5 papers
Weight geometry governs functional memory in complex systems
Elkaïoum M. Moutuou, Habib Benali
Complex systems, from gene regulatory networks to neural circuits and ecological food webs, exhibit rich functional behaviour that topology alone does not capture. Yet functional c…
Thermodynamic connectivity reveals functional specialization and multiplex organization of extrasynaptic signaling
Giridhar Sunil, Habib Benali, Elkaïoum M. Moutuou
Neural communication operates on both fast synaptic transmission and slower, diffusive extrasynaptic signaling, yet how these two modes jointly organize brain function remains uncl…
Graphs are focal hypergraphs: strict containment in higher-order interaction dynamics
Elkaïoum M. Moutuou
We introduce a taxonomy of interaction types and show that graphs are focal hypergraphs: every graph is canonically a focal hypergraph via its closed neighbourhood structure, and e…
Kubo-Martin-Schwinger states of Path-structured Flow in Directed Brain Synaptic Networks
El-kaïoum M. Moutuou, Habib Benali
The brain's synaptic network, characterized by parallel connections and feedback loops, drives interaction pathways between neurons through a large system with infinitely many degr…
Brain functions emerge as thermal equilibrium states of the connectome
Elkaïoum M. Moutuou, Habib Benali
A fundamental idea in neuroscience is that cognitive functions -- such as perception, learning, memory, and locomotion -- are shaped and constrained by the brain's structural organ…