Mathematical Analysis of Copy Number Variation in a DNA Sample Using Digital PCR on a Nanofluidic Device

Copy Number Variations (CNVs) of regions of the human genome have been associated with multiple diseases. We present an algorithm which is mathematically sound and computationally efficient to accurately analyze CNV in a DNA sample utilizing a nanofluidic device, known as the digital array. This numerical algorithm is utilized to compute copy number variation and the associated statistical confidence interval and is based on results from probability theory and statistics. We also provide formulas which can be used as close approximations

The effect of polarization on the light-induced conical intersection phenomenon

It has already been shown that dressing of diatomic molecules by standing or running linear polarized laser waves gives rise to conical intersections (CIs). Due to the presence of such CIs, the rovibronic molecular motions are strongly coupled. Here we prove that only perfect linear polarized light induces CIs in diatomic molecules. However, the fingerprints of the light-induced conical intersection survive for an elliptical polarization but not for a circular polarization. Therefore, the effects of the light-induced conical intersection can be controlled by varying a physical parameter (polarization of the laser). Such a CI controllable physical parameter does not exist in field-free polyatomic molecules. An illustrative numerical example for a sodium dimer showing the dependence of the absorption spectrum of Na(2) upon ellipticity is given

Calculation of the photodetachment cross sections of the HCN ^- and HNC ^- dipole-bound anions as described by a one-electron Drude model

The continuum functions were calculated by using the extended Drude model for treating the interaction of excess electrons with polar molecules. The photodetachment cross sections were also calculated. It was found that the approach was also applied to calculate the cross sections for photodetachment of dipole-bound electrons from HNC - and HCN -. An adiabatic model, which separates the radial and angular degrees of freedom of the excess electron, was introduced