Lakshminath Bezbaroa Central Library Digital Repository
Welcome to the Institutional Digital Repository of Lakshminath Bezbaroa Central Library.
- This digital archive comprised of the Institutes' intellectual output.
- It manages, preserves & makes available the academic works of faculty and research scholars.
- It is established to facilitate deposit of digital content of scholarly or heritage nature.
- Allowing academics & their departments to share & preserve contents in a managed environment.
Communities in Gyan-IR
Select a community to browse its collections.
Recent Submissions
Time Domain Analysis of a Floating Ice Sheet due to a Moving Load over Different Types of Sea-beds
(2026) Nehra, Mahesh Kumar
This thesis presents a comprehensive investigation into the dynamic response of a floating ice sheet subjected to moving loads under diverse physical and environmental conditions. The study examines the effects of different seabed configurations--porous, undulating, flexible, and trench-shaped along with the presence or absence of uniform currents and variable-speed moving loads. The governing equations are formulated using linear potential flow theory, assuming an incompressible, inviscid, and irrotational fluid. Analytical and semi-analytical techniques, including Fourier transform, Laplace Fourier transform, and asymptotic methods, are employed to derive expressions for ice sheet deflection under concentrated and distributed loads. Dispersion relations are established to analyze the variations in phase and group velocities and to understand both steady and transient ice responses.
Characterizations and Properties of Word-representable Graph Classes
(2026) Srinivasan, Eshwar
A graph G with vertex set V (G) and edge set E(G) is said to be word-representable if there exists a word w over the alphabet V (G) such that, for any two distinct letters x, y ∈ V (G), the letters x and y alternate in w if and only if xy ∈ E(G).
Study of Certain Classes of ψ -Hilfer Fractional Differential Equations: Qualitative Properties and Some Applications
(2026) Sunil
The theory of fractional differential equations provides a powerful framework for modeling systems with memory and hereditary properties. The ψ-Hilfer fractional derivative serves as a unifying and flexible operator, generalizing several classical derivatives through suitable choices of the weight function y and type parameter B. This dissertation focuses on the qualitative analysis of fractional differential equations involving the ψ-Hilfer derivative, with particular emphasis on Ulam-type stability.
Distributed Algorithms for Treasure Hunt and Variations of Black Hole
(2026) Bhattacharya, Adri
In the last decade, designing distributed algorithms for mobile entities (such as mobile agents) has garnered a lot of interest. There are many fundamental problems in this domain, among them our focus in this thesis has been on search and exploration problems. The thesis diversifies from an underlying topology being a continuous domain (such as the Euclidean plane) to a discrete domain (i.e., a graph network). Under the graph networks, the thesis focuses on both static as well as dynamic graphs. The first two problems broadly fall under the class of search problems.
Mechanistic Understanding of Glycolysis in Japanese Encephalitis Virus Infected Neuronal Cells with Special Reference to Hypoxia-inducible Factor-1α and Pyruvate Kinase M2
(2026) Bohara, Vijay Singh
Viruses impose substantial metabolic stress on the host cells, driving the increased biosynthesis of nucleotides, lipids, and proteins required for supporting rapid viral replication in the infected cells. In the current study, we have shown that Japanese encephalitis virus (JEV) profoundly reprograms neuronal metabolism by stimulating glycolysis. This glycolytic reprogramming was mediated by the Hypoxia-inducible factor-1 (HIF-1α) dependent upregulation of glycolytic enzymes. Mechanistically, JEV infection is associated with reactive oxygen species (ROS) accumulation in the infected cells which contributes to the stabilization of HIF-1α, thereby inducing the transcription of glycolytic genes and sustaining glycolytic flux. We further identify pyruvate kinase isoform M2, as a novel host factor regulating JEV replication in neuronal cells. PKM2 regulates JEV replication through STAT3 activation, leading to modulation of proinflammatory cytokines such as TNF-α and IL-1β. Additionally, we demonstrate the cellular co-localization and interaction of PKM2 with the NS1 protein of JEV, although the functional implication of this interaction remains to be elucidated. Collectively, the study provides insight into the mechanism underlying the JEV-induced glycolytic reprogramming in neuronal cells and highlight key metabolic enzymes as potential targets for antiviral therapeutic strategies.