Bump attractors and waves in networks of integrate-and-fire neurons

Role

Invited Talk

Location

World Congress on Computational Mechanics, Yokohama, 2022.

Date

August 2022

1. Numerical and Analytical Methods for Spatially-Extended Neurobiological Networks, A series of masterclass lectures at Centre for Complex Systems Studies, University of Utrecht, May 2024 Details...
2. Daniele Avitabile, Numerical Computation of Coherent Structures in Spatially-Extended Systems, 2020. Details...
3. Pattern formation in spatially-extended systems: theory and computations. Lectures for the XI Summer Mathematics Workshop. University of Brasilia, Brasil, 2019. Details...
4. Lecture for the Winter School on Deterministic and Stochastic Models in Neuroscience. Institut de Mathématiques de Toulouse, France, 2017. Details...
5. Numerical methods for computing patterns in infinite-dimensional, spatially-extended dynamical systems. Lectures at the Universidad Nacional Autonóma de México (Campus Morelia) and Instituto Tecnológico Autónomo de México (Mexico City). Mexico City, Mexico, 2017. Details...
6. Numerical bifurcation analysis for spatially-extended neural networks. Tutorial for the International Conference for Mathematical Neuroscience. Nice, France, 2016. Details...
7. Numerical computation of coherent structures in spatially-extended systems. Lectures at the LMS Invited Lecturer 2016 School on "Dynamics, Patterns and Spatially Localised Structures" Loughborough University, 2016. Details...
8. Multi-dimensional Localised Structures Institute for Mathematics and its Applications. Minnesota, United States, 2013. Details...
9. Application of Coarse-grained Bifurcation Analysis to Sociological Agent-based Models. Institute for Mathematics and its Applications, Minnesota, United States, 2013. Details...
10. Numerical continuation of coherent structures in reaction–diffusion systems. Short course "Numerical Continuation with AUTO" CWI Amsterdam, the Netherland, 2011. Details...

1. Uncertainty Quantification in Neurobiological Networks. Seminar, Department of Mathematics, University of Leiden, 2024. Details...
2. Uncertainty Quantification in Neurobiological Networks. Workshop on Uncertainty and Dynamics in Biological and Healthcare, Exeter University, 2024. Details...
3. Projection methods for neural field equations. Seminar, Delft Institute of Applied Mathematics, TU Delft, Delft, 2024. Details...
4. Waves and Bumps in networks of integrate-and-fire neurons. Seminar, Department of Mathematics, Boston University, Boston, 2023. Details...
5. Waves and Bumps in networks of integrate-and-fire neurons. Seminar, Seminar, Brandeis University, Waltham, 2023. Details...
6. Uncertainty Quantification in Neurobiological Networks. Invited talk at the workshop on Topics on Neuroscience, Collective Migration and Parameter Estimation, Oxford, 2023. Details...
7. Projection methods for neural field equations. Seminar, Division of Applied Mathematics, Brown University, Providence, 2024 Details...
8. Seminar, Department of Applied Mathematics, University of Colorado Boulder, Boulder, 2023. Details...
9. This is not a bump. Seminar, Institute for Computational and Experimental Research in Mathematics, Providence, 2023 Details...
10. Waves and Bumps in networks of integrate-and-fire neurons. Seminar, New Jersey Institute of Technology, Newark, 2023. Details...
11. Uncertainty Quantification in Neurobiological Networks. Invited talk at the workshop on Mathematical Challenges in Neuronal Network Dynamics, ICERM, Providence, 2023. Details...
12. Uncertainty Quantification in Neurobiological Networks. Invited talk at the Lorentz Centre Workshop on Uncertainty Quantification for Healthcare and Biological Systems, Leiden 2023. Details...
13. Uncertainty Quantification in Neurobiological Networks. Invited talk at the 14th Conference on Dynamical Systems Applied to Biology and Natural Sciences,, Bilbao, 2023. Details...
14. Uncertainty Quantification in Neurobiological Networks. Invited talk at the NDNS+ Meeting, Twente, 2023 Details...
15. Waves and Bumps in networks of integrate-and-fire neurons. Seminar, Engineering Mathematics Department of Bristol University, Bristol, 2023. Details...
16. This is not a bump. Seminar, Mathematics Department of Namur University, Namur, 2023. Details...
17. Uncertainty Quantification in Neurobiological Networks. Invited talk at the ChaMaNe (Challenges in Mathematics emerging from Neurosciences) Workshop, Paris, 2023 Details...
18. Uncertainty Quantification in Neurobiological Networks. Seminar talk at the Seminar at Politecnico di Milano, Milan, 2023. Details...
19. Projection methods for neurobiological networks. Invited talk at the SIAM Conference on Nonlinear Waves and Coherent Structures, Bremen, 2022 Details...
20. This is not a bump. Invited talk at the Workshop on Opening the can of large scale cortical dynamics: Theoretical and Experimental Tools, Nijmegen, 2022. Details...
21. Bump attractors and waves in networks of integrate-and-fire neurons. Invited talk at the World Congress on Computational Mechanics, Yokohama, 2022. Details...
22. Projection Methods for Spatially-Extended Neurobiological Models. Invited Minisymposium Talk at SIAM NWCS22 Details...
23. Projection Methods for Neurobiological Networks. Talk at the "Mathematical modeling of organization in living matter", Institute Henri Poincaré, 2022. Details...
24. Projection methods for neurobiological networks. Invited talk at the Workshop Mathematical Modeling and Statistical Analysis in Neuroscience, Paris, 2022. Details...
25. Canards and Slow Passage Through Bifurcations in Infinite-Dimensional Dynamical Systems. Lowlands Seminars 2021 Details...
26. Canards and Slow Passage Through Bifurcations in Infinite-Dimensional Dynamical Systems. Talk at the Dutch Mathematics Congress 2021 Details...
27. Invited talk at the Bilbao Neuroscience and Computational Biology Workshop, Bilbao, Spain, May 2020. Details...
28. This is not a bump. Colloquium talk at the Vrije Universiteit Amsterdam, Netherlands, 2020 Details...
29. This is not a bump. Seminar talk at the University of Edinburgh, UK, November 2019. Details...
30. Computing coherent structures in spiking neural networks using interfacial dynamics. Invited seminar talk at the University of Oxford. University of Oxford, 2019. Details...
31. From interface dynamics to coarse-grained computations in spatially-extended neural networks. Seminar at the Department of Mathematics. University of Leicester, UK, 2018. Details...
32. Do networks of integrate-and-fire neurons support localised spatiotemporal chaos? Seminar at the School of Mathematical Sciences and Statistics. University of Sheffield, UK, 2018. Details...
33. Bumps and waves in models of integrate-and-fire neurons. Seminar at the Université Côte d’Azure. Nice, France, 2018. Details...
34. Do networks of integrate-and-fire neurons support localised spatiotemporal chaos? SDG Workshop on Dynamical systems - theory and applications. Sydney, Australia, 2018. Details...
35. Transitions from Localised Multiple-spike Waves to Bumps in Spatially-extended Networks of Integrate-and-Fire Neurons. Minisymposium talk at the SIAM Conference on Nonlinear Waves and Coherent Structures. Orange County, California, USA, 2018. Details...
36. “Localised turbulence” in a networks of spatially-extended integrate-and-fire neurons. Perspectives in Nonlinear Sciences. Cargese, France, 2018. Details...
37. From interface dynamics to coarse-grained computations in spatially-extended neural networks. Seminar, Department of Mathematics. Heriot Watt University, 2018. Details...
38. Canards in neural field equations. Talk at the 3rd International Conference on Mathematical Neuroscience. Boulder, Colorado, USA, 2017. Details...
39. Canards in neural field equations. Minisymposium talk at the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
40. Analysing coherent structures via interfacial dynamics: from spatio-temporal canards to coarsegrained computations. Seminar at the University of Liverpool. University of Liverpool, UK, 2017. Details...
41. Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Seminar at the University of Newcastle. University of Newcastle, UK, 2017. Details...
