Characterization of the Vertices and Extreme Directions of the Negative Cycles Polyhedron and Hardness of Generating Vertices of 0/1-Polyhedra

Given a graph $G=(V,E)$ and a weight function on the edges w:E\mapsto\RR, we consider the polyhedron $P(G,w)$ of negative-weight flows on $G$, and get a complete characterization of the vertices and extreme directions of $P(G,w)$. As a corollary, we show that, unless $P=NP$, there is no output polynomial-time algorithm to generate all the vertices of a 0/1-polyhedron. This strengthens the NP-hardness result of Khachiyan et al. (2006) for non 0/1-polyhedra, and comes in contrast with the polynomiality of vertex enumeration for 0/1-polytopes \cite{BL98} [Bussieck and L\"ubbecke (1998)]

Development of multi-functional streetscape green infrastructure using a performance index approach

This paper presents a performance evaluation framework for streetscape vegetation. A performance index (PI) is conceived using the following seven traits, specific to the street environments - Pollution Flux Potential (PFP), Carbon Sequestration Potential (CSP), Thermal Comfort Potential (TCP), Noise Attenuation Potential (NAP), Biomass Energy Potential (BEP), Environmental Stress Tolerance (EST) and Crown Projection Factor (CPF). Its application is demonstrated through a case study using fifteen streetvegetation species from the UK, utilising a combination of direct field measurements and inventoried literature data. Our results indicate greater preference to small-to-medium size trees and evergreen shrubs over larger trees for streetscaping. The proposed PI approach can be potentially applied two-fold: one, for evaluation of the performance of the existing street vegetation, facilitating the prospects for further improving them through management strategies and better species selection; two, for planning new streetscapes and multi-functional biomass as part of extending the green urban infrastructure

Agro-Eco Sub region Based Crop Planning in the Black Soil Regions and Indo-Gangetic Plains – Application of Soil Information System

Agro-Ecological Sub-Regions (AESRs) of the country were conceptualized using limited soil data and accordingly a map was generated way back in 1994. The present paper revisits the AESR concept to revise this map with the help of georeferenced soil information system (GeoSIS) recently developed at the sub-country levels of the Black Soil Region (BSR) and the Indo-Gangetic Plains (IGP). GeoSIS has been proved to be an excellent tool in successful application of Agro- Ecological Sub Regions (AESRs) at the regional and national levels. This novel approach could narrow the knowledge gap in revising the soil and agro-management technologies, used in dry land agriculture for productivity enhancement with special reference to the BSR dominated by cotton and soybean cropping systems. For the IGP, similar approach was used for the rice-wheat cropping systems. Revised AESR map identifies the areas under different level of productivity of these four important crops of two major food-growing regions of the country. The identified areas in the form of thematic maps shall help the planners and land resource managers to prioritize areas for resource management

Poboljšanje fizičko-mehaničkih svojstava karbamazepina prekristalizacijom pri različitim pH

The morphology of crystals has an appreciable impact on the physicochemical properties of drugs. Drug properties such as flowability, dissolution, hardness and bioavailability may be affected by crystallinity behaviors of drugs. The objective of this study was to achieve improved physicomechanical properties of carbamazepine powder through recrystallization from aqueous solutions at different pH values. For this purpose, carbamazapine was recrystallized from aqueous solutions at different pH values (1, 7, 11). The morphology of crystals was investigated using scanning electron microscopy; X-ray powder diffraction (XRPD) was used to identify polymorphism; thermodynamic properties were analyzed using differential scanning calorimetery (DSC). Dissolution was determined using USP dissolution apparatus. Mechanical behavior of recrystallized carbamazepine powders was investigated by making tablets under different compaction pressures and measuring their hardness. SEM studies showed that carbamazepine crystallization in different media affected the morphology and size of carbamazepine crystals. The shape of carbamazepine crystals changed from flaky or thin plate-like to needle-shaped. XRPD and DSC results ruled out any crystallinity changes occurring due to the temperature or pH of crystallization media. The crushing strength of tablets indicated that all the recrystallized carbamazepine samples had better compactibility than the original carbamazepine powder. In vitro dissolution studies of carbamazepine samples showed a higher dissolution rate of carbamazepine crystals obtained from media with pH 11 and 1. Carbamazepine particles recrystallized from aqueous solutions of different pH values (all media) appeared to have superior mechanical properties to those of the original carbamazepine sample.Morfologija kristala ima značajan utjecaj na fizičko-mehanička svojstva lijekova. Kristaliničnost može utjecati na tečnost, oslobađanje, tvrdoću i bioraspoloživost lijekova. Cilj ovog rada bio je poboljšati fizičko-mehanička svojstva praha karbamazepina prekristalizacijom iz vodenih otopina pri različitim pH vrijednostima (1, 7 i 11). Fizičko-mehanička svojstva prekristaliziranog karbamazepina određivana su na sljedeći način: morfologija kristala ispitivana je pretražnom elektronskom mikroskopijom, polimorfi su identificirani rendgenskom difrakcijom praha (XRPD), a termodinamička svojstva analizirana su diferencijalnom pretražnom kalorimetrijom (DSC). Topljivost je određena pomoću aparata prema USP. Mehanička svojstva prekristaliziranog karbamazepina ispitivana su tijekom tabletiranja pri različitim tlakovima i mjerenjem tvrdoće nastalih tableta. SEM ispitivanja pokazala su da kristalizacija karbamazepina iz različitih medija utječe na morfologiju i veličinu kristala. Oblik kristala mijenjao se od pahuljastog ili pločastog do igličastog. Rezultati dobiveni XRPD i DSC metodama isključili su promjene kristaliničnosti zbog temperature ili pH medija. Mjerenjem lomljivosti tableta utvrđeno je da su svi prekristalizirani uzorci karbamazepina bili kompaktniji od polaznog praškastog uzorka. Ispitivanja topljivosti in vitro pokazala su da su kristali dobiveni iz otopine s pH 11 i 1 topljiviji. Uzorci karbamazepina dobiveni prekristalizacijom iz vodenih otopina različite pH vrijednosti imali su bolja mehanička svojstva od originalnog uzorka karbamazepina

Using metadynamics to explore complex free-energy landscapes

Metadynamics is an atomistic simulation technique that allows, within the same framework, acceleration of rare events and estimation of the free energy of complex molecular systems. It is based on iteratively \u2018filling\u2019 the potential energy of the system by a sum of Gaussians centred along the trajectory followed by a suitably chosen set of collective variables (CVs), thereby forcing the system to migrate from one minimum to the next. The power of metadynamics is demonstrated by the large number of extensions and variants that have been developed. The first scope of this Technical Review is to present a critical comparison of these variants, discussing their advantages and disadvantages. The effectiveness of metadynamics, and that of the numerous alternative methods, is strongly influenced by the choice of the CVs. If an important variable is neglected, the resulting estimate of the free energy is unreliable, and predicted transition mechanisms may be qualitatively wrong. The second scope of this Technical Review is to discuss how the CVs should be selected, how to verify whether the chosen CVs are sufficient or redundant, and how to iteratively improve the CVs using machine learning approaches

Author Correction : The dental proteome of Homo antecessor (Nature, (2020), 580, 7802, (235-238), 10.1038/s41586-020-2153-8)

An amendment to this paper has been published and can be accessed via a link at the top of the paper

Neurological manifestations of SARS-CoV-2 infection in hospitalised children and adolescents in the UK: a prospective national cohort study

