The Michaelis-Menten model
Optimal designs for the Michaelis Menten model with correlated observations
... January 19, 2012 Abstract In this paper we investigate the problem of designing experiments for weighted least squares analysis in the Michaelis Menten model. We study the structure of exact ...
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An application of the Michaelis–Menten model to analyze the curing process of cold recycled bituminous mixtures
... The curing process was analyzed by measuring the evo- lution of moisture loss by evaporation (DW), indirect ten- sile stiffness modulus (ITSM) and indirect tensile strength (ITS), then the experimental results were ...
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A simple confidence band for the Michaelis-Menten equation
... 7. Achcar, JA, de Cássia Favoretti, A and Mazucheli, J, "Approximate Baysian analysis for the Michaelis-Menten model", Journal of the Chilean Statistical Society 1996; 13: 1-23. 8. Cornish-Bowden, A ...
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Michaelis-Menten from an In Vivo Perspective: Open Versus Closed Systems
... Michealis- Menten model, ...open Michaelis-Menten system and compare them to the traditional closed Michaelis- Menten ...open-system Michaelis-Menten model ...
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Optimal design for goodness-of-fit of the Michaelis-Menten enzyme kinetic function
... nonlinear model can be a challenging task in ...logistic model to ensure symmetry in the variance ...the model, the researcher can use the design to perform a lack of fit ...the ...
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On the relationships between the Michaelis–Menten kinetics, reverse Michaelis–Menten kinetics, equilibrium chemistry approximation kinetics, and quadratic kinetics
... microbial model, the substrate kinetics is fundamental as it describes the rate at which microbes would take up a substrate and represents the first step towards de- scribing how microbes would decompose the soil ...
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The influence of commensalism on a Lotka–Volterra commensal symbiosis model with Michaelis–Menten type harvesting
... – qEx m 1 E + m 2 x . (1.3) Similarly to the analysis of Idlangoa, Shepherd and Gear ([40], page 83), one could see that the model (1.3) may admit zero, one or two positive equilibrium. That is, by introducing the ...
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Keywords predator-prey system with Michaelis-Menten functional response
... Besides, for insects with non-overlapping generations, predator-prey system can be modeled in a discrete-time form and numerical computation also requires to discretize a continuous-time model (He and Lai, 2011; ...
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On the existence and stability of positive periodic solution of a nonautonomous commensal symbiosis model with Michaelis-Menten type harvesting
... Abstract. A non-autonomous commensal symbiosis model of two populations with Michaelis-Menten type har- vesting is proposed and studied in this paper. By using a continuation theorem based on Gaines ...
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On Single Compartment Pharmacokinetic Model Systems that Obey Michaelis Menten Kinetics and Systems that Obey Krebs Cycle Kinetics
... of Michaelis-Menten kinetics results in a trancedental ...the model solutions is ...concentration, Michaelis constant and the desired accuracy level ...compartment model solution was ...
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Stability and bifurcation analysis of two species amensalism model with Michaelis–Menten type harvesting and a cover for the first species
... MSC: 34C25; 92D25; 34D20; 34D40 Keywords: Amensalism model; Nonlinear harvesting; Cover; Bifurcation analysis 1 Introduction Amensalism and commensalism are common relations between the species. Here, amen- salism ...
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Developing the enzyme-machine analogy: a non-mathematical approach to teaching Michaelis-Menten kinetics
... Of course, this model is an idealization in at least two respects. First, some enzymes do not carry out the same process every catalytic cycle either because of the possibility of binding different substrates (for ...
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptotically stable by analyzing the distribution of characteristic ...
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Effects of Estrogen Contamination on Human Cells: Modeling and Prediction Based on Michaelis Menten Kinetics
... More precisely, an alarm is triggered when the concen- tration of estrogen exceeds certain value. This value is determined by studying a predicted human cells response to estrogen stimulation. This prediction is then ...
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Mathematical Analysis of Diffusion and Kinetics of Immobilized Enzyme Systems that Follow the Michaelis – Menten Mechanism
... the Michaelis-Menten mechanism for both reversible and irreversible reactions are ...This model is based on the diffusion equations containing the non- linear term related to ...
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Reaction/Diffusion Equation with Michaelis-Menten Kinetics in Microdisk Biosensor: Homotopy Perturbation Method Approach
... state model of a microdisk enzyme based biosensor where the enzyme reacts directly on the electrode ...The model is based on diffusion equation containing a non-linear term related to ...
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Analysis of non linear reaction diffusion processes with Michaelis Menten kinetics by a new Homotopy perturbation method
... Copyright © 2013 Devaraj Shanthi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided ...
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Heteroclinic Bifurcation and Multistability in a Ratio-dependent Predator-Prey System with Michaelis-Menten Type Harvesting Rate
... prey model exhibits the ”paradox of enrichment” [3, 4] which states that enriching a predator prey system (by increasing the car- rying capacity) will cause an increase in the equilibrium den- sity of the predator ...
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Uniform ultimate boundedness of solutions of predator prey system with Michaelis Menten functional response on time scales
... The methods they used were comparison theorems, coincidence degree theory, and the Lyapunov functional. Much attention has been paid to this predator-prey system or its analogs in [–, –]. In [], Fan and Li ...
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Diffusion limitations and Michaelis–Menten kinetics as drivers of combined temperature and moisture effects on carbon fluxes of mineral soils
... approximate model behaviour under specific av- erage ...the model M2-dif gives realistic values in the range of temperature for which it was calibrated but leads to unrealistic values under colder ...the ...
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