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Principles of cell signaling - UT Southwestern

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39057_ch14_<strong>cell</strong>bio.qxd 8/28/06 5:11 PM Page 597<br />

Developing quantitative models <strong>of</strong> <strong>signaling</strong><br />

networks is a frontier in <strong>signaling</strong> biology. These<br />

models both help describe network function<br />

and pinpoint experiments to clarify mechanism.<br />

14.7<br />

Cellular <strong>signaling</strong><br />

pathways can be thought<br />

<strong>of</strong> as biochemical logic<br />

circuits<br />

Key concepts<br />

• Signaling networks are composed <strong>of</strong> groups <strong>of</strong><br />

biochemical reactions that function as<br />

mathematical logic functions to integrate<br />

information.<br />

• Combinations <strong>of</strong> such logic functions combine as<br />

<strong>signaling</strong> networks to process information at more<br />

complex levels.<br />

As introduced in the preceding section, processes<br />

that <strong>signaling</strong> pathways use to integrate and direct<br />

information to <strong>cell</strong>ular targets are strikingly analogous<br />

to the mathematical logic functions that are<br />

used to design the individual circuits <strong>of</strong> electronic<br />

computers. Indeed, there are biological equivalents<br />

<strong>of</strong> essentially all <strong>of</strong> the functional components<br />

that computer scientists and engineers<br />

consider in the design <strong>of</strong> computers and electronic<br />

control devices. To understand <strong>signaling</strong> pathways,<br />

it is, therefore, useful to consider groups <strong>of</strong><br />

reactions within a pathway as constituting logic circuits<br />

<strong>of</strong> the sort used in electronic computing, as<br />

illustrated in FIGURE 14.5. The simplest example is<br />

when two stimulatory pathways converge. If sufficient<br />

input from either is adequate to elicit the<br />

response, the convergence would constitute an<br />

“OR” function. If neither input is sufficient by itself<br />

but the combination <strong>of</strong> the two elicits the response,<br />

then the converging pathways would<br />

create “AND” functions. AND circuits are also referred<br />

to as coincidence detectors—a response<br />

is elicited only when two stimulating pathways<br />

are activated simultaneously.<br />

AND functions can result from the combination<br />

<strong>of</strong> two similar but quantitatively inadequate<br />

inputs. Alternatively, two mechanistically<br />

different inputs might both be required to elicit<br />

a response. An example <strong>of</strong> the latter would be<br />

a target protein that is allosterically activated<br />

only when phosphorylated, or that is activated<br />

by phosphorylation but is only functional when<br />

recruited to a specific sub<strong>cell</strong>ular location.<br />

The opposite <strong>of</strong> an AND circuit is a NOT<br />

function, where one pathway blocks the stim-<br />

Logical (Boolean)<br />

A<br />

B<br />

A + B<br />

A<br />

B<br />

A + B<br />

A<br />

B<br />

A + B<br />

A OR B<br />

A AND B<br />

A NOT B<br />

Response<br />

Response<br />

Response<br />

Response<br />

Response<br />

Simple logic circuits<br />

Response<br />

Quantitative (Analog)<br />

A + fixed [B]<br />

Response<br />

Response<br />

Additive<br />

ulatory effect <strong>of</strong> another. Simple logic gates are<br />

observed at many locations in <strong>cell</strong>ular <strong>signaling</strong><br />

pathways.<br />

We can also think about convergent <strong>signaling</strong><br />

in quantitative rather than Boolean terms<br />

by considering the additivity <strong>of</strong> inputs to a distinct<br />

process (see Figure 14.5, right). The OR<br />

function referred to above can be considered to<br />

be the additive positive inputs <strong>of</strong> two pathways.<br />

Such additivity could represent the ability <strong>of</strong><br />

several receptors to stimulate a pool <strong>of</strong> a particular<br />

G protein or the ability <strong>of</strong> two protein kinases<br />

to phosphorylate a single substrate.<br />

Additivity may be positive, as in the examples<br />

above, or negative, such as when two inhibitory<br />

inputs combine. Inhibition and stimulation may<br />

also combine additively to yield an algebraically<br />

balanced output. Alternatively, multiple inputs<br />

can combine with either more or less than an<br />

additive effect. The NOT function, discussed<br />

above, is analogous to describing a blockade <strong>of</strong><br />

stimulation. The AND function describes synergism,<br />

where one input potentiates another<br />

but alone has little effect.<br />

Even simple <strong>signaling</strong> networks can display<br />

complex patterns <strong>of</strong> information processing. One<br />

A<br />

log (agonist concentration)<br />

More than additive<br />

log (agonist concentration)<br />

Less than additive<br />

log (agonist concentration)<br />

B<br />

A + B<br />

A<br />

B<br />

A<br />

A + B<br />

B<br />

FIGURE 14.5 Signaling networks use simple logic functions to process<br />

information. Boolean OR, AND, and NOT functions (left) correspond to<br />

the quantitative interactions between converging signals that are shown<br />

on the right.<br />

14.7 Cellular <strong>signaling</strong> pathways can be thought <strong>of</strong> as biochemical logic circuits 597

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