Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective diffusion rates and cross-correlation analysis of "acid
  growth" data   We investigated the growth-temperature relationship in plants using a
quantitative perspective of a recently derived growth functional. We showed
that auxin-induced growth is achieved by the diffusion rate, which is almost
constant or slowly ascending in temperature while the diffusion rate of
fusicoccin-induced growth increases monotonically with temperature for the
entire temperature range, though for some concentrations of IAA
"super-diffusion" takes place for unperturbed growth. Furthermore, three kind
of experiments were compared: for abraded coleoptiles, coleoptile segments and
intact growing seedlings. From cross-correlation analysis it was found that the
timing of IAA and FC-induced proton secretion and growth matches well.
Unambiguous results, concerning fundamental conditions of the acid growth
hypothesis, were obtained by cross- and auto-correlation analysis: (1) For
abraded coleoptiles, because of the lowering of the cuticule potential barrier,
auxin-induced cell wall pH decreases simultaneously with the change in growth
rate; no advancement or retardation of pH (proton efflux rate) or growth rate
takes place (2) Exogenous protons are able to substitute for auxin causing wall
loosening and growth (3) Although the underlying molecular mechanisms vastly
differ, a potent stimulator of proton secretion, the fungal toxin FC, promotes
growth similar to auxin, however of much elevated intensity; as for auxin - no
advancement or retardation takes place.

36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th