CELLULAR BINDING OF HEMATOPORPHYRIN DERIVATIVE IN HUMAN BLADDER CANCER CELL LINES: KK-47

Abstract— The fluorescence lifetime and degree of fluorescence polarization of hematoporphyrin derivative (HpD) have been investigated using different solutions: organic and micellar solutions. Ham's F12 medium, and KK-47 cell suspension. The lifetime and polarization degree in organic and micellar solutions did not change with increasing incubation time, but the polarization degree in the cell suspensions temporarily increased at the initial incubation time and then decreased 4 h after incubation. The lifetime in the cell suspensions exhibited a bi-phasic exponential decay. The results obtained suggested that mainly dimeric HpD may bind weakly to the cell membrane, and then slowly be distributed throughout the cytoplasm. The polarity and viscosity of the intracellular loci containing HpD were evaluated from the fluorescence polarizations of HpD in MeOH-H₂O mixtures and ethylene glycol(EG)-MeOH mixtures. The dielectric constant and viscosity of the loci containing HpD were 35 and 11 cp, respectively. Accordingly, the intracellular location of HpD were considered relatively hydrophilic loci of the cells.     

I: METHODOLOGY

Since standard molecular simulations use different energy expressions for charge and gradient calculations, there are severe problems such as incompleteness in the optimization and simulation of the system with electrostatic (ES) interaction. Here, a new concept is proposed to solve this problem. The consistent charge equilibration (CQEq) equation has been derived which uses the same energy expression for both charge and gradient calculations. The ES energy is given by the atomic partial charge shielded with a nuclear charge described by a normalized S type Slater function located at each atomic site. The partial charge is determined by the variational principal for the ES energy with a constraint that the total sum of the partial charges is constant. Also the first derivative has been determined for the ES energy to the internal coordinates from the same ES energy expression. Although the CQEq is a little heavier than the original QEq for the charge calculation, the CQEq completely satisfies the variational principle for the ES energy of a set of partial charge, and satisfies the consistency requirement in the optimization of the system with ES interaction. A new code has been created and applied to test cases.     

A simple calculation of Talmi coefficients of Laguerre Gaussians

A simple method is presented for calculating Talmi coefficients of Laguerre Gaussians by using those of Hermite Gaussians as intermediates. This method does not require the angular momentum algebra of 3j and 9j symbols needed in the usual methods.