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Prof Carlo Laing BSc, MSc, PhD

Professor

Institute of Natural and Mathematical Sciences

Professional

Qualifications

  • BSc - Auckland University (1992)
  • MSc - Auckland University (1994)
  • PhD - Cambridge University (1998)

Research Expertise

Area of Expertise

Field of research codes
Applied Mathematics (010200): Biological Mathematics (010202): Dynamical Systems in Applications (010204): Mathematical Sciences (010000): Numerical and Computational Mathematics (010300)

Research Projects

Summary of Research Projects

Position Current Completed
Project Leader 0 1

Completed Projects

Project Title: Complexity reduction in neural models

Mathematical models of biological systems provide understanding and predictive power. However, as more information about a particular system is collected, its model becomes increasingly complicated. This makes the models better, because they are becoming more realistic and therefore potentially more useful, but in turn they are becoming harder to simulate and analyse. The aim of this research is to overcome this problem by using recently-developed, so-called ¿equation-free¿ techniques for the study of complex systems, concentrating on a variety of model neural networks. In particular we will study the respiratory neural system. This complex system regulates breathing by sending electrical signals to the diaphragm and other respiratory muscles, causing them to periodically contract and relax. Equation-free techniques allow one to automatically simplify a complex system such as the respiratory neural network by using judiciously designed computer simulations to capture the ¿essence¿ of the original complex system in terms of the correct variables. This provides insights and understanding that cannot be found in any other way.
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Date Range: 2009 - 2012

Funding Body: Marsden Fund - Full

Project Team:

