Statistical models for predicting the effect of bidisperse particle collisions on particle velocities and stresses in homogeneous anisotropic turbulent flows

The purpose of this paper is to present and compare two statistical models for predicting the effect of collisions on particle velocities and stresses in bidisperse turbulent flows. These models start from a kinetic equation for the probability density function (PDF) of the particle velocity distribution in a homogeneous anisotropic turbulent flow. The kinetic equation describes simultaneously particle–turbulence and particle–particle interactions. The paper is focused on deriving the collision terms in the governing equations of the PDF moments. One of the collision models is based on a Grad-like expansion for the PDF of the velocity distributions of two particles. The other model stems from a Grad-like expansion for the joint fluid–particle PDF. The validity of these models is explored by comparing with Lagrangian simulations of particle tracking in uniformly sheared and isotropic turbulent flows generated by LES. Notwithstanding the fact that the fluid turbulence may be isotropic, the particle velocity fluctuations are anisotropic due to the impact of gravitational settling. Comparisons of the model predictions and the numerical simulations show encouraging agreement.     

Synthesis, cellular uptake of, and cell photosensitization by a porphyrin bearing a quinoline group

A tetraphenyl porphine linked to a 7-chloroquinoline (5,10,15,20-tetraphenyl-1-3-[4-(4-aminobutyl)7-chloroquinoline] propioamidoporphine, TPPQ) was synthesized and examined as a potential photosensitizer for photodynamic therapy (PDT) of proliferative diseases. With respect to haematoporphyrin, TPPQ is a good in vitro photodynamic sensitizer producing singlet oxygen in 1% Triton X100 solutions. As with other hydrophobic porphyrins used in PDT, blood lipoproteins strongly bind TPPQ. Thus one low density lipoprotein (LDL) can incorporate 25 TPPQ molecules and 17 TPPQ molecules are taken up by one high density lipoprotein (HDL). Cell delivery of TPPQ using HDL or human serum albumin (HSA) as carrier is rather weak. However, an efficient TPPQ delivery to human skin fibroblasts is observed, partly aided by receptor-mediated endocytosis of LDL. Fluorescence spectroscopy shows that the cellular localization of TPPQ is both carrier and time dependent. During its delivery with LDL, TPPQ does not significantly impair the endocytosis of LDL-receptor complexes. After delivery with LDL, TPPQ is as efficient as other haematoporphyrin derivatives used in the PDT of cancers in photosensitizing human skin fibroblasts.