Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical modelling of a peripheral arterial stenosis using
  dimensionally reduced models and kernel methods   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 (1-D and 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 parametrised by 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.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin