Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Systemic stability, cell differentiation, and evolution - A dynamical
  systems perspective   Species or population that proliferate faster than others become dominant in
numbers. Catalysis allows catalytic sets within a molecular reaction network to
dominate the non catalytic parts of the network by processing most of the
available substrate. As a consequence one may consider a 'catalytic fitness' of
sets of molecular species. The fittest sets emerge as the expressed chemical
backbone or sub-network of larger chemical reaction networks employed by
organisms. However, catalytic fitness depends on the systemic context and the
stability of systemic dynamics. Unstable reaction networks would easily be
reshaped or destroyed by fluctuations of the chemical environment. In this
paper we therefore focus on recognizing systemic stability as an evolutionary
selection criterion. In fact, instabilities of regulatory systems dynamics
become predictive for associated evolutionary forces driving the emergence
large reaction networks that avoid or control inherent instabilities. Systemic
instabilities can be identified and analyzed using relatively simple
mathematical random networks models of complex regulatory systems. Using a
statistical ensemble approach one can identify fundamental causes of instable
dynamics, infer evolutionary preferred network properties, and predict
evolutionary emergent control mechanisms and their entanglement with cell
differentiation processes. Surprisingly, what systemic stability tells us here
is that cells (or other non-linear regulatory systems) never had to learn how
to differentiate, but rather how to avoid and control differentiation. For
example, in this framework we can predict that regulatory systems will
evolutionary favor networks where the number of catalytic enhancers is not
larger than the number of suppressors.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex