Current research interests at the SDSU-DiMoLab include applied mathematics, with specific areas of interest in mathematical biology (viral dynamics and immune systems, epidemiology, and ecology),
mathematical and computational modeling, differential equations, dynamical systems, optimal control, and biostatistics. Our focus is to study within-host and between-hosts dynamics of infectious
diseases such as CoVID-19, HIV, influenza, dengue fever, malaria, Zika, tuberculosis, hepatitis, and typhoid. In our lab, we develop various mathematical and computational models as well as techniques
for anlayzing these models in order to answer underlying biological and biomedical questions related to the complex dynamics of infectious diseases.
Selected Research Topics:
SARS-CoV-2 virus and COVID-19 disease. Some of the projects ongoing in the lab are:
Within-host dynamics of SARS-CoV-2
SARS-CoV-2 environmental researvoirs
Impact of immunoglobulin transfer therapy (IgT) on CoVID-19 epidemics
Community based public health measures in controlling COVID-19 epidemics
Modeling COVID-19 risk in population with comorbidity
Within-host HIV dynamics. Some of the projects ongoing in the lab are:
HIV infection under drugs of abuse
HIV infection in the brain
Early treatment for controling HIV latent reservoir
Nanoparticle based therapy for HIV prevention
Probability of HIV infection depending upon the disease stage of the source partner
Between-hosts HIV dynamics. Some of the projects ongoing in the lab are:
Impact of treatment on HIV transmission
HIV-TB co-infection
Linking within-host HIV infection to between-hosts transmission dynamics of HIV
Vector-borne diseases. Some of the projects ongoing in the lab are:
Effects of environment on spatio-temporal dynamics of dengue transmission through mosquito
Zika virus transmission: parameters, prevention and control
Spatio-temporal spread of lyme disease
Transmission dynamics of Malaria
Transmission of diseases through environment. Some of the projects ongoing in the lab are:
Effects of environmetal temperature on spatio-temporal dynamics of avian influenza
