Applied and Interdisciplinary Mathematics Seminar Friday, October 5, 4:10-5:00pm, 3096 East Hall |
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Abstract |
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Tuberculosis (TB) is the leading cause of death due to infectious
disease world-wide, with three million deaths per year and as many as
two billion latent but infected carriers. A number of factors likely
contribute to differences in tuberculosis levels as observed
throughout the world. The host immune response plays a role, and
evidence suggests correlations between susceptibility to TB and host
genes involved in immune responses. We present a modified S-I-R model
describing a TB epidemic in a population comprised of individuals who
are either inherently more susceptible to TB or neutral. As many of
the studies associating susceptibility to active TB have been
performed in India, we base model demographics on these studies. Our
results indicate that both prevalence and incidence of disease are
greatly increased by a subpopulation with inherent susceptibility to
active TB. In addition, simulations suggest that there are multiple
mechanisms of action of the susceptibility allele at both the host and
population level.
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