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  1. Article

    Open Access

    Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics

    We introduce the Weak-form Estimation of Nonlinear Dynamics (WENDy) method for estimating model parameters for non-linear systems of ODEs. Without relying on any numerical differential equation solvers, WENDy ...

    David M. Bortz, Daniel A. Messenger, Vanja Dukic in Bulletin of Mathematical Biology (2023)

  2. No Access

    Article

    Viral transmission and infection prevalence in a cannibalistic host–pathogen system

    Cannibalism, while prevalent in the natural world, is often viewed as detrimental to a cannibal’s health, especially when they consume pathogen-infected conspecifics. The argument stems from the idea that cann...

    Benjamin G. Van Allen, Forrest Dillemuth, Vanja Dukic, Bret D. Elderd in Oecologia (2023)

  3. No Access

    Living Reference Work Entry In depth

    MONOPOLI: A Customizable Model for Forecasting COVID-19 Around the World Using Alternative Nonpharmaceutical Intervention Policy Scenarios, Human Movement Data, and Regional Demographics

    During the global COVID-19 pandemic, policy makers, public health practitioners, medical experts, and laypersons have sought data that would enable evidence-based decisions about which interventions would be m...

    Christopher H. Arehart, Jay H. Arehart in Handbook of Visual, Experimental and Compu…

  4. No Access

    Article

    A note on species richness and the variance of epidemic severity

    The commonly observed negative correlation between the number of species in an ecological community and disease risk, typically referred to as “the dilution effect”, has received a substantial amount of attent...

    Peter Shaffery, Bret D. Elderd, Vanja Dukic in Journal of Mathematical Biology (2020)

  5. Article

    Open Access

    Tracking U.S. Pertussis Incidence: Correlation of Public Health Surveillance and Google Search Data Varies by State

    The Morbidity and Mortality Weekly Reports of the U.S. Centers for Disease Control and Prevention document a raw proxy for counts of pertussis cases in the U.S., and the Project Tycho (PT) database provides an...

    Christopher H. Arehart, Michael Z. David, Vanja Dukic in Scientific Reports (2019)

  6. No Access

    Article

    Bayesian-based survival analysis: inferring time to death in host-pathogen interactions

    The standard approach to modeling survival times, or more generally, time to event data, is often based on parametric assumptions that may not fit the data collected well. One of the goals of this article is t...

    Sama Shrestha, Bret D. Elderd, Vanja Dukic in Environmental and Ecological Statistics (2019)

  7. No Access

    Article

    Combining principal component analysis with parameter line-searches to improve the efficacy of Metropolis–Hastings MCMC

    When Markov chain Monte Carlo (MCMC) algorithms are used with complex mechanistic models, convergence times are often severely compromised by poor mixing rates and a lack of computational power. Methods such a...

    David A. Kennedy, Vanja Dukic, Greg Dwyer in Environmental and Ecological Statistics (2015)

  8. Article

    Open Access

    Research on Emissions, Air quality, Climate, and Cooking Technologies in Northern Ghana (REACCTING): study rationale and protocol

    Cooking over open fires using solid fuels is both common practice throughout much of the world and widely recognized to contribute to human health, environmental, and social problems. The public health burden ...

    Katherine L Dickinson, Ernest Kanyomse, Ricardo Piedrahita in BMC Public Health (2015)

  9. Article

    Erratum to: The Role of Weather in Meningitis Outbreaks in Navrongo, Ghana: A Generalized Additive Modeling Approach

    Vanja Dukić, Mary Hayden in Journal of Agricultural, Biological, and E… (2012)

  10. No Access

    Article

    The Role of Weather in Meningitis Outbreaks in Navrongo, Ghana: A Generalized Additive Modeling Approach

    Bacterial (meningococcal) meningitis is a devastating infectious disease with outbreaks occurring annually during the dry season in locations within the ‘Meningitis Belt’, a region in sub-Saharan Africa stretc...

    Vanja Dukić, Mary Hayden in Journal of Agricultural, Biological, and E… (2012)

  11. No Access

    Article

    Hazard of recurrence and adjuvant treatment effects over time in lymph node-negative breast cancer

    Background For patients with axillary lymph node-negative breast cancer, benefits from adjuvant therapy are smaller than in node-positive disease and thus more selective use is warranted, prompting development of...

    James J. Dignam, Vanja Dukic, Stewart J. Anderson in Breast Cancer Research and Treatment (2009)