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Map** Structural Diversity in Networks Sharing a Given Degree Distribution and Global Clustering: Adaptive Resolution Grid Search Evolution with Diophantine Equation-Based Mutations

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  1. Article

    Open Access

    Towards Inferring Network Properties from Epidemic Data

    Epidemic propagation on networks represents an important departure from traditional mass-action models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and ...

    Istvan Z. Kiss, Luc Berthouze, Wasiur R. KhudaBukhsh in Bulletin of Mathematical Biology (2023)

  2. Article

    Open Access

    The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective

    The contact structure of a population plays an important role in transmission of infection. Many ‘structured models’ capture aspects of the contact pattern through an underlying network or a mixing matrix. An ...

    Francesco Di Lauro, Luc Berthouze, Matthew D. Dorey in Bulletin of Mathematical Biology (2021)

  3. Article

    Open Access

    Epidemic threshold in pairwise models for clustered networks: closures and fast correlations

    The epidemic threshold is probably the most studied quantity in the modelling of epidemics on networks. For a large class of networks and dynamics, it is well studied and understood. However, it is less so for...

    Rosanna C. Barnard, Luc Berthouze, Péter L. Simon in Journal of Mathematical Biology (2019)

  4. Article

    Open Access

    Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static–Dynamic Multiplex Network with Tunable Clustering

    The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into...

    Rosanna C. Barnard, Istvan Z. Kiss, Luc Berthouze in Bulletin of Mathematical Biology (2018)

  5. Article

    Open Access

    Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition

    Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher tha...

    Martin Ritchie, Luc Berthouze, Istvan Z. Kiss in Journal of Mathematical Biology (2016)

  6. Article

    Open Access

    Identification of Criticality in Neuronal Avalanches: II. A Theoretical and Empirical Investigation of the Driven Case

    The observation of apparent power laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of sel...

    Caroline Hartley, Timothy J Taylor in The Journal of Mathematical Neuroscience (2014)

  7. Article

    Open Access

    Identification of Criticality in Neuronal Avalanches: I. A Theoretical Investigation of the Non-driven Case

    In this paper, we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate ...

    Timothy J Taylor, Caroline Hartley in The Journal of Mathematical Neuroscience (2013)

  8. Article

    Open Access

    Adaptive time-varying detrended fluctuations analysis: a new method for characterizing time-varying scaling parameters in physiological time series

    Luc Berthouze, Simon F Farmer in BMC Neuroscience (2011)

  9. Article

    Open Access

    Detecting the presence of long-range temporal correlations in a time-varying measure of phase synchrony

    Maria Botcharova, Simon Farmer, Luc Berthouze in BMC Neuroscience (2011)

  10. Article

    Open Access

    Role of three key developmental variables in the emergence of long-range temporal correlations in a network of spiking neurons without plasticity

    Nicholas Ward, Simon F Farmer, Luc Berthouze in BMC Neuroscience (2010)

  11. Article

    Open Access

    Role of STDP and heterogeneity in the emergence of long-range temporal correlations and frequency scaling in networks of LIF neurons

    Thomas ‘Greg’ Corcoran, Simon F Farmer, Luc Berthouze in BMC Neuroscience (2010)

  12. Article

    Emergence and Categorization of Coordinated Visual Behavior Through Embodied Interaction

    This paper discusses the emergence of sensorimotor coordination for ESCHeR, a 4DOF redundant foveated rob ot-head, by interaction with its environment. A feedback-error-learning(FEL)-based distributed control ...

    Luc Berthouze, Yasuo Kuniyoshi in Machine Learning (1998)