On the tau-functions of the Degasperis-Procesi equation

The DP equation is investigated from the point of view of determinant-pfaffian identities. The reciprocal link between the Degasperis-Procesi (DP) equation and the pseudo 3-reduction of the $C_{\infty}$ two-dimensional Toda system is used to construct the N-soliton solution of the DP equation. The N-soliton solution of the DP equation is presented in the form of pfaffian through a hodograph (reciprocal) transformation. The bilinear equations, the identities between determinants and pfaffians, and the $\tau$-functions of the DP equation are obtained from the pseudo 3-reduction of the $C_{\infty}$ two-dimensional Toda system.Comment: 27 pages, 4 figures, Journal of Physics A: Mathematical and Theoretical, to be publishe

Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

In this paper we derive general relations for the band-structure of an array of quantum dots and compute its transport properties when connected to two perfect leads. The exact lattice Green's functions for the perfect array and with an attached adatom are derived. The expressions for the linear conductance for the perfect array as well as for the array with a defect are presented. The calculations are illustrated for a dot made of three atoms. The results derived here are also the starting point to include the effect of electron-electron and electron-phonon interactions on the transport properties of quantum dot arrays. Different derivations of the exact lattice Green's functions are discussed

Electromyographic Activity in the EEG in Alzheimer's Disease: Noise or Signal?

Many efforts have been directed at negating the influence of electromyographic (EMG) activity on the EEG, especially in elderly demented patients. We wondered whether these “artifacts” might reflect cognitive and behavioural aspects of dementia. In this pilot study, 11 patients with probable Alzheimer's disease (AD), 13 with amnestic mild cognitive impairment (MCI) and 13 controls underwent EEG registration. As EMG measures, we used frontal and temporal 50–70 Hz activity. We found that the EEGs of AD patients displayed more theta activity, less alpha reactivity, and more frontal EMG than controls. Interestingly, increased EMG activity indicated more cognitive impairment and more depressive complaints. EEG variables on the whole distinguished better between groups than EMG variables, but an EMG variable was best for the distinction between MCI and controls. Our results suggest that EMG activity in the EEG could be more than noise; it differs systematically between groups and may reflect different cerebral functions than the EEG

Recursive properties of Dirac and Metriplectic Dirac brackets with Applications

In this article, we prove that Dirac brackets for Hamiltonian and non-Hamiltonian constrained systems can be derived recursively. We then study the applicability of that formulation in analysis of some interesting physical models. Particular attention is paid to the feasibility of implementation code for Dirac brackets in Computer Algebra System and analytical techniques for inversion of triangular matrices.Comment: 29 pages, Latex. Extended version of the article in Physica

Risk factors of death at patient with severe influenza A(H1N1) pneumonia

In a service evaluation assessment we retrospectively reviewed the notes of 70 adult patients admitted to the hospital and subsequently confirmed to have contracted H1 N1 between November and December 2009. all these patients have hospitalized in ICU Yekaterinburg city. We have defined risk factors of death at patient with severe influenza A(H1 N1) pneumonia the accuracy of each score in predicting outcome was assessed by plotting the receiver operating characteristic (ROC) curve, calculating the area under the ROC curve (AUC) with 95% Confidence intervals and calculating odds ratio (OR). Predictors high risk of death, in our trial, are APACHE II score > 6; SOFA score > 3; LIS score > 2,5; leukocytes numbers 6 баллов; S0FA> 3 баллов; US > 2,5 баллов; число лейкоцитов <2,7 х 109/л; их юных форм лейкоцитов <15 %; количество тромбоцитов <148 х 109/л и коэффициент оксигенации Pa02/Fi02 <268 мм.рт.ст. Из сопутствующей патологии наиболее значимое негативное влияние на течение заболевания оказывают ожирение — OШ =3,18 (95% ДИ 1.08-9,32), и ишемическая болезнь сердца - 0Ш=4,14 (95% Д И 1,31 -3,18)

Estimation of necessity of performance and choice of optimum terms tracheostomy at carrying out ALV at patients with abdominal sepsis

For the purpose of a substantiation of necessity and optimum terms of performance tracheostomy at 96 patients with a abdominal sepsis, demanding carrying out long ALV the analysis of a clinical current of disease is made. From them to 59 patients (61,5 %) it is executed surgical top median tracheostomy in different terms ALV. At 37 patients (38,5 %) long ventilation of lungs was carried out through an endotracheal tube throughout all period of artificial respiratory support. It is established that tracheostomy performance at carrying out long ALV within 25 days in the general population of patients the abdominal sepsis has no conclusive clinical advantages before ventilation of lungs through a endotracheal tube tube. Early the tracheostomy does not reduce risk VAP, does not reduce duration ALV and stay time in DRIT. Term of carrying out of artificial respiratory support is not the main defining factor for decision-making. Indications to tracheostomy should be individualised proceeding from a concrete clinical situation.С целью обоснования необходимости и оптимальных сроков выполнения трахеостомии у 96 пациентов с абдоминальным сепсисом, требующих проведения длительной ИВЛ выполнен анализ клинического течения заболевания. Из них 59 пациентам (61,5%) выполнена хирургическая верхняя срединная трахеостомия в разные сроки ИВЛ. У 37 пациентов (38,5%) длительная вентиляция лёгких осуществлялась через эндотрахеальную трубку на протяжении всего периода искусственной респираторной поддержки. Установлено, что выполнение ТС при проведении длительной ИВЛ в пределах 25 дней в общей популяции пациентов АС не имеет неоспоримых клинических преимуществ перед вентиляцией лёгких через эндотрахеальную трубку. Ранняя ТС не снижает риск ВАП, не сокращает длительность ИВЛ и время пребывания в ОРИТ. Срок проведения искусственной респираторной поддержки не является главным определяющим фактором для принятия решения. Показания к трахеостомии должны быть индивидуализированы исходя из конкретной клинической ситуации

Early recognition of characteristic conventional and amplitude-integrated EEG patterns of seizures in <i>SCN2A </i>and <i>KCNQ3</i>-related epilepsy in neonates

Purpose: Early recognition of seizures in neonates secondary to pathogenic variants in potassium or sodium channel coding genes is crucial, as these seizures are often resistant to commonly used anti-seizure medications but respond well to sodium channel blockers. Recently, a characteristic ictal amplitude-integrated electroencephalogram (aEEG) pattern was described in neonates with KCNQ2-related epilepsy. We report a similar aEEG pattern in seizures caused by SCN2A- and KCNQ3-pathogenic variants, as well as conventional EEG (cEEG) descriptions. Methods: International multicentre descriptive study, reporting clinical characteristics, aEEG and cEEG findings of 13 neonates with seizures due to pathogenic SCN2A- and KCNQ3-variants. As a comparison group, aEEGs and cEEGs of neonates with seizures due to hypoxic-ischemic encephalopathy (n = 117) and other confirmed genetic causes affecting channel function (n = 55) were reviewed. Results: In 12 out of 13 patients, the aEEG showed a characteristic sequence of brief onset with a decrease, followed by a quick rise, and then postictal amplitude attenuation. This pattern correlated with bilateral EEG onset attenuation, followed by rhythmic discharges ending in several seconds of post-ictal amplitude suppression. Apart from patients with KCNQ2-related epilepsy, none of the patients in the comparison groups had a similar aEEG or cEEG pattern. Discussion: Seizures in SCN2A- and KCNQ3-related epilepsy in neonates can usually be recognized by a characteristic ictal aEEG pattern, previously reported only in KCNQ2-related epilepsy, extending this unique feature to other channelopathies. Awareness of this pattern facilitates the prompt initiation of precision treatment with sodium channel blockers even before genetic results are available.</p