Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: PDE-induced connection of moving frames for the Atlas of the cardiac
  electric propagation on 2D atrium   As another critical implementation of moving frames for partial differential
equations, this paper proposes a novel numerical scheme by aligning one of
three orthogonal unit vectors at each grid point along the direction of a wave
propagation to construct an organized set of frames, called a connection. This
connection characterizes the geometry of wave propagation depending on (1) the
initial point, (2) type of wave, and (3) shape of the domain with conduction
properties. The constructed connection is differentiated again to derive the
Riemann curvature tensor of orthonormal bases corresponding to important
physical and biological meanings in wave propagation. As a practical
application, the proposed scheme is applied to diffusion-reaction equations to
obtain the Atlas, or a geometric map with connections, of an atrium with
cardiac fibers, for the quantitative and qualitative analysis of cardiac action
potential propagation, which could contribute to the clinical and surgical
planning of atrial fibrillation.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin