1. Onset of power-law scaling behavior in idiotypic random and scale-free networks
- Author
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Iram Gleria, Paulo R. A. Campos, Elder S. Claudino, Marcelo L. Lyra, and Delvis Bertrand
- Subjects
Physics ,education.field_of_study ,Scaling behavior ,Percolation (cognitive psychology) ,Population ,Scale-free network ,General Physics and Astronomy ,State (functional analysis) ,Physics and Astronomy(all) ,Network topology ,Power law ,Quantitative Biology::Cell Behavior ,Immune system ,Exponential growth ,Scale-free networks ,Statistical physics ,education ,Idiotypic networks ,Scaling - Abstract
We numerically study the dynamics of model immune networks with random and scale-free topologies. We observe that a memory state is reached when the antigen is attached to the most connected sites of the network, whereas a percolation state may occur when the antigen attaches to the less connected sites. For increasing values of the connectivity of the antibody directly binded to the antigen, its population converges exponentially to the asymptotic value of the memory state. On the other hand, the next-nearest populations evolve slowly as power-laws towards the virgin-like state.
- Published
- 2012