Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Using Persistent Homology Topological Features to Characterize Medical
  Images: Case Studies on Lung and Brain Cancers   Tumor shape is a key factor that affects tumor growth and metastasis. This
paper proposes a topological feature computed by persistent homology to
characterize tumor progression from digital pathology and radiology images and
examines its effect on the time-to-event data. The proposed topological
features are invariant to scale-preserving transformation and can summarize
various tumor shape patterns. The topological features are represented in
functional space and used as functional predictors in a functional Cox
proportional hazards model. The proposed model enables interpretable inference
about the association between topological shape features and survival risks.
Two case studies are conducted using consecutive 143 lung cancer and 77 brain
tumor patients. The results of both studies show that the topological features
predict survival prognosis after adjusting clinical variables, and the
predicted high-risk groups have significantly (at the level of 0.001) worse
survival outcomes than the low-risk groups. Also, the topological shape
features found to be positively associated with survival hazards are irregular
and heterogeneous shape patterns, which are known to be related to tumor
progression.

2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess