Search results for " Parallel Retrieval"

showing 2 items of 2 documents

Immune networks: multitasking capabilities near saturation

2013

Pattern-diluted associative networks were introduced recently as models for the immune system, with nodes representing T-lymphocytes and stored patterns representing signalling protocols between T- and B-lymphocytes. It was shown earlier that in the regime of extreme pattern dilution, a system with $N_T$ T-lymphocytes can manage a number $N_B!=!\order(N_T^\delta)$ of B-lymphocytes simultaneously, with $\delta!<!1$. Here we study this model in the extensive load regime $N_B!=!\alpha N_T$, with also a high degree of pattern dilution, in agreement with immunological findings. We use graph theory and statistical mechanical analysis based on replica methods to show that in the finite-connectivit…

Statistics and ProbabilityImmune Network Statistical Mechanics Hopfield Model Parallel RetrievalQuantitative Biology::Tissues and OrgansPhase (waves)FOS: Physical sciencesGeneral Physics and AstronomyInterference (wave propagation)TopologyQuantitative Biology::Cell BehaviorCell Behavior (q-bio.CB)Physics - Biological PhysicsFinite setMathematical PhysicsConnectivityAssociative propertyPhysicsDegree (graph theory)ReplicaStatistical and Nonlinear PhysicsGraph theoryDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksBiological Physics (physics.bio-ph)FOS: Biological sciencesModeling and SimulationQuantitative Biology - Cell BehaviorJournal of Physics A: Mathematical and Theoretical
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Immune networks: Multi-tasking capabilities at medium load

2013

Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number $P$ of simultaneously retrievable patterns scales with the number $N$ of nodes as $P\sim \log N$. In addition to their relevance in artificial intelligence, these models are increasingly important in immunology, where stored patterns represent strategies to fight pathogens and nodes represent lymphocyte clones. They allow us to understand the crucial ability of the immune system to respond simultaneously to multiple distinct antigen invasions. Here we develop further the statistical mechanical analysis of such systems, by studying the medium load r…

Statistics and ProbabilityModularity (networks)Theoretical computer scienceDegree (graph theory)Associative networkComputer scienceGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksModeling and SimulationFOS: Biological sciencesCell Behavior (q-bio.CB)Human multitaskingQuantitative Biology - Cell BehaviorRelevance (information retrieval)Cluster analysisImmune Network Statistical Mechanics Hopfield model Parallel RetrievalMathematical Physics
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