Research
My current work at the CCHE is focused on various NIH-funded modeling and data analytic projects to reduce HIV incidence in vulnerable populations.One set of projects involves studying ways to improve awareness and uptake of preexposure prophylaxis (PrEP) among young, Black men who have sex with men (MSM) in Chicago. Broadly, my projects on this study involve using social network data from Facebook as a means to study effective ways of PrEP diffusion, including modeling diffusion using a variety of algorithms, and predictive modeling of missing friendship data ("links") on these networks.
Another set of projects involve studing the impact of incarceration on the HIV epidemic among Black MSM in Chicago, Houston, and Los Angeles. Incarceration causes disruption in the social and sexual networks that people maintain, both inside and outside of correctional facilities. I am modeling the impact of this disruption, and ways to link people to appropriate treatment and PrEP regimens to reduce new infections.
Before coming to Chicago, I worked on stochastic agent-based network modeling of HIV transmission in several other populations: circular migrants, pregnant women, and serodiscordant couples in various regions of Africa, and MSM in the United States.
Some of this work has received recognition from the academic community, including a Best Paper Prize from the American College of Epidemiology, and an Honorable Mention in the Student Award Category, from the International Network for Social Network Analysis (INSNA).
(Recent lectures on research at the CCHE are here. CCHE Director John Schneider goes first, and my talk begins in the 25th minute.)
Computing
Many of my computing projects involve stochastic agent-based network modeling of HIV transmission in different populations worldwide. Others involve empirical data analysis, and modeling diffusion on networks. Code for some of my public projects is on GitHub.With collaborators at the Argonne National Laboratory , I am combining agent-based modeling tools available through the Repast HPC platform with dynamic network modeling tools available through the Statnet project. These programs are being used to study the impact of incarceration on Black MSM. The code is available here.
I have also coauthored 'influcenceR', an R pacakge to compute various centrality metrics on large graphs.
Teaching
I am interested in teaching computational and statistical methods to students with broader scientific interests.At the University of Washington, I twice taught a course in integral calculus, with an emphasis on applications in the biological and social sciences. The challenge as an instructor was to teach a course that was meaningful for students who were more interested in learning how to apply math, than doing math for its own sake. (Sample syllabus is here.) I have also assisted several professors in the College of the Environment in statistical and mathematical courses with a similar applied emphasis.
As an undergraduate student, I tutored in the math and physics departments for two years at Moravian College. Upon graduation, I taught high school courses in math and physics, and Advanced Placement Statistics at Trinity Collegiate School (now Trinity-Byrnes Collegiate School).
I am also interested in supervising graduate students with research interests in computational epidemiology, network science, and mathematical biology.
Selected Publications
- Khanna AS, Goodreau SM, Gorbach PM, Daar E, Little SJ. Modeling the impact of post-diagnosis behavior change on HIV prevalence in Southern California men who have sex with men (MSM). AIDS Behav. 2014 Aug;18(8):1523-31. doi: 10.1007/s10461-013-0646-2.
- Cassels S, Jenness SM, Khanna AS. Conceptual Framework and Research Methods for Migration and HIV Transmission Dynamics. AIDS Behav. 2013 Nov 21. [Epub ahead of print]
- Khanna AS, Dimitrov DT, Goodreau SM. What can mathematical models tell us about the relationship between circular migrations and HIV transmission dynamics? Math Biosci Eng. 2014 Oct 5; 11(5):1065-1090. doi: 10.3934/mbe.2014.11.1065
- Khanna AS, Goodreau SM, Wohlfeiler D, Daar E, Little SJ, Gorbach PM. Individualized diagnosis interventions can add significant effectiveness in reducing HIV incidence among men who have sex with men (MSM):insights from Southern California. Ann Epidemiol. doi: 10.1016/j.annepidem.2014.09.012
- Khanna AS, Roberts ST, Cassels S, Ying R, John-Stewart G, Goodreau SM, et al. Estimating PMTCT's Impact on Heterosexual HIV Transmission: A Mathematical Modeling Analysis. PLoS One. doi:10.1371/journal.pone.0134271 PLoS One. doi: 10.1371/journal.pone.0134271
- Khanna AS, Michaels S, Skaathun B, Morgan E, Green K, Young L, Schneider JA; UConnect Study Team. JAMA Intern Med. doi:10.1001/jamainternmed.2015.6536
A complete list of published writings is here.
Background
I grew up in Mumbai, and completed my schooling at the Mahindra United World College of India. Then, at Moravian College, I majored in mathematics, and self-designed an interdepartmental major in physics and political science. My senior honors' thesis was in mathematical ecology. As part of this project, I worked on Daisyworld, an ecological model that demonstrates how feedback between the abiotic and biotic components of an ecosystem may sustain life within it. My thesis is available here.Upon graduation, I taught math and physics in high school for a year, before joining the University of Washington (UW) as a graduate student. I completed MS degrees from the QERM program (August 2009) and the Statistics department (August 2011), and my PhD in QERM (December 2012). My postdoctoral work was in Global Health at UW's International Clinical Research Center, and in Infectious Diseases and Global Health at the Chicago Center for HIV Elimination (CCHE), University of Chicago Medicine.
At present, I am a Research Assistant Professor at the University of Chicago.