This thesis presents a survey of the Invariant Basis Number (IBN) property within the context of Leavitt Path Algebras (LPAs), which lie at the intersection of ring theory, graph theory, and noncommutative algebra. Originating ...

Cosmic rays are protons and electrons accelerated to a speed closer to the speed of light. It has been detected directly only in the vicinity of the Sun. However, they are present all across the galaxy, emphasizing the ...

Aposematism is a major defensive strategy that deters prey by displaying warning colourations indicating its toxicity. Mimicry is one such example which utilises this concept. Mimicry helps prey survive by resembling the ...

The use of natural products and their bioactive analogues are irreplaceable part of medical chemistry used to treat a variety of diseases. The synthesis of these bioactive natural products has been a well-established ...

Synthesis of a material with a bifunctional catalytic property that tends to efficiently detoxify the two major chemical warfare agents (CWAs), nerve agents and mustard gas (HD) simultaneously is highly desirable. ...

Given the rapid advancements in the field of quantum computing, the need for a robust post-quantum cryptosystem has become increasingly urgent. The McEliece cryptosystem, or equivalently the Niederreiter cryptosystem, is ...

Rod-like bacteria control cell width with high precision during growth. For a given species and growth medium, the variation in cell widths in a population is only about 5%. At the same time, the widths appear flexible ...

Quantum synchronization, the emergence of phase locking in quantum systems, has gained significant attention due to its potential applications in quantum technologies. In this thesis, we analytically investigate the resources ...

Lung cancer is the most common cause of cancer-related death worldwide. One hallmark feature of many malignant tumours, including lung cancer, is the stiffening of the stroma. Mechanical cues from the extracellular matrix ...

Autoimmune diseases such as rheumatoid arthritis (RA) often involve prolonged immune dysregulation well before clinical symptoms appear, making timely detection crucial. It can be hypothesised that the morphology of immune ...