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Kinetic contours in rotating objects.

Kinetic contours seen in rotating objects provide evidence about contour function in a kinetic condition. It was observed that (i) when an object with an arc-shaped edge in its outline is rotated, a kinetic contour arises from the rotating arc and bounds a 'figure'; (ii) the kinetic contour not only protects the enclosed area of this figure from the destruction caused by motion, but also interrupts the continuity of the surroundings; (iii) kinetic contours are generally perceived to be organized into discs which appear as amodally completed forms in such a way that one object is hidden behind the other. The fact that oval or outline figures rarely produce kinetic contours is assumed to be due to figural self-sufficiency, which does not require perceptual completion through motion.

Form Perception↗

RNA hairpin-folding kinetics.

Based on the complete ensemble of hairpin conformations, a statistical mechanical model that combines the eigenvalue solutions of the rate matrix and the free-energy landscapes has been able to predict the temperature-dependent folding rate, kinetic intermediates, and folding pathways for hairpin-forming RNA sequences. At temperatures higher than a "glass transition" temperature, T(g), the eigenvalues show a distinct time separation, and the rate-limiting step is a two-state single exponential process determined by the slowest eigenmode. At temperatures lower than T(g), no distinct time separation exists for the eigenvalues, hence multiple (slow) eigenmodes contribute to the rate-determining processes, and the folding involves the trapping and detrapping of kinetic intermediates. For a 21-nt sequence we studied, T(g) is lower than the transition temperature, T(m), for thermodynamic equilibrium folding. For T > T(m), starting from the native state, the chain undergoes a biphasic unfolding transition: a preequilibrated quasi-equilibrium macrostate is formed followed by a rate-limiting two-state transition from the macrostate to the unfolded state. For T(g) < T < T(m), the chain undergoes a two-state on-pathway folding transition, at which a nucleus is formed by the base stacks close to the loop region before a rapid assembly of the whole hairpin structure. For T < T(g), the multistate kinetics involve kinetic trapping, causing the roll-over behavior in the rate-temperature Arrhenius plot. The complex kinetic behaviors of RNA hairpins may be a paradigm for the folding kinetics of large RNAs.

Base Sequence↗

Assigning numbers to the arrows: parameterizing a gene regulation network by using accurate expression kinetics.

A basic challenge in systems biology is to understand the dynamical behavior of gene regulation networks. Current approaches aim at determining the network structure based on genomic-scale data. However, the network connectivity alone is not sufficient to define its dynamics; one needs to also specify the kinetic parameters for the regulation reactions. Here, we ask whether effective kinetic parameters can be assigned to a transcriptional network based on expression data. We present a combined experimental and theoretical approach based on accurate high temporal-resolution measurement of promoter activities from living cells by using green fluorescent protein (GFP) reporter plasmids. We present algorithms that use these data to assign effective kinetic parameters within a mathematical model of the network. To demonstrate this, we employ a well defined network, the SOS DNA repair system of Escherichia coli. We find a strikingly detailed temporal program of expression that correlates with the functional role of the SOS genes and is driven by a hierarchy of effective kinetic parameter strengths for the various promoters. The calculated parameters can be used to determine the kinetics of all SOS genes given the expression profile of just one representative, allowing a significant reduction in complexity. The concentration profile of the master SOS transcriptional repressor can be calculated, demonstrating that relative protein levels may be determined from purely transcriptional data. This finding opens the possibility of assigning kinetic parameters to transcriptional networks on a genomic scale.

Algorithms↗

A kinetically significant intermediate in the folding of barnase.

