Browsing Interdisciplinary mathematical sciences (IMS) by Title
Now showing items 7-15 of 15
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Generalized local projection stabilized finite element methods for boundary value problems
The primary goal of this thesis work is to study a priori analysis based on the generalized local projection stabilized (GLPS) finite element methods for the system of linear partial differential equations of first and ... -
Genomics-based Assessments of Stemness and DNA Damage Response in Oral Cancer
Gingivobuccal oral squamous cell carcinoma (OSCC-GB) is a prominent clinical subtype of head and neck squamous cell carcinoma in India, predominantly affecting habitual users of smokeless tobacco. The genetic basis of ... -
Integrative multi-platform approach to identify biomarkers of diabetes-associated breast cancer progression
Breast cancer (BrC) is the leading cause of cancer-related death among women worldwide, including in India. Major risk factors for BrC include genetic predisposition, mutations in BRCA genes, post-menopausal hormonal ... -
Modelling stimulus dependencies and temporal characteristics of Gamma Rhythm in Macaque Primary Visual Cortex
Gamma rhythm refers to oscillatory neural activity between 30 and 80 Hz, which represents the interaction between different classes of neurons. Gamma in the primary visual cortex (V1) is generated intrinsically while ... -
Multi-scale Modelling of Immune Response and Disease Spread: Methods and Applications
Diseases are multi-scale processes, with the precise combination of events at different scales both qualitatively and quantitatively dictating the final phenotype. Recognising that immune response is a key determinant of ... -
Network models uncover key molecular perturbations in complex human diseases
Biological systems are complex networks of molecular components that function in a tightly controlled manner. Any form of perturbation in these components or their associated interactions affects the normal physiology of ... -
Neural computations underlying attention and expectation
Our senses are inundated with an abundance of information at each instant. Attention and expectation are two cognitive processes that enable filtering this information to better navigate our environment. Importantly, ... -
Representation of Natural Stimuli in Neural Signals across Scales and Frequencies
Neural activity from the brain can be recorded at different scales using a variety of electrodes, which vary in their resolution, cortical spread and invasiveness. The electroencephalogram (EEG) is recorded from the scalp, ... -
Steady state properties of discrete and continuous models of nonequilibrium phenomena
The understanding of nonequilibrium phenomena, of fundamental importance in statistical physics, has great implications for many physical, chemical, and biological systems. Such phenomena are observed almost everywhere ...