{"832dacbae634d8ae21c67ac44f94850cmhartmann":{"DOI":"10.1002/cnm.3095","ISBN":"","ISSN":"","URL":"https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.3095","abstract":"Summary In this work, we consider two kinds of model reduction techniquesto\n\tsimulate blood flow through the largest systemic arteries, where\n\ta stenosis is located in a peripheral artery i.e. in an artery that\n\tis located far away from the heart. For our simulations we place\n\tthe stenosis in one of the tibial arteries belonging to the right\n\tlower leg (right post tibial artery). The model reduction techniques\n\tthat are used are on the one hand dimensionally reduced models (1-Dand\n\t0-D models, the so-called mixed-dimension model) and on the other\n\thand surrogate models produced by kernel methods. Both methods are\n\tcombined in such a way that the mixed-dimension models yield training\n\tdata for the surrogate model, where the surrogate model is parametrisedby\n\tthe degree of narrowing of the peripheral stenosis. By means of a\n\twell-trained surrogate model, we show that simulation data can be\n\treproduced with a satisfactory accuracy and that parameter optimisation\n\tor state estimation problems can be solved in a very efficient way.\n\tFurthermore it is demonstrated that a surrogate model enables us\n\tto present after a very short simulation time the impact of a varying\n\tdegree of stenosis on blood flow, obtaining a speedup of several\n\torders over the full model.","annote":"","author":[{"family":"Köppl","given":"Tobias"},{"family":"Santin","given":"Gabriele"},{"family":"Haasdonk","given":"Bernard"},{"family":"Helmig","given":"Rainer"}],"citation-label":"koppl2018numerical","collection-editor":[],"collection-title":"","container-author":[],"container-title":"International Journal for Numerical Methods in Biomedical Engineering","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2018"]],"literal":"2018"},"event-place":"","id":"832dacbae634d8ae21c67ac44f94850cmhartmann","interhash":"979f2097ba9c22d67096e59e5c6d7a3e","intrahash":"832dacbae634d8ae21c67ac44f94850c","issue":"ja","issued":{"date-parts":[["2018"]],"literal":"2018"},"keyword":"models, peripheral kernel simulations reduced mixed-dimension methods, blood simulations, stenosis, real-time dimensionally surrogate vorlaeufig flow","misc":{"file":":http\\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/KSHH2017_www_preprint.pdf:PDF","owner":"santinge","doi":"10.1002/cnm.3095"},"note":"e3095 cnm.3095","number":"ja","page":"e3095","page-first":"3095","publisher":"","publisher-place":"","status":"","title":"Numerical modelling of a peripheral arterial stenosis using dimensionally\n\treduced models and kernel methods","type":"article-journal","username":"mhartmann","version":"","volume":"0"}}