The polymerase chain reaction model analyzed by the homotopy perturbation method

DOI10.1007/S10910-018-00998-8zbMath1414.92142OpenAlexW2916555714WikidataQ128384154 ScholiaQ128384154MaRDI QIDQ2419209

Alexey Alexandrovich Fedorov, Alexander S. Berdnikov, Vladimir E. Kurochkin

Publication date: 29 May 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-018-00998-8

zbMATH Keywords

enzyme kineticsapproximate analytical solutionhomotopy perturbation methodpolymerase chain reaction model

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Perturbations of ordinary differential equations (34D10)

Related Items (3)

Solving nonlinear reaction-diffusion problem in electrostatic interaction with reaction-generated ph change on the kinetics of immobilized enzyme systems using Taylor series method ⋮ Homotopy perturbation method for Fangzhu oscillator ⋮ The role of a priori estimates in the method of non-local continuation of solution by parameter

Cites Work

• Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry
• Application of He's variational iteration method to Helmholtz equation
• Some notes on using the homotopy perturbation method for solving time-dependent differential equations
• On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method
• Homotopy perturbation technique
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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