Minimal Reaction Systems

2012 ◽  
pp. 102-122 ◽  
Author(s):  
Andrzej Ehrenfeucht ◽  
Jetty Kleijn ◽  
Maciej Koutny ◽  
Grzegorz Rozenberg
Keyword(s):  
Reaction Systems

EXISTENCE AND INVARIANCE FOR CONVECTION, DISPERSION, REACTION SYSTEMS WITH PRESSURE

1992 ◽  
Vol 12 (4) ◽  
pp. 443-456 ◽  
Author(s):  
Chunhong Xie ◽  
Taiping He ◽  
Guohong Bai
Keyword(s):  
Reaction Systems

scholarly journals SiCaSMA: An Alternative Stochastic Description via Concatenation of Markov Processes for a Class of Catalytic Systems

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1074
Author(s):  
Vincent Wagner ◽  
Nicole Erika Radde
Keyword(s):  
Reaction System ◽  
Stochastic Simulation Algorithm ◽  
Test Bed ◽  
Biochemical Reaction Networks ◽  
Full System ◽  
Catalytic Systems ◽  
Reaction Systems ◽  
Sample Paths ◽  
Alternative Description ◽  
Linear Differential

The Chemical Master Equation is a standard approach to model biochemical reaction networks. It consists of a system of linear differential equations, in which each state corresponds to a possible configuration of the reaction system, and the solution describes a time-dependent probability distribution over all configurations. The Stochastic Simulation Algorithm (SSA) is a method to simulate sample paths from this stochastic process. Both approaches are only applicable for small systems, characterized by few reactions and small numbers of molecules. For larger systems, the CME is computationally intractable due to a large number of possible configurations, and the SSA suffers from large reaction propensities. In our study, we focus on catalytic reaction systems, in which substrates are converted by catalytic molecules. We present an alternative description of these systems, called SiCaSMA, in which the full system is subdivided into smaller subsystems with one catalyst molecule each. These single catalyst subsystems can be analyzed individually, and their solutions are concatenated to give the solution of the full system. We show the validity of our approach by applying it to two test-bed reaction systems, a reversible switch of a molecule and methyltransferase-mediated DNA methylation.

Fenton-like reaction system with an analyte-activated catfish effect for enhanced colorimetric and photothermal dopamine bioassay

The Analyst ◽  
2020 ◽  
Author(s):  
Zhengrong Niu ◽  
Hong-Hong Rao ◽  
Xin Xue ◽  
Mingyue Luo ◽  
Xiuhui Liu ◽  
...  
Keyword(s):  
Reactive Oxygen Species ◽  
Advanced Oxidation Processes ◽  
Reaction System ◽  
Reactive Oxygen ◽  
Advanced Oxidation ◽  
Oxygen Species ◽  
Reaction Systems ◽  
Oxidation Processes

Fenton-like reaction systems have been proven to be more efficient as the powerful promoters in advanced oxidation processes (AOPs) due to their resultantly generated reactive oxygen species (ROS) such as...

scholarly journals Control of reaction systems using decoupled dynamics via perturbed Hamiltonian formulation

2020 ◽  
Vol 53 (2) ◽  
pp. 11527-11532
Author(s):  
Nguyen Thanh Sang ◽  
Tan Chee Keong ◽  
Hoang Ngoc Ha ◽  
Mohd Azlan, Hussain
Keyword(s):  
Hamiltonian Formulation ◽  
Reaction Systems
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