Admissibility of retarded diagonal systems with one-dimensional input space

We investigate infinite-time admissibility of a control operator $B$ in a Hilbert space state-delayed dynamical system setting of the form $\dot{z}(t)=Az(t)+A_1 z(t-\tau)+Bu(t)$, where $A$ generates a diagonal $C_0$-semigroup, $A_1\in\mathcal{L}(X)$ is also diagonal and $u\in L^2(0,\infty;\mathbb{C})$. Our approach is based on the Laplace embedding between $L^2$ and the Hardy space $H^2(\mathbb{C}_+)$. The results are expressed in terms of the eigenvalues of $A$ and $A_1$ and the sequence representing the control operator.Comment: 25 pages, 2 figure

Electrophysiological Neuroimaging using sLORETA Comparing 22 Age Matched Male and Female Schizophrenia Patients

BACKGROUND: Standardized low resolution brain electric tomography (sLORETA) is a validated neuroimaging method for localizing the electric activity in the brain based on multichannel surface electroencephalogram (EEG) recordings, having the benefit of improved time resolution of EEG measurements, better than that of functional magnetic resonance imaging (fMRI), and with a spatial resolution similar to that of fMRI.OBJECTIVE: The purpose of this electrophysiological neuroimaging study was to provide a deeper mechanistic understanding of both olanzapine and risperidone pharmacodynamics relative to gender. In doing so, we age-matched 22 men and women and initially evaluated their resting-state EEG recordings and later used sLORETA to visualize the differences in brain activity amongst the two patient groups.METHODS: In this investigation, EEG data were analyzed from male and female schizophrenia patients treated with either olanzapine or risperidone, both atypical antipsychotics, during their in-patient stay at the Department of Psychiatry. Twenty two males and females were age-matched and EEG recordings were analyzed from 19 silver/silver chloride electrodes. Thirty-seconds of resting EEG were spectrally transformed into sLORETA. Three-dimensional statistical non-paramentric maps for the sLORETA global field power within each band were finally computed.RESULTS: The results indicated that, relative to males patients, females schizophrenia patients had increased neuronal synchronization in delta frequency, slow-wave, EEG band located in the dorsolateral prefrontal cortex, within the middle frontal gyrus (t= -2.881, p <0.03580). These findings suggest that females experience greater dopamine receptor and serotonin receptor neuronal blockade relative to age-matched males. Further, our findings provided insight to the pharmacodynamics of secondgeneration antipsychotics olanzapine and risperidone.CONCLUSION: When compared to male patients, female patients suffering from schizophrenia have dopamine and serotonin receptors that are blocked more readily than age-matched male schizophrenia patients. Clinically, this may translate into a quicker time to treatment-response in females as compared to male patients

Controllability and Qualitative properties of the solutions to SPDEs driven by boundary L\'evy noise

Let $u$ be the solution to the following stochastic evolution equation (1) du(t,x)& = &A u(t,x) dt + B \sigma(u(t,x)) dL(t),\quad t>0; u(0,x) = x taking values in an Hilbert space \HH, where $L$ is a \RR valued L\'evy process, $A:H\to H$ an infinitesimal generator of a strongly continuous semigroup, \sigma:H\to \RR bounded from below and Lipschitz continuous, and B:\RR\to H a possible unbounded operator. A typical example of such an equation is a stochastic Partial differential equation with boundary L\'evy noise. Let \CP=(\CP_t)_{t\ge 0} %{\CP_t:0\le t<\infty}$the corresponding Markovian semigroup. We show that, if the system (2) du(t) = A u(t)\: dt + B v(t),\quad t>0 u(0) = x is approximate controllable in time$T>0$, then under some additional conditions on$B$and$A$, for any$x\in H$the probability measure$\CP_T^\star \delta_x$is positive on open sets of$H$. Secondly, as an application, we investigate under which condition on$\HH$and on the L\'evy process$L$and on the operator$A$and$B$ the solution of Equation [1] is asymptotically strong Feller, respective, has a unique invariant measure. We apply these results to the damped wave equation driven by L\'evy boundary noise

Cold plasma in the nanotechnology of catalysts

In the paper the preparation of catalysts with the use of cold plasmas is discussed. A special attention is focused on nanocatalysts. In general, there are three main trends in this field: (1) plasma enhanced preparation of ..classical" catalysts, (2) plasma sputtering of catalytically active compounds, especially metal and metal oxide nanoparticles, and (3) plasma-enhanced metal-organic chemical vapor deposition (PEMOCVD) of very thin metal and metal oxide films with specific nanostructure. It is shown that the cold plasma techniques are very effective methods for designing the nanocatalysts with distinct and tunable chemical activity, specificity and selectivity. Finally, our preliminary investigations concerning CoOx catalytic films fabricated by the PEMOCVD method are presented

The spread of virus diseases to single potato plants by winged aphids

RESP-293