| Practical identifiability and uncertainty quantification of a pulsatile cardiovascular model AD Marquis, A Arnold, C Dean-Bernhoft, BE Carlson, MS Olufsen Mathematical biosciences 304, 9-24, 2018 | 48 | 2018 |
| Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter A Arnold, D Calvetti, E Somersalo Inverse Problems 30 (10), 105008, 2014 | 46 | 2014 |
| Linear multistep methods, particle filtering and sequential Monte Carlo A Arnold, D Calvetti, E Somersalo Inverse Problems 29 (8), 085007, 2013 | 36 | 2013 |
| An approach to periodic, time-varying parameter estimation using nonlinear filtering A Arnold, AL Lloyd Inverse Problems 34 (10), 105005, 2018 | 17 | 2018 |
| Uncertainty quantification in a patient-specific one-dimensional arterial network model: EnKF-based inflow estimator A Arnold, C Battista, D Bia, YZ German, RL Armentano, H Tran, ... Journal of Verification, Validation and Uncertainty Quantification 2 (1), 011002, 2017 | 15 | 2017 |
| Estimating time-varying applied current in the Hodgkin-Huxley model K Campbell, L Staugler, A Arnold Applied Sciences 10 (2), 550, 2020 | 14 | 2020 |
| Sequential Monte Carlo parameter estimation for differential equations A Arnold Case Western Reserve University, 2014 | 13 | 2014 |
| Analyzing the effects of observation function selection in ensemble Kalman filtering for epidemic models L Mitchell, A Arnold Mathematical biosciences 339, 108655, 2021 | 7 | 2021 |
| Modeling microglia activation and inflammation-based neuroprotectant strategies during ischemic stroke S Amato, A Arnold Bulletin of Mathematical Biology 83 (6), 72, 2021 | 7 | 2021 |
| Exploring the effects of uncertainty in parameter tracking estimates for the time-varying external voltage parameter in the FitzHugh-Nagumo model A Arnold International Conference on Computational & Mathematical Biomedical …, 2019 | 6 | 2019 |
| Astrocytic tracer dynamics estimated from [1-11C]-acetate PET measurements A Arnold, D Calvetti, A Gjedde, P Iversen, E Somersalo Mathematical medicine and biology: a journal of the IMA 32 (4), 367-382, 2015 | 6 | 2015 |
| Identification of tissue optical properties during thermal laser‐tissue interactions: An ensemble Kalman filter‐based approach A Arnold, L Fichera International Journal for Numerical Methods in Biomedical Engineering 38 (4 …, 2022 | 4 | 2022 |
| Using Monte Carlo particle methods to estimate and quantify uncertainty in periodic parameters A Arnold Advances in Mathematical Sciences: AWM Research Symposium, Houston, TX …, 2020 | 4 | 2020 |
| Ensemble Kalman filtering for inverse optimal control A Arnold, H Tran International MultiConference of Engineers and Computer Scientists 2018 2 …, 2018 | 4* | 2018 |
| Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs A Arnold, D Calvetti, E Somersalo Dynamical Systems and Differential Equations, AIMS Proceedings 2015, 75-84, 2015 | 3 | 2015 |
| When artificial parameter evolution gets real: particle filtering for time-varying parameter estimation in deterministic dynamical systems A Arnold Inverse Problems 39 (1), 014002, 2022 | 2 | 2022 |
| A data-informed mathematical model of microglial cell dynamics during ischemic stroke in the middle cerebral artery S Amato, A Arnold arXiv preprint arXiv:2403.15284, 2024 | 1 | 2024 |
| Fourier series-based approximation of time-varying parameters in ordinary differential equations A Fitzpatrick, M Folino, A Arnold Inverse Problems 40 (3), 035004, 2024 | 1 | 2024 |
| Estimating boundary conditions for one-dimensional modeling of blood flow and pressure in arterial networks C Battista, A Arnold, MU Qureshi, MS Olufsen International Conference on Computational & Mathematical Biomedical …, 2015 | 1 | 2015 |
| Sparse model identification and prediction of microglial cells during ischemic stroke S Amato, A Arnold arXiv preprint arXiv:2404.10915, 2024 | | 2024 |
Erkki SomersaloProfessor of Mathematics, Case Western Reserve UniversityVerified email at case.edu