42. Analysing coherent structures via interfacial dynamics: from spatio-temporal canards to coarsegrained computations. Seminar at the Centre de Recerca Matemàtica. Universitat Autònoma de Barcelona, Spain, 2017. Details...
43. Spatio-temporal canards in neural field models. Seminar at the National Autonomous University of Mexico (UNAM). University of Mexico (UNAM), Mexico, 2017. Details...
44. Numerical computation of coherent structures in spatially-extended systems. Seminar at the Autonomous Technological Institute of Mexico (ITAM). Autonomous Technological Institute of Mexico (ITAM), Mexico, 2017. Details...
45. Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Seminar at the Autonomous Technological Institute of Mexico (ITAM). Autonomous Technological Institute of Mexico (ITAM), UK, 2017. Details...
46. Numerical computation of coherent structures in stochastic neural networks: from interface dynamics to coarse-grained bifurcation analysis. Minisymposium talk at the Bernstein Conference. Berlin, Germany, 2016. Details...
47. Multiple Scales in spatially-extended neural networks. Minisymposium talk at the European Conference on Mathematical and Theoretical Biology. Nottingham, 2016. Details...
48. Coherent structures in neural networks: from interface methods to multi-scale computations. Talks at the International Conference for Mathematical Neuroscience. Nice, France, 2016. Details...
49. Coarse-grained bifurcation analysis of coherent structures in spatially-extended neural networks. Seminar. Department of Mathematical Sciences, University of Essex, 2016. Details...
50. Localised structures in neural networks: from interface methods to multi-scale computations. Seminar. School of Mathematical Sciences, University of Southampton, 2016. Details...
51. Coarse-grained bifurcation analysis in Agent-Based Models. Seminar. INRIA Lyon, 2015. Details...
52. Localised structures in nonlocal neural field models. Seminar, Center for Nonlinear Science. Westfälische Wilhelms-Universität, Münster, 2015. Details...
53. Localised structures in heterogeneous spatially-extended neural networks. Seminar. Technical University of Denmark, 2015. Details...
54. Localised structures in nonlocal neural field models. Seminar. School of Mathematics, University of Birmingham, 2015. Details...
55. Detection of coarse-grained activity in Networks with nonlocal coupling. Seminar. Department of Mathematics, Heriot Watt University., 2014. Details...
56. Localised structures in nonlocal neural field models. Seminar. School of Mathematics, University of Leeds, 2014. Details...
57. Lifting using weights: coarse bifurcation-analysis of Agent Based Models. Seminar. Department of Mathematics, Imperial College, London, 2014. Details...
58. The formation of stationary localised solutions in 1D and 2D integral neural field models. Minisymposium talk at the British Applied Mathematics Colloquium. University of Cardiff, 2014. Details...
59. Lifting using weights: coarse bifurcation-analysis of Agent Based Models. Seminar. Department of Mathematics, Durham University, Durham, 2014. Details...
60. Localised states in nonlocal neural field equations. PANDA Meeting. University of Surrey, 2013. Details...
61. Lifting Using Weights: Coarse-grained Bifurcation Analysis in Agent Based Models. SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2013. Details...
62. To snake or not to snake in the planar Swift–Hohenberg equation. Seminar. Department of Mathematics, University of Loughborough, 2013. Details...
63. Coarse-grained bifurcation analysis for agent-based models. Seminar. Department of Mathematics, University of Loughborough, 2012. Details...
64. Weighted lifting in coarse-grained bifurcation analysis of agent-based models. XXXII Dynamic Days Europe. University of Gothenburg, Sweden, 2012. Details...
65. Coarse-grained bifurcation analysis for agent-based models. Multiscale Modelling in Medicine and Biology. University of Nottingham, 2012. Details...
66. To snake or not to snake in the planar Swift–Hohenberg equation. Seminar. School of Mathematics, University of Manchester, UK, 2011. Details...
67. Equation-free methods in sociological models. Department of Sociology, Modelling and Simulation. ETH, Zürich, 2011. Details...
68. Continuation of oscillons in an autonomous system of reaction–diffusion equations. Invited talk at the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2011. Details...
69. Equation-free methods for numerical continuation in agent-based models. PANDA Meeting. University of Surrey, 2011. Details...
70. Active hearing processes in mosquitoes: from mesoscopic to macroscopic models. Seminar. Department of Mathematics, University of Surrey, 2011. Details...
71. Numerical Continuation: Theory and Applications. Seminar. Université Pierre et Marie Curie, 2011. Details...
72. Localised states in planar reaction–diffusion systems. Seminar. Department of Computer Science, Katholieke Universiteit Leuven, 2011. Details...
73. Snakes, ladders and oscillons. Seminar. Department of Mathematics, University of Portsmouth, 2011. Details...
74. To snake or not to snake in the planar Swift–Hohenberg equation. Seminar. Department of Mathematics and Computer Science, University of Exeter, 2010. Details...
75. Snaking and non-snaking planar patterns. Entry for the DSWeb Media Gallery, Patterns and Simulations. , 2010. Details...
76. To snake or not to snake in the planar Swift–Hohenberg equation. Seminar. School of Mathematics, University of Nottingham, 2010. Details...
77. Snakes, worms and hot spots. Seminar. Aerothermochemistry and Combustion Systems Laboratory, ETH, Zürich, 2010. Details...
78. Oscillatory localised patterns in reaction–diffusion equations. Seminar. Department of Mathematics, Université Pierre et Marie Curie, Paris, 2010. Details...
79. Active hearing processes in mosquitoes: from mesoscopic to macroscopic models. MACSI Seminar. Department of Mathematics, University of Limerick, 2009. Details...
80. To snake or not to snake in the planar Swift-Hohenberg equation. SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2009. Details...
81. Numerical continuation of fully two-dimensional localised patterns. SIAM Conference on Nonlinear Waves and Coherent Structures. Rome, 2008. Details...
82. Continuing coherent structures with TRILINOS. PANDA Meeting. Nottingham, 2007. Details...

