Monocyte and T-lymphocyte trans-endothelial migration in relation to cardiovascular disease: some alternative boundary conditions in a model recently proposed by Little et al. (PLoS Comput Biol 2009 5(10) e1000539)

We consider a slight modification to the monocyte and T-lymphocyte boundary conditions of Little et al. (1) and derive alternative parameter estimates. No changes to the results and conclusions of the paper of Little et al. (1) are implied. Introduction and Results We shall consider a slight modification of the boundary monocyte and T-lymphocyte flux given by equations (17) and (18) in Little et al. (1) namely: ,0 1 ,1 [ ] ( , , ) on [ ] 1 ( , , ) 0 otherwise Tm m L I m m L I m m L I L C C m L I m m D C m m D m m m C J C m m β β β κ > ⎧ − + ⎧ ⎫ ⎪ ⎪ = Γ ⎪ ⎨ ⎬ − + ⋅ = ⎨ ⎪ ⎪ ⎩ ⎭ ⎪ ⎩ (1) ,0 1 ,1 [ ] ( , , ) on [ ] 1 ( , , ) 0 otherwise TT T L I T T L I T T L I L C C T L I T T D C T T D T T T C J C T T β β β κ > ⎧ − + ⎧ ⎫ ⎪ ⎪ = Γ ⎪ ⎨ − + = ⎨ ⎪⎩ ⎪ ⎩ ⎬ ⎪⎭