Toward accommodating realistic fuel chemistry in large-scale computations

T Lu, CK Law - Progress in Energy and Combustion Science, 2009 - Elsevier
The need and prospect of incorporating realistic fuel chemistry in large-scale simulations of
combustion phenomena and combustor performance are reviewed. The review first …

[PDF][PDF] Simplification of mathematical models of chemical reaction systems

MS Okino, ML Mavrovouniotis - Chemical reviews, 1998 - Citeseer
Detailed modeling of complex reaction systems is becoming increasingly important in the
development, analysis, design, and control of chemical reaction processes. For industrial …

Methods of model reduction for large-scale biological systems: a survey of current methods and trends

TJ Snowden, PH van der Graaf, MJ Tindall - Bulletin of mathematical …, 2017 - Springer
Complex models of biochemical reaction systems have become increasingly common in the
systems biology literature. The complexity of such models can present a number of …

Mathematical tools for the construction, investigation and reduction of combustion mechanisms

AS Tomlin, T Turányi, MJ Pilling - Comprehensive chemical kinetics, 1997 - Elsevier
Publisher Summary Chemical mechanisms have been employed in hydrocarbon
combustion as a means of understanding the underlying phenomenology of the combustion …

Method of invariant manifold for chemical kinetics

AN Gorban, IV Karlin - Chemical Engineering Science, 2003 - Elsevier
In this paper, we review the construction of low-dimensional manifolds of reduced
description for equations of chemical kinetics from the standpoint of the method of invariant …

A reduced mechanism for biodiesel surrogates for compression ignition engine applications

Z Luo, M Plomer, T Lu, S Som, DE Longman… - Fuel, 2012 - Elsevier
A skeletal mechanism with 115 species and 460 reactions for a tri-component biodiesel
surrogate, which consists of methyl decanoate, methyl 9-decenoate and n-heptane, was …

Whole-body physiologically based pharmacokinetic models

I Nestorov - Expert opinion on drug metabolism & toxicology, 2007 - Taylor & Francis
This review summarizes the most recent developments in and applications of physiologically
based pharmacokinetic (PBPK) modeling methodology originating from both the …

Multi-shock and soliton solutions of the Burgers equation employing Darboux transformation with the help of the Lax pair

D Saha, P Chatterjee, S Raut - Pramana, 2023 - Springer
The purpose of this article is to derive a class of multi-soliton solutions of the Burgers
equation employing Darboux transformation with the help of the Lax pair. By means of an …

[PDF][PDF] A review of algorithms and trends in kinetic model identification for chemical and biochemical systems

G Maria - Chemical and Biochemical Engineering Quarterly, 2004 - researchgate.net
Simulation of complex (bio) chemical reactions plays an important role in a process kinetics
characterisation. However, detailed kinetic modelling is a difficult task because the model …

Invariant manifold methods for metabolic model reduction

MR Roussel, SJ Fraser - Chaos: An Interdisciplinary Journal of …, 2001 - pubs.aip.org
After the decay of transients, the behavior of a set of differential equations modeling a
chemical or biochemical system generally rests on a low-dimensional surface which is an …