Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Order selection in nonlinear time series models with application to the
  study of cell memory   Cell adhesion experiments are biomechanical experiments studying the binding
of a cell to another cell at the level of single molecules. Such a study plays
an important role in tumor metastasis in cancer study. Motivated by analyzing a
repeated cell adhesion experiment, a new class of nonlinear time series models
with an order selection procedure is developed in this paper. Due to the
nonlinearity, there are two types of overfitting. Therefore, a double penalized
approach is introduced for order selection. To implement this approach, a
global optimization algorithm using mixed integer programming is discussed. The
procedure is shown to be asymptotically consistent in estimating both the order
and parameters of the proposed model. Simulations show that the new order
selection approach outperforms standard methods. The finite-sample performance
of the estimator is also examined via a simulation study. The application of
the proposed methodology to a T-cell experiment provides a better understanding
of the kinetics and mechanics of cell adhesion, including quantifying the
memory effect on a repeated unbinding force experiment and identifying the
order of the memory.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys