Inverse Analysis for Microbial Depolymerization Process of Polyethylen Glycol 4000

Abstract

A microbial depolymerization process of polyethylene glycol 4000 was investigated mathematically. Weight distributions before and after cultivation of Sphingopyxis macrogoltabidus strain 103 were introduced into inverse probelms for a molecular factor and a time factor of a degradation rate. Once those inverse problems were solved numerically, the microbial depolymerization process of polyethylene glycol 4000 was simulated.

Mathematical Modeling and Inverse Analysis for Microbial Depolymerization Processes of Xenobiotic Polymers

“…Numerical techniques for the inverse problem (9), (12),(13) were devised in previous studies. Those techniques were applied to weight distributions of PEG 4000 before and after cultivation of Sphingopyxis macrogoltabidus strain 103 for one day, three days, five days, and seven days[15].Figure 1shows the molecular factor ( ) M λ of degradation rate based on weight distributions before after cultivation of the microorganism for three days.Once the inverse problem for ( )…”