89 citations · 92 across the 5 of their papers we have counts for
7 papers
Effects of random inputs and short-term synaptic plasticity in a LIF conductance model for working memory applications
Thi Kim Thoa Thieu, Roderick Melnik
Working memory (WM) has been intensively used to enable the temporary storing of information for processing purposes, playing an important role in the execution of various cognitiv…
Combining Coupled Skorokhod SDEs and Lattice Gas Frameworks for Multi-fidelity Modelling of Complex Behavioral Systems
Thi Kim Thoa Thieu, Roderick Melnik
To model reliably behavioral systems with complex bio-social interactions, accounting for uncertainty quantification, is critical for many application areas. However, in terms of t…
The topology of higher-order complexes associated with brain-function hubs in human connectomes
Miroslav Andjelkovic, Bosiljka Tadic, Roderick Melnik
Higher-order connectivity in complex systems described by simplexes of different orders provides a geometry for simplex-based dynamical variables and interactions. Simplicial compl…
Spectral properties of hyperbolic nano-networks with tunable aggregation of simplexes
Marija Mitrovic Dankulov, Bosiljka Tadic, Roderick Melnik
Cooperative self-assembly can result in complex nano-networks with new hyperbolic geometry. However, the relation between the hyperbolicity and spectral and dynamical features of t…
Functional Geometry of Human Connectome and Robustness of Gender Differences
Bosiljka Tadic, Miroslav Andjelkovic, Roderick Melnik
Mapping the brain imaging data to networks, where each node represents a specific area of the brain, has enabled an objective graph-theoretic analysis of human connectome. However,…
The Luttinger-Kohn theory for multiband Hamiltonians: A revision of ellipticity requirements
Dmytro Sytnyk, Roderick Melnik
Modern applications require a robust and theoretically solid tool for the realistic modeling of electronic states in low dimensional nanostructures. The theory has frui…