A procedure for obtaining initial estimates of parameters appearing in steady-state rate or equilibrium binding equations

1978 ◽  
Vol 56 (7) ◽  
pp. 697-701 ◽  
Author(s):  
I. G. Darvey ◽  
E. J. Walker
Keyword(s):  
Steady State ◽  
Enzyme Kinetics ◽  
Binding Studies ◽  
Equilibrium Binding ◽  
Initial Substrate ◽  
Steady State Rate ◽  
State Rate ◽  
Using Data ◽  
Fitting In ◽  
Initial Substrate Concentration

A 'peeling' procedure is described for obtaining initial estimates of the parameters in the equation:[Formula: see text]where P(x) and Q(x) are polynomials in x. The method is illustrated, in the context of enzyme kinetics, using data which are fitted to the following equation:[Formula: see text]where v denotes the initial steady-state velocity at an initial substrate concentration S, and a1, a2, b1 and b2 are non-negative constants. The applicability and limitations of the method for data fitting in fields such as enzyme kinetics and ligand-binding studies are discussed.

scholarly journals Application of topological methods in enzyme kinetics

1977 ◽  
Vol 163 (3) ◽  
pp. 633-634
Author(s):  
K J Indge
Keyword(s):  
Steady State ◽  
Enzyme Kinetics ◽  
Algebraic Method ◽  
Rate Equations ◽  
Topological Methods ◽  
Steady State Rate ◽  
State Rate

A criticism [Cornish-Bowden (1976) Biochem. J. 159, 167] of an algebraic method for deriving steady-state rate equations [Indge & Childs (1976) Biochem. J. 155, 567-570] is theoretically founded.

scholarly journals The computerized derivation of steady-state rate equations for enzyme kinetics

1984 ◽  
Vol 223 (2) ◽  
pp. 551-553 ◽  
Author(s):  
D G Herries
Keyword(s):  
Steady State ◽  
Enzyme Kinetics ◽  
Rate Constants ◽  
Rate Equations ◽  
British Library ◽  
Steady State Rate ◽  
State Rate ◽  
Basic Version ◽  
Fortran 77

A FORTRAN 77 program is described for the derivation of steady-state rate equations for enzyme kinetics. Input is very simple and consists of the two enzyme forms and the two rate constants for each step in the mechanism. The program may be run interactively or off-line. The results are produced after collecting together the algebraic coefficients of like concentration terms, taking account of sign. A fully interactive BASIC version running on a BBC Microcomputer is also available. Details of the programs have been deposited as Supplementary Publication SUP 50126 (45 pages) with the British Library Lending Division, Boston Spa, Wetherby, West Yorkshire LS23 7BQ, U.K., from whom copies may be obtained as indicated in Biochem. J. (1984) 217, 5.

Corticosterone secretion in rats as a function of ACTH input and adrenal blood flow

1965 ◽  
Vol 209 (4) ◽  
pp. 811-814 ◽  
Author(s):  
John C. Porter ◽  
M. S. Klaiber
Keyword(s):  
Blood Flow ◽  
Steady State ◽  
Steady Increase ◽  
Constant Input ◽  
Corticosterone Secretion ◽  
Steady State Rate ◽  
State Rate

The rate of secretion of corticosterone from the left adrenal of rats receiving a constant input of ACTH was determined for different flows of blood through the adrenal during the 2- to 3-hr interval following hypophysectomy. Two hours after hypophysectomy the secretion of corticosterone was low in all groups regardless of flow. An input of 0.26 mU ACTH/min caused a steady increase in secretion for 30–40 min before a steady-state rate was attained. The average steady-state rate of secretion was 1.1, 2.4, 3.5, 6.2, 7.2, 6.2, and 6.2 µg/5 min for flows of 0.005, 0.012, 0.023, 0.034, 0.039, 0.051, and 0.058 ml/min, respectively. Under the conditions of these experiments where the input of ACTH was 0.26 mU/min the secretion of corticosterone increased significantly with time of input of ACTH and with flow of blood through the adrenal.

scholarly journals The Natural Rate of Interest and the Optimal Rate of Interest in the Steady State

2021 ◽  
pp. 17-41
Author(s):  
Carl Christian von Weizsäcker ◽  
Hagen M. Krämer
Keyword(s):  
Steady State ◽  
Public Debt ◽  
Fundamental Equation ◽  
Optimal Rate ◽  
Natural Rate ◽  
Real Rate ◽  
Capital Theory ◽  
Steady State Rate ◽  
Natural Rate Of Interest ◽  
State Rate

AbstractThe “natural rate of interest” is the hypothetical, risk-free real rate of interest that would obtain in a closed economy, if net public debt were zero. It is considerably less than the optimal steady-state rate of interest, which is equal to the system’s growth rate. This holds for a very general “meta-model.” The fundamental equation of capital theory holds on the optimal steady-state path: T = Z − D, where T is the overall economic period of production, Z is the representative private “waiting period” of consumers and D is the public debt ratio. Prosperity is at least 30% lower at the natural rate of interest than at the optimal rate.

