Academic literature on the topic 'Steady-state dissociation constant'

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Journal articles on the topic "Steady-state dissociation constant"

1

Ikechukwu, I. Udema. "Derivation of steady-state first-order rate constant equations for enzyme-substrate complex dissociation, as well as zero-order rate constant equations in relation to background assumptions." GSC Biological and Pharmaceutical Sciences 21, no. 3 (2022): 175–89. https://doi.org/10.5281/zenodo.7654125.

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The maximum velocity (<em>V</em><sub>max</sub>) of catalysis and the substrate concentration ([<em>S</em><sub>T</sub>]) at half the&nbsp;<em>V</em><sub>max</sub>, the&nbsp;<em>K</em><sub>M</sub><em>,</em>&nbsp;are regarded as steady-state (SS) parameters even though they are the outcomes of zero-order kinetics (ZOK). The research was aimed at disputing such a claim with the following objectives: To: 1) carry out an overview of issues pertaining to the validity of assumptions; 2) derive the needed steady-state (SS) equations distinct from Michaelian equations that can be fitted to both experimental variables and kinetic parameters; 3) calculate the SS first-order rate constant for the dissociation of enzyme-substrate complex (ES) to free substrate, S and enzyme, E; 4) derive the equation of rate constant as a function of the reciprocal of the duration of each catalytic event in the reaction pathway. The experimental values of the data were generated by Bernfeld and Lineweaver-Burk methods. The calculated SS 1<sup>st</sup>&nbsp;order-order rate constant was &laquo; the zero-order Michaelian value, and the difference is &asymp; 97.59 % of the zero-order value; the SS catalytic rate differed from the zero-order catalytic rate by &asymp; 76.41 % of the latter value; and it was &asymp; 93.87 % with respect to the 2<sup>nd</sup>&nbsp;order rate constant for the formation of enzyme-substrate complex. The equations of time-dependent rate constants,&nbsp;<em>K</em><sub>M</sub>, and dissociation constants were derived. The magnitude of [<em>S</em><sub>T</sub>] must be &gt; the concentration ([<em>E</em><sub>0</sub>]) of the E for the quasi-steady-state assumption (or approximation) to hold. The SS kinetic parameters are not equivalent to zero-order parameters.
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2

Ikechukwu I. Udema. "Derivation of steady-state first-order rate constant equations for enzyme-substrate complex dissociation, as well as zero-order rate constant equations in relation to background assumptions." GSC Biological and Pharmaceutical Sciences 21, no. 3 (2022): 175–89. http://dx.doi.org/10.30574/gscbps.2022.21.3.0482.

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The maximum velocity (Vmax) of catalysis and the substrate concentration ([ST]) at half the Vmax, the KM, are regarded as steady-state (SS) parameters even though they are the outcomes of zero-order kinetics (ZOK). The research was aimed at disputing such a claim with the following objectives: To: 1) carry out an overview of issues pertaining to the validity of assumptions; 2) derive the needed steady-state (SS) equations distinct from Michaelian equations that can be fitted to both experimental variables and kinetic parameters; 3) calculate the SS first-order rate constant for the dissociation of enzyme-substrate complex (ES) to free substrate, S and enzyme, E; 4) derive the equation of rate constant as a function of the reciprocal of the duration of each catalytic event in the reaction pathway. The experimental values of the data were generated by Bernfeld and Lineweaver-Burk methods. The calculated SS 1st order-order rate constant was « the zero-order Michaelian value, and the difference is ≈ 97.59 % of the zero-order value; the SS catalytic rate differed from the zero-order catalytic rate by ≈ 76.41 % of the latter value; and it was ≈ 93.87 % with respect to the 2nd order rate constant for the formation of enzyme-substrate complex. The equations of time-dependent rate constants, KM, and dissociation constants were derived. The magnitude of [ST] must be &gt; the concentration ([E0]) of the E for the quasi-steady-state assumption (or approximation) to hold. The SS kinetic parameters are not equivalent to zero-order parameters.
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3

HARWOOD, H. James, and Lorraine D. PELLARIN. "Kinetics of low-density lipoprotein receptor activity in Hep-G2 cells: derivation and validation of a Briggs–Haldane-based kinetic model for evaluating receptor-mediated endocytotic processes in which receptors recycle." Biochemical Journal 323, no. 3 (1997): 649–59. http://dx.doi.org/10.1042/bj3230649.

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The process of receptor-mediated endocytosis for receptors that recycle to the cell surface in an active form can be considered as being kinetically analogous to that of a uni-substrate, uni-product enzyme-catalysed reaction. In this study we have derived steady-state initial-velocity rate equations for this process, based on classical Briggs–Haldane and King–Altman kinetic approaches to multi-step reactions, and have evaluated this kinetic paradigm, using as a model system the low-density lipoprotein (LDL)-receptor-mediated endocytosis of the trapped label [14C]sucrose-LDL in uninduced, steady-state Hep-G2 cells. Using the derived rate equations, together with experimentally determined values for Bmax (123 fmol/mg of cell protein), Kd (14.3 nM), the endocytotic rate constant ke (analogous to kcat; 0.163 min-1), Km (80 nM) and maximal internalization velocity (26.4 fmol/min per mg), we have calculated the ratio ke/Km (0.00204 nM-1·min-1), the bimolecular rate constant for LDL and LDL-receptor association (0.00248 nM-1·min-1), the first-order rate constant for LDL–LDL-receptor complex dissociation (0.0354 min-1), the total cellular content of LDL receptors (154 fmol/mg of cell protein), the intracellular LDL receptor concentration (30.7 fmol/mg of cell protein) and the pseudo-first-order rate constant for LDL receptor recycling (0.0653 min-1). Based on this mathematical model, the kinetic mechanism for the receptor-mediated endocytosis of [14C]sucrose-LDL by steady-state Hep-G2 cells is one of constitutive endocytosis via independent internalization sites that follows steady-state Briggs–Haldane kinetics, such that LDL–LDL-receptor interactions are characterized by a rapid-high-affinity ligand–receptor association, followed by ligand–receptor complex internalization that is rapid relative to complex dissociation, and by receptor recycling that is more rapid than complex internalization and that serves to maintain 80% of cellular LDL receptors on the cell surface in the steady-state. The consistency with which these quantitative observations parallel previous qualitative observations regarding LDL-receptor-mediated endocytosis, together with the high correlation between theoretical internalization velocities (calculated from determined rate constants) and experimental internalization velocities, underscore the validity of considering receptor-mediated endocytotic processes for recycling receptors in catalytic terms.
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4

Rigney, E., T. J. Mantle, and F. M. Dickinson. "The kinetics of ox kidney biliverdin reductase in the pre-steady state. Evidence that the dissociation of bilirubin is the rate-determining step." Biochemical Journal 259, no. 3 (1989): 709–13. http://dx.doi.org/10.1042/bj2590709.

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When the production of bilirubin by biliverdin reductase was monitored at 460 nm by stopped-flow spectrophotometry a ‘burst’ was observed with a first-order rate constant at pH 8 of 20 s-1. The steady-state rate was established on completion of the ‘burst’. When the reaction was monitored at 401 nm there was no observed steady-state rate, but a diminished pre-steady-state ‘burst’ reaction was still seen with a rate constant of 22 s-1. We argue that the rate-limiting reaction is the dissociation of bilirubin from an enzyme.NADP+.bilirubin complex. With NADPH as the cofactor the hydride-transfer step was shown to exhibit pH-dependence associated with an ionizing group with a pK of 7.2. The kinetics of NADPH binding to the enzyme at pH 7.0 were measured by monitoring the quenching of protein fluorescence on binding the coenzyme.
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5

Shobukhov, A., and H. Koibuchi. "Dissociation and recombination in the electrolyte flow model." Journal of Physics: Conference Series 2090, no. 1 (2021): 012076. http://dx.doi.org/10.1088/1742-6596/2090/1/012076.

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Abstract We propose a one-dimensional model for the dilute aqueous solution of NaCl which is treated as an incompressible fluid placed in the external electric field. This model is based on the Poisson-Nernst-Planck system of equations, which also contains the constant flow velocity as a parameter and considers the dissociation and the recombination of ions. We study the steady-state solution analytically and prove that it is a stable equilibrium. Analyzing the numerical solutions, we demonstrate the importance of dissociation and recombination for the physical meaningfulness of the model.
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6

Kuwabara, T., S. Kobayashi, and Y. Sugiyama. "Kinetic analysis of receptor-mediated endocytosis of G-CSF derivative, nartograstim, in rat bone marrow cells." American Journal of Physiology-Endocrinology and Metabolism 271, no. 1 (1996): E73—E84. http://dx.doi.org/10.1152/ajpendo.1996.271.1.e73.

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To elucidate the mechanism of the receptor-mediated clearance of granulocyte colony-stimulating factor (G-CSF), we performed kinetic analyses of the receptor-mediated endocytosis (RME) processes using a human G-CSF derivative, nartograstim (NTG), and isolated rat bone marrow cells. The first-order rate constants involved in RME processes were obtained by computerized model fitting of the time courses of the ligand-receptor complex on both the cell surface and in the cell interior and the degradation products in the medium in the pulse-chase experiment. They were also calculated based on a kinetic model involving the ligand concentration dependence of the initial binding rate, the steady-state degradation rate, and the steady-state amounts of ligand on both the cell surface and in the interior. The rate constants for the RME processes after receptor binding determined in the different experiments were similar, that is, the half-times for the dissociation, internalization, and degradation of the ligand-receptor complex were 770, 10-30, and 20 min, respectively. However, the association constant obtained by measuring the initial binding was fivefold greater than that calculated under steady-state conditions. These kinetic analyses support the hypothesis that the internalization of the receptor may be accelerated by ligand binding, causing downregulation of the receptor on the cell surface. These overall kinetic analyses based on steady-state and non-steady-state data of the RME processes clarify the dynamics of the interaction between NTG and its receptor.
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7

Zaborska, W., M. Leszko, M. Kot, and A. Juszkiewicz. "The enthalpimetric determination of inhibition constants for the inhibition of urease by acetohydroxamic acid." Acta Biochimica Polonica 44, no. 1 (1997): 89–98. http://dx.doi.org/10.18388/abp.1997_4444.

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The effect of concentration of acetohydroxamic acid (AHA) on inhibition of jack bean urease in phosphate buffer, pH 7.0, at 25 degrees C, was studied. The measurements were performed at urease concentration of 2.5 mg/100 cm3 for concentrations of urea and AHA ranging in the range of 2-50 mmol dm-3 and 0.25-10 mmol dm-3, respectively. The reactions were monitored by two techniques: analytical and enthalpimetric. For the analytical technique the growth of ammonia concentration in the course of the reaction was determined. From the recorded progress curves the following parameters were calculated for each inhibitor concentration: the initial reaction rate, the steady-state rate and the inversion constant. From these parameters the inhibition constants of the initial and steady-state stages of the reaction, Ki and Ki, were calculated. The former constant did not change whereas the latter one proved to decrease quickly with an increase in inhibitor concentration. This behaviour resulted from the fact that the inactive complex EI was not a product of internal inversion but was formed in the reaction: 2/3I + EI--&gt;(EI.2/3I). The dissociation constant of this complex is equal to about 0.3 x 10(-3) (mol dm-3)2/3.
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8

Chizzonite, R., T. Truitt, B. B. Desai, et al. "IL-12 receptor. I. Characterization of the receptor on phytohemagglutinin-activated human lymphoblasts." Journal of Immunology 148, no. 10 (1992): 3117–24. http://dx.doi.org/10.4049/jimmunol.148.10.3117.

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Abstract IL-12 is a 75-kDa heterodimeric cytokine composed of disulfide-bonded 35-kDa and 40-kDa subunits. Included among the biologic activities mediated by IL-12 is induction of proliferation of PHA-activated human PBL. The concentration of IL-12 required to stimulate maximum proliferation of PHA-activated lymphoblasts is 50 to 100 pM. In this study, highly purified 125I-labeled IL-12 (7 to 15 microCi/microgram; 50 to 100% bioactive) was used to characterize the receptor for IL-12 on 4-day PHA-activated lymphoblasts. The binding of 125I-labeled IL-12 to PHA-activated lymphoblasts was saturable and specific because the binding of radiolabeled ligand was only inhibited by IL-12 and not by other cytokines. The kinetics of [125I]IL-12 binding to PHA-activated lymphoblasts was rapid at both 4 degrees C and 22 degrees C; reaching equilibrium within 60 min. At 22 degrees C, the rate of dissociation of [125I]IL-12 was slow in the absence of competing IL-12 (t1/2 = 5.9 h) and more rapid in the presence of 25 nM competing IL-12 (t1/2 = 2.5 h). The kinetically derived equilibrium dissociation constant ranged from 10 to 83 pM. Analysis of steady state binding data by the method of Scatchard identified a single binding site with an apparent equilibrium dissociation constant of 100 to 600 pM and 1000 to 9000 sites/lymphoblast. The equilibrium dissociation constant for competing ligands and sites per cell calculated from unlabeled IL-12 competition experiments ranged from 164 to 315 pM and 1067 to 3336, respectively, which is in good agreement with the values determined from steady state binding. The variations in KD and sites per cell were dependent on the individual preparations of lymphoblasts. Although the steady state binding data were consistent with a single class of high affinity binding sites, the kinetic dissociation data indicates a cooperative interaction between receptors on PHA-activated lymphoblasts. Affinity cross-linking of surface bound [125I]IL-12 to PHA-activated lymphoblasts at 4 degrees C identified a major complex of approximately 210 to 280 kDa. Anti-IL-12 antibodies also immunoprecipitated a complex of approximately 210 to 280 kDa that was produced by cross-linking unlabeled IL-12 to 125I-labeled lymphoblast cell-surface proteins. Cleavage of this complex with reducing agent identified one radiolabeled protein of approximately 110 kDa. These data suggest that the IL-12 binding site on PHA-activated lymphoblasts may be composed of a single protein of approximately 110 kDa.(ABSTRACT TRUNCATED AT 400 WORDS)
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9

