Instruct: Identify the main category of Biorxiv papers based on the titles and abstracts
Query: Preprocessing of general stenotic vascular flow data for topological data analysis A new analysis and classification method of vascular disease based on topological data analysis (TDA) has been proposed in [1]. The proposed method utilizes the application of persistent homology to hemodynamic variables. Particularly, 2D homology is obtained from the velocity field of the flow projected onto the unit sphere, known as so-called the S2 projection. It was shown that such homology is closely related to the degree of vascular disease. The original method was developed based on the computational fluid dynamic (CFD) solutions of the straight stenotic vessels.

In this paper, we develop a preprocessing method that enables the proposed TDA method to be applied to general stenotic vessels of irregular geometry. The velocity field is subject to a coordinate transformation correcting for orientation and curved geometry. The preprocessed data is projected onto S2 and the corresponding homology is calculated. We show that this preprocessing is necessary for the proposed TDA method to be successfully applied to general types of stenotic vessels. Validation was performed on a set of clinical data including reconstructed vascular geometry with corresponding diagnostic indices.
11
The categories of this paper are: cognition
29
The categories of this paper are: education
8
The categories of this paper are: genomics
12
The categories of this paper are: behavior
4
The categories of this paper are: neuroscience
9
The categories of this paper are: synthetic
20
The categories of this paper are: pharmacology
19
The categories of this paper are: epidemiology
1
The categories of this paper are: bioinformatics
26
The categories of this paper are: biochemistry
30
The categories of this paper are: scientific
28
The categories of this paper are: communication
27
The categories of this paper are: pathology
7
The categories of this paper are: ecology
2
The categories of this paper are: biology
10
The categories of this paper are: and