Literature DB >> 8819753

Extending the quasi-steady state approximation by changing variables.

J A Borghans1, R J de Boer, L A Segel.   

Abstract

The parameter domain for which the quasi-steady state assumption is valid can be considerably extended merely by a simple change of variable. This is demonstrated for a variety of biologically significant examples taken from enzyme kinetics, immunology and ecology.

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Year:  1996        PMID： 8819753     DOI： 10.1007/bf02458281

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN： 0092-8240            Impact factor:   1.758


  8 in total

1.  On the validity of the steady state assumption of enzyme kinetics.

Authors:  L A Segel
Journal:  Bull Math Biol       Date:  1988       Impact factor: 1.758

2.  Kinetic behavior at high enzyme concentrations. Magnitude of errors of Michelis-Menten and other approximations.

Authors:  S Cha
Journal:  J Biol Chem       Date:  1970-09-25       Impact factor: 5.157

3.  Kinetics of cyclic enzyme systems.

Authors:  S Cha; C J Cha
Journal:  Mol Pharmacol       Date:  1965-09       Impact factor: 4.436

4.  T cell repertoires and competitive exclusion.

Authors:  R J De Boer; A S Perelson
Journal:  J Theor Biol       Date:  1994-08-21       Impact factor: 2.691

5.  The hypercycle. A principle of natural self-organization. Part A: Emergence of the hypercycle.

Authors:  M Eigen; P Schuster
Journal:  Naturwissenschaften       Date:  1977-11

6.  THE MECHANISM OF ENZYME-INHIBITOR-SUBSTRATE REACTIONS : ILLUSTRATED BY THE CHOLINESTERASE-PHYSOSTIGMINE-ACETYLCHOLINE SYSTEM.

Authors:  A Goldstein
Journal:  J Gen Physiol       Date:  1944-07-20       Impact factor: 4.086

7.  A minimal model for T-cell vaccination.

Authors:  J A Borghans; R J De Boer
Journal:  Proc Biol Sci       Date:  1995-02-22       Impact factor: 5.349

8.  ZONE BEHAVIOR OF ENZYMES : ILLUSTRATED BY THE EFFECT OF DISSOCIATION CONSTANT AND DILUTION ON THE SYSTEM CHOLINESTERASE-PHYSOSTIGMINE.

Authors:  O H Straus; A Goldstein
Journal:  J Gen Physiol       Date:  1943-07-20       Impact factor: 4.086
  8 in total
  48 in total

1.  Competition for antigenic sites during T cell proliferation: a mathematical interpretation of in vitro data.

Authors:  J A Borghans; L S Taams; M H Wauben; R J de Boer
Journal:  Proc Natl Acad Sci U S A       Date:  1999-09-14       Impact factor: 11.205

2.  Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions.

Authors:  I Stoleriu; F A Davidson; J L Liu
Journal:  J Math Biol       Date:  2003-08-20       Impact factor: 2.259

3.  Reaction diffusion model of the enzymatic erosion of insoluble fibrillar matrices.

Authors:  Abraham R Tzafriri; Michel Bercovier; Hanna Parnas
Journal:  Biophys J       Date:  2002-08       Impact factor: 4.033

4.  Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions.

Authors:  I Stoleriu; F A Davidson; J L Liu
Journal:  J Math Biol       Date:  2004-08-20       Impact factor: 2.259

5.  Proto-organism kinetics: evolutionary dynamics of lipid aggregates with genes and metabolism.

Authors:  Steen J Rasmussen; Liaohai Chen; Bärbel M R Stadler; Peter F Stadler
Journal:  Orig Life Evol Biosph       Date:  2004-02       Impact factor: 1.950

Review 6.  Classic and contemporary approaches to modeling biochemical reactions.

Authors:  William W Chen; Mario Niepel; Peter K Sorger
Journal:  Genes Dev       Date:  2010-09-01       Impact factor: 11.361

7.  General mathematical formula for near equilibrium relaxation kinetics of basic enzyme reactions and its applications to find conformational selection steps.

Authors:  Tsuyoshi Egawa; Robert Callender
Journal:  Math Biosci       Date:  2019-03-29       Impact factor: 2.144

8.  Understanding the failure of CD8+ T-cell vaccination against simian/human immunodeficiency virus.

Authors:  Rob J De Boer
Journal:  J Virol       Date:  2007-01-03       Impact factor: 5.103

9.  Stochastic simulation of enzyme-catalyzed reactions with disparate timescales.

Authors:  Debashis Barik; Mark R Paul; William T Baumann; Yang Cao; John J Tyson
Journal:  Biophys J       Date:  2008-07-11       Impact factor: 4.033

10.  Introducing total substrates simplifies theoretical analysis at non-negligible enzyme concentrations: pseudo first-order kinetics and the loss of zero-order ultrasensitivity.

Authors:  Morten Gram Pedersen; Alberto Maria Bersani
Journal:  J Math Biol       Date:  2009-03-31       Impact factor: 2.259
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