1. International Conference on Mathematical Neuroscience 2024. Details...
2. Uncertainty Quantification for Healthcare and Biological Systems. Three-part minisymposium at the SIAM Conference on Uncertainty Quantification, Trieste, 2024 Details...
3. Uncertainty Quantification for Healthcare and Biological Systems. Lorentz Centre Workshop, Leiden, 2023. Details...
4. Advances in Mathematical Neuroscience: Data, Models, and Dynamics. Workshop at the Vrije Universiteit Amsterdam, Amsterdam, 2022. Details...
5. Bridging the Gap: from Brain Mechanics to Brain Dynamics, Lorentz Centre Workshop, Leiden, 2022. Details...
6. Neurodynamics: Investigations of Memory, Plasticity, Epilepsy, and Alzheimer's. Minisymposium at SIAM LS22 Details...
7. Multiple Timescale Analysis in Spatially-Extended Systems. Minisymposium at SIAM NWCS22 Details...
8. International Conference on Mathematical Neuroscience 2022 Details...
9. International Conference on Mathematical Neuroscience 2021 Details...
10. International Conference on Mathematical Neuroscience 2020 Details...
11. Dynamics Days Europe 2021, UCA Nice, France Details...
12. Dynamics Days Europe 2020 Details...
13. Series of 8 minisymposium sessions on Waves in biology. Waves Côte d’Azur, Nice, France, 2019. Details...
14. Mathematical Neuroscience. Minisymposium at the European Conference on Mathematical and Theoretical Biology. Lisbon, 2018. Details...
15. Spatial cell signalling. MiLS meeting, University of Nottingham, UK, 2018. Details...
16. Multiple timescale dynamics with applications to neuroscience. Two-part minisymposium at the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
17. Mathematical modelling of stem cell dynamics. MiLS meeting, University of Southampton, UK, 2017. Details...
18. Mathematical modelling in plant biology. MiLS meeting, University of Nottingham, UK, 2017. Details...
19. Quantitative evolutionary biology. MiLS meeting, University of Surrey, UK, 2017. Details...
20. Quantitative evolutionary biology. MiLS meeting, University of Surrey, UK, 2017. Details...
21. Minisymposium at the SIAM Conference on Applications of Dynamical Systems Snowbird, Utah, 2017. Details...
22. Mathematics of Biological Rhythms. MiLS meeting, University of Surrey, UK, 2016. Details...
23. Mathematical Neuroscience. MiLS meeting, University of Nottingham, UK, 2016. Details...
24. Evolution in biology, anthropology and social sciences. MiLS meeting, University of Southampton, UK, 2016. Details...
25. Advances in Mathematical Neuroscience. Minisymposium at the European Conference on Mathematical and Theoretical Biology. Nottingham, 2016. Details...
26. Multi-scale numerical methods. Minisymposium at the Workshop on Slow-fast dynamics: theory, numerics, application to life and earth sciences CRM, Barcelona, 2013. Details...
27. Stochastic transitions and bifurcation analysis. Minisymposium at the SIAM Conference on Applications of Dynamical Systems Snowbird, Utah, 2011. Details...
28. Recent Advances on Isolas and Invariant Manifolds: Numerics and Applications. Minisymposium at the SIAM Conference on Emerging Topics in Dynamical Systems and PDEs. Barcelona, Spain, 2010. Details...
29. Symmetries and Numerical Bifurcation Analysis of Large-scale PDEs. Minisymposium at the SIAM Conference on Emerging Topics in Dynamical Systems and PDEs, Barcelona, Spain, 2010. Details...
30. Dynamics of hearing. Minisymposium at the conference Dynamics Days Europe. Bristol, UK, 2010. Details...
31. Dynamics of hearing processes. Minisymposium at the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2009. Details...
32. Modelling active hearing processes. Minisymposium at the British Applied Mathematics Colloquium Manchester, 2008. Details...

1. Next Generation Neural Field Modelling. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
2. Spatially Localized Patterns in Networks of Spiking Neurons. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
3. Complex Action Potential Firing in Developing Inner Hair Cells. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
4. Coherent Behaviour in Non-Smooth Neural Networks. Co-authored invited talk at the the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2017. Details...
5. Localised travelling waves in spiking neural networks. Co-authored contributed talk at the Conference on Structural Nonlinear Dynamics and Diagnosis. Marrakech, 2016. Details...
6. Analysis of Two Phase Model of AvascularTumour Growth. Co-authored talk at the Complex Systems with Interfaces (COSI) workshop. University of Nottingham, 2016. Details...
7. Coarse grained analysis of patterned activity in a minimal neural network. Poster at the Workshop Generalized Network Structures and Dynamics. Mathematical Biosciences Institute, Ohio, 2016. Details...
8. Localised travelling waves in a network of integrate-and-fire neurons. Co-authored contributed talk at the LMS School on Patterns and Spatially Localised Structures. Loughborough, 2016. Details...
9. Snakes and ladders in a non-smooth heterogeneous neural-field model. Poster at the First International Conference on Mathematical Neuroscience. Nice, France, 2015. Details...
10. Travelling Wave and Bump Dynamics in a Spiking Neuronal Network. Poster at the First International Conference on Mathematical Neuroscience. Nice, France, 2015. Details...
11. Travelling Wave and Bump Dynamics in a Spiking Neuronal Network. Poster at the Integrated Systems Neuroscience Workshop. Manchester, UK, 2015. Details...
12. Interface Dynamics in Neural Fields. Co-authored talk at the Complex Systems with Interfaces (COSI) workshop. University of Birmingham, 2015. Details...
13. Spiral waves : interface analysis in a neural field. Poster at the First International Conference on Mathematical Neuroscience. Nice, France, 2015. Details...
14. An interface approach to planar neural fields: from spots to spirals. Poster at the Integrated Systems Neuroscience Workshop. Manchester, UK, 2015. Details...
15. Analysis and numerical simulations of a two-phase model of avascular tumour growth. Co-authored minisymposium talk at the British Applied Mathematics Colloquium. University of Cardiff, 2014. Details...
16. Unsteady travelling wave solutions of a system of reaction-diffusion equations. Co-authored minisymposium talk at the British Applied Mathematics Colloquium. University of Cardiff, 2014. Details...
17. Numerical Continuation of Grain Boundaries in the planar Swift-Hohenberg Equation. Co-authored minisymposium talk at the British Applied Mathematics Colloquium. University of Cardiff, 2014. Details...
18. Localised States and Pattern Formation in a Neural Field Model of the Primary Visual Cortex. Poster at the SIAM conference on Applications of Dynamical Systems. Snowbird, Utah, 2013. Details...
19. The neural basis of active hearing in the mosquito Aedes aegypti. Poster at the International Congress of Neuroethology. Salamanca, Spain, 2010. Details...
20. Modelling active hearing processes in mosquitoes. Contributed talk at ECMTB08. Edimburgh, 2008. Details...
21. Continuing two-dimensional coherent structures. Poster at the SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah, 2007. Details...
22. Numerical continuation of defects in reaction-diffusion systems. Contributed talk at the British Applied Mathematics Colloquium. Bristol, 2007. Details...
23. Computation of defects for reaction-diffusion systems: preliminary results. Poster at the SIAM Conference on Nonlinear Waves and Coherent Structures. Seattle, 2006. Details...