Thesis title: "Taylor Dispersion in Pulsatile Non-Newtonian Tube Flow with Wall Absorption"

My doctoral work investigated unsteady solute dispersion in pulsatile non-Newtonian flows with reactive wall absorption, highlighting deviations from Gaussian behavior and their implications for physiological transport processes.

At MIT, I developed mechanistic mathematical models for the formation of solid lipid nanoparticles used in nucleic-acid delivery. This work coupled computational fluid dynamics of mixer flows with population balance modeling of nucleation, growth, and aggregation processes, enabling predictive understanding of nanoparticle size distributions relevant to pharmaceutical manufacturing.

My current research focuses on developing mathematical and mechanistic models that describe the cross-linking and degradation kinetics of hyaluronic acid–based (HA–BDDE) hydrogels under varying pH and temperature conditions. I investigate how rheological properties, such as storage and loss moduli (G′, G′′) and viscosity, evolve with processing parameters, including NaOH concentration, incubation temperature, and intrinsic viscosity.

The work integrates reaction kinetics with generalized Maxwell viscoelastic models, bridging experimental rheology, FTIR chemistry, and microscopic morphology to enable predictive frameworks for pharmaceutical filler formulation and optimization.