On the principle of host evolution in host-pathogen interactions We use a two-host one pathogen immuno-epidemiological model to argue that the principle for host evolution, when the host is subjected to …
Carcinogenesis The multistage model for carcinogenesis was developed in the 1950’s.  The model is largely attributed to Armitage and Doll in a 1954 paper in the British Journal of Cancer. …
The impact of resource abundance on consumer encounter rates (with an application to pathogen invasion risk) Territorial animals share a variety of common resources, which can be a major driver …
The Perron-Frobenius theorem and its applications The Perron-Frobenius theorem states that a positive matrix admits a positive principal eigenvalue with associated posited eigenvalue. I will discuss the applications of this result for dynamics …
Using mathematical model to understand the impact of various preventive and control measures on the dynamics of visceral leishmaniasis in Brazil Visceral leishmaniasis (VL) is a zoonosis with global distribution. …
Calculating Human to Human Avian Influenza R0Â via Likelihood and Jacobian Approach The transmission of avian influenza between humans is extremely rare, and it mostly affects individuals who are in contact …
Measuring the Electrostatic Drag of Dyaction Dynactin, an activator of dynein, connects intracellular cargo to dynein motors. Â Linear stochastic models are developed to describe the interaction of intracellular cargo, an …
Persistence and dynamics in a metapopulation model of infection We consider a metapopulation model of an Infectious Salmon Anemia virus (ISAv) infection on a network of patches connected via diffusion of …
Epidemic Models Structured by Immunological Variables We develop a differential-integral equation model of epidemics in an animal population structured by immunological variables such as mean viral load and mean T-cell …
Quantifying the Burden of Somatic Evolution in the Context of Cancer and Aging Somatic tissue evolves over a vertebrate’s lifetime due to the accumulation of mutations in stem cell populations. …