Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian gradient sensing in the presence of rotational diffusion   Biological cells estimate concentration gradients of signaling molecules with
a precision that is limited not only by sensing noise, but additionally by the
cell's own stochastic motion. We ask for the theoretical limits of gradient
estimation in the presence of both motility and sensing noise. We introduce a
minimal model of a stationary chemotactic agent in the plane subject to
rotational diffusion, which uses Bayesian estimation to optimally infer a
gradient direction from noisy concentration measurements. Contrary to the known
case of gradient sensing by temporal comparison, we show that for spatial
comparison, the ultimate precision of gradient sensing scales not with the
rotational diffusion time, but with its square-root. To achieve this precision,
an individual agent needs to know its own rotational diffusion coefficient.
This agent can accurately estimate the expected variability within an ensemble
of agents. If an agent, however, does not account for its own motility noise,
Bayesian estimation fails in a characteristic manner.

33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
16
The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th