Diffusional Growth of Colloids
  We consider incorporation of particle detachment in Smoluchowski model of colloidal growth. Two approaches are considered, utilizing phenomenological rate equation and exact large-time results. Our main conclusion is that the value of the large-time diffusing particle concentration at the aggregate surface is the only parameter needed to describe the added effect of detachment. Explicit expression is given for the particle intake rate. 
Dima Mozyrsky, Vladimir Privman