A series of studies on the small protein barnase in the 1990s established it as a paradigm for protein folding in which there is a kinetically important intermediate. But, a recent study in PNAS claims that there are no stable intermediates on the folding pathway. I summarize the evidence that proves that the folding kinetics of barnase is inconsistent with the absence of a folding intermediate. I reinterpret the major evidence presented against the intermediate (an inflection in the unfolding limb of a chevron plot) and show that the inflection is precisely what is predicted from the energy diagram for a three-state reaction with a kinetically significant on-pathway intermediate. The inflection is indicative of a change of rate determining step from the formation to breakdown of an intermediate on unfolding. Other evidence presented against the intermediate is, in fact, consistent with a kinetically important intermediate. I show how the complexities in the kinetics provide a means for measuring otherwise unobtainable rate constants and provide a strategy for mapping the structure of the early transition state in folding. Rather than refute multistate kinetics, the presence of the inflection in the unfolding plot constitutes a novel type of evidence for on-pathway folding intermediates.

Bacterial Proteins↗

Kinetic control of Ca(II) signaling: tuning the ion dissociation rates of EF-hand Ca(II) binding sites.

EF-hand Ca(II) binding sites share a conserved architecture and are prevalent in Ca(II) signaling pathways. The ion binding kinetics of these sites are carefully tuned to provide the physiologically appropriate activation and inactivation time scales. Here we examine kinetic tuning by the side chain at the ninth position of the EF-loop. A model is proposed in which both the size and charge of the side chain contribute to kinetic tuning. To test this model, the ninth loop position of the EF-hand-like site in the Escherichia coli D-galactose binding protein has been engineered and the Tb(III) dissociation kinetics of the resulting sites have been analyzed. Substitutions at this position are observed to generate up to 10(4)-fold changes in Tb(III) dissociation rates, with little effect on Tb(III) affinity. Furthermore, the observed pattern of rate changes confirm the model's predictions; long side chains at the ninth loop position yield slow dissociation kinetics as predicted for a steric block, whereas acidic side chains yield slow dissociation kinetics as expected for an electrostatic barrier.

Calcium↗

Kinetics and mechanism of polyamide ("peptide") nucleic acid binding to duplex DNA.

To elucidate the mechanism of recognition of double-stranded DNA (dsDNA) by homopyrimidine polyamide ("peptide") nucleic acid (PNA) leading to the strand-displacement, the kinetics of the sequence-specific PNA/DNA binding have been studied. The binding was monitored with time by the gel retardation and nuclease S1 cleavage assays. The experimental kinetic curves obey pseudo-first-order kinetics and the dependence of the pseudo-first-order rate constant, kps, on PNA concentration, P, obeys a power law kps approximately P gamma with 2 < gamma < 3. The kps values for binding of decamer PNA to dsDNA target sites with one mismatch are hundreds of times slower than for the correct site. A detailed kinetic scheme for PNA/DNA binding is proposed that includes two major steps of the reaction of strand invasion: (i) a transient partial opening of the PNA binding site on dsDNA and incorporation of one PNA molecule with the formation of an intermediate PNA/DNA duplex and (ii) formation of a very stable PNA2/DNA triplex. A simple theoretical treatment of the proposed kinetic scheme is performed. The interpretation of our experimental data in the framework of the proposed kinetic scheme leads to the following conclusions. The sequence specificity of the recognition is essentially provided at the "search" step of the process, which consists in the highly reversible transient formation of duplex between one PNA molecule and the complementary strand of duplex DNA while the other DNA strand is displaced. This search step is followed by virtually irreversible "locking" step via PNA2/DNA triplex formation. The proposed mechanism explains how the binding of homopyrimidine PNA to dsDNA meets two apparently mutually contradictory features: high sequence specificity of binding and remarkable stability of both correct and mismatched PNA/DNA complexes.

Base Sequence↗

L-aspartate association contributes to rate limitation and induction of the T-->R transition in Escherichia coli aspartate transcarbamoylase. Equilibrium exchanges and kinetic isotope effects with a Vmax-enhanced mutant, Asp-236-->Ala.

Equilibrium isotope exchange kinetics (EIEK) and kinetic isotope effects have been used to determine the mechanistic basis for the altered kinetic characteristics of a mutant version of Escherichia coli aspartate transcarbamylase in which Asp-236 of the catalytic chain is replaced by alanine (Asp-236-->Ala). The [14C]Asp<--> N-carbamyl-L-aspartate (CAsp) and [14C]CP<-->CAsp exchange rates, observed as a function of various reactant-product pairs, exhibited dramatic increases in maximal rates, along with decreases in substrate half-saturation values and cooperativity. The carbon kinetic isotope effect, 13C versus 12C at the carbonyl group of carbamoyl phosphate, for the Asp-236-->Ala enzyme decreased toward unity as [Asp] increased, as observed for the wild-type enzyme. Both the kinetic isotope effects and EIEK results indicate that the Asp-236-->Ala enzyme operates by the same ordered kinetic mechanism as the wild-type enzyme. Although activation effects by ATP and N-phosphonacetyl-L-aspartate are lost, inhibition by CTP was apparent in equilibrium exchanges. Simulation of the EIEK data indicated that the best fit to the observed changes in saturation curves was obtained by preferentially increasing the rate of the T-->R transition, kappa T-->R, thereby destabilizing the T-state and increasing the equilbrium constant for the T<-->R transition. A multistep model for Asp bindng to aspartate transcarbamoylase is proposed, in which Asp induces the initial conformational changes that in turn trigger the T-->R transition, followed by stepwise filling of the remaining active sites.

Alanine↗

Proton-linked subunit kinetic heterogeneity for carbon monoxide binding to hemoglobin from Chelidonichthys kumu.

The pH dependence of CO binding kinetics to Chelidonichthys kumu hemoglobin (Hb) and human adult Hb has been investigated between pH 2.0 and 9.0 at 20 degrees C. For both Hbs, CO binding kinetics is characterized by two proton-linked transitions, with different pKa values for alpha- and beta-chains in C. kumu Hb, leading to a relevant functional kinetic heterogeneity at most pH values. On the other hand, in human adult Hb the CO binding does not display a functional heterogeneity. Lowering the pH from 9 to 6 brings about a decrease of the CO binding rate constants, to a different extent for human adult Hb and the two chains of C. kumu Hb. Further lowering the pH from 6 to 2 induces an enhancement of CO binding rate constants, probably related to the protonation of proximal HisF8 Nepsilon atom and the cleavage (or severe weakening) of the HisF8-Fe bond. The presence of physiological concentrations of ATP (approximately 3 mM) affects the pH dependence of CO binding kinetics to C. kumu. Moreover, the effect of temperature (between 8 degrees C and 38 degrees C) on CO binding kinetics has been investigated in the absence of ATP at different pH values. These results allow to interpret the functional kinetic heterogeneity of C. kumu Hb on the basis of different regulatory aspects in the alpha- and beta-subunits, as suggested by structural considerations.

Adult↗

Kinetic partitioning. Poising SecB to favor association with a rapidly folding ligand.

Chaperones are a class of proteins that possess the remarkable ability to selectively bind polypeptides that are in a nonnative state. The selectivity of SecB, a molecular chaperone in Escherichia coli, for its ligands can be explained in part by a kinetic partitioning between folding of the polypeptide and association with SecB. It has clearly been established that kinetic partitioning can be poised to favor association with SecB by changing the rate constant for folding of the ligand. We now demonstrate that binding to SecB can be given a kinetic advantage over the pathway for folding by modulating the properties of the chaperone. By poising SecB to expose a hydrophobic patch, we were able to detect a complex between SecB and maltose-binding protein under conditions in which rapid folding of the polypeptide otherwise precludes formation of a kinetically stable complex. The data presented here are interpreted within the framework of a kinetic partitioning between binding to SecB and folding of the polypeptide. We propose that exposure of a hydrophobic patch on SecB increases the surface area for binding and thereby increases the rate constant for association. In this way association of SecB with the polypeptide ligand has a kinetic advantage over the pathway for folding.

ATP-Binding Cassette Transporters↗

Purification, characterization, and kinetic mechanism of cyclin D1. CDK4, a major target for cell cycle regulation.

The cyclin D1.CDK4-pRb (retinoblastoma protein) pathway plays a central role in the cell cycle, and its deregulation is correlated with many types of cancers. As a major drug target, we purified dimeric cyclin D1.CDK4 complex to near-homogeneity by a four-step procedure from a recombinant baculovirus-infected insect culture. We optimized the kinase activity and stability and developed a reproducible assay. We examined several catalytic and kinetic properties of the complex and, via steady-state kinetics, derived a kinetic mechanism with a peptide (RbING) and subsequently investigated the mechanistic implications with a physiologically relevant protein (Rb21) as the phosphoacceptor. The complex bound ATP 130-fold tighter when Rb21 instead of RbING was used as the phosphoacceptor. By using staurosporine and ADP as inhibitors, the kinetic mechanism of the complex appeared to be a "single displacement or Bi-Bi" with Mg2+.ATP as the leading substrate and phosphorylated RbING as the last product released. In addition, we purified a cyclin D1-CDK4 fusion protein to homogeneity by a three-step protocol from another recombinant baculovirus culture and observed similar kinetic properties and mechanisms as those from the complex. We attempted to model staurosporine in the ATP-binding site of CDK4 according to our kinetic data. Our biochemical and modeling data provide validation of both the complex and fusion protein as highly active kinases and their usefulness in antiproliferative inhibitor discovery.

Adenosine Triphosphate↗

Understanding glucose transport by the bacterial phosphoenolpyruvate:glycose phosphotransferase system on the basis of kinetic measurements in vitro.

The kinetic parameters in vitro of the components of the phosphoenolpyruvate:glycose phosphotransferase system (PTS) in enteric bacteria were collected. To address the issue of whether the behavior in vivo of the PTS can be understood in terms of these enzyme kinetics, a detailed kinetic model was constructed. Each overall phosphotransfer reaction was separated into two elementary reactions, the first entailing association of the phosphoryl donor and acceptor into a complex and the second entailing dissociation of the complex into dephosphorylated donor and phosphorylated acceptor. Literature data on the K(m) values and association constants of PTS proteins for their substrates, as well as equilibrium and rate constants for the overall phosphotransfer reactions, were related to the rate constants of the elementary steps in a set of equations; the rate constants could be calculated by solving these equations simultaneously. No kinetic parameters were fitted. As calculated by the model, the kinetic parameter values in vitro could describe experimental results in vivo when varying each of the PTS protein concentrations individually while keeping the other protein concentrations constant. Using the same kinetic constants, but adjusting the protein concentrations in the model to those present in cell-free extracts, the model could reproduce experiments in vitro analyzing the dependence of the flux on the total PTS protein concentration. For modeling conditions in vivo it was crucial that the PTS protein concentrations be implemented at their high in vivo values. The model suggests a new interpretation of results hitherto not understood; in vivo, the major fraction of the PTS proteins may exist as complexes with other PTS proteins or boundary metabolites, whereas in vitro, the fraction of complexed proteins is much smaller.

Biological Transport↗

Kinetic studies on beta-site amyloid precursor protein-cleaving enzyme (BACE). Confirmation of an iso mechanism.

