Abstract
This study demonstrates mathematical analysis of biodegradation processes of xenobiotic polymers. A model for microbial population is based on the fact that growth rate of microorganisms is proportional to the microbial population and consumption rate of parts of carbon sources. The model is paired with a model for weight distribution. Those models lead to inverse problems for a molecular factor and a time factor of degradation rate. Solution of the inverse problems allows us to simulate the biodegra-dation process.
Highlights
Microbial depolymerization processes are classified into exogenous type and endogenous type
This study demonstrates mathematical analysis of biodegradation processes of xenobiotic polymers
A model for microbial population is based on the fact that growth rate of microorganisms is proportional to the microbial population and consumption rate of parts of carbon sources
Summary
Microbial depolymerization processes are classified into exogenous type and endogenous type. A mathematical model was proposed and numerical techniques were developed for PE biodegradation [4]. A mathematical model was proposed and numerical techniques were developed for an enzymatic degradation of PVA [6]. Those mathematical techniques were reapplied to an enzymatic hydrolysis of polylactic acid (PLA) [7]. Techniques originally developed for endogenous type processes were replied to exogenous type depolymerization processes of PE and PEG [8]. This study revisits an exogenous type depolymerization process of PEG to demonstrate mathematical techniques. Inverse problems for a molecular factor and a time factor of a degradation rate were formulated Solutions of those inverse problems allow us to simulate a biodegradation process of PEG
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