The fluorescence decay in fluorescence lifetime imaging (FLIM) is typically fitted to a multi-exponential model with discrete lifetimes. The interaction between fluorophores in heterogeneous samples (e.g. biological tissue) can, however, produce complex decay characteristics that do not correspond to such models. Although they appear to provide a better fit to fluorescence decay data than the a...

Nanosecond laser photolysis measurements were conducted on the cone-type visual pigment P521 in digitonin extracts of Tokay gecko (Gekko gekko) retina containing physiological chloride ion levels and also on samples which had been chloride depleted or which contained high levels (4 M) of chloride. Absorbance difference spectra were recorded at a sequence of time delays from 30 ns to 60 microsec...

Using numerical calculations and analytic theory, we examine the convergence behavior of Gaussian expansions of several model orbitals. By following the approach of Kutzelnigg, we find that the errors in the energies of the optimal n-term even-tempered Gaussian expansions of s-type, p-type, and d-type exponential orbitals are εn s ∼ exp(−π(3n)), εn ∼ exp(−π(5n)), and εn ∼ exp(−π(7n)), respectiv...

We consider homogeneous solutions of the Vlasov—Fokker—Planck equation in plasma theory proving that they reach the equilibrium with a time exponential rate in various norms. By Csiszar—Kullback inequality, strong ̧1-convergence is a consequence of the ‘sharp’ exponential decay of relative entropy and relative Fisher information. To prove exponential strong decay in Sobolev spaces Hk, k*0, we ta...

We present results on dynamical processes that exhibit a stretched exponential relaxation. When the relaxation is a result of two competing exponential processes, the size of the system, although macroscopic, play a dominant role. There exist a crossover time t× that depends logarithmically on the size of the system, above which, the relaxation changes from a stretched exponential to a simple e...

In this paper, we investigate the stabilization of a system piezoelectric beams under (Coleman or Pipkin )-Gurtin thermal law with magnetic effect. First, study Piezoelectric-Coleman-Gurtin and obtain an exponential stability result. Next, consider Piezoelectric-Gurtin-Pipkin establish polynomial energy decay rate type $t^{-1}$

We have investigated the detailed kinetics of the passive Ca2+ leak from non-mitochondrial Ca2+ stores in permeabilized A7r5 cells. The decrease in the content of stored Ca2+ in the presence of 2 microM thapsigargin deviated from a single-exponential curve in the initial phase of the efflux. The deviation persisted after correcting this efflux for passively bound Ca2+. The non-single-exponentia...

Influence of several operating conditions on luminance decay in a green organic light-emitting diode with tris (8-hydrooxyquinoline) aluminum (Alq3) has been investigated by the analysis of its luminance decay curves. The conditions varied were operating current mode (DC or pulse) and environmental temperature (25–120 oC). The decay curves measured were analyzed by fitting the curves to stretch...

Several important aspects of fluorescence decay analysis are addressed and tested against new experimental measurements. A simulated-annealing method is described for deconvoluting the instrument response function from a measured fluorescence decay to yield the true decay, which is more convenient for subsequent fitting. The method is shown to perform well against the conventional approach, whi...