The steady-state kinetic mechanism of beta-amyloid precursor protein-cleaving enzyme (BACE)-catalyzed proteolytic cleavage was evaluated using product and statine- (Stat(V)) or hydroxyethylene-containing (OM99-2) peptide inhibition data, solvent kinetic isotope effects, and proton NMR spectroscopy. The noncompetitive inhibition pattern observed for both cleavage products, together with the independence of Stat(V) inhibition on substrate concentration, suggests a uni-bi-iso kinetic mechanism. According to this mechanism, the enzyme undergoes multiple conformation changes during the catalytic cycle. If any of these steps are rate-limiting to turnover, an enzyme form preceding the rate-limiting conformational change should accumulate. An insignificant solvent kinetic isotope effect (SKIE) on k(cat)/K(m), a large inverse solvent kinetic isotope effect on k(cat), and the absence of any SKIE on the inhibition onset by Stat(V) during catalysis together indicate that the rate-limiting iso-step occurs after formation of a tetrahedral intermediate. A moderately short and strong hydrogen bond (at delta 13.0 ppm and phi of 0.6) has been observed by NMR spectroscopy in the enzyme-hydroxyethylene peptide (OM99-2) complex that presumably mimics the tetrahedral intermediate of catalysis. Collapse of this intermediate, involving multiple steps and interconversion of enzyme forms, has been suggested to impose a rate limitation, which is manifested in a significant SKIE on k(cat). Multiple enzyme forms and their distribution during catalysis were evaluated by measuring the SKIE on the noncompetitive (mixed) inhibition constants for the C-terminal reaction product. Large, normal SKIE values were observed for these inhibition constants, suggesting that both kinetic and thermodynamic components contribute to the K(ii) and K(is) expressions, as has been suggested for other iso-mechanism featuring enzymes. We propose that a conformational change related to the reprotonation of aspartates during or after the bond-breaking event is the rate-limiting segment in the catalytic reaction of beta-amyloid precursor protein-cleaving enzyme, and ligands binding to other than the ground-state forms of the enzyme might provide inhibitors of greater pharmacological relevance.

Amyloid Precursor Protein Secretases↗

Kinetic studies of the uracil phosphoribosyltransferase reaction catalyzed by the Bacillus subtilis pyrimidine attenuation regulatory protein PyrR.

The PyrR protein from Bacillus subtilis and many other bacteria is a bifunctional protein. Its primary function is the regulation of expression of pyrimidine biosynthetic (pyr) genes by binding to specific sites on pyr mRNA in a uridine nucleotide-dependent manner and altering the folding of downstream RNA to promote termination of transcription. PyrR also catalyzes the uracil phosphoribosyltransferase (UPRTase) reaction even though it bears little amino acid sequence similarity to other bacterial UPRTases. The PyrR-catalyzed UPRTase reaction obeyed a Ping Pong steady state kinetic pattern under all conditions examined, but no catalysis of [(14)C]uracil-UMP and [(32)P]PP(i)-phosphoribosylpyrophosphate exchange reactions could be detected. Steady state equations for Ordered Bi Bi mechanisms for PyrR that include a kinetically irreversible conformational change after binding of PRPP but before uracil binding were shown to account for the Ping Pong pattern of the enzyme. This mechanism was supported by the following experimental observations. The reverse reaction was extremely slow with a catalytic rate constant 3300 times smaller than for the forward reaction. Patterns of product inhibition of the forward reaction were consistent with a version of the irreversible conformational change model in which PyrR returns to the unliganded conformation before dissociation of UMP and were inconsistent with several other kinetic mechanisms. UMP and phosphoribosylpyrophosphate were shown by equilibrium dialysis to bind to free PyrR (dissociation constants of 27 +/- 3 and 18 +/- 2 microm, respectively), but uracil and PP(i) did not bind at equilibrium concentrations up to 750 microm. We propose that the conformational change kinetic model developed for PyrR can also account for numerous other reports of Ping Pong kinetics for various phosphoribosyltransferases that do not form the phosphoribosyl-enzyme intermediate predicted by classic Ping Pong kinetics.

Bacillus subtilis↗

Kinetic modulation in carbonmonoxy derivatives of truncated hemoglobins: the role of distal heme pocket residues and extended apolar tunnel.