Research Outputs

Journal

Laing, CR., bertalan, T., wu, Y., gear, W., & kevrekidis, I. (2017). Coarse-Grained Descriptions of Dynamics for Networks with Both Intrinsic and Structural Heterogeneities. Frontiers in Computational Neuroscience. 11
[Journal article]Authored by: Laing, C.
Laing, CR. (2017). Chimeras in two-dimensional domains: Heterogeneity and the continuum limit. SIAM Journal on Applied Dynamical Systems. 16(2), 974-1014
[Journal article]Authored by: Laing, C.
Laing, CR., Choi, M., Bertalan, T., & Kevrekidis, IG. (2016). Dimension reduction in heterogeneous neural networks: generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA). Eur. Phys. J. Special Topics. 225, 1165-1180
[Journal article]Authored by: Laing, C.
Choi, M., Bertalan, T., Laing, CR., & Kevrekidis, IG. (2016). Dimension reduction in heterogeneous neural networks: Generalized Polynomial Chaos (gPC) and ANalysis-Of-VAriance (ANOVA). European Physical Journal: Special Topics. 225(6-7), 1165-1180
[Journal article]Authored by: Laing, C.
Rajendran, K., Tsoumanis, AC., Siettos, CI., Laing, CR., & Kevrekidis, IG. (2016). Modeling heterogeneity in networks using polynomial chaos. International Journal for Multiscale Computational Engineering. 14(3), 291-302
[Journal article]Authored by: Laing, C.
Laing, CR. (2016). Travelling waves in arrays of delay-coupled phase oscillators. Chaos. 26(9)
[Journal article]Authored by: Laing, C.
Laing, CR. (2016). Bumps in small-world networks. Frontiers in Computational Neuroscience. 10(JUN)
[Journal article]Authored by: Laing, C.
McCulloch, K., Roberts, MG., & Laing, CR. (2016). Exact analytical expressions for the final epidemic size of an sir model on small networks. ANZIAM Journal. 57(4), 429-444
[Journal article]Authored by: Laing, C., Roberts, M.
Thul, R., Coombes, S., & Laing, CR. (2016). Neural Field Models with Threshold Noise. Journal of Mathematical Neuroscience. 6(1)
[Journal article]Authored by: Laing, C.
Panaggio, MJ., Abrams, DM., Ashwin, P., & Laing, CR. (2016). Chimera states in networks of phase oscillators: The case of two small populations. Physical Review E. 93(1)
[Journal article]Authored by: Laing, C.
Laing, CR. (2015). Exact neural fields incorporating gap junctions. SIAM Journal on Applied Dynamical Systems. 14(4), 1899-1929
[Journal article]Authored by: Laing, C.
Laing, CR. (2015). Chimeras in networks with purely local coupling. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92(5)
[Journal article]Authored by: Laing, C.
Laing, CR., & Kevrekidis, IG. (2015). Equation-free analysis of spike-timing-dependent plasticity. Biological Cybernetics. 109(6), 701-714
[Journal article]Authored by: Laing, C.
Laing, CR. (2015). Exact neural fields incorporating gap junctions. SIAM J. Applied Dynamical Systems. 14(4), 1899-1929 Retrieved from http://epubs.siam.org/doi/abs/10.1137/15M1011287
[Journal article]Authored by: Laing, C.
Moon, SJ., Cook, KA., Rajendran, K., Kevrekidis, IG., Cisternas, J., & Laing, CR. (2015). Coarse-Grained Clustering Dynamics of Heterogeneously Coupled Neurons. Journal of Mathematical Neuroscience. 5(1), 1-20
[Journal article]Authored by: Laing, C.
Laing, CR. (2014). Numerical Bifurcation Theory for High-Dimensional Neural Models. Journal of Mathematical Neuroscience. 4(1)
[Journal article]Authored by: Laing, C.
Laing, CR. (2014). Derivation of a neural field model from a network of theta neurons. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90(1)
[Journal article]Authored by: Laing, C.
Laing, CR. (2014). Taking the Pulse. Physics. 7(10), 1-3
[Journal article]Authored by: Laing, C.
Omel'chenko, OE., Wolfrum, M., & Laing, CR. (2014). Partially coherent twisted states in arrays of coupled phase oscillators. CHAOS. 24(2),
[Journal article]Authored by: Laing, C.
Shiau, L., & Laing, CR. (2013). Periodically forced piecewise-linear adaptive exponential integrate-and-fire neuron. International Journal of Bifurcation and Chaos. 23(10)
[Journal article]Authored by: Laing, C.
Laing, CR. (2012). Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks. Chaos. 22(4)
[Journal article]Authored by: Laing, C.
Laing, CR., Zou, Y., Smith, B., & Kevrekidis, IG. (2012). Managing heterogeneity in the study of neural oscillator dynamics. Journal of Mathematical Neuroscience. 2(1), 1-21
[Journal article]Authored by: Laing, C.
Laing, CR., Rajendran, K., & Kevrekidis, IG. (2012). Chimeras in random non-complete networks of phase oscillators.. Chaos (Woodbury, N.Y.). 22(1), 013132
[Journal article]Authored by: Laing, C.
Coombes, S., Schmidt, H., Laing, CR., Svanstedt, N., & Wyller, JA. (2012). Waves in random neural media. Discrete and Continuous Dynamical Systems. 32(8), 2951-2970
[Journal article]Authored by: Laing, C.
Laing, CR. (2011). Fronts and bumps in spatially extended Kuramoto networks. Physica D: Nonlinear Phenomena. 240(24), 1960-1971
[Journal article]Authored by: Laing, C.
Coombes, S., & Laing, CR. (2011). Pulsating fronts in periodically modulated neural field models. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 83(1)
[Journal article]Authored by: Laing, C.
Elvin, AJ., Laing, CR., McLachlan, RI., & Roberts, MG. (2010). Exploiting the Hamiltonian structure of a neural field model. Physica D: Nonlinear Phenomena. 239(9), 537-546
[Journal article]Authored by: Laing, C., McLachlan, R., Roberts, M.
Wasylenko, TM., Cisternas, JE., Laing, CR., & Kevrekidis, IG. (2010). Bifurcations of lurching waves in a thalamic neuronal network. Biological Cybernetics. 103(6), 447-462
[Journal article]Authored by: Laing, C.
Laing, CR. (2010). Chimeras in networks of planar oscillators. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81(6)
[Journal article]Authored by: Laing, C.
Laing, CR., Frewen, T., & Kevrekidis, IG. (2010). Reduced models for binocular rivalry. Journal of Computational Neuroscience. 28(3), 459-476
[Journal article]Authored by: Laing, C.
Martens, EA., Laing, CR., & Strogatz, SH. (2010). Solvable model of spiral wave chimeras. Physical Review Letters. 104(4)
[Journal article]Authored by: Laing, C.
Elvin, AJ., Laing, CR., & Roberts, MG. (2009). Transient Turing patterns in a neural field model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 79(1)
[Journal article]Authored by: Laing, C., Roberts, M.
Laing, CR. (2009). The dynamics of chimera states in heterogeneous Kuramoto networks. Physica D: Nonlinear Phenomena. 238(16), 1569-1588
[Journal article]Authored by: Laing, C.
Coombes, S., & Laing, CR. (2009). Delays in activity based neural networks. Philosophical Transactions of The Royal Society A. 367, 1117-1129
[Journal article]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Chaos. 19(1)
[Journal article]Authored by: Laing, C.
Coombes, S., & Laing, CR. (2009). Instabilities in threshold-diffusion equations with delay. Physica D: Nonlinear Phenomena. 238(3), 264-272
[Journal article]Authored by: Laing, C.
Laing, CR., & Kevrekidis, IG. (2008). Periodically-forced finite networks of heterogeneous globally-coupled oscillators: A low-dimensional approach. Physica D: Nonlinear Phenomena. 237(2), 207-215
[Journal article]Authored by: Laing, C.
Owen, MR., Laing, CR., & Coombes, S. (2007). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. New Journal of Physics. 9
[Journal article]Authored by: Laing, C.
Coombes, S., Venkov, NA., Shiau, L., Bojak, I., Liley, DTJ., & Laing, CR. (2007). Modeling electrocortical activity through improved local approximations of integral neural field equations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 76(5)
[Journal article]Authored by: Laing, C.
Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007). Coarse-grained dynamics of an activity bump in a neural field model. NONLINEARITY. 20(9), 2127-2146
[Journal article]Authored by: Laing, C.
Laing, CR. (2006). On the application of "equation-free modelling" to neural systems. Journal of Computational Neuroscience. 20(1), 5-23
[Journal article]Authored by: Laing, C.
Laing, CR., & Coombes, S. (2006). The importance of different timings of excitatory and inhibitory pathways in neural field models. Network: Computation in Neural Systems. 17(2), 151-172
[Journal article]Authored by: Laing, C.
Laing, CR., & Coombes, S. (2005). Mode locking in a periodically forced "ghostbursting" neuron model. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15(4), 1433-1444
[Journal article]Authored by: Laing, C.
Laing, CR. (2005). Spiral waves in nonlocal equations. SIAM Journal on Applied Dynamical Systems. 4(3), 588-606
[Journal article]Authored by: Laing, C.
Laing, CR. (2005). [untitled]. Newsletter of the New Zealand Mathematical Society. 93
[Journal article]Authored by: Laing, C.
Elvin, A., & Laing, CR. (2005). Evaluation of numerical integration schemes for a partial integro-differential equation. Research Letters on Information, Mathematics, and science. 7, 171-186
[Journal article]Authored by: Laing, C.
Laing, CR. (2004). Large ghostbursting in sensory cells of electric fish. Nonlinear Studies. 11(3), 469-480
[Journal article]Authored by: Laing, C.
Huang, X., Troy, WC., Yang, Q., Ma, H., Laing, CR., Schiff, SJ., . . . Wu, JY. (2004). Spiral waves in disinhibited mammalian neocortex. Journal of Neuroscience. 24(44), 9897-9902
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron.. Phys Rev E Stat Nonlin Soft Matter Phys. 67(5 Pt 1), 051928
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 67(5 1)
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003). Periodic forcing of a model sensory neuron. PHYSICAL REVIEW E. 67(5),
[Journal article]Authored by: Laing, C.
Noonan, L., Doiron, B., Laing, CR., Longtin, A., & Turner, R. (2003). A dynamic dendritic refractory period regulates burst discharge in the electrosensory lobe of weakly electric fish. Journal of Neuroscience. 23(4), 1524-1534
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003). Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Neural Computation. 15, 2779-2822
[Journal article]Authored by: Laing, C.
Laing, CR., & Troy, WC. (2003). Two-bump solutions of Amari-type models of neuronal pattern formation. Physica D: Nonlinear Phenomena. 178(3-4), 190-218
[Journal article]Authored by: Laing, C.
Laing, CR., Doiron, B., Longtin, A., Noonan, L., Turner, R., & Maler, L. (2003). Type I burst excitability. Journal of Computational Neuroscience. 14(3), 329-342
[Journal article]Authored by: Laing, C.
Laing, CR., & Troy, WC. (2003). PDE methods for nonlocal models. SIAM Journal on Applied Dynamical Systems. 2(3), 487-516
[Journal article]Authored by: Laing, C.
Laing, CR., Doiron, B., Longtin, A., & Maler, L. (2002). Ghostbursting: the effects of dendrites on spike patterns. Neurocomputing. , 127-132
[Journal article]Authored by: Laing, C.
Laing, CR., & Chow, CC. (2002). A spiking neuron model for binocular rivalry. Journal of Computational Neuroscience. 12(1), 39-53
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2002). A two-variable model of somatic-dendritic interactions in a bursting neuron. Bulletin of Mathematical Biology. 64, 829-860
[Journal article]Authored by: Laing, C.
Laing, CR., Troy, W., Gutkin, B., & Ermentrout, B. (2002). Multiple bumps in a neuronal model of working memory. SIAM Journal on Applied Mathematics. 63(1), 62-97
[Journal article]Authored by: Laing, C.
Doiron, B., Laing, CR., Longtin, A., & Maler, L. (2002). Ghostbursting: a novel neuronal burst mechanism. Journal of Computational Neuroscience. 12(1), 5-25
[Journal article]Authored by: Laing, C.
Gutkin, B., Laing, CR., Colby, CL., Chow, CC., & Ermentrout, GB. (2001). Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of Computational Neuroscience. 11(2), 121-134
[Journal article]Authored by: Laing, C.
Laing, CR., & Chow, CC. (2001). Stationary bumps in networks of spiking neurons. Neural Computation. 13(7), 1473-1494
[Journal article]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2001). Noise-induced stabilization of bumps in systems with long-range spatial coupling. Physica D. 160, 149-172
[Journal article]Authored by: Laing, C.
Aston, P., & Laing, CR. (2000). Symmetry and chaos in the complex Ginzburg--Landau equation: II Translational Symmetries. Physica D.. (135), 79-97
[Journal article]Authored by: Laing, C.

Book

Laing, CR. (2015). Waves in Spatially-Disordered Neural Fields: A Case Study in Uncertainty Quantification. In L. Geris, & D. Gomez-Cabrero (Eds.) Uncertainty in Biology: A Computational Modeling Approach. (pp. 367 - 392). : Springer
[Chapter]Authored by: Laing, C.
Laing, CR. (2014). PDE Methods for Two-Dimensional Neural Fields. In S. Coombes, P. beim Graben, R. Potthast, & J. Wright (Eds.) Neural Fields: Theory and Applications. : Springer
[Chapter]Authored by: Laing, C.
Laing, CR., & Lord, GJ. (Eds.) (2009). Stochastic methods in neuroscience. Oxford, UK: Oxford University Press
[Edited Book]Edited by: Laing, C.
Laing, CR., & Doiron, B. (2005). Ghostbursting: The role of active dendrites in electrosensory processing. In Bursting: The Genesis of Rhythm in the Nervous System. (pp. 145 - 172).
[Chapter]Authored by: Laing, C.
Longtin, A., Laing, CR., & Chacron, J. (2003). Correlations and memory in neurodynamical systems. In G. Rangarajan, & MD. Eds (Eds.) Processes with long-range correlations: Theory and applications. (pp. 286 - 308). New York, NY: Springer
[Chapter]Authored by: Laing, C.

Conference

Laing, CR. (2017, May). Bumps in small-world networks. Presented at International Conference on Mathematical Neuroscience. Boulder, Colorado.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, May). Bumps in Small-World Networks. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., & kevrekidis, I. (2017, February). Equation-free analysis of spike timing dependent plasticity. Presented at 7th Workshop on High-Dimensional Approximation. Sydney, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, February). Chimeras in networks with purely local coupling. Presented at ANZIAM 2017. Hahndorf, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, December). Chimeras in networks with purely local coupling. Presented at NZMS Colloquium. Wellington.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, November). Neural field models which include gap junctions. Presented at NeuroEng 2016. Brisbane, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, February). Equation-free analysis of spike timing dependent plasticity. Presented at ANZIAM 2016. Canberra, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). A new neural field model which includes gap junction. Presented at Dynamics of Coupled Oscillators: 40 years of the Kuramoto Model. Dresden, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural Field Models Which Include Gap Junctions. Presented at Equadiff 2015. Lyon, France.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, May). Neural Field Models Which Include Gap Junctions. Presented at SIAM CONFERENCE ON APPLICATIONS OF DYNAMICAL SYSTEMS. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, February). Exact derivation of a neural field model from a network of theta neurons. Presented at ANZIAM 2015. Surfers Paradise, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, November). Fronts and bumps in spatially extended Kuramoto networks. Presented at AUT Mathematical Sciences Symposium. Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, September). "Chimeras and bumps" - minisymposium presentation. Presented at 34th Dynamics Days Europe. Bayreuth, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, September). Twisted states in phase oscillator arrays. Presented at Rhythms in complex networks: from theory to experiment. Niels Bohr Institute, Copenhagen, Denmark.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Waves in spatially-disordered neural fields. Presented at International Workshop on Neurodynamics. Castro-Urdiales, Spain.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, February). Twisted states in phase oscillator arrays. Presented at ANZIAM. Rotorua, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, December). Twisted states in phase oscillator arrays. Presented at NZ Math Society Colloquium
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, June). A Reduced Model for Binocular Rivalry. Presented at Progress of Mathematical Studies in Neuroscience. National Tsing-Hua University, Hsinchu, Taiwan.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, June). PDE Methods for Two-Dimensional Neural Fields. Presented at Progress of Mathematical Studies in Neuroscience. National Tsing-Hua University, Hsinchu, Taiwan.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, May). Waves in Random Neural Media. Presented at SIAM conference on applications of dynamical systems. Snowbird, Utah.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2013, February). Managing heterogeneity in the study of neural oscillator dynamics. Presented at ANZIAM 2013. Newcastle, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, December). PDE methods for two-dimensional neural fields. Presented at BrainModes 2012: Large-scale models of the brain. Queensland Institute of Medical Research, Brisbane.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., Zou, Y., Smith, B., & Kevrekidis, IG.Managing heterogeneity in the study of neural oscillator dynamics.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, September). Chimeras in random non-complete networks of phase oscillators. Presented at Dynamics Days Europe. Gothenburg, Sweden.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, August). Bifurcations of Smooth and Lurching Waves in a One-dimensional Thalamic Neuronal Network. Presented at SIAM Conference on the Life Sciences. San Diego, California.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, January). Fronts in a Spatially-extended Network of Conformist and Contrarian Oscillators. Presented at ANZIAM 2012. Warrnambool, Victoria, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, October). PDE methods for two-dimensional neural fields. Presented at Workshop on Spatio-temporal evolution equations and neural fields. CIRM, Marseille.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2011, May). A reduced model for binocular rivalry. Presented at Society for Industrial and Applied Mathematics Conference on Applications of Dynamical Systems. Utah, USA.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, C. (2011, January). Pulsating fronts in periodically modulated neural field models. Presented at The 2011 Annual Australian and New Zealand Industrial and Applied Mathematics Conference. Adelaide, SA, Australia.
[Conference Oral Presentation]Authored by: Laing, C.
Al Manji, A., Chang, J., & Laing, C. (2010). Identification of surface electromyography signals with continuous wavelet entropy transform. The 8th France-Japan and 6th Europe-Asia Congress on Mechatronics. Vol. none (pp. 306 - 310).
[Conference Paper in Published Proceedings]Authored by: Laing, C.
Laing, C. (2010, December). Bifurcations of lurching waves in a thalamic neuronal network. Presented at New Zealand Mathematical Society Colloquium. University of Otago, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR.PDE methods for two-dimensional neural fields.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010). A reduced model of a heterogeneous population of bursting neurons. Poster session presented at the meeting of Oxford Centre for Collaborative Applied Mathematics (OCCAM) Workshop: Future Challenges in Mathematical and Computational Neuroscience. St Anne's College, University of Oxford, Oxford, UK
