Analysis of Dynamics of a Biphasic Isothermal DNA Amplification Reaction

DOI10.1137/19M1268434zbMath1448.92073OpenAlexW3084282959MaRDI QIDQ5123488

Stephanie McCalla, Danielle Ciesielski, Tomáš Gedeon

Publication date: 29 September 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1268434

zbMATH Keywords

kinetic modelsystems biologyDNA amplification

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• A constructive approach to quasi-steady state reductions
• Phase-plane geometries in coupled enzyme assays
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics
• Characteristic, completion or matching timescales? An analysis of temporary boundaries in enzyme kinetics
• Determining ``small parameters for quasi-steady state
• The Quasi-Steady-State Assumption: A Case Study in Perturbation

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