BACKGROUND: The spectrum of neurological and psychiatric complications associated with paediatric SARS-CoV-2 infection is poorly understood. We aimed to analyse the range and prevalence of these complications in hospitalised children and adolescents. METHODS: We did a prospective national cohort study in the UK using an online network of secure rapid-response notification portals established by the CoroNerve study group. Paediatric neurologists were invited to notify any children and adolescents (age <18 years) admitted to hospital with neurological or psychiatric disorders in whom they considered SARS-CoV-2 infection to be relevant to the presentation. Patients were excluded if they did not have a neurological consultation or neurological investigations or both, or did not meet the definition for confirmed SARS-CoV-2 infection (a positive PCR of respiratory or spinal fluid samples, serology for anti-SARS-CoV-2 IgG, or both), or the Royal College of Paediatrics and Child Health criteria for paediatric inflammatory multisystem syndrome temporally associated with SARS-CoV-2 (PIMS-TS). Individuals were classified as having either a primary neurological disorder associated with COVID-19 (COVID-19 neurology group) or PIMS-TS with neurological features (PIMS-TS neurology group). The denominator of all hospitalised children and adolescents with COVID-19 was collated from National Health Service England data. FINDINGS: Between April 2, 2020, and Feb 1, 2021, 52 cases were identified; in England, there were 51 cases among 1334 children and adolescents hospitalised with COVID-19, giving an estimated prevalence of 3·8 (95% CI 2·9-5·0) cases per 100 paediatric patients. 22 (42%) patients were female and 30 (58%) were male; the median age was 9 years (range 1-17). 36 (69%) patients were Black or Asian, 16 (31%) were White. 27 (52%) of 52 patients were classified into the COVID-19 neurology group and 25 (48%) were classified into the PIMS-TS neurology group. In the COVID-19 neurology group, diagnoses included status epilepticus (n=7), encephalitis (n=5), Guillain-Barré syndrome (n=5), acute demyelinating syndrome (n=3), chorea (n=2), psychosis (n=2), isolated encephalopathy (n=2), and transient ischaemic attack (n=1). The PIMS-TS neurology group more often had multiple features, which included encephalopathy (n=22 [88%]), peripheral nervous system involvement (n=10 [40%]), behavioural change (n=9 [36%]), and hallucinations at presentation (n=6 [24%]). Recognised neuroimmune disorders were more common in the COVID-19 neurology group than in the PIMS-TS neurology group (13 [48%] of 27 patients vs 1 [<1%] of 25 patients, p=0·0003). Compared with the COVID-19 neurology group, more patients in the PIMS-TS neurology group were admitted to intensive care (20 [80%] of 25 patients vs six [22%] of 27 patients, p=0·0001) and received immunomodulatory treatment (22 [88%] patients vs 12 [44%] patients, p=0·045). 17 (33%) patients (10 [37%] in the COVID-19 neurology group and 7 [28%] in the PIMS-TS neurology group) were discharged with disability; one (2%) died (who had stroke, in the PIMS-TS neurology group). INTERPRETATION: This study identified key differences between those with a primary neurological disorder versus those with PIMS-TS. Compared with patients with a primary neurological disorder, more patients with PIMS-TS needed intensive care, but outcomes were similar overall. Further studies should investigate underlying mechanisms for neurological involvement in COVID-19 and the longer-term outcomes. FUNDING: UK Research and Innovation, Medical Research Council, Wellcome Trust, National Institute for Health Research

Analyzing and Biasing Simulations with PLUMED

This chapter discusses how the PLUMED plugin for molecular dynamics can be used to analyze and bias molecular dynamics trajectories. The chapter begins by introducing the notion of a collective variable and by then explaining how the free energy can be computed as a function of one or more collective variables. A number of practical issues mostly around periodic boundary conditions that arise when these types of calculations are performed using PLUMED are then discussed. Later parts of the chapter discuss how PLUMED can be used to perform enhanced sampling simulations that introduce simulation biases or multiple replicas of the system and Monte Carlo exchanges between these replicas. This section is then followed by a discussion on how free-energy surfaces and associated error bars can be extracted from such simulations by using weighted histogram and block averaging techniques