Sensitivity analysis of complex kinetic systems. Tools and applications

T Turányi - Journal of mathematical chemistry, 1990 - Springer
Sensitivity analysis investigates the effect of parameter change on the solution of
mathematical models. In chemical kinetics, models are usually based on differential …

Facts and alternative facts in chemical kinetics: remarks about the kinetic use of activities, termolecular processes, and linearization techniques

G Lente - Current Opinion in Chemical Engineering, 2018 - Elsevier
Highlights•Activities should not be used instead of concentrations in a rate equation.•
Termolecular elementary steps must not be dismissed without quantitative …

Foundations of chemical reaction network theory

M Feinberg - 2019 - Springer
When I am called upon to teach fluid mechanics, I always show students a copy of Newton's
Principia. I do this for a number of reasons, not least of which is the connection I hope they …

Enzyme-free nucleic acid dynamical systems

N Srinivas, J Parkin, G Seelig, E Winfree, D Soloveichik - Science, 2017 - science.org
INTRODUCTION Embedded controllers enable complex functionality in man-made
mechanical and electronic devices. Similarly, intricate regulatory networks within living …

DNA as a universal substrate for chemical kinetics

D Soloveichik, G Seelig… - Proceedings of the …, 2010 - National Acad Sciences
Molecular programming aims to systematically engineer molecular and chemical systems of
autonomous function and ever-increasing complexity. A key goal is to develop embedded …

[图书][B] Mathematical modeling in systems biology: an introduction

BP Ingalls - 2013 - books.google.com
An introduction to the mathematical concepts and techniques needed for the construction
and analysis of models in molecular systems biology. Systems techniques are integral to …

[图书][B] The regulation of cellular systems

R Heinrich, S Schuster - 2012 - books.google.com
There is no doubt that nowadays, biology benefits greatly from mathematics. In particular,
cellular biology is, besides population dynamics, a field where tech niques of mathematical …

A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

A Mielke - Nonlinearity, 2011 - iopscience.iop.org
In recent years the theory of the Wasserstein metric has opened up new treatments of
diffusion equations as gradient systems, where the free energy or entropy take the role of the …

Global existence in reaction-diffusion systems with control of mass: a survey

M Pierre - Milan Journal of Mathematics, 2010 - Springer
The goal of this paper is to describe the state of the art on the question of global existence of
solutions to reaction-diffusion systems for which two main properties hold: on one hand, the …

[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 …