Mathematical modeling for the estimation of lipase activity by agar diffusion method

Chang WJ; Moon YH; Koo YM

Korean Journal of Chemical Engineering, Vol.14, No.3, 179-183, May, 1997

A mathematical model was developed to estimate the lipase activities from the experimentally obtained physical dimension of halo, formed by a diffusing lipase through agar media. A diffusion equation base upon the mass balance was derived in cylindrical coordinates, the integration of which was carried out by using finite difference method. A regressional analysis of the experimental data using the proposed model has brought the values for the hindered diffusivity of lipase through agar media and the minimum effective lipase concentration of 0.817×10^-6 cm²/s and 2.86 unit/cm³, respectively. The procedures, delineated in this work are considered to be useful for the quantitative analysis of haloforming enzymes at predetermined standard conditions.

Keywords:Lipase;Activity;Halo;Agar;Modeling

[References]

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[1] Constantinides A, "Applied Numerical Methods with Personal Computers," McGraw-Hill, New York (1987)

[2] Fransmana M, Junne G, Roobeek A, "The Biotechnology Revolution?" Blackwell, Oxford (1995)

[3] IMSL, "IMSL-LIBRARY User's Manual, Vol. 4," IMSL, Houston (1984)

[4] Kouker G, Jaeger KE, Appl. Environ. Microbiol., 53(1), 211 (1987)

[5] Lee SY, Rhee JS, J. Microbiol. Biotechnol., 4(2), 85 (1994)