Research Projects

This proposal aims to study directly transmitted virus pathogenesis process in three distinct parts that include infection uptake, spread of viruses in the blood circulatory system, and establishment of infection in different organs via development of a mathematical model, linking model to experimental information, and validating model outcomes. The first part of infection uptake will require mathematical formulation using computational fluid dynamics approach that considers Navier-Stokes equation and model reduction through perturbation theory. The second part involves identification of experimental data, development of statistical models for linking mathematical model with experimental information on blood and virus characteristics through inverse problem approach. The final part constitutes validation of model components via use of alternative data. The nature of blood flow will be captured based on its rheological properties and available data available on interactions between the blood and viruses propagating through the blood flow. Since, momentum, energy equations and equation of motion (BBO equation) are highly non-linear therefore a suitable approximations and numerical schemes will be employed to simulate the velocity vectors, thermal characteristics and viruses' trajectories in circulatory system.