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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. No Access

    Chapter and Conference Paper

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

    Methods that generate networks sharing a given degree distribution and global clustering can induce changes in structural properties other than that controlled for. Diversity in structural properties, in turn,...

    Peter Overbury, István Z. Kiss in Complex Networks and Their Applications VII (2019)

  5. 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)

  6. No Access

    Chapter and Conference Paper

    A genetic algorithm-based approach to map** the diversity of networks sharing a given degree distribution and global clustering

    The structure of a network plays a key role in the outcome of dynamical processes operating on it. Two prevalent network descriptors are the degree distribution and the global clustering. However, when generat...

    Peter Overbury, Istvan Z. Kiss, Luc Berthouze in Complex Networks & Their Applications V (2017)

  7. No Access

    Chapter

    Map** Out Emerging Network Structures in Dynamic Network Models Coupled with Epidemics

    We consider the susceptible – infected – susceptible (SIS) epidemic on a dynamic network model with addition and deletion of links depending on node status. We analyse the resulting pairwise model using classi...

    István Z. Kiss, Luc Berthouze, Joel C. Miller in Temporal Network Epidemiology (2017)

  8. No Access

    Article

    Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

    An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochasti...

    András Szabó-Solticzky, Luc Berthouze, Istvan Z. Kiss in Journal of Mathematical Biology (2016)

  9. 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)

  10. 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)

  11. 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)

  12. 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)

  13. 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)

  14. 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)

  15. 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)

  16. No Access

    Chapter and Conference Paper

    Bifurcation Angles in Ant Foraging Networks: A Trade-Off between Exploration and Exploitation?

    The distribution of bifurcation angles found in ant foraging networks has been shown to give polarity to the networks so that nest-bound ants reaching a bifurcation can choose the appropriate direction. In thi...

    Luc Berthouze, Alexander Lorenzi in From Animals to Animats 10 (2008)

  17. No Access

    Article

    A Neural Model for Context-dependent Sequence Learning

    A novel neural network model is described that implements context-dependent learning of complex sequences. The model utilises leaky integrate-and-fire neurons to extract timing information from its input and m...

    Luc Berthouze, Adriaan Tijsseling in Neural Processing Letters (2006)

  18. No Access

    Chapter

    Robot Bouncing: On the Synergy Between Neural and Body-Environment Dynamics

    The study of how infants strapped in a Jolly Jumper learn to bounce can help clarify how they explore different ways of exploiting the dynamics of their movements. In this paper, we describe and discuss a set ...

    Max Lungarella, Luc Berthouze in Embodied Artificial Intelligence (2004)

  19. No Access

    Chapter and Conference Paper

    Interfacing Agents through Boundaries of Interaction Dynamics

    We propose our scenario towards the first few stages of understanding the basic principles of human-robot interface. A problem that is applicable across many tasks. We view the problem as the structure of coup...

    Yasuo Kuniyoshil, Akihiko Nagakubo, Luc Berthouze, Gordon Cheng in Robotics Research (2000)

  20. No Access

    Chapter and Conference Paper

    Understanding Subjectivity: An Interactionist View

    User modeling is traditionally about constructing an explicit representation of the user. We argue against such approach because it overlooks the real nature of the human brain: plasticity and absence of monol...

    Nadia Bianchi-Berthouze, Luc Berthouze, Toshikazu Kato in UM99 User Modeling (1999)

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