Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating the division rate from indirect measurements of single cells   Is it possible to estimate the dependence of a growing and dividing
population on a given trait in the case where this trait is not directly
accessible by experimental measurements, but making use of measurements of
another variable? This article adresses this general question for a very recent
and popular model describing bacterial growth, the so-called incremental or
adder model. In this model, the division rate depends on the increment of size
between birth and division, whereas the most accessible trait is the size
itself. We prove that estimating the division 10 rate from size measurements is
possible, we state a reconstruction formula in a deterministic and then in a
statistical setting, and solve numerically the problem on simulated and
experimental data. Though this represents a severely ill-posed inverse problem,
our numerical results prove to be satisfactory.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex