A simplified theory of crystallisation induced by polymer chain scissions for biodegradable polyesters

An atomic finite element model for biodegradable polymers. Part 2. A model for change in Young’s modulus due to polymer chain scission

“…10 (e), it can be seen to achieve quite a good fitting, using the same volume of effective cavity. (Gleadall et al, 2012;Han and Pan, 2009;Han et al, 2010), to give a combined model for molecular weight, crystallinity and Young's modulus throughout degradation.…”

Finite element analysis of degradation of biodegradable medical devices

“…We focus on amorphous polymers in this study for simplicity although the mathematical model can handle semi-crystalline polymers without any difficulty 5,6 . Following Han et al 6,8 , the rate equation for polymer chain scission during hydrolysis degradation can be written as …”

“…Size effect and heterogeneous degradation make it difficult to transfer experimental experience from one device to another even if they are made of the same polymer. A mathematical framework has been developed by Pan and his co-workers [5][6][7][8][9][10][11] , which captures the dominating mechanisms in degradation including hydrolysis, crystallisation and short chain diffusion. It has been shown that the model can fit a wide range of the experimental data and that the size effect and heterogeneous degradation can be predicted using the mathematical model 6,10 .…”

Degradation mechanisms of bioresorbable polyesters. Part 2. Effects of initial molecular weight and residual monomer

“…One aim of this paper is to understand the effects of initial molecular weight and relate them to the fundamental hydrolysis mechanisms. Simulations are conducted using a more detailed version of a previously developed mathematical model [8][9][10][11].…”