Efficient algorithm to calculate the optical properties of breast tumors by high-order perturbation theory.

An efficient algorithm to obtain the solutions for n-th order terms of perturbation expansions in absorption, scattering, and cross-coupling for light propagating in human tissue is presented. The proposed solution is free of any approximations and makes possible fast and efficient estimates of mammographic, optical tomographic, and fluorescent images, applying a perturbation order of 30 and more. The presented analysis sets the general limits for the applicability of the perturbation approach as a function of tumor size and optical properties of the human tissue. The convergence tests of the efficient calculations for large absorbing objects show excellent agreement with the reference data from finite element method calculations. The applicability of the theory is demonstrated in experiments on breast-like phantoms with high absorbing and low-scattering lesions.

Symmetry selection in artificial DNA base pairs.

We report the results of density functional theory (DFT) studies on the formation of the complex H1--Cu2+-H1- consisting of two deprotonated hydroxypyridone ligands (H1-) and a Cu2+ ion. We compare the total energies of three possible structures with different symmetries and show that the structure with plane reflection symmetry has the lowest energy. The electronic structure of the periodic extended DNA-like double helix consisting of stacked H1--Cu2+-H1- units is then calculated within the density functional method, and the double helix is found to be an insulating ferromagnet.