Modelling degradation of amorphous biodegradable polyesters: Basic model
- Modelling Degradation of Bioresorbable Polymeric Medical Devices, p.15-31, 2014 .
This chapter introduces a mathematical model for the degradation of amorphous polymers. A degrading polymer is made of long and short polymer chains saturated with water molecules. In degradation the long chains gradually cleave into short ones through hydrolysis. A master equation is presented that governs the process. Integration of the equation gives average molecular weight as function of time. Analytical solutions are presented for two limiting cases. A numerical method and computer programme are provided for solving the equation in general circumstances. Short chain diffusion is neglected (see Chapter 6 for the validity of this assumption). © 2015 Elsevier Ltd. All rights reserved.
Subjects--Topical Terms: AMORPHOUS POLYMERS BIODEGRADABLE POLYMER HYDROLYSIS REACTION MATHEMATICAL MODEL MOLECULAR WEIGHT NUMERICAL METHOD POLYMER DEGRADATION