TY - JOUR
T1 - Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities
AU - Vynnycky, Michael
AU - McKee, Sean
AU - Meere, Martin
AU - McCormick, Christopher
AU - McGinty, Sean
N1 - Publisher Copyright:
© The Author(s) 2019.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - This paper is concerned with a diffusion-controlled moving boundary problem in drug dissolution, in which the moving front passes from one medium to another for which the diffusivity is many orders of magnitude smaller. The classical Neumann similarity solution holds while the front is passing through the first layer, but this breaks down in the second layer. Asymptotic methods are used to understand what is happening in the second layer. Although this necessitates numerical computation, one interesting outcome is that only one calculation is required, no matter what the diffusivity is for the second layer.
AB - This paper is concerned with a diffusion-controlled moving boundary problem in drug dissolution, in which the moving front passes from one medium to another for which the diffusivity is many orders of magnitude smaller. The classical Neumann similarity solution holds while the front is passing through the first layer, but this breaks down in the second layer. Asymptotic methods are used to understand what is happening in the second layer. Although this necessitates numerical computation, one interesting outcome is that only one calculation is required, no matter what the diffusivity is for the second layer.
KW - asymptotics
KW - drug dissolution
KW - moving boundary problem
KW - two layers
UR - http://www.scopus.com/inward/record.url?scp=85119043738&partnerID=8YFLogxK
U2 - 10.1093/imamat/hxz002
DO - 10.1093/imamat/hxz002
M3 - Article
AN - SCOPUS:85119043738
SN - 0272-4960
VL - 84
SP - 533
EP - 554
JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
IS - 3
ER -