Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mesoscopic behavior from microscopic Markov dynamics and its application
  to calcium release channels   A major challenge in biology is to understand how molecular processes
determine phenotypic features. We address this fundamental problem in a class
of model systems by developing a general mathematical framework that allows the
calculation of mesoscopic properties from the knowledge of microscopic
Markovian transition probabilities. We show how exact analytic formulae for the
first and second moments of resident time distributions in mesostates can be
derived from microscopic resident times and transition probabilities even for
systems with a large number of microstates. We apply our formalism to models of
the inositol trisphosphate receptor, which plays a key role in generating
calcium signals triggering a wide variety of cellular responses. We demonstrate
how experimentally accessible quantities, such as opening and closing times and
the coefficient of variation of inter-spike intervals, and other, more
elaborated, quantities can be analytically calculated from the underlying
microscopic Markovian dynamics. A virtue of our approach is that we do not need
to follow the detailed time evolution of the whole system, as we derive the
relevant properties of its steady state without having to take into account the
often extremely complicated transient features. We emphasize that our formulae
fully agree with results obtained by stochastic simulations and approaches
based on a full determination of the microscopic system's time evolution. We
also illustrate how experiments can be devised to discriminate between
alternative molecular models of the inositol trisphosphate receptor. The
developed approach is applicable to any system described by a Markov process
and, owing to the analytic nature of the resulting formulae, provides an easy
way to characterize also rare events that are of particular importance to
understand the intermittency properties of complex dynamic systems.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat