Mathematical modeling of chemical reactions in microreactors

Modeling and Simulating Chemical Reactions

Many students are familiar with the idea of modeling chemical reactions in terms of ordinary differential equations. However, these deterministic reaction rate equations are really a certain large-scale limit of a sequence of finer-scale probabilistic models. In studying this hierarchy of models, students can be exposed to a range of modern ideas in applied and computational mathematics. This a...

Quantum Chemical Cluster Modeling of Enzymatic Reactions

........................................................................................................................ 5 Abbreviations ............................................................................................................. 11 Amino acid abbreviations .......................................................................................... 12 Chapter

Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors

This paper presents a two-dimensional-in-space mathematical model of biosensors based on an array of enzyme microreactors immobilised on a single electrode. The modeling system acts under amperometric conditions. The microreactors were modeled by particles and by strips. The model is based on the diffusion equations containing a nonlinear term related to the Michaelis-Menten kinetics of the enz...

Rates of Chemical Reactions: Their Measurement and Mathematical Expressions

Mathematical Methods for Modeling Chemical Reaction Networks

Cancer's cellular behavior is driven by alterations in the processes that cells use to sense and respond to diverse stimuli. Underlying these processes are a series of chemical processes (enzyme-substrate, protein-protein, etc.). Here we introduce a set of mathematical techniques for describing and characterizing these processes.