Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuous-time model of centrally coordinated motion with random
  switching   This paper considers differential problems with random switching, with
specific applications to the motion of cells and centrally coordinated motion.
Starting with a differential-equation model of cell motion that was proposed
previously, we set the relaxation time to zero and consider the simpler model
that results. We prove that this model is well-posed, in the sense that it
corresponds to a pure jump-type continuous-time Markov process (without
explosion).We then describe the model's long-time behavior, first by specifying
an attracting steady-state distribution for a projection of the model, then by
examining the expected location of the cell center when the initial data is
compatible with that steady-state. Under such conditions, we present a formula
for the expected velocity and give a rigorous proof of that formula's validity.
We conclude the paper with a comparison between these theoretical results and
the results of numerical simulations.

14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc