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113,492 results on '"Kaushik, A."'

195. On the singular problem involving $g$-Laplacian

Author

Bal, Kaushik, Mishra, Riddhi, and Mohanta, Kaushik

Subjects
Mathematics - Analysis of PDEs, 35R11, 35J62
Abstract

In this paper, we show that the existence of a positive weak solution to the equation $(-\Delta_g)^s u=f u^{-q(x)}\;\mbox{in}\; \Omega,$ where $\Omega$ is a smooth bounded domain in $R^N$, $q\in C^1(\overline{\Omega})$, and $(-\Delta_g)^s$ is the fractional $g$-Laplacian with $g$ is the antiderivative of a Young function and $f$ in suitable Orlicz space subjected to zero Dirichlet condition. This includes the mixed fractional $(p,q)-$Laplacian as a special case. The solution so obtained is also shown to be locally H\"older continuous., Comment: 15pp

Published
2023

196. Magnetic fractional Poincar\'e inequality in punctured domains

Author

Bal, Kaushik, Mohanta, Kaushik, and Roy, Prosenjit

Subjects
Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 26D15, 35A23, 46E35
Abstract

We study Poincar\'e-Wirtinger type inequalities in the framework of magnetic fractional Sobolev spaces. In the local case, Lieb-Seiringer-Yngvason [E. Lieb, R. Seiringer, and J. Yngvason, Poincar\'e inequalities in punctured domains, Ann. of Math., 2003] showed that, if a bounded domain $\Omega$ is the union of two disjoint sets $\Gamma$ and $\Lambda$, then the $L^p$-norm of a function calculated on $\Omega$ is dominated by the sum of magnetic seminorms of the function, calculated on $\Gamma$ and $\Lambda$ separately. We show that the straightforward generalisation of their result to nonlocal setup does not hold true in general. We provide an alternative formulation of the problem for the nonlocal case. As an auxiliary result, we also show that the set of eigenvalues of the magnetic fractional Laplacian is discrete.

Published
2023

198. Talk To A Scientist: A Framework for a Webinar-Based Outreach Program for Scientists to Engage with K-12 Students

Author

Mhade, Shreeya, Kadam, Snehal, and Kaushik, Karishma S.

Abstract

Science outreach programs that enable real-time interactions between scientists and school-aged children are known to positively impact learning gains and students' perceptions of scientists. To expand K-12 outreach by scientists, it is important to build structured outreach programs which offer scientists well-defined opportunities, while providing school students regular and diverse interactions. We describe Talk To A Scientist, a science outreach platform in India, where scientists use a webinar-based approach to share their research with K-12 students (6 to 16 years). Running weekly for nearly 3 years, Talk To A Scientist has hosted over 100 live interactions, with a wide reach to participants across the country. Here, we outline the framework used to build Talk To A Scientist and discuss key gains, considerations, and challenges in the development of the program. We also suggest potential adaptations with which this framework can serve as a guideline for the implementation of similar K-12 outreach programs across diverse country- and context-specific settings.

Published
2023

199. Lewy body dementia: Overcoming barriers and identifying solutions.

Author

Bloom, Leah, Boeve, Bradley, Cha, Jang-Ho, Denslow, Maria, Ferman, Tanis, Galasko, Douglas, Galvin, James, Gomperts, Stephen, Irizarry, Michael, Kantarci, Kejal, Kaushik, Harsh, Kietlinski, Matt, Koenig, Aaron, Leverenz, James, McKeith, Ian, McLean, Pamela, Montine, Thomas, Moose, Sandra, OBrien, John, Panier, Valery, Ramanathan, Sharad, Ringel, Michael, Scholz, Sonja, Small, Jonnell, Sperling, Reisa, Taylor, Angela, Taylor, John-Paul, Ward, Rebecca, Witten, Lisa, Hyman, Bradley, Agarwal, Kanishka, Backler, Wendi, and Bayram, Ece

Subjects
Lewy body dementia, funding sources, natural language processing, research trends, Humans, Lewy Body Disease
Abstract

Despite its high prevalence among dementias, Lewy body dementia (LBD) remains poorly understood with a limited, albeit growing, evidence base. The public-health burden that LBD imposes is worsened by overlapping pathologies, which contribute to misdiagnosis, and lack of treatments. For this report, we gathered and analyzed public-domain information on advocacy, funding, research outputs, and the therapeutic pipeline to identify gaps in each of these key elements. To further understand the current gaps, we also conducted interviews with leading experts in regulatory/governmental agencies, LBD advocacy, academic research, and biopharmaceutical research, as well as with funding sources. We identified wide gaps across the entire landscape, the most critical being in research. Many of the experts participated in a workshop to discuss the prioritization of research areas with a view to accelerating therapeutic development and improving patient care. This white paper outlines the opportunities for bridging the major LBD gaps and creates the framework for collaboration in that endeavor. HIGHLIGHTS: A group representing academia, government, industry, and consulting expertise was convened to discuss current progress in Dementia with Lewy Body care and research. Consideration of expert opinion,natural language processing of the literature as well as publicly available data bases, and Delphi inspired discussion led to a proposed consensus document of priorities for the field.

Published
2024

200. An inflamed tumor cell subpopulation promotes chemotherapy resistance in triple negative breast cancer.

Author

Jacobo Jacobo, Mauricio, Donnella, Hayley, Sobti, Sushil, Kaushik, Swati, Goga, Andrei, and Bandyopadhyay, Sourav

Subjects
Humans, Triple Negative Breast Neoplasms, Cell Line, Tumor, Signal Transduction, Phenotype
Abstract

Individual cancers are composed of heterogeneous tumor cells with distinct phenotypes and genotypes, with triple negative breast cancers (TNBC) demonstrating the most heterogeneity among breast cancer types. Variability in transcriptional phenotypes could meaningfully limit the efficacy of monotherapies and fuel drug resistance, although to an unknown extent. To determine if transcriptional differences between tumor cells lead to differential drug responses we performed single cell RNA-seq on cell line and PDX models of breast cancer revealing cell subpopulations in states associated with resistance to standard-of-care therapies. We found that TNBC models contained a subpopulation in an inflamed cellular state, often also present in human breast cancer samples. Inflamed cells display evidence of heightened cGAS/STING signaling which we demonstrate is sufficient to cause tumor cell resistance to chemotherapy. Accordingly, inflamed cells were enriched in human tumors taken after neoadjuvant chemotherapy and associated with early recurrence, highlighting the potential for diverse tumor cell states to promote drug resistance.

Published
2024

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