Two-Dimensional Master Equation Modeling of Some Multichannel Unimolecular Reactions

2021 ◽  
Author(s):  
Akira Matsugi
Keyword(s):  
Master Equation ◽  
Equation Modeling ◽  
Two Dimensional ◽  
Unimolecular Reactions

Full Iterative Solution of the Two-Dimensional Master Equation for Thermal Unimolecular Reactions

1996 ◽  
Vol 100 (17) ◽  
pp. 7090-7096 ◽  
Author(s):  
Stephen J. Jeffrey ◽  
Kevin E. Gates ◽  
Sean C. Smith
Keyword(s):  
Master Equation ◽  
Iterative Solution ◽  
Two Dimensional ◽  
Unimolecular Reactions

scholarly journals Insight into removals of PARAFAC components from dissolved and particulate organic matter in wastewater treatment process by two-dimensional correlation and structure equation modeling

2021 ◽  
Vol 33 (1) ◽  
Author(s):  
Benxin Yu ◽  
Dongping Liu ◽  
Jian Wang ◽  
Yingxue Sun
Keyword(s):  
Organic Matter ◽  
Wastewater Treatment ◽  
Particulate Organic Matter ◽  
Structural Equation ◽  
Treatment Process ◽  
Treatment Plant ◽  
Equation Modeling ◽  
Two Dimensional ◽  
Wastewater Treatment Process ◽  
Insight Into

Abstract Background Most particulate organic matter (POM) cannot be directly degraded in the conventional wastewater treatment, which should be transformed into dissolved organic matter (DOM) through a hydrolysis process. However, non-hydrolyzed POM in the biological treatment can limit treated efficiencies for the wastewater treatment plants (WWTPs) facilities. Hence an operational tool is indispensable for insight into removals of DOM and POM factions in the WWTP. In this study, excitation-emission matrix fluorescence spectroscopy (EEM) combined parallel factor analysis (PARAFAC), two-dimensional correlation (2D-COS) and structural equation modeling (SEM) was employed to evaluate removals of DOM and POM in a wastewater treatment plant. Results Four fluorescence components were identified in DOM and POM substances from the WWTP by EEM combined with PARAFAC, i.e., tyrosine-like (TYLF), tryptophan-like (TRLF), microbial byproduct-like (MBLF), and fulvic acid-like (FALF). In A2/O process, the TYLF and TRLF of DOM were removed to a larger extent than those of MBLF and FALF in anaerobic tank, while TYLF and MBLF of POM were removed to a great extent than those of TRLF and FALF in primary sedimentation and aerobic tanks. By the 2D-COS, a decreasing variation order of DOM fractions in the wastewater treatment process was UV-FALF → MBLF2 → Vis-FALF → TRLF → TYLF, while the decreasing order of POM fractions was Vis-FALF → UV-FALF → MBLF2 → TYLF → MBLF1 → TRLF. SEM revealed that TRLF and TYLF of DOM were degraded by anaerobic microorganism, and TRLF could be transformed partially into FALF. However, TRFL and TYLF of POM were discomposed by aerobic microorganism. Conclusions The 2D-COS and SEM can be practicable tools as EEM-PARAFAC for monitoring DOM and POM in the WWTP. The study could present a theoretical support to improving the retrofit of WWTP and formulating emission standards for organic pollutants.

Kinetic Master Equation Modeling of an Artificial Protein Pump

2016 ◽  
Vol 120 (27) ◽  
pp. 14495-14501 ◽  
Author(s):  
Yu Zhang ◽  
Cheng-Tsung Lai ◽  
Bruce J. Hinds ◽  
George C. Schatz
Keyword(s):  
Master Equation ◽  
Equation Modeling ◽  
Artificial Protein

SUPERCONFORMAL CONSTRUCTIONS ON TWO-DIMENSIONAL SIMPLICIAL COMPLEXES

1992 ◽  
Vol 07 (13) ◽  
pp. 3065-3082 ◽  
Author(s):  
M. B. HALPERN ◽  
N. A. OBERS
Keyword(s):  
Master Equation ◽  
Central Charge ◽  
Simplicial Complexes ◽  
Large Set ◽  
Two Dimensional ◽  
Infinite Class ◽  
Generic Construction

The superconformal master equation contains a large set of solvable fermionic constructions which live on an infinite class of 2-dimensional simplicial complexes. All the constructions have rational central charge, and irrational conformal weights are expected in the generic construction.

Vibrational Relaxation and Dissociation Behind Shock Waves Part 2: Master Equation Modeling

AIAA Journal ◽  
1995 ◽  
Vol 33 (6) ◽  
pp. 1070-1075 ◽  
Author(s):  
Igor V. Adamovich ◽  
Sergey O. Macheret ◽  
J. William Rich ◽  
Charles E. Treanors
Keyword(s):  
Shock Waves ◽  
Master Equation ◽  
Vibrational Relaxation ◽  
Equation Modeling
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