The phase transition in inhomogeneous random graphs
Random Structures & Algorithms
Scalable simulation of cellular signaling networks
APLAS'07 Proceedings of the 5th Asian conference on Programming languages and systems
Abstract interpretation of cellular signalling networks
VMCAI'08 Proceedings of the 9th international conference on Verification, model checking, and abstract interpretation
Rule-based modelling of cellular signalling
CONCUR'07 Proceedings of the 18th international conference on Concurrency Theory
DNA'11 Proceedings of the 17th international conference on DNA computing and molecular programming
| Hi-index | 5.23 |
This paper proposes an investigation of the global statistics of synthetic protein networks-a step towards a systemic understanding of their design space. We derive a liquidity index which describes the onset of the phase transition where an ensemble of agents aggregates into a giant cluster. This index captures the influence of both the domain distribution of agents and the binding strengths of their various domains in the limit of infinite populations. In simple cases it is possible to derive an explicit analytical expression of this index, which allows one to compare with simulations, and get a sense of how it transfers to the concrete finite case.