Substrate Diffusion Analysis in Immobilized Spherical Cell-Support Aggregate by Using of Least Square Method

this study, the substrate diffusion in an immobilized spherical cell-support aggregate is studied and effects of various parameters are investigated on substratesprofile. Analyses are performed by using of an analytical solution called the Least Square Method (LSM) and results are compared with numerical solution. Theeffects of effective diffusion coefficient (De), maximum specific growth rate (μm) and type of limiting substrate are studied on substrate concentration profile in immobilizedNitrosomonas europaea and Nitrobacter agilis microorganisms. Outcomes reveal that LSM is an appropriate method for analyze of biologicalnon-linear equations. In the center of the spherical microbial support, the substrates concentration is minimums and with reducing μm or increasing De, substrate concentration profile gradient reduces.

Keywords:

Nitrosomonas europaea , Nitrobacter agilis , LSM , Substrate Concentration