scholarly journals Single-molecule chemical reaction reveals molecular reaction kinetics and dynamics

2014 ◽  
Vol 5 (1) ◽  
Author(s):  
Yuwei Zhang ◽  
Ping Song ◽  
Qiang Fu ◽  
Mingbo Ruan ◽  
Weilin Xu
1981 ◽  
Vol 18 (01) ◽  
pp. 263-267 ◽  
Author(s):  
F. D. J. Dunstan ◽  
J. F. Reynolds

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.


ACS Catalysis ◽  
2017 ◽  
Vol 7 (4) ◽  
pp. 2967-2972 ◽  
Author(s):  
Tao Chen ◽  
Sheng Chen ◽  
Ping Song ◽  
Yuwei Zhang ◽  
Hongyang Su ◽  
...  

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

2008 ◽  
Vol 45 ◽  
pp. 41-56 ◽  
Author(s):  
Ramon Grima ◽  
Santiago Schnell

In the past decade, advances in molecular biology such as the development of non-invasive single molecule imaging techniques have given us a window into the intricate biochemical activities that occur inside cells. In this chapter we review four distinct theoretical and simulation frameworks: (i) non-spatial and deterministic, (ii) spatial and deterministic, (iii) non-spatial and stochastic and (iv) spatial and stochastic. Each framework can be suited to modelling and interpreting intracellular reaction kinetics. By estimating the fundamental length scales, one can roughly determine which models are best suited for the particular reaction pathway under study. We discuss differences in prediction between the four modelling methodologies. In particular we show that taking into account noise and space does not simply add quantitative predictive accuracy but may also lead to qualitatively different physiological predictions, unaccounted for by classical deterministic models.


2012 ◽  
Vol 112 (9) ◽  
pp. 1466-1473 ◽  
Author(s):  
Volker Endeward

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.


2012 ◽  
pp. 113-166 ◽  
Author(s):  
Jasim Ahmed ◽  
Kirk Dolan ◽  
Dharmendra Mishra

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