Truncated hemoglobins (trHbs), are a distinct and newly characterized class of small myoglobin-like proteins that are widely distributed in bacteria, unicellular eukaryotes, and higher plants. Notable and distinctive features associated with trHbs include a hydrogen-bonding network within the distal heme pocket and a long apolar tunnel linking the external solvent to the distal heme pocket. The present work compares the geminate and solvent phase rebinding kinetics from two trHbs, one from the ciliated protozoan Paramecium caudatum (P-trHb) and the other from the green alga Chlamydomonas eugametos (C-trHb). Unusual kinetic patterns are observed including indications of ultrafast (picosecond) geminate rebinding of CO to C-trHb, very fast solvent phase rebinding of CO for both trHbs, time-dependent biphasic CO rebinding kinetics for P-trHb at low CO partial pressures, and for P-trHb, an increase in the geminate yield from a few percent to nearly 100% under high viscosity conditions. Species-specific differences in both the 8-ns photodissociation quantum yield and the rebinding kinetics, point to a pivotal functional role for the E11 residue. The response of the rebinding kinetics to temperature, ligand concentration, and viscosity (glycerol, trehalose) and the viscosity-dependent changes in the resonance Raman spectrum of the liganded photoproduct, together implicate both the apolar tunnel and the static and dynamic properties of the hydrogen-bonding network within the distal heme pocket in generating the unusual kinetic patterns observed for these trHbs.

Animals↗

Multiple structural elements contribute to the slow kinetics of the Cav3.3 T-type channel.

Molecular cloning and expression studies established the existence of three T-type Ca(2+) channel (Ca(v)3) alpha(1) subunits: Ca(v)3.1 (alpha(1G)), Ca(v)3.2 (alpha(1H)), and Ca(v)3.3 (alpha(1I)). Although all three channels are low voltage-activated, they display considerable differences in their kinetics, with Ca(v)3.1 and Ca(v)3.2 channels activating and inactivating much faster than Ca(v)3.3 channels. The goal of the present study was to determine the structural elements that confer the distinctively slow kinetics of Ca(v)3.3 channels. To address this question, a series of chimeric channels between Ca(v)3.1 and Ca(v)3.3 channels were constructed and expressed in Xenopus oocytes. Kinetic analysis showed that the slow activation and inactivation kinetics of the Ca(v)3.3 channel were not completely abolished by substitution with any one portion of the Ca(v)3.1 channel. Likewise, the Ca(v)3.1 channel failed to acquire the slow kinetics by simply adopting one portion of the Ca(v)3.3 channel. These findings suggest that multiple structural elements contribute to the slow kinetics of Ca(v)3.3 channels.

Animals↗

Nonequilibrium kinetics of a cyclic GMP-binding protein in Dictyostelium discoideum.

Chemoattractants added to cells of the cellular slime mold dictyostelium discoideum induce a transient elevation of cyclic GMP levels, with a maximum at 10 s and a recovery of basal levels at approximately 25 s after stimulation. We analyzed the kinetics of an intracellular cGMP binding protein in vitro and in vivo. The cyclic GMP binding protein in vitro at 0 degrees C can be described by its kinetic constants K(1)=2.5 x 10(6) M(- 1)s(-1), k(-1)=3.5 x 10(-3)s(-1), K(d)=1.4 x 10(-9) M, and 3,000 binding sites/cell. In computer simulation experiments the occupancy of the cGMP binding protein was calculated under nonequilibrium conditions by making use of the kinetic constants of the binding protein and of the shape of the cGMP accumulations. These experiments show that under nonequilibrium conditions by making use of the kinetic constants of the binding protein and the shape of the cGMP accumulations. These experiments show that under nonequilibrium conditions the affinity of the binding protein for cGMP is determined by the rate constant of association (k(1)) and not by the dissociation constant (k(d)). Experiments in vivo were performed by stimulation of aggregative cells with the chemoattractant cAMP, which results in a transient cGMP accumulation. At different times after stimulation with various cAMP concentrations, the cells were homogenized and immediately thereafter the number of binding proteins which were not occupied with native cGMP were determined. The results of these experiments in vivo are in good agreement with the results of the computer experiments. This may indicate that: (a) The cGMP binding protein in vivo at 22 degrees C can be described by its kinetic constants: K(1)=4x10(6)M(-1)s(-1) and K(-1)=6x10(-3)s(-1). (b) Binding the cGMP to its binding protein is transient with a maximum at about 20-30 s after chemotactic stimulation, followed by a decay to basal levels, with a half-life of approximately 2 min. (c) The cGMP to its binding proteins get half maximally occupied at a cGMP accumulation of delta[cGMP](10)=2x10(-8) M, which corresponds to an extracellular stimulation of aggregative cells by 10(-10) M cAMP. (d) Since the mean basal cGMP concentration is approximately 2x10(-7) M, the small increase of cGMP cannot be detected accurately. Therefore the absence of a measurable cGMP accumulation does not argue against a cGMP function. (e) There may exist two compartments of cGMP: one contains almost all the cGMP of unstimulated cells, and the other contains cGMP binding proteins and the cGMP which accumulates after chemotactic stimulation. (f) From the kinetics of binding, the cellular responses to the chemoattractant can be divided into two classes: responses which can be mediated by this binding protein (such as light scattering, proton extrusion, PDE induction, and chemotaxis) and responses which cannot be (solely) mediated by this binding protein such as rlay, refractoriness, phospholipids methylation, and protein methylation.

