Jain, Sanjay and Krishna, Sandeep (2001) A model for the emergence of cooperation, interdependence, and structure in evolving networks. In: Proceedings of the National Academy of Sciences of the United States of America, 98 (2). pp. 543-547.
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Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of cooperative molecular species arises and evolves to become more complex and structured. The network is modeled by a directed weighted graph whose positive and negative links represent "catalytic" and "inhibitory" interactions among the molecular species, and which evolves as the least populated species (typically those that go extinct) are replaced by new ones. A small autocatalytic set, appearing by chance, provides the seed for the spontaneous growth of connectivity and cooperation in the graph. A highly structured chemical organization arises inevitably as the autocatalytic set enlarges and percolates through the network in a short analytically determined timescale. This self organization does not require the presence of self-replicating species. The network also exhibits catastrophes over long timescales triggered by the chance elimination of "keystone" species, followed by recoveries.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to National Academy of Sciences.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Physics
|Date Deposited:||23 Oct 2007|
|Last Modified:||19 Sep 2010 04:40|
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