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[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …
of the interactions among their units. Over the past decades, a variety of complex systems …
Does the brain behave like a (complex) network? I. Dynamics
D Papo, JM Buldú - Physics of life reviews, 2024 - Elsevier
Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …
endowing observed brain anatomy and dynamics with a complex network structure does not …
Explosive higher-order Kuramoto dynamics on simplicial complexes
The higher-order interactions of complex systems, such as the brain, are captured by their
simplicial complex structure and have a significant effect on dynamics. However, the existing …
simplicial complex structure and have a significant effect on dynamics. However, the existing …
Principles and open questions in functional brain network reconstruction
Graph theory is now becoming a standard tool in system‐level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network representation …
endowing observed brain anatomy and dynamics with a complex network representation …
Uncovering the topology of time-varying fmri data using cubical persistence
Functional magnetic resonance imaging (fMRI) is a crucial technology for gaining insights
into cognitive processes in humans. Data amassed from fMRI measurements result in …
into cognitive processes in humans. Data amassed from fMRI measurements result in …
Multibody interactions and nonlinear consensus dynamics on networked systems
Multibody interactions can reveal higher-order dynamical effects that are not captured by
traditional two-body network models. In this work, we derive and analyze models for …
traditional two-body network models. In this work, we derive and analyze models for …
[HTML][HTML] The expanding horizons of network neuroscience: From description to prediction and control
The field of network neuroscience has emerged as a natural framework for the study of the
brain and has been increasingly applied across divergent problems in neuroscience. From a …
brain and has been increasingly applied across divergent problems in neuroscience. From a …
[HTML][HTML] Topology and dynamics of higher-order multiplex networks
Higher-order networks are gaining significant scientific attention due to their ability to
encode the many-body interactions present in complex systems. However, higher-order …
encode the many-body interactions present in complex systems. However, higher-order …
Modelling non-linear consensus dynamics on hypergraphs
The basic interaction unit of many dynamical systems involves more than two nodes. In such
situations where networks are not an appropriate modelling framework, it has recently …
situations where networks are not an appropriate modelling framework, it has recently …
Measuring the topology of reionization with Betti numbers
The distribution of ionized hydrogen during the epoch of reionization (EoR) has a complex
morphology. We propose to measure the 3D topology of ionized regions using the Betti …
morphology. We propose to measure the 3D topology of ionized regions using the Betti …