Andrea N. Arnold
Assistant Professor
Mathematical Sciences
Worcester Polytechnic Institute
United States of America
Biography
Education: BS Mathematics Duquesne University 2009 PhD Applied Mathematics Case Western Reserve University 2014
Research Interest
Computational Inverse Problems; Bayesian Inference; Nonlinear Filtering; Parameter Estimation; Uncertainty Quantification; Mathematical Biology.
Publications
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A. Arnold, D. Calvetti and E. Somersalo (2014) Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Inverse Problems, 30 (10), 105008. - 2014
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A. Arnold, D. Calvetti, A. Gjedde, P. Iversen and E. Somersalo (2015) Astrocytic tracer dynamics estimated from [1-11C]-acetate PET measurements. Mathematical Medicine & Biology, 32 (4), pp. 367-382. First published online November 24, 2014. - 2015
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C. Battista, A. Arnold, M. U. Qureshi and M. S. Olufsen (2015) Estimating boundary conditions for one-dimensional modeling of blood flow and pressure in arterial networks. In: 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015 (P. Nithiarasu and E. Budyn eds) Cachan, France, pp. 307-310. - 2015
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A. Arnold, D. Calvetti and E. Somersalo (2015) Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. In: Dynamical Systems and Differential Equations, AIMS Proceedings 2015 (M. de León, W. Feng, Z. Feng, X. Lu, J. M. Martell, J. Parcet, D. Peralta-Salas and W. Ruan eds) Madrid, Spain, pp. 75-84. - 2015
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A. Arnold, C. Battista, D. Bia, Y. Zócalo German, R. L. Armentano, H. Tran and M. S. Olufsen (2017) Uncertainty quantification in a patient-specific one-dimensional arterial network model: EnKF-based inflow estimator. ASME Journal of Verification, Validation and Uncertainty Quantification, 2 (1), 011002. - 2017
