List of publications

Click on Details to access each publication's DOI and PDF.

Preprints

  1. Pieper-Sethmacher T., Avitabile D., van der Meulen F. (2025). Guided filtering and smoothing for infinite-dimensional diffusions. arXiv:2507.06786. Details...
  2. Avitabile D., Cavallini F., Dubinkina S., Lord G. J. (2025). Stochastic Collocation Schemes for Neural Field Equations with Random Data. arXiv:2505.16443. Details...

Journal articles

  1. Avitabile D., Lord G. J., Meddouni K. (2026). State and parameter estimation for a neural model of local field potentials. Journal of Mathematical Biology 93(4), 52. Details...
  2. Doorakkers D., Avitabile D., van den Berg J. B. (2026). A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters. Nonlinearity 39(9), 095010. Details...
  3. Palmer N., Cihak H. L., Avitabile D., Kilpatrick Z. P. (2026). Astrocytic Resource Diffusion Stabilizes Persistent Activity in Neural Fields. SIAM Journal on Life Sciences 1(3), 485–508. Details...
  4. Baspinar E., Avitabile D., Nouveau C., Desroches M., Campillo F., Mantegazza M. (2026). An astro-neural-field model with application to cortical spreading depolarization. Journal of Computational Neuroscience 54(3), 559–576. Details...
  5. Avitabile D., Cavallini F., Dubinkina S., Lord G. J. (2026). Neural Field Equations with Random Data. SIAM/ASA Journal on Uncertainty Quantification 14(2), 534–567. Details...
  6. Avitabile D., MacLaurin J. (2026). Neural Fields and Noise-Induced Patterns in Neurons on Large Disordered Networks. SIAM Journal on Applied Mathematics 86(2), 427–456. Details...
  7. Shaw S. B., Kilpatrick Z. P., Avitabile D. (2026). Radial Basis Function Techniques for Neural Field Models on Surfaces. SIAM Journal on Scientific Computing 48(2), A668–A694. Details...
  8. Baspinar E., Simonti M., Srour H., Desroches M., Avitabile D., Mantegazza M. (2025). GABAergic neurons can facilitate the propagation of cortical spreading depolarization: experiments in mouse neocortical slices and a novel neural field computational model. PLOS Computational Biology 21(6), e1013099. Details...
  9. Wojtak W., Coombes S., Avitabile D., Bicho E., Erlhagen W. (2024). Robust working memory in a two-dimensional continuous attractor network. Cognitive Neurodynamics 18(6), 3273–3289. Details...
  10. Ciceri S., Oude Lohuis M. N., Rottschäfer V., Pennartz C. M. A., Avitabile D., van Gaal S., Olcese U. (2024). The Neural and Computational Architecture of Feedback Dynamics in Mouse Cortex during Stimulus Report. eNeuro 11(9), ENEURO.0191-24.2024. Details...
  11. Avitabile D., Chemetov N. V., Lima P. M. (2024). Well-Posedness and Regularity of Solutions to Neural Field Problems with Dendritic Processing. Journal of Nonlinear Science 34(4), 74. Details...
  12. Bellows S., Janes G., Avitabile D., King J. R., Bishopp A., Farcot E. (2023). Fluctuations in auxin levels depend upon synchronicity of cell divisions in a one-dimensional model of auxin transport. PLOS Computational Biology 19(11), e1011646. Details...
  13. Avitabile D. (2023). Projection Methods for Neural Field Equations. SIAM Journal on Numerical Analysis 61(2), 562–591. Details...
  14. Avitabile D., Davis J. L., Wedgwood K. (2023). Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons. SIAM Review 65(1), 147–182. Details...
  15. Avitabile D., Desroches M., Ermentrout G. B. (2022). Cross-scale excitability in networks of quadratic integrate-and-fire neurons. PLOS Computational Biology 18(10), e1010569. Details...
  16. Taher H., Avitabile D., Desroches M. (2022). Bursting in a next generation neural mass model with synaptic dynamics: a slow–fast approach. Nonlinear Dynamics 108(4), 4261–4285. Details...
  17. Whiteley T. D., Avitabile D., Siebers P.-O., Robinson D., Owen M. R. (2022). Modelling the emergence of cities and urban patterning using coupled integro-differential equations. Journal of The Royal Society Interface 19(190), 20220176. Details...
  18. Wojtak W., Coombes S., Avitabile D., Bicho E., Erlhagen W. (2021). A dynamic neural field model of continuous input integration. Biological Cybernetics 115(5), 451–471. Details...
  19. Baspinar E., Avitabile D., Desroches M. (2021). Canonical models for torus canards in elliptic bursters. Chaos: An Interdisciplinary Journal of Nonlinear Science 31(6), 063129. Details...
  20. Nicks R., Cocks A., Avitabile D., Johnston A., Coombes S. (2021). Understanding Sensory Induced Hallucinations: From Neural Fields to Amplitude Equations. SIAM Journal on Applied Dynamical Systems 20(4), 1683–1714. Details...
  21. Gökçe A., Coombes S., Avitabile D. (2020). Quasicrystal patterns in a neural field model. Physical Review Research 2(1), 013234. Details...
  22. Schmidt H., Avitabile D. (2020). Bumps and oscillons in networks of spiking neurons. Chaos: An Interdisciplinary Journal of Nonlinear Science 30(3), 033133. Details...
  23. Ross J., Margetts M., Bojak I., Nicks R., Avitabile D., Coombes S. (2020). Brain-wave equation incorporating axodendritic connectivity. Physical Review E 101(2), 022411. Details...
  24. Avitabile D., Coombes S., Lima P. M. (2020). Numerical investigation of a neural field model including dendritic processing. Journal of Computational Dynamics 7(2), 271–290. Details...
  25. Avitabile D., Desroches M., Veltz R., Wechselberger M. (2020). Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM Journal on Mathematical Analysis 52(6), 5703–5747. Details...
  26. Baldemir H., Avitabile D., Tsaneva-Atanasova K. (2020). Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells. Communications in Nonlinear Science and Numerical Simulation 80, 104979. Details...
  27. Byrne Á., Avitabile D., Coombes S. (2019). Next-generation neural field model: The evolution of synchrony within patterns and waves. Physical Review E 99(1), 012313. Details...
  28. Schmidt H., Avitabile D., Montbrió E., Roxin A. (2018). Network mechanisms underlying the role of oscillations in cognitive tasks. PLOS Computational Biology 14(9), e1006430. Details...
  29. Cox B. S., Groh R. M. J., Avitabile D., Pirrera A. (2018). Modal nudging in nonlinear elasticity: Tailoring the elastic post-buckling behaviour of engineering structures. Journal of the Mechanics and Physics of Solids 116, 135–149. Details...
