{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,28]],"date-time":"2026-08-28T00:48:11Z","timestamp":1787878091092,"version":"build-2784847793"},"reference-count":41,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2025,7,15]],"date-time":"2025-07-15T00:00:00Z","timestamp":1752537600000},"content-version":"vor","delay-in-days":14,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":["aapm.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Medical Physics"],"published-print":{"date-parts":[[2025,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:sec>\n                    <jats:title>Background<\/jats:title>\n                    <jats:p>Image\u2010guided radiotherapy (IGRT) is often hampered by geometric inaccuracies introduced by anatomical and physiological motion. Although a wide array of deformable image registration (DIR) solutions have been proposed toward motion estimation and compensation during IGRT, their accuracy and precision generally deteriorates within areas showcasing particularly large displacements such as the thorax, abdomen and pelvis.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Purpose<\/jats:title>\n                    <jats:p>In this work, we propose a physics\u2010derived DIR algorithm for motion estimation during IGRT, designed to be specifically suitable for highly deforming anatomical areas. The proposed solution also has a single configuration parameter controlling the volumetric deformations of the anatomy and a high computational performance, lending it particularly compatible with online adaptive\u00a0workflows.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Methods<\/jats:title>\n                    <jats:p>We hereby address the DIR problem by modeling anatomical motion as the flow of a viscous fluid. In this context, we solve a simplified form of the Navier\u2013Stokes equations\u00a0where the dissimilarity between the registered images plays the role of actuating force. The high degree\u2010of\u2010freedom of the solutions resulting from viscous fluid dynamics thereby allows for the estimation of large\u2010scale deformations. For computational purposes, a highly parallelizable FFT\u2010based numerical solver was used, allowing for its seamless implementation on graphical processing units. The Jacobian determinant was used to analyze tissue compression and expansion at a voxel\u2010wise level and to identify implausible deformations. The accuracy and precision of the proposed algorithm was analyzed for thoracic CT and pelvic MR images showcasing particularly large deformations. A gold standard consisting of annotated landmarks was available for the CT images, while for the MR data manually\u2010approved contours were generated using a semi\u2010automatic\u00a0procedure.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Results<\/jats:title>\n                    <jats:p>The proposed DIR solution showcased an overall accuracy of 1 \u2013 2 mm for the thoracic CT data and a Dice similarity coefficient of 0.8 \u2013 0.9 for the contours defined on the MR images. Moreover, the model estimates motion with a smooth distribution of the Jacobian determinant. The average computational latency ranged between 20 s to 3.5 min, dependent on the size of the registered images.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Conclusions<\/jats:title>\n                    <jats:p>In this work, we have formulated the DIR problem under the shape of a system of equations\u00a0describing the dynamics of a viscous fluid. The algorithm demonstrated capabilities for estimating large deformations in the thorax and pelvis for both CT and MR images, with an accuracy and precision in line with recommendations for clinical acceptability. Together with its computational performance, this could make it an attractive solution for motion management during online\u00a0IGRT.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.1002\/mp.17967","type":"journal-article","created":{"date-parts":[[2025,7,16]],"date-time":"2025-07-16T04:25:56Z","timestamp":1752639956000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A viscous fluid model for large\u2010scale motion estimation in image\u2010guided radiotherapy"],"prefix":"10.1002","volume":"52","author":[{"given":"Tom J. W.","family":"Draper","sequence":"first","affiliation":[{"name":"Department of Radiotherapy UMC Utrecht Utrecht The Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cornel","family":"Zachiu","sequence":"additional","affiliation":[{"name":"Department of Radiotherapy UMC Utrecht Utrecht The Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bas W.","family":"Raaymakers","sequence":"additional","affiliation":[{"name":"Department of Radiotherapy UMC Utrecht Utrecht The Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2025,7,15]]},"reference":[{"key":"e_1_2_9_2_1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718843"},{"key":"e_1_2_9_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2013.2265603"},{"key":"e_1_2_9_4_1","unstructured":"ChristensenG.Deformable Shape Models for Anatomy. PhD thesis. 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