Chemical reaction kinetics

Chemical Reaction Kinetics: Mathematical Underpinnings

Mathematical modeling and simulation of biochemical reaction networks facilitates our understanding of metabolic and signaling processes. For closed, well-mixed reaction systems, it is straightforward to derive kinetic equations that govern the concentrations of the reactants and products. The usual way of deriving kinetic equations involves application of the principle of conservation of mass ...

Using Chemical Reaction Kinetics to Predict Optimal Antibiotic Treatment Strategies

Identifying optimal dosing of antibiotics has proven challenging-some antibiotics are most effective when they are administered periodically at high doses, while others work best when minimizing concentration fluctuations. Mechanistic explanations for why antibiotics differ in their optimal dosing are lacking, limiting our ability to predict optimal therapy and leading to long and costly experi...

Simplifying principles for chemical and enzyme reaction kinetics.

Tihonov's Theorems for systems of first-order ordinary differential equations containing small parameters in the derivatives, which form the mathematical foundation of the steady-state approximation, are restated. A general procedure for simplifying chemical and enzyme reaction kinetics, based on the difference of characteristic time scales, Is presented. Korzuhin's Theorem, which makes it poss...

Development of chemical reaction kinetics of VOC ozonation

Volatile Organic Compounds (VOCs) causes many health issues related to Indoor Air Quality (IAQ). The indoor air quality improvement has been instituted by various organizations based on the concentration level of different pollutants. Though VOCs in indoor air has various adverse health effects and are primary reason for sick building syndrome, there are only few abatement technologies currentl...

Polarimeters in research on chemical reaction kinetics, 1850-1920