Simulation of Microbial Depolymerization Process with Exponential Consumption of Carbon Source

Abstract

Abstract. Mathematical techniques were applied to a microbial depolymerization process of exogenous type. Experimental results were incorporated into analysis, and a microbial depolymerization process of polyethylene glycol was simulated. Inverse problems for molecular factor and time factor of a degradation rate are described and numerical techniques are illustrated.

Study on Biodegradability of Xenobiotic Polymer with Numerical Simulation Based on Experimental Outcome

“…In this study, integrals with the lower limit 0 were replaced with integrals with the lower limit A = 10 3.35 , and integrals with the upper limit ∞ were replaced with integrals with upper limit B = 10 4.2 . Suppose that σ (t) denotes the population of viable cells at time t. Equations (3) for the weight distribution was proposed in previous studies [8,9,10].…”

“…The mathematical techniques were reapplied to a biodegradation process of PEG [7]. Techniques developed for endogenous type processes were applied to exogenous type depolymerization processes of PE and PEG [8].…”

Inverse Analysis for Microbial Depolymerization Process of Polyethylen Glycol 4000

“…, for which the solution of the initial value problem ( 8), ( 10) also satisfies the final condition (11). Numerical techniques for the inverse problem (8), ( 10), (11) were already developed in previous studies.…”

Untitled

“…Various methods were applied to systems of equations such as system (14). Those are the NewtonRaphson method in conjunction with the bisection method, the NewtonRaphson method in conjunction with the Newton's method, the Newton-Raphson method, and the GaussNewton method [12 -15, 17, 18, 20].…”