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Topological basis of signal integration in the transcriptional ...

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BMC Bio<strong>in</strong>formatics 2006, 7:478<br />

http://www.biomedcentral.com/1471-2105/7/478<br />

score: 2.2) to <strong>the</strong> distribution deduced from <strong>the</strong> sets A\B<br />

and B\A summed toge<strong>the</strong>r (see Methods for details). Thus,<br />

we <strong>in</strong>fer that <strong>in</strong> <strong>the</strong> TR network <strong>of</strong> S. cerevisiae overlapp<strong>in</strong>g<br />

pairs <strong>of</strong> origons significantly <strong>in</strong>tegrate regulatory tasks.<br />

<strong>Topological</strong> organization <strong>of</strong> <strong>signal</strong> <strong><strong>in</strong>tegration</strong> <strong>in</strong> <strong>the</strong> yeast<br />

TR network<br />

Complex environmental <strong>signal</strong>s are decomposed <strong>in</strong>to<br />

more elementary <strong>signal</strong>s that eventually elicit an <strong>in</strong>tegrated<br />

<strong>transcriptional</strong> response <strong>in</strong> <strong>the</strong> context <strong>of</strong> <strong>the</strong> cell's<br />

own <strong>in</strong>ternal state. S<strong>in</strong>ce <strong>in</strong>termediate TFs (by def<strong>in</strong>ition)<br />

transmit <strong>signal</strong>s from <strong>in</strong>put to output nodes and provide<br />

connections among all TFs (Fig. 1A), <strong>the</strong> topological<br />

organization <strong>of</strong> <strong>the</strong>ir <strong>in</strong>teractions is likely to play a key<br />

role <strong>in</strong> develop<strong>in</strong>g such <strong>in</strong>tegrated responses. To exam<strong>in</strong>e<br />

<strong>the</strong>ir relationships, we decomposed <strong>the</strong> TR network by an<br />

iterative peel<strong>in</strong>g algorithm (see Methods), where <strong>the</strong> top<br />

and bottom layers <strong>of</strong> <strong>the</strong> network have been successively<br />

removed until only 3 small isolated graph components<br />

('cores') rema<strong>in</strong>ed. Then <strong>the</strong>se cores were consolidated by<br />

add<strong>in</strong>g back <strong>the</strong>ir nearest up- and downstream <strong>in</strong>termediate<br />

regulators (Fig. 3A). After this decomposition procedure<br />

we found that <strong>the</strong> 45-node <strong>in</strong>termediate TF<br />

subnetwork naturally segregated <strong>in</strong>to three <strong>in</strong>ternally<br />

densely-connected groups <strong>of</strong> TFs (referred to as 'organizer'<br />

O1, O2, and O3 hereafter), as well as several isolated TF<br />

nodes (Figs. 3A,B). In contrast, <strong>the</strong> connections between<br />

organizers are sparse (Fig. 3B): organizers O1 and O2 are<br />

connected by one <strong>in</strong>teraction (between Nrg1 and Hap4),<br />

and O2 and O3 have only two connections (Fkh1-Yhp1<br />

and Abf1-Put3). Of note, all three <strong>in</strong>ter-organizer connections<br />

transfer a <strong>signal</strong> from <strong>the</strong> 'top' (as def<strong>in</strong>ed by <strong>the</strong><br />

flow <strong>of</strong> <strong>in</strong>formation) <strong>of</strong> one organizer to <strong>the</strong> 'bottom' <strong>of</strong><br />

<strong>the</strong> o<strong>the</strong>r. We also f<strong>in</strong>d that <strong>in</strong>put TFs <strong>of</strong>ten co-regulate<br />

<strong>in</strong>termediate TFs located <strong>in</strong> one or two organizers, but<br />

never <strong>in</strong> all three <strong>of</strong> <strong>the</strong>m. Note, that as an alternative<br />

approach we also performed computational search for<br />

partially overlapp<strong>in</strong>g communities [27] <strong>in</strong> <strong>the</strong> TR network.<br />

This analysis yielded highly similar results (Supplementary<br />

Fig. S3), suggest<strong>in</strong>g that <strong>the</strong> concept <strong>of</strong> organizers<br />

is valid irrespective <strong>of</strong> data str<strong>in</strong>gency (Supplementary Fig.<br />

S4), or <strong>the</strong> analytical technique used for <strong>the</strong>ir identification.<br />

Currently, on <strong>the</strong> global scale <strong>the</strong> dynamical utilization <strong>of</strong><br />

<strong>signal</strong>-specific transcription regulatory subnets can be best<br />

tested with microarray expression data [12,13]. To analyze<br />

<strong>the</strong> dynamical role <strong>of</strong> organizers, for each <strong>of</strong> <strong>the</strong> 45 <strong>in</strong>termediate<br />

TFs we have def<strong>in</strong>ed <strong>the</strong> TF and <strong>the</strong> list <strong>of</strong> its targets<br />

as a group <strong>of</strong> genes, and computed <strong>the</strong> <strong>transcriptional</strong><br />

response <strong>of</strong> this group to a given external or <strong>in</strong>ternal <strong>signal</strong><br />

