2018 IEEE Conference on Decision and Control (CDC) 2018
DOI: 10.1109/cdc.2018.8619745
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POD-Based Recursive Temperature Estimation for MR-Guided RF Hyperthermia Cancer Treatment: A Pilot Study

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Cited by 7 publications
(20 citation statements)
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“…Additionally, it offers the possibility to characterize treatment efficacy by observing the required thermal metrics in real time during treatment. This technique brings opportunities for dynamic treatment delivery feedback control [ 24 , 25 , 26 , 27 , 28 , 29 , 30 ], as well as treatment planning validation [ 13 , 17 , 31 ], and assessment of thermoregulation in tissues [ 32 , 33 , 34 , 35 ]. There are several MR thermometry methods; the proton resonance frequency shift (PRFS) method is the most widely used due to its linearity and sensitivity [ 36 , 37 , 38 , 39 , 40 ].…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, it offers the possibility to characterize treatment efficacy by observing the required thermal metrics in real time during treatment. This technique brings opportunities for dynamic treatment delivery feedback control [ 24 , 25 , 26 , 27 , 28 , 29 , 30 ], as well as treatment planning validation [ 13 , 17 , 31 ], and assessment of thermoregulation in tissues [ 32 , 33 , 34 , 35 ]. There are several MR thermometry methods; the proton resonance frequency shift (PRFS) method is the most widely used due to its linearity and sensitivity [ 36 , 37 , 38 , 39 , 40 ].…”
Section: Introductionmentioning
confidence: 99%
“…where the superscript p indicates the model-based prediction; x p t denotes the predicted temperature at time t; A t and B t denote the reduced-order discrete-time system matrices obtained by projecting the time-discretized dynamics on the precomputed POD subspace,which we obtained from multiple time simulations. 14 Furthermore, x t−1 denotes the estimated temperature at time t − 1; u t is the control input at time t using the settings of the RF applicator antennas, thus B t u t is the heat load delivered by the RF applicator. Last, P t denotes the predicted state covariance, and Q is the process noise covariance, which is approximated by a diagonal covariance matrix and this defined as identity matrix.…”
Section: Kalman Filter For Recursive Temperature Estimationmentioning
confidence: 99%
“…Last, P t denotes the predicted state covariance, and Q is the process noise covariance, which is approximated by a diagonal covariance matrix and this defined as identity matrix. 14 In the second step of the process, the Kalman filter combines the model-based prediction with the filtered MR thermometry. To this end, at each time step, we compute the so-called Kalman gain (K t ) that incorporates how much and where to trust the model-based prediction and MR thermometry based on their respective covariance matrices.…”
Section: Kalman Filter For Recursive Temperature Estimationmentioning
confidence: 99%
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“…Kalman Filter theory is largely used in the biomedical field for estimating the state of the controlled quantity, and permits to manage noisy measurements and potential inaccuracies of the medical device, such as its placement inside the anatomical district [17]. In the scenario of the thermal treatments, Kalman Filter has been proposed to predict temperature during MR-guided thermal therapy delivery in the presence of noise or corrupted data [16], [18], [19]. Image-based thermometry can suffer from inaccuracy related to motion or artifact in the images, but can still benefit from a large number of information within the image field of view.…”
Section: Introductionmentioning
confidence: 99%