Reference health

The Quasi-Steady-State Assumption: A Case Study in Perturbation

https://doi.org/10.1137/1031091
CiteStamped reference-health badge
18/18 checkable references clean · checked 2026-09-06

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

19 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 18 checked references that resolve
resolves10.1016/0009-2509(63)85003-4
Singular perturbation refinement to quasi-steady state approximation in chemical kinetics
resolves10.1042/bj0190338
A Note on the Kinetics of Enzyme Action
resolves10.1007/978-1-4612-5929-9
Applications of Centre Manifold Theory
resolves10.1137/1012041
Singular Perturbation Theory and Geophysics
resolves10.1007/BF01389585
On transformations of graded matrices, with applications to stiff ODE's
resolves10.1007/BF00276148
Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios
resolves10.1007/978-3-642-80885-2_33
Geometrical Aspects of the Pseudo Steady State Hypothesis in Enzyme Reactions
resolves10.1016/0025-5564(67)90029-6
On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics
resolves10.1016/0301-4622(83)85001-7
Simplifying principles for chemical and enzyme reaction kinetics
resolves10.1139/v55-195
THEORY OF THE TRANSIENT PHASE IN KINETICS, WITH SPECIAL REFERENCE TO ENZYME SYSTEMS
resolves10.1016/0093-6413(78)90040-X
A formal method for matched asymptotic expansions applied to the field-noyes model of the Belousov-Zhabotinskii reaction
resolves10.1016/0022-5193(79)90235-2
Analysis of the quasi-steady-state approximation for an enzymatic one-substrate reaction
resolves10.1137/1014099
Simplification and Scaling
resolves10.1016/S0092-8240(88)80057-0
On the validity of the steady state assumption of enzyme kinetics
resolves10.1007/BF00535748
Analytical solutions of a simple enzyme kinetic problem by a perturbative procedure
resolves10.1016/B978-0-12-152802-7.50013-X
Concentrations of Metabolites and Binding Sites. Implications in Metabolic Regulation
resolves10.1016/0022-5193(79)90333-3
A computer analysis of the validity of the integrated Michaelis-Menten equation
resolves10.1021/ja01086a032
On the Steady-State Method of Enzyme Kinetics
The 19 references without a DOI — listed, not checked
no DOI — not checkedReaction-diffusion equations and their applications to biology
no DOI — not checkedEarl Coddington, Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955, 3–716,1022b0064.33002
no DOI — not checkedNumerical Integration of Differential Equations
no DOI — not checkedAsymptotic Methods in Analysis
no DOI — not checkedMatched asymptotic expansions and singular perturbations
no DOI — not checkedEnzyme Structure and Mechanism
no DOI — not checkedLois générates de laction des diastases
no DOI — not checkedMathematical Models in Physical Sciences
no DOI — not checkedPrinciples of Biochemistry
no DOI — not checkedMathematics Applied to Deterministic Problems in the Natural Sciences
no DOI — not checkedR21
no DOI — not checkedLectures on Nonlinear-Differential-Equation Models in Biology
no DOI — not checkedK. Nipp, Masters Thesis, An algorithmic approach to singular perturbation problems in ordinary differential equations with an application to the Belousov-Zhabotinskii reaction, Ph.D. dissertation ETH6643, Swiss Federal Institute of Technology, Zurich, 1980
no DOI — not checkedBIOGRAPH. A graphical simulation package with exercises to accompany Lee A. Segel's “Modeling Dynamic Phenomenon in Molecular and Cellular Biology”
no DOI — not checkedH. Parnas, M. Flashner, M. Spira, A sequential model to describe the nicotinic synaptic current. Biophys. 1, in press
no DOI — not checkedR27
no DOI — not checkedIntroduction to Mathematical Biology
no DOI — not checkedModeling dynamic phenomena in molecular and cellular biology
no DOI — not checkedM. Zu-fan, Partioning a stiff ordinary differential system by a scaling technique, Report, TRITA-NA-8210, Department of Numerical Analysis and Computer Science, Royal Institute of Technology, S-100 44 Stockholm 70, Sweden, 1982
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

checked 2026-09-06 — re-checked daily as this page is visited; titles and statuses come from Crossref and DataCite and are not part of the signed record

view as graph · paper page

Embed this badge

Both snippets point at the live badge image and link back to this page. The badge re-renders from the daily check, so an embed never goes stale by more than a day of visits.

<a href="https://citestamp.com/citestamped/10.1137/1031091"><img src="https://citestamp.com/citestamped/10.1137/1031091/badge.svg" alt="CiteStamped reference-health badge" width="460" height="64"></a>
[![CiteStamped reference-health badge](https://citestamp.com/citestamped/10.1137/1031091/badge.svg)](https://citestamp.com/citestamped/10.1137/1031091)