Time-dependent density matrix functional theory can be formulated in terms of coupled-perturbed response equations, in which a coupling matrix K(omega) features, analogous to the well-known time-dependent density functional theory (TDDFT) case. An adiabatic approximation is needed to solve these equations, but the adiabatic approximation is much more critical since there is not a good "zero ord...

In this paper we propose an extension of the self-consistent charge-density-functional tight-binding ~SCCDFTB! method @M. Elstner et al., Phys. Rev. B 58, 7260 ~1998!#, which allows the calculation of the optical properties of finite systems within time-dependent density-functional response theory ~TD-DFRT!. For a test set of small organic molecules low-lying singlet excitation energies are com...

Recent development in particle-particle random phase approximation (pp-RPA) broadens the perspective on ground state correlation energies [H. van Aggelen, Y. Yang, and W. Yang, Phys. Rev. A 88, 030501 (2013), Y. Yang, H. van Aggelen, S. N. Steinmann, D. Peng, and W. Yang, J. Chem. Phys. 139, 174110 (2013); D. Peng, S. N. Steinmann, H. van Aggelen, and W. Yang, J. Chem. Phys. 139, 104112 (2013)]...

Ecological systems are mainly characterized by the interaction between species and their surrounding natural environment 1 . Especially, the dynamic relationship between predators and their preys has long been and will continue to be one of the dominant themes in both ecology and mathematical ecology, due to its universal existence and importance 2– 4 . The interaction mechanism of predators an...

The primarily intravascular magnetization transfer (MT)-independent changes in functional MRI (fMRI) can be separated from MT-dependent changes. This intravascular component is dominated by an arterial blood volume change (DeltaCBV(a)) term whenever venous contributions are minimized. Stimulation-induced DeltaCBV(a) can therefore be measured by a fit of signal changes to MT ratio. MT-varied fMR...

the functional response is an important characteristic of predator–prey interactions that determinate which predator species or stage classes of predator is the most effective for pest control. host plant morphological characteristics are the effective factors on predator’s functional response. the objective of this study was to determine whether differences in trichome density of wheat cultiva...

As a first approximation of immune-mediated within-host parasite dynamics we can consider the immune response as a predator, with the parasite as its prey. In the ecological literature of predator-prey interactions there are a number of different functional responses used to describe how a predator reproduces in response to consuming prey. Until recently most of the models of the immune system ...