Phys.org

Computational biologist Sergei Maslov of Brookhaven National
Laboratory worked with graduate student Tin Yau Pang from Stony Brook
University to compare the frequency with which components "survive" in
two complex systems: bacterial genomes and operating systems on Linux
computers. Their work is published in the Proceedings of the National
Academy of Sciences.

Maslov and Pang set out to determine not only why some specialized
genes or computer programs are very common while others are fairly
rare, but to see how many components in any system are so important
that they can't be eliminated. "If a bacteria genome doesn't have a
particular gene, it will be dead on arrival," Maslov said. "How many
of those genes are there? The same goes for large software systems.
They have multiple components that work together and the systems
require just the right components working together to thrive.'"

Using data from the massive sequencing of bacterial genomes, now a
part of the DOE Systems Biology Knowledgebase (KBase), Maslov and Pang
examined the frequency of usage of crucial bits of genetic code in the
metabolic processes of 500 bacterial species and found a surprising
similarity with the frequency of installation of 200,000 Linux
packages on more than 2 million individual computers. Linux is an open
source software collaboration that allows designers to modify source
code to create programs for public use.

The most frequently used components in both the biological and
computer systems are those that allow for the most descendants. That
is, the more a component is relied upon by others, the more likely it
is to be required for full functionality of a system.

It may seem logical, but the surprising part of this finding is how
universal it is. "It is almost expected that the frequency of usage of
any component is correlated with how many other components depend on
it," said Maslov. "But we found that we can determine the number of
crucial components – those without which other components couldn't
function – by a simple calculation that holds true both in biological
systems and computer systems."

For both the bacteria and the computing systems, take the square root
of the interdependent components and you can find the number of key
components that are so important that not a single other piece can get
by without them.

Maslov's finding applies equally to these complex networks because
they are both examples of open access systems with components that are
independently installed. "Bacteria are the ultimate BitTorrents of
biology," he said, referring to a popular file-sharing protocol. "They
have this enormous common pool of genes that they are freely sharing
with each other. Bacterial systems can easily add or remove genes from
their genomes through what's called horizontal gene transfer, a kind
of file sharing between bacteria," Maslov said.

The same goes for Linux operating systems, which allow free
installation of components built and shared by a multitude of
designers independently of one another. The theory wouldn't hold true
for, say, a Windows operating system, which only runs proprietary
programs.



More information: Universal distribution of component frequencies in
biological and technological systems,
www.pnas.org/content/early/2013/03/21/1217795110.abstract

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