Stochastic Models for Second‐Order Chemical Reaction Kinetics. Time Course of Reactions

1967 ◽  
Vol 46 (5) ◽  
pp. 1626-1645 ◽  
Author(s):  
I. G. Darvey ◽  
B. W. Ninham
Keyword(s):  
Reaction Kinetics ◽  
Chemical Reaction ◽  
Stochastic Models ◽  
Time Course ◽  
Second Order ◽  
Chemical Reaction Kinetics ◽  
Order Chemical Reaction

Normal approximations for distributions arising in the stochastic approach to chemical reaction kinetics

1981 ◽  
Vol 18 (01) ◽  
pp. 263-267 ◽  
Author(s):  
F. D. J. Dunstan ◽  
J. F. Reynolds
Keyword(s):  
Reaction Kinetics ◽  
Chemical Reactions ◽  
Chemical Reaction ◽  
Stochastic Approach ◽  
Algebraic Functions ◽  
Chemical Reaction Kinetics ◽  
Normal Approximations ◽  
Formal Solutions

Earlier stochastic analyses of chemical reactions have provided formal solutions which are unsuitable for most purposes in that they are expressed in terms of complex algebraic functions. Normal approximations are derived here for solutions to a variety of reactions. Using these, it is possible to investigate the level at which the classical deterministic solutions become inadequate. This is important in fields such as radioimmunoassay.

Penetration theory for gas absorption accompanied by a second order chemical reaction

AIChE Journal ◽  
1961 ◽  
Vol 7 (2) ◽  
pp. 226-231 ◽  
Author(s):  
P. L. T. Brian ◽  
J. F. Hurley ◽  
E. H. Hasseltine
Keyword(s):  
Chemical Reaction ◽  
Second Order ◽  
Gas Absorption ◽  
Order Chemical Reaction

Biocompatibility and chemical reaction kinetics of injectable, settable polyurethane/allograft bone biocomposites

2012 ◽  
Vol 8 (12) ◽  
pp. 4405-4416 ◽  
Author(s):  
Jonathan M. Page ◽  
Edna M. Prieto ◽  
Jerald E. Dumas ◽  
Katarzyna J. Zienkiewicz ◽  
Joseph C. Wenke ◽  
...  
Keyword(s):  
Reaction Kinetics ◽  
Chemical Reaction ◽  
Allograft Bone ◽  
Chemical Reaction Kinetics ◽  
Kinetics Of

scholarly journals The rate of the deoxygenation reaction limits myoglobin- and hemoglobin-facilitated O2 diffusion in cells

2012 ◽  
Vol 112 (9) ◽  
pp. 1466-1473 ◽  
Author(s):  
Volker Endeward
Keyword(s):  
Skeletal Muscle ◽  
Reaction Kinetics ◽  
Chemical Reaction ◽  
Diffusion Path ◽  
Red Cells ◽  
Cardiac Muscle Cells ◽  
Chemical Reaction Kinetics ◽  
Human Red Blood Cells ◽  
Intracellular Diffusion ◽  
O2 Diffusion

A mathematical model describing facilitation of O2 diffusion by the diffusion of myoglobin and hemoglobin is presented. The equations are solved numerically by a finite-difference method for the conditions as they prevail in cardiac and skeletal muscle and in red cells without major simplifications. It is demonstrated that, in the range of intracellular diffusion distances, the degree of facilitation is limited by the rate of the chemical reaction between myglobin or hemoglobin and O2. The results are presented in the form of relationships between the degree of facilitation and the length of the diffusion path on the basis of the known kinetics of the oxygenation-deoxygenation reactions. It is concluded that the limitation by reaction kinetics reduces the maximally possible facilitated oxygen diffusion in cardiomyoctes by ∼50% and in skeletal muscle fibers by ∼ 20%. For human red blood cells, a reduction of facilitated O2 diffusion by 36% is obtained in agreement with previous reports. This indicates that, especially in cardiomyocytes and red cells, chemical equilibrium between myoglobin or hemoglobin and O2 is far from being established, an assumption that previously has often been made. Although the “O2 transport function” of myoglobin in cardiac muscle cells thus is severely limited by the chemical reaction kinetics, and to a lesser extent also in skeletal muscle, it is noteworthy that the speed of release of O2 from MbO2, the “storage function,” is not limited by the reaction kinetics under physiological conditions.

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