Michaelis-Menten (MM) equation
Reaction/Diffusion Equation with Michaelis-Menten Kinetics in Microdisk Biosensor: Homotopy Perturbation Method Approach
... This paper presents the non steady state model of a microdisk enzyme based biosensor where the enzyme reacts directly on the electrode itself. The model is based on diffusion equation containing a non-linear term ...
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A simple confidence band for the Michaelis-Menten equation
... Some parasite GDHs, like the mammalian enzymes, are allosterically modified by nucleotides [30]. Turner et al. [27] suggested that Dirofilaria immitis has two isozymes, a mitochondrial GDH (mGDH) and a cytoplasmic form. ...
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Kinetics of methane oxidation in selected mineral soils
... by Michaelis-Menten equation with the maximum reaction rate defined as V max , and the Michaelis constant, K m , defined as the substrate concentration at which ...
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Microcalorimetric Study of Acetylcholine and Acetylthiocholine Hydrolysis by Acetylcholinesterase
... values are higher for ACh, showing that more inhibitor should be necessary to move the natural substrate of the enzyme’s active site. An alternative analysis that can save time and return more precise values is the ...
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Input-output relations in biological systems: measurement, information and the Hill equation
... The review of molecular input-output relations in biolog- ical systems by Dr. Frank, although broad and somewhat speculative, wrestles with a fundamental problem in Sys- tems biology: with what Nobel laureate Sydney ...
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Closed and Open Metabolic Cycles: Transition Time
... The close metabolic cycle (CMC) here considered contains 6 substrates and 6 enzymes, with Michaelis-Menten kinetics (Figure 1). The substrates of CMC are named as (a), (b), (c), (d), (e) and (f); for ...
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Analysis of non linear reaction diffusion processes with Michaelis Menten kinetics by a new Homotopy perturbation method
... Recently, many authors have applied the Homotopy perturbation method (HPM) to solve the non-linear bound- ary value problem in physics and engineering sciences [10-13]. Recently this method is also used to solve some of ...
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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 ...to Michaelis-Menten ...diffusion equation in immobilized enzyme ...the Michaelis constant is ...
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Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten type predator harvesting
... differential equation (ODE) type predator–prey models), the diffusion can induce more complex phenomena, such as Turing instability, spatially inhomogeneous periodic solutions, and pattern for- mation ...
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Michaelis-Menten from an In Vivo Perspective: Open Versus Closed Systems
... Equation (12) implies that in the open system, at steady state the relation between substrate concentration S and rate of Input is linear, in contrast with the relation between S and Input for the closed system ...
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Enzyme Kinetic Equations of Irreversible and Reversible Reactions in Metabolism
... the Michaelis-Menten ...irreversible equation, which is used for a reaction with one substrate, independently on if the obtained products are one, two, or ...reversible equation, which is not ...
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On the relationships between the Michaelis–Menten kinetics, reverse Michaelis–Menten kinetics, equilibrium chemistry approximation kinetics, and quadratic kinetics
... The Michaelis–Menten kinetics and the reverse Michaelis–Menten kinetics are two popular mathematical formulations used in many land biogeochemical models to describe how microbes and plants ...
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Analytical Solution of Substrate Concentration in the Biosensor Response
... constitutive equation of the ...the equation. The ob- tained non-dimensional equation is used to procure m th - order deformation equation as an important step of the procedure of the ...
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Isolation of different animal liver xanthine oxidase containing fractions and determination of kinetic parameters for xanthine
... Initial experiments to determine linearity of reaction with respect to both enzyme amount and time were conducted (data not shown). Product formation was kept to 10% or below for adherence to ...
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Dose–response time modelling : second generation turnover model with integral feedback control
... dress the biophase disposition. Both a linear rst-order and a Michaelis-Menten elimination model were successfully tted to the data. The two models had ap- proximately the same objective function values and ...
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Analytical expressions of the concentrations of substrate and product in enzyme inhibition process
... E S ES E P (2) According to scheme (2), the substrate (S) combines reversibly with the enzyme (E) to form the enzyme-sub- strate complex (ES). The complex then dissociates into product (P) and the enzyme is ...
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The fallacy of the Pcrit – are there more useful alternatives?
... partial pressure of O2 at which the rate of O2 consumption is 50% of maximal under a defined condition, in a Michaelis– Menten relationship loss of equilibrium critical oxygen tension at[r] ...
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Mechanistic studies of acetolactate decarboxylase
... Figure 5.7b shows the activity of Bacillus subtilis AlsD that was purified as described in Chap- ter 4. The activity was studied over a concentration range of 0.5-25 mM (S)-acetolactate (S)-3, as the strength of ...
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On the existence and stability of positive periodic solution of a nonautonomous commensal symbiosis model with Michaelis-Menten type harvesting
... Though there are many scholars study the predator-prey system with the Michaelis-Menten type harvesting [35]-[37], all of them are focus on the autonomous case and none of them con- sider the non-autonomous ...
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Basolateral transport of taurine in epithelial cells of isolated, perfused Mytilus californianus gills
... containing 5-hydroxytryptamine (5-HT). 5-HT stimulates the lateral cilia, causing the ASW to mix well with water at the gill surface and thus washing away labeled substrate in the fluid adhering to the external surface ...
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