Faculty

Research areas that are being pursued actively in the laboratory are broadly described under two categories: (A) Systems Biology, (B) Structural Bioinformatics, both combined towards addressing fundamental aspects of disease processes, obtaining global perspectives of perturbations in disease and application of that knowledge to tackle specific problems in disease diagnosis, drug discovery and immunology. A range of mathematical models, at multiple levels and scales are utilized for these.

Error-Control Coding, Quantum Coding, Information Theory, Data Compression, DNA-Based Data Storage, Discrete Applied Mathematics (a broad umbrella for much of what I do).

Multi-modal Neuroimaging using Machine Learning

Cell Metabolism and related disorders

Seismic Imaging; Seismic Interferometry; Earthquake Seismology

Computational methods in medical imaging, medical image processing (reconstruction/analysis), physiological signal processing, photoacoustic tomography, and diffuse optical tomography.

Computational Materials Physics, Computational algorithms for ab-initio material modeling at extreme-scale, Machine learning for materials design, High-performance computing, Computational solid mechanics, Finite-element methods, open-source code development using finite-elements for density functional theory (DFT-FE).

Engineering models for speech science; Machine learning; Text Analytics.

Light Metals/Composites and Manufacturing processes, Casting & Solidification, Injection moulding of ceramics, metal and polymers, Manufacturing process modelling, Powder Metallurgy, Bio-inspired manufacturing, Mechanics of Light alloys

Development of innovative algorithms to solve optimal and nonlinear control synthesis problems, followed by applying those to challenging real-life problems is the main focus of our lab. Techniques developed in our lab so far include model predictive static programming and its various variants, single network adaptive critic, optimal dynamic inversion, generalized dynamic inversion, neuro-adaptive design etc. Application areas in aerospace include guidance and control of missiles, spacecrafts, lunar lander, aircrafts and UAVs. In bio-medicine, our focus has been computer controlled automatic drug delivery using feedback control theory and also deciphering the control activities of human brain. The feedback drug delivery philosophy has been demonstrated to work well (from in-silico experiments) to effectively cure various cancer problems. An important current research focus is to develop an adaptive and customized artificial pancreas system for Type-1 diabetic patients. Other problems of interest to our lab include path planning and guidance of ground vehicles, vibration control, temperature control, process control etc.

Developing efficient CFD algorithms for fluid flows, including central schemes, kinetic schemes and relaxation schemes; exact capturing of shocks and contact discontinuities; low numerical diffusion methods; meshless or grid-free methods; Lattice Boltzman method; non-standard finite difference methods; aerodynamic shape optimization; algorithms for turbulence simulation.

Cancer, morphogenesis, pattern formation

Tensor Decompositions, Neural Networks, Numerical Linear Algebra, Generalized Inverses of Tensors, Wavelets in Scientific Computing, High-Performance Computing.

Sirtuins in Cardiovascular diseases.

Cellular Neurophysiology, Biophysics of Neurons and Computational Neuroscience.

Turbulent flows, Low-speed & High-speed Flows, Small-scale Turbulence, Machine Learning, Information Theory, Nonlinear Dynamical Systems

Neural mechanisms of learning and memory

Finite Element Analysis, High Performance Computing, Computational Fluid Dynamics, Bio-medical Applications

Structural Biology and Biocomputing, Statistical Crystallography, Algorithm development, Database analysis & maintenance, World Wide Web (WWW) based internet computin.

Groundwater hydrology, agro-hydrology, satellite hydrology using numerical methods, geospatial & geophysical methods, optimization & inverse approaches, and specifically in the following themes.