leaf abscission induced by water stress.     

Studies on Sulfhydryl Groups during Cell Division of Sea Urchin Egg : V. Change in contractility of the thread model in relation to cell division

The contractility of the thread model prepared from the KCl-soluble proteins of the egg and in vivo factors for the contraction are investigated in Hemicentrotus, Anthocidaris, and Pseudocentrotus eggs. The contractility of the thread model induced by metal ions or cystine changes during development in the characteristic pattern of high at the metaphase and low at the monaster and the interkinetic stages. The change in contractility is paralleled by the change in the —SH content of the protein. The water-soluble fraction of the eggs has activity in causing contraction of the thread model. This activity changes during development in the same way as the contractility itself. The contraction of the thread induced by the water-soluble fractions is accompanied by a decrease in the —SH content of the thread. The activity of the water-soluble fraction in inducing the contraction is proportional to its ability to decrease the number of —SH groups. On boiling, the activity is largely destroyed. The activity is due to two components, one being non-dialyzable and the other dialyzable. Separately each component has little effect, but when mixed, the activity of the original sample is completely restored.     

Modeling the Effect of APC Truncation on Destruction Complex Function in Colorectal Cancer Cells

In colorectal cancer cells, APC, a tumor suppressor protein, is commonly expressed in truncated form. Truncation of APC is believed to disrupt degradation of β—catenin, which is regulated by a multiprotein complex called the destruction complex. The destruction complex comprises APC, Axin, β—catenin, serine/threonine kinases, and other proteins. The kinases and , which are recruited by Axin, mediate phosphorylation of β—catenin, which initiates its ubiquitination and proteosomal degradation. The mechanism of regulation of β—catenin degradation by the destruction complex and the role of truncation of APC in colorectal cancer are not entirely understood. Through formulation and analysis of a rule-based computational model, we investigated the regulation of β—catenin phosphorylation and degradation by APC and the effect of APC truncation on function of the destruction complex. The model integrates available mechanistic knowledge about site-specific interactions and phosphorylation of destruction complex components and is consistent with an array of published data. We find that the phosphorylated truncated form of APC can outcompete Axin for binding to β—catenin, provided that Axin is limiting, and thereby sequester β—catenin away from Axin and the Axin-recruited kinases and . Full-length APC also competes with Axin for binding to β—catenin; however, full-length APC is able, through its SAMP repeats, which bind Axin and which are missing in truncated oncogenic forms of APC, to bring β—catenin into indirect association with Axin and Axin-recruited kinases. Because our model indicates that the positive effects of truncated APC on β—catenin levels depend on phosphorylation of APC, at the first 20-amino acid repeat, and because phosphorylation of this site is mediated by , we suggest that is a potential target for therapeutic intervention in colorectal cancer. Specific inhibition of is predicted to limit binding of β—catenin to truncated APC and thereby to reverse the effect of APC truncation.     

Two categories of c/c ratios for higher plants

¹³C/¹²C ratios have been determined for plant tissue from 104 species representing 60 families. Higher plants fall into two categories, those with low δ_PDBI¹³C values (—24 to —34‰) and those with high δ ¹³C values (—6 to —19‰). Algae have δ ¹³C values of —12 to —23‰. Photosynthetic fractionation leading to such values is discussed.     

Variations in Sulfhydryl, Disulfide, and Protein Content during Synchronous and Asynchronous Growth of HeLa Cells

The cellular contents of protein-bound and nonprotein sulfhydry (—SH) and disulfide (—SS—) groups were measured in both asynchronous and synchronous HeLa S3 cultures. About 90% of these groups are associated with proteins, the majority in the —SH form. The content of protein-bound groups, and hence the total content of —SH and —SS— groups (28 × 10^-15 moles/cell, or 1.1 × 10^-6 moles/g protein on average), changes in parallel with the protein content (which varies between 2 and 4 × 10^-10 g/cell) as asynchronous populations pass from the lag through the exponential to the stationary phase of growth. The concentration of nonprotein —SH groups, in contrast, increases 10-fold during lag phase and decreases in stationary phase; it follows the protein concentration closely during the exponential phase, at a level of about 2.8 × 10^-15 moles/cell. In synchronous cultures the protein content doubles during the cell cycle, possibly in an exponential fashion. The total —SH and —SS— content also doubles, but the rate of increase appears to fluctuate. The concentrations of the protein-bound groups show 2- to 3-fold fluctuations per unit protein: protein-bound —SH groups and mixed —SS— linkages rise to maxima while protein-bound —SS— groups fall to a minimum at the G₁/S transition, and fluctuations in these groups occur again during G₂. In addition, the protein-bound —SH concentration falls continuously during the S phase. The nonprotein —SH concentration undergoes the largest (relative) fluctuations, dropping from 4 × 10^-15moles/cell in early G₁ to about 0.4 × 10^-15 moles/cell (of standard protein content) at the end of G₁, and then rising to 30 times this value by the end of S.     

Trade-off between age of first reproduction and survival in a female primate

Trade-offs are central to life-history theory but difficult to document. Patterns of phenotypic and genetic correlations in rhesus macaques, Macaca mulatta—a long-lived, slow-reproducing primate—are used to test for a trade-off between female age of first reproduction and adult survival. A strong positive genetic correlation indicates that female macaques suffer reduced adult survival when they mature relatively early and implies primate senescence can be explained, in part, by antagonistic pleiotropy. Contrasts with a similar human study implicate the extension of parental effects to later ages as a potential mechanism for circumventing female life-history trade-offs in human evolution.     

Environmental stress destabilizes microbial networks

Environmental stress is increasing worldwide, yet we lack a clear picture of how stress disrupts the stability of microbial communities and the ecosystem services they provide. Here, we present the first evidence that naturally-occurring microbiomes display network properties characteristic of unstable communities when under persistent stress. By assessing changes in diversity and structure of soil microbiomes along 40 replicate stress gradients (elevation/water availability gradients) in the Florida scrub ecosystem, we show that: (1) prokaryotic and fungal diversity decline in high stress, and (2) two network properties of stable microbial communities—modularity and negative:positive cohesion—have a clear negative relationship with environmental stress, explaining 51–78% of their variation. Interestingly, pathogenic taxa/functional guilds decreased in relative abundance along the stress gradient, while oligotrophs and mutualists increased, suggesting that the shift in negative:positive cohesion could result from decreasing negative:positive biotic interactions consistent with the predictions of the Stress Gradient Hypothesis. Given the crucial role microbiomes play in ecosystem functions, our results suggest that, by limiting the compartmentalization of microbial associations and creating communities dominated by positive associations, increasing stress in the Anthropocene could destabilize microbiomes and undermine their ecosystem services.Subject terms: Microbial ecology, Microbial ecology     

The respiratory chain of plant mitochondria: x. Oxidation-reduction potentials of the flavoproteins of skunk cabbage mitochondria

The oxidation-reduction potentials of the flavoproteins of skunk cabbage (Symplocarpus foetidus) mitochondria have been measured under anaerobic conditions by means of a combined spectrophotometric or fluorimetric-potentiometric method. Five components were resolved whose oxidation-reduction reactions corresponded to two-electron changes, as expected for flavoproteins. The midpoint potentials at pH 7.2 are as follows, listed in order of increasingly negative potential: +170 millivolts, +110 millivolts, +20 millivolts, −70 millivolts, and −155 millivolts. The most negative component was highly fluorescent; the other components could only be identified by their characteristic absorbance changes. In addition to these components, which are mitochondrial, variable amounts of a very highly fluorescent flavoprotein with a midpoint potential of −215 millivolts was found. This component appears to be extra-mitochondrial. The same midpoint potential values at pH 7.2 were obtained with mitochondria in the uncoupled state as in mitochondria energized with ATP in the absence of phosphate.     

On the mechanism of chromatin loss induced by the B chromosome of maize

Knobbed regions of the regular maize complement frequently are eliminated at the second microspore division in spores which have two or more B chromosomes. Evidence is presented that no or little loss occurs in spores with one B and that the rate is not increased in spores with more than two B's.—The B chromosomes from an unrelated strain proved as effective in inducing loss as did the B's of the original high loss stock.—Chromatin loss induced by B's is restricted to knobbed A chromosomes and occurs only at the second microspore division. Knobbed chromosomes 3, 5, and 9 have been tested and all interact with B's to give loss. Chromosomes with large knobs are more frequently broken than are those with smaller knobs and knobless chromosomes show negligible loss.—Although knobs and B's are essential for chromatin elimination, modifying genes can markedly affect the rate of loss.——Two knobbed heterologous chromosomes undergo simultaneous loss more frequently than expected from independent events. The data indicate that joint loss occurs in competent cells and that preferential assortment of the two deficient chromosomes to specific poles is unlikely.—B chromosomes and deficient chromosomes assort independently at the second microspore anaphase.—Genetic data from crosses with marker genes in both arms of chromosome 3 show that breakage of the postulated dicentric bridge does not occur solely at the centric region since a variety of deficient chromosomes were recovered.—Nondisjunction of B chromosomes and elimination of knobbed chromatin take place during the second microspore mitosis. The argument is advanced that the two phenomena result from faulty replication of heterochromatic segments. The position of the nonreplicating segment in the two kinds of chromosomes determines whether nondisjunction or breakage takes place.—Finally, it is suggested that all of the reported effects of the B chromosome can be accounted for if the B is a parasitic entity having no genetic function other than controlling the replication of its proximal heterochromatic knob and increasing the ability of B-containing sperm cells to compete successfully for fertilization of the egg.     

Studies on Sulfhydryl Groups during Cell Division of Sea Urchin Egg : IV. Contractile properties of the thread model of KCl-soluble protein from the sea urchin egg

A KCl-soluble protein fraction can be extracted from the water-insoluble residue of the homogenate of sea urchin eggs which contains three major components separable by ultracentrifugation. When the extract is stirred in acetone or distilled water, a fibrous precipitate appears which has a strong birefringence positive in the direction of the long axis. When the fraction is squirted through a slender tubing, it precipitates in the form of a thread. The thread model contracts vigorously under the action of di-, tri-, and tetravalent metal ions; the contraction can be reversed by EDTA. The contraction and the elongation of the thread model can be repeated many times. The thread model contracts also in the presence of dehydroascorbic acid, cystine, oxidized glutathione, or other oxidizing agents, and this contraction is reversed by reducing agents such as cysteine or ascorbic acid. When —SH groups of the thread model are blocked by various —SH reagents, the contraction by metal ions is inhibited to some extent. As mechanisms of the contraction, electrostatic forces between metal ions and negative charges of the thread model are essential for metal ion-induced contraction and oxidation of —SH groups of the thread model for the contraction by oxidizing reagents.     

Evaluating trophic cascades as drivers of regime shifts in different ocean ecosystems

In ecosystems that are strongly structured by predation, reducing top predator abundance can alter several lower trophic levels—a process known as a trophic cascade. A persistent trophic cascade also fits the definition of a regime shift. Such ‘trophic cascade regime shifts'' have been reported in a few pelagic marine systems—notably the Black Sea, Baltic Sea and eastern Scotian Shelf—raising the question of how common this phenomenon is in the marine environment. We provide a general methodology for distinguishing top-down and bottom-up effects and apply this methodology to time series from these three ecosystems. We found evidence for top-down forcing in the Black Sea due primarily to gelatinous zooplankton. Changes in the Baltic Sea are primarily bottom-up, strongly structured by salinity, but top-down forcing related to changes in cod abundance also shapes the ecosystem. Changes in the eastern Scotian Shelf that were originally attributed to declines in groundfish are better explained by changes in stratification. Our review suggests that trophic cascade regime shifts are rare in open ocean ecosystems and that their likelihood increases as the residence time of water in the system increases. Our work challenges the assumption that negative correlation between consecutive trophic levels implies top-down forcing.     

Performance Feedback Processing Is Positively Biased As Predicted by Attribution Theory

A considerable literature on attribution theory has shown that healthy individuals exhibit a positivity bias when inferring the causes of evaluative feedback on their performance. They tend to attribute positive feedback internally (e.g., to their own abilities) but negative feedback externally (e.g., to environmental factors). However, all empirical demonstrations of this bias suffer from at least one of the three following drawbacks: First, participants directly judge explicit causes for their performance. Second, participants have to imagine events instead of experiencing them. Third, participants assess their performance only after receiving feedback and thus differences in baseline assessments cannot be excluded. It is therefore unclear whether the classically reported positivity bias generalizes to setups without these drawbacks. Here, we aimed at establishing the relevance of attributions for decision-making by showing an attribution-related positivity bias in a decision-making task. We developed a novel task, which allowed us to test how participants changed their evaluations in response to positive and negative feedback about performance. Specifically, we used videos of actors expressing different facial emotional expressions. Participants were first asked to evaluate the actors’ credibility in expressing a particular emotion. After this initial rating, participants performed an emotion recognition task and did—or did not—receive feedback on their veridical performance. Finally, participants re-rated the actors’ credibility, which provided a measure of how they changed their evaluations after feedback. Attribution theory predicts that participants change their evaluations of the actors’ credibility toward the positive after receiving positive performance feedback and toward the negative after negative performance feedback. Our results were in line with this prediction. A control condition without feedback showed that correct or incorrect performance alone could not explain the observed positivity bias. Furthermore, participants’ behavior in our task was linked to the most widely used measure of attribution style. In sum, our findings suggest that positive and negative performance feedback influences the evaluation of task-related stimuli, as predicted by attribution theory. Therefore, our study points to the relevance of attribution theory for feedback processing in decision-making and provides a novel outlook for decision-making biases.     

Potential-dependent interaction of chemical reagents with the gating mechanism of the nerve fiber sodium channel

The action of two water-soluble carbodiimides and of Woodward's reagent K on the properties of the gating mechanism of sodium channels of the Ranvier node membrane was investigated. Treatment with carbodiimide solution (pH 4.8–5.2) at a potential of –80 to –100 mV was shown to delay activation and inactivation of the channels considerably and to reduce the sensitivity of both gating functions to changes in membrane potential. The effective activation charge, determined relative to the limiting logarithmic slope of the activation curve (z_ef) was reduced by 1.7 times. Treatment of the membrane under the same conditions, but at zero holding potential, induced much smaller changes in properties of the gating mechanism; under these conditions z_ef remained unchanged. Woodward's reagent at high negative potential induced the same changes in the gating system as carbodiimide at 0 mV. The action of Woodward's reagent also depended on potential, but by a lesser degree than when carbodiimides were used. The results suggest that two types of carboxyl groups exist on the outer surface of the membrane: "mobile," which perform the role of gating particles and which are moved from the surface when the channel changes into the open or inactivated state, and "immobile," which face the external solution whatever the state of the channel.Institute of Cytology, Academy of Sciences of the USSR, Leningrad. Translated from Neirofiziologiya, Vol. 16, No. 5, pp. 577–590, September–October, 1984.     

Systematically assessing microbiome–disease associations identifies drivers of inconsistency in metagenomic research

Evaluating the relationship between the human gut microbiome and disease requires computing reliable statistical associations. Here, using millions of different association modeling strategies, we evaluated the consistency—or robustness—of microbiome-based disease indicators for 6 prevalent and well-studied phenotypes (across 15 public cohorts and 2,343 individuals). We were able to discriminate between analytically robust versus nonrobust results. In many cases, different models yielded contradictory associations for the same taxon–disease pairing, some showing positive correlations and others negative. When querying a subset of 581 microbe–disease associations that have been previously reported in the literature, 1 out of 3 taxa demonstrated substantial inconsistency in association sign. Notably, >90% of published findings for type 1 diabetes (T1D) and type 2 diabetes (T2D) were particularly nonrobust in this regard. We additionally quantified how potential confounders—sequencing depth, glucose levels, cholesterol, and body mass index, for example—influenced associations, analyzing how these variables affect the ostensible correlation between Faecalibacterium prausnitzii abundance and a healthy gut. Overall, we propose our approach as a method to maximize confidence when prioritizing findings that emerge from microbiome association studies.

The human microbiome has been associated with many aspects of our health, but how many of these associations are truly reproducible? This study attempts to address this question by systematically testing the robustness of 581 microbial features that have been reported as being disease-associated.     

Energetics of Sodium Transport in Frog Skin : II. The effects of electrical potential on oxygen consumption

Studies were made of the dependence of the rate of oxygen consumption, J_r, on the electrical potential difference, Δψ, across the frog skin. After the abolition of sodium transport by ouabain the basal oxygen consumption was independent of Δψ. In fresh skins J_r was a linear function of Δψ over a range of at least ±70 mv. Treatment with aldosterone stimulated the short-circuit current, I_o, and the associated rate of oxygen consumption, J_ro, and increased their stability; linearity was then demonstrable over a range of ±160 mv. Brief perturbations of Δψ (±30–200 mv) did not alter subsequent values of I_o. Perturbations for 10 min or more produced a "memory" effect both with and without aldosterone: accelerating sodium transport by negative clamping lowered the subsequent value of I_o; positive clamping induced the opposite effect. Changes in J_ro were more readily detectable in the presence of aldosterone; these were in the same direction as the changes in I_o. The linearity of J_r in Δψ indicates the validity of analysis in terms of linear nonequilibrium thermodynamics—brief perturbations of Δψ appear to produce no significant effect on either the phenomenological coefficients or the free energy of the metabolic driving reaction. Hence it is possible to evaluate this free energy.