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.

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.

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.

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.

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

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.

CERTAIN RESULTS FOR MULTIVARIATE H-FUNCTION INVOLVING JACOBI POLYNOMIALS

Goyal, S.P.,Garg, R.S. Department of Mathematics 1981 Kyungpook mathematical journal Vol.21 No.1

Clinical effectiveness of combining platelet rich fibrin with alloplastic bone substitute for the management of combined endodontic periodontal lesion

Goyal, Lata The Korean Academy of Conservative Dentistry 2014 Restorative Dentistry & Endodontics Vol.39 No.1

The term "endo-perio" lesion has been proposed to describe the destructive lesion resulting from inflammatory products found in varying degrees in both the periodontium and the pulpal tissues. In most of the cases, clinical symptoms disappear following successful endodontic therapy. However failure after conventional root canal treatment calls for surgical intervention. A 35 year old male patient with endo-perio lesion in right maxillary lateral incisor was treated with platelet rich fibrin (PRF) and alloplastic bone substitute after conventional endodontic therapy. At the end of 6 months there was gain in clinical attachment, increased radiographic bone fill and reduction in probing depth which was maintained till 18 month follow-up. Present case report aims to evaluate the efficacy of PRF and alloplastic bone substitute in the management of intrabony defect associated with endo-perio lesion in maxillary lateral incisor because the healing potential of PRF and bone graft has not been widely studied in endodontics. The use of PRF allows the clinician to optimize tissue remodelling, wound healing and angiogenesis by the local delivery of growth factors and proteins. The novel technique described here enables the clinician to be benefited from the full regenerative capacity of this autologous biologic material.

Influence of Surface area, Surface Chemical Structure and Solution pH on the Adsorption of Pb(II) Ions on Activated Carbons

Goyal, Meenakshi,Amutha, R. Korean Carbon Society 2006 Carbon Letters Vol.7 No.2

The influence of carbon surface area, carbon-oxygen groups associated with the carbon surface and the solution pH on the adsorption of Pb(II) ions from aqueous solutions has been studied using three activated carbons. The adsorption isotherms are Type I of BET classification and the data obeys Langmuir adsorption equation. The BET surface area has little effect on the adsorption while it is strongly influenced by the presence of acidic carbon oxygen surface groups. The amount of these surface groups was enhanced by oxidation of the carbons with different oxidizing agents and reduced by eliminating these groups on degassing at different temperatures. The adsorption of Pb(II) ions increases on each oxidation and decreases on degassing the oxidized carbons. The increase in adsorption on oxidation has been attributed to the formation of acidic carbon-oxygen surface groups and the decrease to the elimination of these acidic surface groups on degassing. The adsorption is also influenced by the pH of the aqueous solution. The adsorption is only small at pH values lower than 3 but is considerably larger at higher pH values. Suitable mechanisms consistent with the adsorption data have been suggested.