Modeling the enzyme kinetic reaction

Acta Biotheor. 2015 Sep;63(3):239-56. doi: 10.1007/s10441-015-9253-0. Epub 2015 May 1.

Abstract

The Enzymatic control reactions model was presented within the scope of fractional calculus. In order to accommodate the usual initial conditions, the fractional derivative used is in Caputo sense. The methodologies of the three analytical methods were used to derive approximate solution of the fractional nonlinear system of differential equations. Two methods use integral operator and the other one uses just an integral. Numerical results obtained exhibit biological behavior of real world problem.

MeSH terms

  • Biochemistry / methods
  • Enzymes / chemistry
  • Enzymes / physiology*
  • Kinetics
  • Models, Chemical*
  • Models, Statistical
  • Models, Theoretical
  • Nonlinear Dynamics
  • RNA, Catalytic / chemistry

Substances

  • Enzymes
  • RNA, Catalytic