Isoclinism in multiplicative Lie algebras

The purpose of this paper is to introduce the notion of isoclinism and cover in a multiplicative Lie algebra which may be helpful to describe all multiplicative Lie algebra structures on a group. Consequently, we give the existence of the stem multiplicative Lie algebra. We also give the necessary and sufficient conditions for the existence of stem cover of a multiplicative Lie algebra

Nilpotency and Capability in multiplicative Lie algebras

This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoroughly examine their relationships with capable and perfect multiplicative Lie algebras

MEDICINAL PLANTS WITH NEUROPHARMACOLOGICAL PROPERTIES FROM INDIAN ORIGIN

Neuropharmacology is the scientific study of the effects of drugs on the central nervous system. Its primary focus is actions of medications for psychiatric and neurologic disorders as well as those of drugs of abuse. The goal of Neuropharmacology is to apply information about drugs and their mechanisms of action, develop safer and more effective treatments and eventually curative and preventive measures for a host of nervous system abnormalities. There are a number of drugs being used in the traditional medicine for treatment of various CNS disorders and presently many of these drugs are being explored scientifically to ascertain their CNS activities. Significant number of studies has been performed to find alternative treatment for diseases of the nervous forum by identifying structures with activity at the central nervous system. However, most of the screenings are usually conducted on an ad hoc basis and not systematically. The initial purpose of this review is to summarize plants with neuropharmacological activities, in particular, those that have not been fully studied and that have molecular mechanisms whose active constituents are responsible for the activities remained to be identified. The second purpose was to identify potential target plants for future studies of new and alternative therapies for the treatment of neurological disorders and neurodegenerative diseases

On the Direct Construction of MDS and Near-MDS Matrices

The optimal branch number of MDS matrices makes them a preferred choice for designing diffusion layers in many block ciphers and hash functions. Consequently, various methods have been proposed for designing MDS matrices, including search and direct methods. While exhaustive search is suitable for small order MDS matrices, direct constructions are preferred for larger orders due to the vast search space involved. In the literature, there has been extensive research on the direct construction of MDS matrices using both recursive and nonrecursive methods. On the other hand, in lightweight cryptography, Near-MDS (NMDS) matrices with sub-optimal branch numbers offer a better balance between security and efficiency as a diffusion layer compared to MDS matrices. However, no direct construction method is available in the literature for constructing recursive NMDS matrices. This paper introduces some direct constructions of NMDS matrices in both nonrecursive and recursive settings. Additionally, it presents some direct constructions of nonrecursive MDS matrices from the generalized Vandermonde matrices. We propose a method for constructing involutory MDS and NMDS matrices using generalized Vandermonde matrices. Furthermore, we prove some folklore results that are used in the literature related to the NMDS code

On the Construction of Near-MDS Matrices

The optimal branch number of MDS matrices makes them a preferred choice for designing diffusion layers in many block ciphers and hash functions. However, in lightweight cryptography, Near-MDS (NMDS) matrices with sub-optimal branch numbers offer a better balance between security and efficiency as a diffusion layer, compared to MDS matrices. In this paper, we study NMDS matrices, exploring their construction in both recursive and nonrecursive settings. We provide several theoretical results and explore the hardware efficiency of the construction of NMDS matrices. Additionally, we make comparisons between the results of NMDS and MDS matrices whenever possible. For the recursive approach, we study the DLS matrices and provide some theoretical results on their use. Some of the results are used to restrict the search space of the DLS matrices. We also show that over a field of characteristic 2, any sparse matrix of order $n\geq 4$ with fixed XOR value of 1 cannot be an NMDS when raised to a power of $k\leq n$. Following that, we use the generalized DLS (GDLS) matrices to provide some lightweight recursive NMDS matrices of several orders that perform better than the existing matrices in terms of hardware cost or the number of iterations. For the nonrecursive construction of NMDS matrices, we study various structures, such as circulant and left-circulant matrices, and their generalizations: Toeplitz and Hankel matrices. In addition, we prove that Toeplitz matrices of order $n>4$ cannot be simultaneously NMDS and involutory over a field of characteristic 2. Finally, we use GDLS matrices to provide some lightweight NMDS matrices that can be computed in one clock cycle. The proposed nonrecursive NMDS matrices of orders 4, 5, 6, 7, and 8 can be implemented with 24, 50, 65, 96, and 108 XORs over $\mathbb{F}_{2^4}$, respectively

Pulmonary Capillary Hemangiomatosis: A Rare Cause of Pulmonary Arterial Hypertension, Presenting as Supraventricular Tachycardia

With a prevalence of less than 1/million, Pulmonary Capillary Hemangiomatosis is a rare disorder of capillary proliferation in the alveolar septae leading to pulmonary arterial hypertension and mimics pulmonary veno-occlusive disease

Efficacy and safety of hydroxychloroquine when added to stable insulin therapy in combination with metformin and glimepiride in patients with type 2 diabetes compare to sitagliptin

Background: The trial was done to evaluate the efficacy and tolerability of hydroxychloroquine when added to stable insulin therapy in combination with metformin and glimepiride in patients with type 2 diabetes (T2DM) compare to sitagliptin.Methods: After two weeks run in period, eligible patients inadequately controlled on long acting, intermediate acting or premixed insulin (HbA1c ≥7.5% and ≤10%), in combination with metformin and glimepiride were randomised 1:1 to the addition of once daily hydroxychloroquine 400mg or sitagliptin 100mg over 24weeks study period. The primary endpoint was HbA1c change from baseline at week 24. Home based glucometer was used to determine finger stick glucose value to detect hypo or hyperglycemia periodically.Results: At 24 weeks, the addition of hydroxychloroquine significantly (p <0.001) reduced HbA1c by 1.3% compared with Sitagliptin which was 0.9%. A greater proportion of patients achieved an HbA1c level <7% while randomised to Hydroxychloroquine as compared with sitagliptin (31 vs. 18% respectively; p <0.001). The addition of hydroxychloroquine significantly (p<0.001) reduced fasting plasma glucose by 31.0mg/dl (vs 23.2mg/dl with sitagliptin) and post prandial plasma glucose by 52.1mg/dl (vs 41mg/dl with sitagliptin) relative to sitagliptin. The difference in mean value of total daily insulin dose showed a highly significant decrease (P <0.0001) from baseline to end of the treatment with hydroxychloroquine i.e. from 41±10.2 to 31.87±16.49 IU as compare to sitagliptin i.e. from 41±10.6 to 37.91±11.71 IU. And also highly significant (P <0.0001) decrease in mean weight was observed at the end of trial with hydroxychloroquine.Conclusions: Hydroxychloroquine decreases HbA1c in patients whose type 2 diabetes is poorly controlled with stable-dose insulin therapy with metformin and glimepiride