Mendel, C. M. "Modeling thyroxine transport to liver: rejection of the "enhanced dissociation" hypothesis as applied to thyroxine." American Journal of Physiology-Endocrinology and Metabolism 257, no. 5 (1989): E764—E771. http://dx.doi.org/10.1152/ajpendo.1989.257.5.e764.

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Three models for the hepatic uptake of thyoxine (T4) from human plasma were considered: 1) uptake occurs exclusively via the pool of free T4 after spontaneous dissociation of T4-plasma-protein complexes, 2) uptake occurs primarily via the pool of bound T4 by the interaction of one or more binding proteins with the cell-surface membrane, and 3) uptake occurs primarily by "enhanced dissociation" of T4 from one or more of its binding proteins within the sinusoids. Each of these models was examined in relation to well-accepted unidirectional uptake and steady-state kinetics data that indicate that 1) between 4 and 24% of the T4 in normal human serum is taken up unidirectionally by the liver in a single pass, and 2) the in vivo disposal rate of T4 is unaffected by primary changes in the plasma concentration of thyroid hormone-binding globulin. Both analytical and numerical techniques were used. The first two models were found to be compatible with both the steady-state kinetics data and the unidirectional uptake data, given certain assumptions in each of the models. Although theoretically distinguishable on the basis of unidirectional uptake data, uncertainty over the true uptake (influx) rate constant for free T4 prevented resolution between these two models. In contrast, the third model, that of enhanced dissociation [W. M. Pardridge, Am. J. Physiol. 252 (Endocrinol. Metab. 15): E157-E164, 1987], was found, as currently formulated with respect to T4, to be incompatible with both the steady-state kinetics data and the unidirectional uptake data.(ABSTRACT TRUNCATED AT 250 WORDS)
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10

Rakowski, Robert F., David C. Gadsby, and Paul De Weer. "Single Ion Occupancy and Steady-state Gating of Na Channels in Squid Giant Axon." Journal of General Physiology 119, no. 3 (2002): 235–50. http://dx.doi.org/10.1085/jgp.20028500.

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The properties of the small fraction of tetrodotoxin (TTX)-sensitive Na channels that remain open in the steady state were studied in internally dialyzed voltage clamped squid giant axons. The observed Ussing flux ratio exponent (n′) of 0.97 ± 0.03 (calculated from simultaneous measurements of TTX-sensitive current and 22Na efflux) and nonindependent behavior of Na current at high internal [Na] are explained by a one-site (“1s”) permeation model characterized by a single effective binding site within the channel pore in equilibrium with internal Na ions (apparent equilibrium dissociation constant KNai(0) = 0.61 ± 0.08 M). Steady-state open probability of the TTX-sensitive channels can be modeled by the product pap∞, where pa represents voltage-dependent activation described by a Boltzmann distribution with midpoint Va = −7 mV and effective valence za = 3.2 (Vandenberg, C.A., and F. Bezanilla. 1991. Biophys. J. 60:1499–1510) coupled to voltage-independent inactivation by an equilibrium constant (Bezanilla, F., and C.M. Armstrong. 1977. J. Gen. Physiol. 70:549–566) Keq = 770. The factor p∞ represents voltage-dependent inactivation with empirical midpoint V∞= −83 ± 5 mV and effective valence z∞ = 0.55 ± 0.03. The composite pap∞1s model describes the steady-state voltage dependence of the persistent TTX-sensitive current well.
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