Carrier Proteins↗

A quantitative study of potassium channel kinetics in rat skeletal muscle from 1 to 37 degrees C.

Potassium currents were measured using the three-microelectrode voltage-clamp technique in rat omohyoid muscle at temperatures from 1 to 37 degrees C. The currents were fitted according to the Hodgkin-Huxley equations as modified for K currents in frog skeletal muscle (Adrian et al., 1970a). The equations provided an approximate description of the time course of activation, the voltage dependence of the time constant of activation (tau n), and the voltage dependence of gK infinity. At higher temperatures the relationship between gK infinity and voltage was shifted in the hyperpolarizing direction. The effect of temperature on tau n was much greater in the cold than in the warm: tau n had a Q10 of nearly 6 at temperatures below 10 degrees C, but a Q10 of only approximately 2 over the range of 30-38 degrees C. The decreasing dependence of tau n on temperature was gradual and the Arrhenius plot of tau n revealed no obvious break-points. In addition to its quantitative effect on activation kinetics, temperature also had a qualitative effect. Near physiological temperatures (above approximately 25 degrees C), the current was well described by n4 kinetics. At intermediate temperatures (approximately 15-25 degrees C), the current was well described by n4 kinetics, but only if the n4 curve was translated rightward along the time axis (i.e., the current had a greater delay than could be accounted for by simple n4 kinetics). At low temperatures (below approximately 15 degrees C), n4 kinetics provided only an approximate fit whether or not the theoretical curve was translated along the time axis. In particular, currents in the cold displayed an initial rapid phase of activation followed by a much slower one. Thus, low temperatures appear to reveal steps in the gating process which are kinetically "hidden" at higher temperatures. Taken together, the effects of temperature on potassium currents in rat skeletal muscle demonstrate that the behavior of potassium channels at physiological temperatures cannot be extrapolated, either quantitatively or qualitatively, from experiments carried out in the cold.

Animals↗

Ascorbic acid and in situ kinetics: a new approach to vitamin requirements.

Ascorbic acid requirements are based on preventing the deficiency disease scurvy and on urinary excretion of vitamin C. We proposed the first quantitative approach to determining optimal requirements for ascorbic acid and other vitamins, called in situ kinetics. In situ kinetics biochemically is based on the application of Michaelis-Menten reaction kinetics to ascorbic acid-dependent reactions in situ. Clinically in situ kinetics is based on determining vitamin availability to tissues so that cell-specific reactions can occur. The biochemical concepts of in situ kinetics are verified for the first time through studying ascorbic acid regulation of norepinephrine biosynthesis. The principles of in situ kinetics can now be applied to humans and human cells and for determining optimal requirements for ascorbic acid and for other vitamins.

Ascorbic Acid↗