title: Analytical expression of non-steady-state concentrations and current pertaining to compounds present in the enzyme membrane of biosensor.
abstract: A mathematical model of trienzyme biosensor at an internal diffusion limitation for a non-steady-state condition has been developed. The model is based on diffusion equations containing a linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Analytical expressions of concentrations and current of compounds in trienzyme membrane are derived. An excellent agreement with simulation data is noted. When time tends to infinity, the analytical expression of non-steady-state concentration and current approaches the steady-state value, thereby confirming the validity of the mathematical analysis. Furthermore, in this work we employ the complex inversion formula to solve the boundary value problem.
authors.affiliation: Department of Mathematics, The Madura College, Madurai, India.
authors.forename: Anitha
authors.initials: A
authors.lastname: Shanmugarajan
authors.forename: Subbiah
authors.initials: S
authors.lastname: Alwarappan
authors.forename: Lakshmanan
authors.initials: L
authors.lastname: Rajendran
mesh_terms: D000581:Amidohydrolases / Q000737:chemistry / Q000378:metabolism*; D015374:Biosensing Techniques; D003401:Creatine / Q000096:biosynthesis / Q000737:chemistry; D003404:Creatinine / Q000737:chemistry* / Q000378:metabolism; D004058:Diffusion; D004789:Enzyme Activation; D006861:Hydrogen Peroxide / Q000737:chemistry / Q000378:metabolism; D007700:Kinetics; D012521:Sarcosine / Q000096:biosynthesis / Q000737:chemistry; D050879:Sarcosine Oxidase / Q000737:chemistry / Q000378:metabolism*; D014512:Ureohydrolases / Q000737:chemistry / Q000378:metabolism*
chemical_list: D003404:Creatinine; D006861:Hydrogen Peroxide; D050879:Sarcosine Oxidase; D000581:Amidohydrolases; C019946:creatininase; D014512:Ureohydrolases; C019944:creatinase; D003401:Creatine; D012521:Sarcosine