On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-function

S. P. Goyal,R. Mukherjee,R. Jain 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.4

In the present paper, we establish a general theorem exhibiting a relationship existing between the Laplace transform and the generalized Weyl fractional integral operator (FIO) of related functions. This theorem is very general in nature and involves a multidimensional series with essentially arbitrary sequence of complex numbers. By suitably assigning different values to these sequences, one can easily evaluate the generalized Weyl fractional integral operator of special functions of several variables. References of known results which follow as special cases of our theorem are also cited. We have obtained here as applications of the theorem, the generalized Weyl fractional integral of(Srivastava-Daoust) generalized Lauricella function which gives a number of results involving special functions of one or more variables merely by specializing the parameters. The results recently obtained by R. Jain and M. A. Pathan and S. P. Goyal and Ritu Goyal,etc. follow as special cases of our main findings.

Pharmacological classification of herbal anti-asthmatics

Goyal, Bhoomika R,Agrawal, Babita B,Goyal, Ramesh K,Mehta, Anita A Kyung Hee Oriental Medicine Research Center 2007 Oriental pharmacy and experimental medicine Vol.7 No.1

Bronchial asthma is a major public health problem worldwide and the morbidity and mortality of asthma have increased in last few decades. There is high prevalence of usage of alternative traditional system of medicines for the treatment of asthma. Large numbers of medicinal plant preparations have been reported to possess anti-asthmatic effects. Plant cells are now considered to be the chemical factories synthesizing a large variety of chemical compounds. Further, Ayurvedic system of medicine has an elaborate description of asthma from the earliest times describing it as 'Shwasa' meaning disease pertaining to breathing. This review classifies the antiasthmatics herbs based on the possible mechanism of action reported. Thus, these plants can be used to obtain a polyherbal formulation which contains various herbs acting at particular sites of the pathophysiological cascade of asthma for prophylaxis as well as for the treatment of asthma.

Efficacy of interventional treatment strategies for managing patients with cervicogenic headache: a systematic review

Goyal Sonal,Kumar Ajit,Mishra Priyanka,Goyal Divakar 대한마취통증의학회 2022 Korean Journal of Anesthesiology Vol.75 No.1

Cervicogenic headache (CeH) is caused by the disorder of the cervical spine and its anatomical structures. Patients who fail to respond to conservative therapies can undergo interventional treatment. The purpose of this review is to describe the various interventions and compare their relative efficacies. Although a few reviews have been published focusing on individual interventions, reviewing studies on other available treatments and establishing the most efficacious approach is still necessary. We performed a systematic review of studies available on the various interventions for CeH. The PubMed, Embase, and Cochrane databases were searched for literature published between January 2001 and March 2021. Based on the inclusion criteria, 23 articles were included. Two reviewers independently extracted the data from the studies and summarized them in a table. Eleven of twenty-three studies evaluated the effect of radiofrequency ablation (RFA), 5 evaluated occipital nerve blocks, 2 each for facet joint injections and deep cervical plexus blocks, and 1 study each evaluated atlantoaxial (AA) joint injections, cervical epidural injection, and cryoneurolysis. Most of the studies reported pain reduction except 2 studies on RFA. In conclusion, based on the available literature, occipital nerve blocks, cervical facet joint injection, AA joint injection, deep cervical plexus block, cervical epidural injection may be reasonable options in refractory cases of CeH. RFA was found to have favorable long-term outcomes, while better safety has been reported with pulsed therapy. However, our review revealed only limited evidence, and more randomized controlled trials are needed to provide more conclusive evidence.

Investigation into the mechanism of anti-asthmatic action of Lepidium sativum

Goyal, BR,Goyal, RK,Mehta, Anita A Kyung Hee Oriental Medicine Research Center 2008 Oriental pharmacy and experimental medicine Vol.8 No.3

We have studied the possible mechanism of anti-asthmatic action of ethanolic extracts of dried seeds of Lepidium sativum (EXLS, 400 mg/kg) using various experimental models. EXLS produced an increase in the Pre-Convulsion Dyspnoea time induced by histamine and acetylcholine aerosol, a significant reduction in the elevated leucocyte counts in the Broncho-Alveolar Lavage fluid of sensitized guinea-pigs and reduction in the paw edema volume as compared to the control rats. Treatment with EXLS also produced decrease in the elevated histamine release from the sensitized guinea-pig lungs. The anti-asthmatic anti-inflammatory responses of EXLS was supported by improvement in microscopic changes like infiltration of inflammatory cells, submucosal edema, epithelial desquamation and reduced lumen size of the bronchi. The $pD_2$ values of histamine in tracheal chain and taenia-coli were significantly greater and that in lung strip was lower in the sensitized animals as compared to control. Treatment of sensitized guinea pigs with EXLS significantly decreased $pD_2$ values of histamine in all three preparations. Our data suggest the prevention of hyper-responsiveness in bronchial smooth muscles and inhibition of the immediate hypersensitive reaction, histamine release in the lungs and the infiltration of various inflammatory cells as the possible mechanisms of anti-asthmatic activity of EXLS.

Radial Basis (Exact Fit) and Linear Layer (Design) ANN Models for Shelf Life Prediction of Processed Cheese

Sumit Goyal,Gyanendera Kumar Goyal 보안공학연구지원센터(IJUNESST) 2012 International Journal of u- and e- Service, Scienc Vol.5 No.1

Investigation into the mechanism of anti–asthmatic action of Lepidium sativum

BR Goyal,RK Goyal,Anita A Mehta 경희대학교 융합한의과학연구소 2008 Oriental Pharmacy and Experimental Medicine Vol.8 No.3

We have studied the possible mechanism of anti-asthmatic action of ethanolic extracts of dried seeds of Lepidium sativum (EXLS, 400 mg/kg) using various experimental models. EXLS produced an increase in the Pre-Convulsion Dyspnoea time induced by histamine and acetylcholine aerosol, a significant reduction in the elevated leucocyte counts in the Broncho- Alveolar Lavage fluid of sensitized guinea-pigs and reduction in the paw edema volume as compared to the control rats. Treatment with EXLS also produced decrease in the elevated histamine release from the sensitized guinea-pig lungs. The anti-asthmatic anti-inflammatory responses of EXLS was supported by improvement in microscopic changes like infiltration of inflammatory cells, submucosal edema, epithelial desquamation and reduced lumen size of the bronchi. The pD2 values of histamine in tracheal chain and taenia-coli were significantly greater and that in lung strip was lower in the sensitized animals as compared to control. Treatment of sensitized guinea pigs with EXLS significantly decreased pD2 values of histamine in all three preparations. Our data suggest the prevention of hyper-responsiveness in bronchial smooth muscles and inhibition of the immediate hypersensitive reaction, histamine release in the lungs and the infiltration of various inflammatory cells as the possible mechanisms of anti-asthmatic activity of EXLS. We have studied the possible mechanism of anti-asthmatic action of ethanolic extracts of dried seeds of Lepidium sativum (EXLS, 400 mg/kg) using various experimental models. EXLS produced an increase in the Pre-Convulsion Dyspnoea time induced by histamine and acetylcholine aerosol, a significant reduction in the elevated leucocyte counts in the Broncho- Alveolar Lavage fluid of sensitized guinea-pigs and reduction in the paw edema volume as compared to the control rats. Treatment with EXLS also produced decrease in the elevated histamine release from the sensitized guinea-pig lungs. The anti-asthmatic anti-inflammatory responses of EXLS was supported by improvement in microscopic changes like infiltration of inflammatory cells, submucosal edema, epithelial desquamation and reduced lumen size of the bronchi. The pD2 values of histamine in tracheal chain and taenia-coli were significantly greater and that in lung strip was lower in the sensitized animals as compared to control. Treatment of sensitized guinea pigs with EXLS significantly decreased pD2 values of histamine in all three preparations. Our data suggest the prevention of hyper-responsiveness in bronchial smooth muscles and inhibition of the immediate hypersensitive reaction, histamine release in the lungs and the infiltration of various inflammatory cells as the possible mechanisms of anti-asthmatic activity of EXLS.

Pharmacological classification of herbal anti-asthmatics

Bhoomika R Goyal,Babita B Agrawal,,Ramesh K Goyal,Anita A Mehta 경희대학교 융합한의과학연구소 2007 Oriental Pharmacy and Experimental Medicine Vol.7 No.1

Bronchial asthma is a major public health problem worldwide and the morbidity and mortality of asthma have increased in last few decades. There is high prevalence of usage of alternative traditional system of medicines for the treatment of asthma. Large numbers of medicinal plant preparations have been reported to possess anti-asthmatic effects. Plant cells are now considered to be the chemical factories synthesizing a large variety of chemical compounds. Further, Ayurvedic system of medicine has an elaborate description of asthma from the earliest times describing it as ‘Shwasa’ meaning disease pertaining to breathing. This review classifies the antiasthmatics herbs based on the possible mechanism of action reported. Thus, these plants can be used to obtain a polyherbal formulation which contains various herbs acting at particular sites of the pathophysiological cascade of asthma for prophylaxis as well as for the treatment of asthma.

Risk Factors and Costs of Oral Cancer in a Tertiary Care Hospital in Delhi

Goyal, Sandeep,Tiwari, Vijay Kumar,Nair, Kesavan Sreekantan,Raj, Sherin Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.4

The present study conducted with 100 oral cancer patients at a private tertiary care hospital in Delhidemonstrated that stage III cancer was associated with longer use of tobacco and poor oral hygiene. There was also statistically significant association (p<.05) between consumption of tobacco and alcohol. More than 60% treatment expenditure was on surgery followed by accommodation (9%) and investigations (8%). The effect of tobacco was well known among patients as 76% of the patients knew that common cancer in tobacco chewer is 'oral cancer', 22% of the patients however responded that they did not know which cancer is common in tobacco chewers. 58% said that they learnt about ill effects of tobacco from media while 24% said they learnt from family and friends. Out of 78 tobacco users, 60 (77%) said that they never received help to quit tobacco while 18(23%) have received help to quit.

THE H-FUNCTION OF TWO VARIABLES

Goyal, S.P. Department of Mathematics 1975 Kyungpook mathematical journal Vol.15 No.1

Classical and Bayesian studies for a new lifetime model in presence of type-II censoring

Goyal, Teena,Rai, Piyush K,Maury, Sandeep K The Korean Statistical Society 2019 Communications for statistical applications and me Vol.26 No.4

This paper proposes a new class of distribution using the concept of exponentiated of distribution function that provides a more flexible model to the baseline model. It also proposes a new lifetime distribution with different types of hazard rates such as decreasing, increasing and bathtub. After studying some basic statistical properties and parameter estimation procedure in case of complete sample observation, we have studied point and interval estimation procedures in presence of type-II censored samples under a classical as well as Bayesian paradigm. In the Bayesian paradigm, we considered a Gibbs sampler under Metropolis-Hasting for estimation under two different loss functions. After simulation studies, three different real datasets having various nature are considered for showing the suitability of the proposed model.