Kinetic Study Of Crystallisation In Amorphous Thin Lpcvd Si Films

1993 ◽  
Vol 321 ◽  
Author(s):  
B. Pieraggi ◽  
J. P. Guillemet ◽  
B. de Mauduit
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Isothermal Annealing ◽  
Nucleation Kinetics ◽  
Crystallisation Kinetics ◽  
Crystallisation Behaviour ◽  
Steady State Rate ◽  
State Rate ◽  
Si Films

ABSTRACTThe crystallisation behaviour of LPCVD silicon films has been investigated by TEM from in situ isothermal annealing of undoped a-Si films deposited from disilane (Si2H6) at temperatures 450,465 and 480 °C and at gas pressure of 200 MTorr. Nucleation kinetics, grain growth rates and crystallisation kinetics were determined for temperatures ranging from 600 to 675 °C. Nucleation kinetics have been experimentally determined in the early first stages of annealing : they do not show any steady-state rate and are fitted according to a power law. Experimental data for crystallisation kinetics are fitted by an Avrami law without introducing any incubation time.

scholarly journals Calcium-induced dissociation of human plasma factor XIII and the appearance of catalytic activity

1974 ◽  
Vol 141 (3) ◽  
pp. 683-691 ◽  
Author(s):  
Rodney D. Cooke
Keyword(s):  
Steady State ◽  
Protein Concentration ◽  
Factor Xiiia ◽  
Lag Phase ◽  
Conformation Change ◽  
Platelet Factor ◽  
Plasma Enzyme ◽  
Plasma Factor ◽  
Steady State Rate ◽  
State Rate

1. The Ca2+dependence of the activity of plasma Factor XIIIa was studied by using the continuous assay based on the incorporation of dansylcadaverine into dephosphorylated acetylated β-casein (β-substrate). The Km for Ca2+is about 0.170mm. 2. At low concentrations of Ca2+there was a lag in attaining the steady-state rate. The size of the lag was decreased and eventually abolished if the enzyme was preincubated with a high concentration of Ca2+before assay. The concentration of Ca2+required to decrease the lag phase by 50% in 10min depended on the protein concentration: at 0.87mg of protein/ml it required 17mm-Ca2+and at 0.44mg/ml it needed 10mm-Ca2+. 3. The concentrations of Ca2+required either to abolish the lag phase in the appearance of enzyme activity or to activate the essential thiol for reaction with 5,5′-dithiobis-(2-nitrobenzoate) in 10min incubation were similar at the same protein concentration. This indicated that Ca2+induces a conformation change that is responsible for both phenomena. A model is proposed that links this conformation change to the dissociation of the tetrameric enzyme. 4. This was supported by the observation that the addition of excess of b chains to the Factor XIIIa (a′2b2) increased the concentration of Ca2+required to expose the reactive thiol, and inhibited the Ca2+-dependent aggregation of a′ chains. 5. Platelet Factor XIIIa (a′2) was inhibited by 5,5′-dithiobis-(2-nitrobenzoate) in the absence of Ca2+, and no lag phases were observed in attaining the steady-state rate at low Ca2+concentrations, thus confirming the model for the activation of the plasma enzyme. 6. The Ca2+dependence of platelet Factor XIIIa indicated that Ca2+has an additional role in the enzyme mechanism of the plasma enzyme, perhaps being involved in substrate binding. 7. The dependence of the stability of plasma Factor XIIIa on Ca2+and protein concentration indicates that the decay in activity is related to the tetramer dissociation. 8. β-Substrate decreased the Ca2+concentration required for (1) abolition of the lag phase and (2) enzyme inhibition by thiol reagents. The effect on the former is greater than on the latter. 9. The role of the b chains of the plasma Factor and the evolutionary significance of the plasma and platelet Factors are considered.

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