In this thesis, we study the theory of parametrized complexity and examine parameterized
complexity of the Hiding Leader problem. We discuss standard tools and techniques
for showing the fixed-parameter tractability of ...
Neurons being modeled into conductance-based models is extant in the literature since
Hodgkin and Huxley. These models often show a rich variety of behaviors as nonlinear dy-
namical systems. The Hodgkin-Huxley model, ...
Humans have an inherent ability to visually perceive small numerosities (the cardinality of a set). According to several studies, the LIP and other IPS regions of the brain include the neurological substrates for the ...
Climate change is predicted to change the distribution of species worldwide. Predictive models are required to help forecast these ecosystem responses. However, to build such models, the mechanisms behind the ecological ...
The objective of this project is to examine the literature on the pricing of American options in some theoretical market models. The initial motivation was to examine the pricing of American options in a semi-Markov ...
Sympathetic innervation is critical for the proper development and functioning of its target tissues. Sympathetic innervation of an organ is dependent on target-derived neurotrophic cues such as NGF which drive the final ...
Molecular Dynamics simulations of Condensed matter systems are known to have very slow dynamics and thus often leading to poor sampling of the phase space. This can lead to wrong interpretation of system’s macroscopic ...
Understanding forest ecosystems is an enormous task, and long term monitoring of individuals traits and processes give us critical insights into this subject. Studies on tree growth are rare in the Indian subcontinent, ...
A Gram-negative soil bacterium, Myxococcus xanthus, has a complex life cycle that is dependent on its motility. It is known to have two types of directed motility, social motility (S-motility) and gliding or adventurous ...
The cultural transmission of birdsongs has been proven to be of significant importance. Several studies have found male birds interacting with neighbouring birds in the adjacent territories for purposes such as territorial ...
The hydrogen bond plays a crucial role in various biomolecules, supramolecules, and materials. Despite having weak strength, it shows excellent applications and explanations of many structures. Even after 100 years of its ...
Chromatin is a highly dynamic DNA-protein complex that contributes to various essential processes in eukaryotes, including packaging of genomes. The fundamental unit of chromatin, the nucleosome core particle, comprises ...
Fire incidences have recently increased due to climate change and other human-induced factors. Due to incidents such as stubble burning in Punjab-Haryana, forest fires in various parts of India, like the north-east and ...
Brain plasticity is the phenomenon by which the neural circuits rewire due to the impact of various environmental cues and stimuli, which helps in adapting to the environment. From dendritic spine modulations to the birth ...
Short tandem repeats (STR) or simple sequence repeats (SSR), or microsatellites are 1-6 nucleotide or sometimes 1-10 nucleotide long repetitive motifs of DNA. These regions of DNA are known to be prone to de novo mutations, ...
Thioureas/Thiosemicarbazones are small molecules studied extensively in drug design due to their wide range of biological activities. Selenium is shown to be involved in various metabolic processes in the human body, and ...
The following thesis attempts to study the effects of inhomogeneity in matter distribution on the average expansion of the universe. The toy models in literature are modified in the direction of generality by inducing a ...
The aim of this project is to probe the characteristic magnetic properties of elemental
gadolinium using the technique of AC magnetic susceptibility. To this end, a home made
AC susceptometer was used to probe a ...
We discuss several aspects of Bianchi groups, particularly from a computational point of
view, in an attempt to gain acumen around the Bergeron-Venkatesh conjecture. To get there,
we come across a variety of concepts and ...
Homological algebra is the study of homology in an algebraic setting. In this project we
explore various standard tools of homological algebra such as Ext groups, Tor groups, Long exact sequence of cohomology etc, and the ...