58 citations · 77 across the 7 of their papers we have counts for
7 papers
Tracking dynamics of superspreading through contacts, exposures, and transmissions in edge-based network epidemics
Ari S. Freedman, Bjarke F. Nielsen, Maximillian M. Nguyen +2
Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and t…
The Complex Interplay Between Risk Tolerance and the Spread of Infectious Diseases
Maximilian Nguyen, Ari Freedman, Matthew Cheung +4
Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmen…
Upper Bounds on Overshoot in SIR Models with Nonlinear Incidence
Maximilian Nguyen
We expand the calculation of the upper bound on epidemic overshoot in SIR models to account for nonlinear incidence. We lay out the general procedure and restrictions to perform th…
Fundamental Bound on Epidemic Overshoot in the SIR Model
Maximilian Nguyen, Ari Freedman, Sinan Ozbay +1
We derive an exact upper bound on the epidemic overshoot for the Kermack-McKendrick SIR model. This maximal overshoot value of 0.2984... occurs at = 2.151... . In consideri…
Parameterizing Network Graph Heterogeneity using a Modified Weibull Distribution
Sinan A. Ozbay, Maximilian M. Nguyen
We present a simple method to quantitatively capture the heterogeneity in the degree distribution of a network graph using a single parameter . Using an exponential transformati…
Bifurcations in the Herd Immunity Threshold for Discrete-Time Models of Epidemic Spread
Sinan A. Ozbay, Bjarke F. Nielsen, Maximilian M. Nguyen
We performed a thorough sensitivity analysis of the herd immunity threshold for discrete-time SIR compartmental models with a static network structure. We find unexpectedly that th…
Early life imprints the hierarchy of T cell clone sizes
Mario U. Gaimann, Maximilian Nguyen, Jonathan Desponds +1
The adaptive immune system responds to pathogens by selecting clones of cells with specific receptors. While clonal selection in response to particular antigens has been studied in…