Thermodynamic performance vs. dynamic stability in an enzymatic reaction model

2010 ◽  
Vol 389 (17) ◽  
pp. 3476-3483 ◽  
Author(s):  
Orlando Díaz-Hernández ◽  
Ricardo Páez-Hernández ◽  
Moisés Santillán
Keyword(s):  
Dynamic Stability ◽  
Enzymatic Reaction ◽  
Reaction Model ◽  
Thermodynamic Performance

scholarly journals Fractal diffusion-reaction model for a porous electrode

2021 ◽  
pp. 26-26
Author(s):  
Ling Lin ◽  
Yun Qiao
Keyword(s):  
Surface Morphology ◽  
Porous Electrode ◽  
Enzymatic Reaction ◽  
Bright Light ◽  
Reaction Model ◽  
Solution Procedure ◽  
Diffusion Reaction ◽  
Fast Diffusion ◽  
Fractal Derivative ◽  
Intuitive Grasp

Fractal modifications of Fick?s laws are discussed by taking into account the electrode?s porous structure, and a fractal derivative model for diffusion-reaction process in a thin film of an amperometric enzymatic reaction is established. Particular attention is paid to giving an intuitive grasp for its fractal variational principle and its solution procedure. Extremely fast or extremely slow diffusion process can be achieved by suitable control of the electrode?s surface morphology, a sponge-like surface leads to an extremely fast diffusion, while a lotus-leaf-like uneven surface predicts an extremely slow process. This paper sheds a bright light on an optimal design of an electrode?s surface morphology.

scholarly journals Performance of a simple energetic-converting reaction model using Linear Irreversible Thermodynamics

Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1030 ◽  
Author(s):  
J. Chimal-Eguia ◽  
R. Paez-Hernandez ◽  
Delfino Ladino-Luna ◽  
Juan Velázquez-Arcos
Keyword(s):  
Energy Exchange ◽  
Chemical Potential ◽  
Biological Process ◽  
Enzymatic Reaction ◽  
Reaction Model ◽  
Irreversible Thermodynamics ◽  
Efficient Power ◽  
Degree Of Coupling ◽  
Linear Irreversible Thermodynamics ◽  
Operating Regimes

In this paper, the methodology of the so-called Linear Irreversible Thermodynamics (LIT) is applied to analyze the properties of an energetic-converting biological process using simple model for an enzymatic reaction that couples one exothermic and one endothermic reaction in the same fashion as Diaz-Hernandez et al. (Physica A, 2010, 389, 3476–3483). We extend the former analysis to consider three different operating regimes; namely, Maximum Power Output (MPO), Maximum Ecological Function (MEF) and Maximum Efficient Power Function (MEPF), respectively. Based on the later, it is possible to generalize the obtained results. Additionally, results show analogies in the optimal performance between the different optimization criteria where all thermodynamic features are determined by three parameters (the chemical potential gap Δ = μ 1 − μ 4 R T , the degree of coupling q and the efficiency η ). This depends on the election that leads to more or less efficient energy exchange.

scholarly journals Fractal–Fractional Michaelis–Menten Enzymatic Reaction Model via Different Kernels

2021 ◽  
Vol 6 (1) ◽  
pp. 13
Author(s):  
Manal Alqhtani ◽  
Khaled M. Saad
Keyword(s):  
Numerical Solutions ◽  
Enzymatic Reaction ◽  
Classical Case ◽  
Approximate Solutions ◽  
Reaction Model ◽  
Successive Approximations ◽  
Lagrange Polynomials ◽  
New Models ◽  
The Finite Difference Method ◽  
Mathematica Software

In this paper, three new models of fractal–fractional Michaelis–Menten enzymatic reaction (FFMMER) are studied. We present these models based on three different kernels, namely, power law, exponential decay, and Mittag-Leffler kernels. We construct three schema of successive approximations according to the theory of fractional calculus and with the help of Lagrange polynomials. The approximate solutions are compared with the resulting numerical solutions using the finite difference method (FDM). Because the approximate solutions in the classical case of the three models are very close to each other and almost matches, it is sufficient to compare one model, and the results were good. We investigate the effects of the fractal order and fractional order for all models. All calculations were performed using Mathematica software.

Solution method for the transformed time-dependent Michaelis–Menten enzymatic reaction model

2014 ◽  
Vol 52 (10) ◽  
pp. 2494-2506 ◽  
Author(s):  
Ronald Li ◽  
Robert A. Van Gorder ◽  
Kristina Mallory ◽  
Kuppalappalle Vajravelu
Keyword(s):  
Solution Method ◽  
Enzymatic Reaction ◽  
Reaction Model ◽  
Time Dependent
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