@article{banks_samuels_2009, title={Detection of arterial occlusions using viscoelastic wave propagation}, volume={1}, number={1}, journal={Advances in Applied Mathematics & Mechanics}, author={Banks, H. T. and Samuels, J. R.}, year={2009}, pages={1–28} } @article{banks_karr_nguyen_samuels_2008, title={Sensitivity to noise variance in a social network dynamics model}, volume={66}, ISSN={["1552-4485"]}, DOI={10.1090/S0033-569X-08-01124-0}, abstractNote={Abstract : The dynamics of social networks are modeled with a system of continuous Stochastic Ordinary Differential Equations (SODE). With the proper amount of noise input, the SODE model captures dynamic features that are lacking in the corresponding deterministic ODE model. Therefore, sensitivity to noise levels is investigated by considering four different regimes: essentially deterministic, noise-enriched, noise-enlarged, and noise-dominated. Each regime is defined based on the behavior of solutions of the SODE, and the geometry of the regimes is categorized with stochastic simulations.}, number={2}, journal={QUARTERLY OF APPLIED MATHEMATICS}, author={Banks, H. T. and Karr, A. F. and Nguyen, H. K. and Samuels, J. R., Jr.}, year={2008}, pages={233–247} } @article{banks_luke_samuels_2007, title={Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling}, volume={23}, ISSN={["1098-2426"]}, DOI={10.1002/num.20250}, abstractNote={AbstractWe report on two recent advances in the modeling of viscoelastic polymers: (i) a new constitutive model that combines the virtual stick‐slip continuum “molecular‐based” ideas of Johnson and Stacer with the Rouse bead chain ideas; (ii) a two‐dimensional version of a model that accounts for stenosis‐driven shear wave propagation in biotissue. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 817–831, 2007}, number={4}, journal={NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS}, author={Banks, H. T. and Luke, N. S. and Samuels, J. R., Jr.}, year={2007}, month={Jul}, pages={817–831} }