@article{attarian_batzel_matzuka_tran_2013, title={Application of the Unscented Kalman Filtering to Parameter Estimation}, volume={2064}, ISBN={["978-3-642-32881-7"]}, ISSN={["0075-8434"]}, DOI={10.1007/978-3-642-32882-4_4}, abstractNote={Filtering is a methodology used to combine a set of observations with a model to obtain the optimal state. This technique can be extended to estimate the state of the system as well as the unknown model parameters. Estimating the model parameters given a set of data is often referred to as the inverse problem. Filtering provides many benefits to the inverse problem by providing estimates in real time and allowing model errors to be taken into account. Assuming a linear model and Gaussian noises, the optimal filter is the Kalman filter. However, these assumptions rarely hold for many problems of interest, so a number of extensions have been proposed in the literature to deal with nonlinear dynamics. In this chapter, we illustrate the application of one approach to deal with nonlinear model dynamics, the so-called unscented Kalman filter. In addition, we will also show how some of the tools for model validation discussed in other chapters of this volume can be used to improve the estimation process.}, journal={MATHEMATICAL MODELING AND VALIDATION IN PHYSIOLOGY: APPLICATIONS TO THE CARDIOVASCULAR AND RESPIRATORY SYSTEMS}, author={Attarian, Adam and Batzel, Jerry J. and Matzuka, Brett and Tran, Hien}, year={2013}, pages={75–88} } @article{ives_attarian_tallis_andujar_forstall_tran_read_bui_2010, title={Design of Doubly Convergent Multiple-Beam Electron Guns}, volume={38}, ISSN={["0093-3813"]}, DOI={10.1109/tps.2010.2046501}, abstractNote={In an effort to achieve higher power RF source performance, designers are utilizing distributed beam devices, such as sheet beams and multiple beams. A limitation is the amount of current that can be emitted by the cathode while still achieving long cathode lifetimes. The desire is to develop distributed beam devices that utilize fundamental mode cavities in the RF circuit. For multiple-beam devices, where the individual beams propagate at the same radius as the cathode, a limitation is reached, where the size of the cathode becomes limited by the space available. A solution is to place the cathodes at a larger radius and compress the beams toward the radius required for fundamental mode cavities. This paper describes the design of a multiple-beam gun where the ensemble of beams is compressed toward the device axis while still achieving parallel propagation through the RF circuit.}, number={6}, journal={IEEE TRANSACTIONS ON PLASMA SCIENCE}, author={Ives, R. Lawrence and Attarian, Adam and Tallis, William and Andujar, Cynthia and Forstall, Virginia and Tran, Hien and Read, Michael and Bui, Thuc}, year={2010}, month={Jun}, pages={1337–1344} } @book{leung_attarian_2003, title={Evaluating the Effectiveness of the Leave No Trace Program in the City of Durango, Colorado}, volume={Final Report}, institution={Boulder, CO: The Leave No Trace, Inc.}, author={Leung, Y.-F and Attarian, A.}, year={2003} }