Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mitotic waves in an import-diffusion model with multiple nuclei in a
  shared cytoplasm   Nuclei import and export proteins, including cell cycle regulators. These
import-export processes are modulated periodically by the cell cycle, for
example due to the periodic assembly and breakdown of the nuclear envelope. As
such, replicated DNA can be segregated between the two daughter cells and the
proteins that were localized in the nucleus are free to diffuse throughout the
cytoplasm. Here, we study a mathematical import-diffusion model to show how
proteins, i.e. cell cycle regulators, could be redistributed in the cytoplasm
by nuclei that periodically toggle between interphase and mitosis. We show that
when the cell cycle period depends on the local concentration of regulators,
the model exhibits mitotic waves. We discuss how the velocity and spatial
origin of these mitotic waves depend on the different model parameters. This
work is motivated by recent in vitro experiments reporting on mitotic waves in
cycling cell-free extracts made with Xenopus laevis frog eggs, where multiple
nuclei share the same cytoplasm. Such experiments have shown that nuclei act as
pacemakers for the cell cycle and thus play an important role in collectively
defining the spatial origin of mitotic waves.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org