Numerical solution of the problem of modeling a biporous sorbent with Bectangular isotherm 3. Kinetics of the filling of finite-dimensional grains

1981 ◽  
Vol 30 (12) ◽  
pp. 2220-2225
Author(s):  
P. P. Zolotarev ◽  
P. P. Gladyshev ◽  
V. Sh. Mamleev ◽  
L. I. Kataeva
Keyword(s):  
Numerical Solution ◽  
Finite Dimensional ◽  
Biporous Sorbent ◽  
Kinetics Of

scholarly journals Thermodynamics and kinetics of the F o F 1 -ATPase: application of the probability isotherm

2016 ◽  
Vol 3 (2) ◽  
pp. 150379 ◽  
Author(s):  
Brian Chapman ◽  
Denis Loiselle
Keyword(s):  
Free Energy ◽  
Numerical Solution ◽  
Atp Synthesis ◽  
Enzyme Activation ◽  
Thermodynamic Efficiency ◽  
Second Law ◽  
Metabolic Rates ◽  
Thermodynamics And Kinetics ◽  
Rotary Mechanism ◽  
Kinetics Of

We use the results of recent publications as vehicles with which to discuss the thermodynamics of the proton-driven mitochondrial F o F 1 -ATP synthase, focusing particularly on the possibility that there may be dissociation between rotatory steps and ATP synthesis/hydrolysis. Such stoichiometric ‘slippage’ has been invoked in the literature to explain observed non-ideal behaviour. Numerical solution of the Rate Isotherm (the kinetic equivalent of the more fundamental Probability Isotherm) suggests that such ‘slippage’ is an unlikely explanation; instead, we suggest that the experimental results may be more consistent with damage to the enzyme caused by its isolation from the biomembrane and its experimental fixation, resulting in non-physiological friction within the enzyme's rotary mechanism. We emphasize the unavoidable constraint of the Second Law as instantiated by the obligatory dissipation of Gibbs Free Energy if the synthase is to operate at anything other than thermodynamic equilibrium. We use further numerical solution of the Rate Isotherm to demonstrate that there is no necessary association of low thermodynamic efficiency with high metabolic rates in a bio-world in which the dominating mechanism of metabolic control is multifactorial enzyme activation.

Adsorption Kinetics of Toluene on Soil Agglomerates:  Soil as a Biporous Sorbent

1996 ◽  
Vol 30 (5) ◽  
pp. 1500-1507 ◽  
Author(s):  
Marco A. Arocha ◽  
Alan P. Jackman ◽  
Ben J. McCoy
Keyword(s):  
Adsorption Kinetics ◽  
Biporous Sorbent ◽  
Kinetics Of

A Mixed-Mode Model Considering Soft Impingement Effects for Solid-State Partitioning Phase Transformations

2011 ◽  
Vol 172-174 ◽  
pp. 561-566 ◽  
Author(s):  
Hao Chen ◽  
Sybrand van der Zwaag
Keyword(s):  
Phase Transformation ◽  
Solid State ◽  
Numerical Solution ◽  
Phase Transformations ◽  
Concentration Gradient ◽  
Mixed Mode ◽  
Original Model ◽  
Polynomial Method ◽  
Soft Impingement ◽  
Kinetics Of

The original mixed-mode model is reformulated by considering the soft impingement effect and applying a general polynomial method of dealing with the concentration gradient in front of the interface. Comparison with the numerical solution shows that the reformulated mixed-mode model is more precise than the original model. The effect of soft impingement on the kinetics of partitioning phase transformation depends on both the growth mode and the degree of super-saturation.

scholarly journals A numerical solution to Monge’s problem with a Finsler distance as cost

2018 ◽  
Vol 52 (6) ◽  
pp. 2133-2148 ◽  
Author(s):  
Jean-David Benamou ◽  
Guillaume Carlier ◽  
Roméo Hatchi
Keyword(s):  
Saddle Point ◽  
Numerical Solution ◽  
Augmented Lagrangian ◽  
Optimal Transport ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Finite Dimensional ◽  
Quadratic Cost ◽  
Augmented Lagrangian Approach ◽  
Well Posed

Monge’s problem with a Finsler cost is intimately related to an optimal ow problem. Discretization of this problem and its dual leads to a well-posed finite-dimensional saddle-point problem which can be solved numerically relatively easily by an augmented Lagrangian approach in the same spirit as the Benamou–Brenier method for the optimal transport problem with quadratic cost. Numerical results validate the method. We also emphasize that the algorithm only requires elementary operations and in particular never involves evaluation of the Finsler distance or of geodesics.

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