TY - BOOK AU - Pan,J. AU - Chen,X. TI - Modelling degradation of amorphous biodegradable polyesters: Basic model KW - AMORPHOUS POLYMERS KW - BIODEGRADABLE POLYMER KW - HYDROLYSIS REACTION KW - MATHEMATICAL MODEL KW - MOLECULAR WEIGHT KW - NUMERICAL METHOD KW - POLYMER DEGRADATION N2 - 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 UR - https://drive.google.com/file/d/1VJwHspbYDWkQqKO6SmTDgNXrSJtgae5q/view?usp=drivesdk ER -