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   Epidemic Modeling of TB and HIV

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Marissa Renardy, Denise E. Kirschner, Marisa Eisenberg, Structural identifiability analysis of age-structured PDE epidemic models, Journal of Mathematical Biology, 84:9, 2021, DOI: 10.1007/s00285-021-01711-1, PMID: 34982260, PMCID: 8724244,

Marissa Renardy, Denise E. Kirschner, A Framework for Network-Based Epidemiological Modeling of Tuberculosis Dynamics Using Synthetic Datasets, Bulletin of Mathematical Biology, Volume 82, Issue 6, 2020 DOI: 10.1007/s11538-020-00752-9, PMID: 32535697, PMCID: 8631185,

Marissa Renardy, Denise Kirschner, Evaluating vaccination strategies for tuberculosis in endemic and non-endemic settings, Journal of Theoretical Biology, Volume 469, 21 May 2019, Pages 1-11, DOI: 10.1016/j.jtbi.2019.02.020, PMID: 30851550, PMCID: 6447051

Giorgio Guzzetta, Marco Ajelli, Zhenhua Yang, Leonard N Mukasa, Naveen Patil, Joseph H Bates, Denise E Kirschner, Stefano Merler, Effectiveness of contact investigations for tuberculosis control in Arkansas, Journal of Theoretical Biology, Volume 380, 7 September 2015, Pages 238-246, DOI: 10.1016/j.jtbi.2015.05.031, PMID: 26051196, PMCID: 4522372

Guzzetta G, Ajelli M, Yang Z, Merler S, Furlanello C, Kirschner D, Modeling socio-demography to capture TB transmission in a low burden setting, J. Theor. Biology, 2011, Nov 21;289:197-205. Epub 2011 Sep 3., DOI: 10.1016/j.jtbi.2011.08.032, PMID: 21906603, PMCID: 3208139

Singer, B.H., D.E. Kirschner, Influence of Backward Bifurcation on Interpretation of R0 in a Model of Epidemic Tuberculosis with Reinfection Journal of Mathematical Biosciences and Engineering. Volume 1, Number 1, June 2004 pp. 81-93, PMID: 20369961, PMCID: (exempt)

Murphy B.M., Singer B.H., and Kirschner D. On the Treatment of TB in hertrogenous populations.   J Theor Biol, 223: pp 391-404., 2003, PMID: n/a, PMCID: (exempt)

Murphy B.M., Singer B.H., Anderson S., and Kirschner D. Comparing Epidemic Tuberculosis in Demographically Distinct Hetergeneous Populations.   Math. Biosciences 180: pp 161-185, 2002, PMID: 12387922, PMCID: (exempt)

Blower S, Koelle K, Kirschner D, and Mills J. Live attenuated HIV vaccines: Predicting the tradeoff between efficacy and safety. PNAS 98: 3618-3623, 2001, DOI: 10.1073/pnas.061029998, PMID: 11248127, PMCID: 30702

Sullivan, A, Wigginton, J, Kirschner, D. The Coreceptor mutation CCR5(Delta)32 influences the dynamics of HIV epidemics and is selected for by HIV. PNAS 98:10214-10219, 2001, DOI: 10.1073/pnas.181325198, PMID: 11517319, PMCID: 56941

Kirschner D. A diffusion model for AIDS in a closed, heterosexual populations: Estimating rates of infection. SIAM J Appl Math 56:143-166, 1996, PMID: n/a, PMCID: (exempt)

Kirschner D. AIDS in the Heterosexual Population. In: Lakshmikantham V (ed): Proceedings of the First World Congress (Walter de Gruyter Publishers, Berlin, 1995) pp. 3149-3161, PMID: n/a, PMCID: n/a, NIHMSID: n/a


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