  30. Joshi T. V., Avitabile D., Owen M. R. (2018). Capturing the Dynamics of a Hybrid Multiscale Cancer Model with a Continuum Model. Bulletin of Mathematical Biology 80(6), 1435–1475. Details...
  31. Cox B. S., Groh R. M. J., Avitabile D., Pirrera A. (2018). Exploring the design space of nonlinear shallow arches with generalised path-following. Finite Elements in Analysis and Design 143, 1–10. Details...
  32. Groh R. M. J., Avitabile D., Pirrera A. (2018). Generalised path-following for well-behaved nonlinear structures. Computer Methods in Applied Mechanics and Engineering 331, 394–426. Details...
  33. Avitabile D., Breña V. F., Ward M. J. (2018). Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation. SIAM Journal on Applied Mathematics 78(1), 291–319. Details...
  34. Gökçe A., Avitabile D., Coombes S. (2017). The Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditions. The Journal of Mathematical Neuroscience 7(1), 12. Details...
  35. Avitabile D., Desroches M., Knobloch E., Krupa M. (2017). Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2207), 20170018. Details...
  36. Esnaola-Acebes J. M., Roxin A., Avitabile D., Montbrió E. (2017). Synchrony-induced modes of oscillation of a neural field model. Physical Review E 96(5), 052407. Details...
  37. Avitabile D., Wedgwood K. C. A. (2017). Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis. Journal of Mathematical Biology 75(4), 885–928. Details...
  38. Avitabile D., Desroches M., Knobloch E. (2017). Spatiotemporal canards in neural field equations. Physical Review E 95(4), 042205. Details...
  39. Avitabile D., Słowiński P., Bardy B., Tsaneva-Atanasova K. (2016). Beyond in-phase and anti-phase coordination in a model of joint action. Biological Cybernetics 110(2-3), 201–216. Details...
  40. Draelants D., Avitabile D., Vanroose W. (2015). Localized auxin peaks in concentration-based transport models of the shoot apical meristem. Journal of The Royal Society Interface 12(106), 20141407. Details...
  41. Iosub R., Avitabile D., Grant L., Tsaneva-Atanasova K., Kennedy H. J. (2015). Calcium-Induced Calcium Release during Action Potential Firing in Developing Inner Hair Cells. Biophysical Journal 108(5), 1003–1012. Details...
  42. Avitabile D., Schmidt H. (2015). Snakes and ladders in an inhomogeneous neural field model. Physica D: Nonlinear Phenomena 294, 24–36. Details...
  43. Breña-Medina V. F., Avitabile D., Champneys A. R., Ward M. J. (2015). Stripe to Spot Transition in a Plant Root Hair Initiation Model. SIAM Journal on Applied Mathematics 75(3), 1090–1119. Details...
  44. Rankin J., Avitabile D., Baladron J., Faye G., Lloyd D. J. B. (2014). Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations. SIAM Journal on Scientific Computing 36(1), B70–B93. Details...
  45. Avitabile D., Hoyle R., Samaey G. (2014). Noise Reduction in Coarse Bifurcation Analysis of Stochastic Agent-Based Models: An Example of Consumer Lock-In. SIAM Journal on Applied Dynamical Systems 13(4), 1583–1619. Details...
  46. Penn A. S., Knight C. J. K., Lloyd D. J. B., Avitabile D., Kok K., Schiller F., Woodward A., Druckman A., Basson L. (2013). Participatory Development and Analysis of a Fuzzy Cognitive Map of the Establishment of a Bio-Based Economy in the Humber Region. PLoS ONE 8(11), e78319. Details...
  47. Avitabile D., Desroches M., Rodrigues S. (2012). On the numerical continuation of isolas of equilibria. International Journal of Bifurcation and Chaos 22(11), 1250277. Details...
  48. Hoyle R. B., Avitabile D., Kierzek A. M. (2012). Equation-Free Analysis of Two-Component System Signalling Model Reveals the Emergence of Co-Existing Phenotypes in the Absence of Multistationarity. PLoS Computational Biology 8(6), e1002396. Details...
  49. Pirrera A., Avitabile D., Weaver P. M. (2012). On the thermally induced bistability of composite cylindrical shells for morphing structures. International Journal of Solids and Structures 49(5), 685–700. Details...
  50. Wales C., Gaitonde A. L., Jones D. P., Avitabile D., Champneys A. R. (2012). Numerical continuation of high Reynolds number external flows. International Journal for Numerical Methods in Fluids 68(2), 135–159. Details...
  51. Schlömer N., Avitabile D., Vanroose W. (2012). Numerical Bifurcation Study of Superconducting Patterns on a Square. SIAM Journal on Applied Dynamical Systems 11(1), 447–477. Details...
  52. Pirrera A., Avitabile D., Weaver P. M. (2011). Numerical continuation of bistable composite cylindrical shells. Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics 164(3), 147–153. Details...
  53. Champneys A. R., Avitabile D., Homer M., Szalai R. (2011). The mechanics of hearing: a comparative case study in bio-mathematical modelling. The ANZIAM Journal 52(3), 225–249. Details...
  54. Pirrera A., Avitabile D., Weaver P. M. (2010). Bistable plates for morphing structures: A refined analytical approach with high-order polynomials. International Journal of Solids and Structures 47(25-26), 3412–3425. Details...
  55. Avitabile D., Bridges T. J. (2010). Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity. Physica D: Nonlinear Phenomena 239(12), 1038–1047. Details...
  56. Avitabile D., Homer M., Champneys A. R., Jackson J. C., Robert D. (2010). Mathematical modelling of the active hearing process in mosquitoes. Journal of The Royal Society Interface 7(42), 105–122. Details...
  57. Avitabile D., Lloyd D. J. B., Burke J., Knobloch E., Sandstede B. (2010). To Snake or Not to Snake in the Planar Swift–Hohenberg Equation. SIAM Journal on Applied Dynamical Systems 9(3), 704–733. Details...
  58. Lloyd D. J. B., Sandstede B., Avitabile D., Champneys A. R. (2008). Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation. SIAM Journal on Applied Dynamical Systems 7(3), 1049–1100. Details...
  59. Gardes F. Y., Tsakmakidis K. L., Thomson D., Reed G. T., Mashanovich G. Z., Hess O., Avitabile D. (2007). Micrometer size polarization independent depletion-type photonic modulator in Silicon On Insulator. Optics Express 15(9), 5879. Details...

Book chapters

  1. Gökçe A., Avitabile D., Coombes S. (2020). Labyrinths: Exotic Patterns of Cortical Activity. In The Art of Theoretical Biology, Springer, 32–33. Details...
  2. Gökçe A., Coombes S., Avitabile D. (2017). Neural Fields: Localised States with Piece-Wise Constant Interactions. In Mathematical and Theoretical Neuroscience, Springer, 111–121. Details...
  3. Coombes S., Schmidt H., Avitabile D. (2014). Spots: Breathing, Drifting and Scattering in a Neural Field Model. In Neural Fields, Springer, 187–211. Details...

Conference proceedings

  1. Szostek C., Avitabile D., Tsaneva-Atanasova K. (2012). Equation free stability analysis of automated algorithmic trading. In European Conference on Complex Systems, Brussels, Belgium. Details...
  2. Avitabile D., Homer M., Jackson J., Robert D., Champneys A. (2011). Modelling the Active Hearing Process in Mosquitoes. In What Fire is in Mine Ears: Progress in Auditory Biomechanics, AIP Conference Proceedings 1403, 447–452. Details...
  3. Avitabile D., Desroches M., Rodrigues S. (2011). Numerical continuation of isolas of equilibria. In 7th European Nonlinear Dynamics Conference, Rome, Italy. Details...
  4. Pirrera A., Avitabile D., Weaver P. M. (2011). On the Thermally-Induced Bistability of Composite Panels for Morphing Applications. In Deformation and Fracture of Composites, Cambridge, UK. Details...
  5. Pirrera A., Avitabile D., Weaver P. M. (2009). Bistability of composite cylindrical shells. In 17th International Conference on Composite Materials, Edinburgh, UK. Details...