(see Methods). Under hyperosmotic shock (Fig. 3C), <strong>the</strong><br />

TFs (and <strong>the</strong>ir target genes) <strong>in</strong> organizer O2 displayed by<br />

far <strong>the</strong> strongest average response, as measured by <strong>the</strong><br />

double Z score [13] (see Methods): 0.8, compared to -0.13<br />

and -0.14 <strong>in</strong> organizers O1 and O3, respectively. With<strong>in</strong><br />

this group <strong>the</strong> set <strong>of</strong> genes regulated by <strong>in</strong>termediate TFs<br />

Hap4, Sok2, Phd1, and Rox 1 show <strong>the</strong> strongest<br />

response. All <strong>the</strong>se TFs are regulated by <strong>in</strong>put TF, Skn7,<br />

suggest<strong>in</strong>g that this <strong>in</strong>put TF is one <strong>of</strong> <strong>the</strong> ma<strong>in</strong> sensors <strong>of</strong><br />

hyperosmotic shock <strong>in</strong> S. cerevisiae, <strong>in</strong> agreement with previous<br />

results [28]. A similar conclusion can be drawn for<br />

all o<strong>the</strong>r environmental stimuli tested (Supplementary<br />

Fig. S5), suggest<strong>in</strong>g that only a subnet <strong>of</strong> organizer(s) are<br />

activated upon simple or complex environmental stimuli.<br />

Discussion<br />

The multitude <strong>of</strong> cellular tasks makes it necessary for cellular<br />

components to be hierarchically organized <strong>in</strong>to<br />

modules based on functional association [29]. One wellstudied<br />

aspect <strong>of</strong> this functional organization is <strong>the</strong> 'static<br />

map' <strong>of</strong> a TR network, i.e., <strong>the</strong> list <strong>of</strong> all possible transcription<br />

regulatory (TR) <strong>in</strong>teractions with<strong>in</strong> a cell. Small numbers<br />

<strong>of</strong> <strong>in</strong>dividual TR nodes (TFs and <strong>the</strong>ir regulated<br />

genes) are known to be arranged <strong>in</strong>to overrepresented,<br />

specifically wired <strong>in</strong>formation process<strong>in</strong>g units (motifs)<br />

[8], which <strong>in</strong> turn participate <strong>in</strong> a series <strong>of</strong> sequentially<br />

embedded higher order structures [9,10]. In an actual<br />

response, however, from all topological (static) possibilities<br />

<strong>in</strong> <strong>the</strong> TR network <strong>the</strong> cell utilizes only limited sets <strong>of</strong><br />

<strong>the</strong>se <strong>in</strong>teractions [12]. These <strong>in</strong>teractions are <strong>of</strong>ten <strong>signal</strong>specific<br />

[13], though <strong>the</strong>re are also many TR nodes that are<br />

known to be generic responders [12].<br />

However, TR <strong>in</strong>teractions represent only a subset <strong>of</strong> regulatory<br />

<strong>in</strong>teractions. In fact, prote<strong>in</strong>-prote<strong>in</strong>- and prote<strong>in</strong>metabolite<br />

<strong>in</strong>teractions represent <strong>the</strong> majority <strong>of</strong> <strong>in</strong>formation<br />

process<strong>in</strong>g <strong>in</strong>teractions <strong>of</strong> a cell (Fig. 4). When tak<strong>in</strong>g<br />

this <strong>in</strong>to account, additional heterogeneous <strong>in</strong>teraction<br />

patterns can be uncovered at various hierarchical scales<br />

[10,30]. Never<strong>the</strong>less, TR <strong>in</strong>teractions represent <strong>the</strong> 'slow<br />

component' <strong>of</strong> <strong>the</strong> overall network, whose behavior determ<strong>in</strong>es<br />

long-range response [1-3]. Thus, it is <strong>of</strong> great<br />

importance to understand how <strong>the</strong> large-scale structure <strong>of</strong><br />

a TR network reflects <strong>the</strong> <strong><strong>in</strong>tegration</strong> <strong>of</strong> <strong>the</strong> vast variety <strong>of</strong><br />

<strong>in</strong>dividual external <strong>signal</strong>s with each o<strong>the</strong>r and with <strong>the</strong><br />

cell's <strong>in</strong>ternal state.<br />

Detailed methods, a supplementary table and supplementary<br />

figures are also available [see Additional file 1].<br />

Conclusion<br />

From <strong>the</strong> analyses presented here <strong>the</strong> system-level picture<br />

aris<strong>in</strong>g for <strong>the</strong> <strong><strong>in</strong>tegration</strong> <strong>of</strong> TR <strong>signal</strong>s suggests <strong>the</strong> presence<br />

<strong>of</strong> a small number <strong>of</strong> large-scale <strong>signal</strong> <strong><strong>in</strong>tegration</strong><br />

'pools' (organizers) <strong>in</strong> <strong>the</strong> yeast TR network, along which<br />

<strong>signal</strong>s are processed and transmitted towards all target<br />

genes (Fig. 4). Regulatory connections <strong>in</strong>side organizers<br />

are dense, while <strong>in</strong>ter-organizer connections are sparse. In<br />

addition to this topological separation, <strong>the</strong> target genes <strong>of</strong><br />

Page 6 <strong>of</strong> 12<br />

(page number not for citation purposes)

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