Although different tissue types and excitation wavelengths were analyzed before to determine the optimal dimensions of a nanoshell [10, 11], no optimization has ever been performed for a nanoshell ensemble with a real size distribution. In this Letter, we fill this gap by conducting the first theoretical study of the distribution parameters of the lognormally

dispersed HGNs exhibiting peak absorption or scattering efficiency. In particular, we comprehensively analyze the dependence of these parameters on the excitation wavelength and optical properties of the tissue, Selleck H 89 giving clear design guidelines. Methods Despite a significant progress in nanofabrication technology over the past decade, we are still unable to synthesize large ensembles of almost identical nanoparticles. The nanoparticle ensembles that are currently used for biomedical applications selleck chemicals llc exhibit broad size distributions, which

are typically lognormal in shape [12–15]. In an ensemble of single-core nanoshells, both the core radius R and the shell thickness H are distributed lognormally [15], with their occurrence probabilities given by the function [16] (1) where x=r or h is the radius or thickness of the nanoshell, μ X = ln(Med[X]) and σ X are the mean and standard deviation of lnX, respectively, and Med[X] is the geometric mean of the random variable x=r or H. The efficiencies of absorption and scattering by a nanoparticle ensemble are the key characteristics determining its performance in biomedical applications. In estimating

these characteristics, it is common to use a number of simplifying assumptions. First of all, owing to a relatively large interparticle distance Histone demethylase inside human tissue (typically constituting several micrometers [17]), one may safely neglect the nanoparticle interaction and the effects of multiple scattering at them [18, 19]. Since plasmonic nanoparticles can be excited resonantly with low-intensity optical small molecule library screening sources, it is also reasonable to ignore the nonlinear effects and dipole–dipole interaction between biomolecules [20]. The absorption of the excitation light inside human tissue occurs on a typical length scale of several centimeters, within the near-infrared transparency window of 650 to 1000 nm [21]. However, the attenuation of light does not affect the efficiencies of scattering and absorption by the ensemble, and is therefore neglected in the following analysis.