PUMA publications for /user/mathematik/reduced%20simulations,https://puma.ub.uni-stuttgart.de/user/mathematik/reduced%20simulations,PUMA RSS feed for /user/mathematik/reduced%20simulations,2024-03-28T12:37:07+01:00Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methodshttps://puma.ub.uni-stuttgart.de/bibtex/291f54fe318fd82138164bcd9e2763d27/mathematikmathematik2021-09-29T14:35:10+02:00anm blood dimensionally flow from:britsteiner ians kernel methods, mixedâdimension models, peripheral realâtime reduced simulations simulations, stenosis, surrogate <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Köppl" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/0"><span itemprop="name">T. Köppl</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Gabriele Santin" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/1"><span itemprop="name">G. Santin</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bernard Haasdonk" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/2"><span itemprop="name">B. Haasdonk</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Rainer Helmig" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/3"><span itemprop="name">R. Helmig</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">International Journal for Numerical Methods in Biomedical Engineering</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">34 </span></span>(<span itemprop="issueNumber">8</span>):
<span itemprop="pagination">e3095</span></em> </span>(<em><span>2018<meta content="2018" itemprop="datePublished"/></span></em>)<em>e3095 cnm.3095.</em></span>Wed Sep 29 14:35:10 CEST 2021International Journal for Numerical Methods in Biomedical Engineeringe3095 cnm.30958e3095Numerical modelling of a peripheral arterial stenosis using dimensionally reduced models and kernel methods342018anm blood dimensionally flow from:britsteiner ians kernel methods, mixedâdimension models, peripheral realâtime reduced simulations simulations, stenosis, surrogate Summary In this work, we consider two kinds of model reduction techniques
to simulate blood flow through the largest systemic arteries, where
a stenosis is located in a peripheral artery i.e. in an artery that
is located far away from the heart. For our simulations we place
the stenosis in one of the tibial arteries belonging to the right
lower leg (right post tibial artery). The model reduction techniques
that are used are on the one hand dimensionally reduced models (1âD
and 0âD models, the soâcalled mixedâdimension model) and on
the other hand surrogate models produced by kernel methods. Both
methods are combined in such a way that the mixedâdimension models
yield training data for the surrogate model, where the surrogate
model is parametrised by the degree of narrowing of the peripheral
stenosis. By means of a wellâtrained surrogate model, we show that
simulation data can be reproduced with a satisfactory accuracy and
that parameter optimisation or state estimation problems can be solved
in a very efficient way. Furthermore it is demonstrated that a surrogate
model enables us to present after a very short simulation time the
impact of a varying degree of stenosis on blood flow, obtaining a
speedup of several orders over the full model.Numerical modelling of a peripheral arterial stenosis using dimensionally
reduced models and kernel methodshttps://puma.ub.uni-stuttgart.de/bibtex/2832dacbae634d8ae21c67ac44f94850c/mathematikmathematik2018-07-20T10:54:55+02:00blood dimensionally flow from:mhartmann ians kernel methods, mixed-dimension models, peripheral real-time reduced simulations simulations, stenosis, surrogate vorlaeufig <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Köppl" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/0"><span itemprop="name">T. Köppl</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Gabriele Santin" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/1"><span itemprop="name">G. Santin</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bernard Haasdonk" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/2"><span itemprop="name">B. Haasdonk</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Rainer Helmig" itemprop="url" href="/person/1979f2097ba9c22d67096e59e5c6d7a3e/author/3"><span itemprop="name">R. Helmig</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">International Journal for Numerical Methods in Biomedical Engineering</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">0 </span></span>(<span itemprop="issueNumber">ja</span>):
<span itemprop="pagination">e3095</span></em> </span>(<em><span>2018<meta content="2018" itemprop="datePublished"/></span></em>)<em>e3095 cnm.3095.</em></span>Fri Jul 20 10:54:55 CEST 2018International Journal for Numerical Methods in Biomedical Engineeringe3095 cnm.3095jae3095Numerical modelling of a peripheral arterial stenosis using dimensionally
reduced models and kernel methods02018blood dimensionally flow from:mhartmann ians kernel methods, mixed-dimension models, peripheral real-time reduced simulations simulations, stenosis, surrogate vorlaeufig Summary In this work, we consider two kinds of model reduction techniquesto
simulate blood flow through the largest systemic arteries, where
a stenosis is located in a peripheral artery i.e. in an artery that
is located far away from the heart. For our simulations we place
the stenosis in one of the tibial arteries belonging to the right
lower leg (right post tibial artery). The model reduction techniques
that are used are on the one hand dimensionally reduced models (1-Dand
0-D models, the so-called mixed-dimension model) and on the other
hand surrogate models produced by kernel methods. Both methods are
combined in such a way that the mixed-dimension models yield training
data for the surrogate model, where the surrogate model is parametrisedby
the degree of narrowing of the peripheral stenosis. By means of a
well-trained surrogate model, we show that simulation data can be
reproduced with a satisfactory accuracy and that parameter optimisation
or state estimation problems can be solved in a very efficient way.
Furthermore it is demonstrated that a surrogate model enables us
to present after a very short simulation time the impact of a varying
degree of stenosis on blood flow, obtaining a speedup of several
orders over the full model.