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2010). A reduced model of a heterogeneous population of bursting neurons. Poster session presented at the meeting of Society for Industrial and Applied Mathematics Conference on the Life Sciences. Pittsburgh, PA, United States
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2010, July). Chimera states in heterogeneous Kuramoto networks. Presented at International Workshop of Nonlinear Dynamics on Networks. Kyiv, Ukraine.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010, May). Bumps and chimeras. Presented at The 8th American Institute of Mathematical Sciences Conference on Dynamical Systems, Differential Equations and Applications. Dresden University of Technology, Dresden, Germany.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010, January). Spiral wave chimeras. Presented at The Australian and New Zealand Industrial and Applied Mathematics Conference (ANZIAM 2010). Queenstown, New Zealand.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, June). Dimension reduction in neural models: An example - binocular rivalry. Presented at Mini Symposium on Mathematical Neuroscience. The University of Warwick, UK.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, September). Dimension reduction in neural models: An example- binocular rivalry. Presented at Conference on Dynamics in Systems Biology. Aberdeen, Scotland.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, March). Dimension reduction in neural models an example - binocular rivalry. Presented at Noise in Life Meeting. Cambridge, UK.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009, March). Dimension reduction in neural models: an example - binocular rivalry. Presented at 2nd Annual Meeting of the UK Mathematical Neuroscience Network. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008, July). Finite networks of heterogeneous coupled oscillators: a low dimensional approach. Presented at MMBNOTT/MRM Summer Workshop in Mathematical Medicine and Biology. The University of Nottingham, UK.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). A low-dimensional description of a heterogeneous network of coupled oscillators. Poster session presented at the meeting of Workshop on Multi-scale Modelling of the Respiratory System. Auckland, NZ
[Conference Poster]Authored by: Laing, C.
Laing, CR. (2008, February). A low-dimensional description of a heterogeneous network of coupled oscillators. Presented at Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) 2008 Annual Conference. Katoomba, NSW.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007). Coarse-graining: A neural example. In Proceedings of the Mathematical and Computational Nanoscience 2007: MacDiarmid Institute
[Conference Abstract]Authored by: Laing, C.
Laing, CR., Frewen, TA., & Kevrekidis, IG. (2007, December). Coarse-graining: A neural example. Presented at Mathematical and Computational Nanoscience 2007. Victoria University of Wellington, Wellington, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. In 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society(pp. 20 - 21). : Victoria University of Wellington
[Conference Abstract]Authored by: Laing, C.
Laing, CR. (2007, December). Bumps and rings in a two-dimensional neural field: Splitting and rotational instabilities. Presented at 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society. Victoria University of Wellington, Wellington, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
Kevrekidis, Y., Bold, K., Moon, S., & Laing, CR. (2007, May). Uncertainty quantification methods in modeling heterogenous interacting populations. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007, May). Dimension reduction for complex neural models. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007, January). Coarse-grained dynamics of an activity bump in a neural field model. Presented at Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) 43rd Applied Mathematics Conference. Fremantle, WA.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, December). Periodically-forced finite networks of heterogeneous coupled oscillators. Presented at New Zealand Mathematics Colloquium. University of Waikato, Hamilton, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, October). Periodically-forced finite networks of heterogeneous coupled oscillators: A low-dimensional approach. Presented at 9th Manawatu-Wellington Applied Mathematics Conference. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, March). Spiral waves in neural field equations. Presented at Workshops on Mathematical Neuroscience. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, May). Some neural examples of 'equation-free' modelling. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, December). Equation-free modelling-some neural examples. Presented at NZ Mathematics Colloquium. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2003, May). Meeting on Symmetry and Bifurcation in Biology. Presented at Meeting on Symmetry and Bifurcation in Biology. Banff International Research Station, Banff, AB.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR., & Longtin, A. (2003, May). Dynamics of delayed, paired excitatory-inhibitory neural feedback. Presented at SIAM Conference on Applications of Dynamical Systems. Snowbird, UT.
[Conference Oral Presentation]Authored by: Laing, C.
Laing, CR. (2003, July). Pattern formation in neuronal systems. Presented at 5th International Congress on Industrial and Applied Mathematics. Sydney, NSW.
[Conference Oral Presentation]Authored by: Laing, C.

Other

Laing, CR. (2017, August). Equation-free analysis of spike timing dependent plasticity. Presented at Max Planck Institute for the Physics of Complex Systems, Germany.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2017, February). Neural Field Models Which Include Gap Junctions. In School of Physics, University of Sydney.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2016, April). Equation-free analysis of spike timing dependent plasticity.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, November). "Fronts and bumps in spatially extended Kuramoto networks" Seminar at Technical University of Munich, Germany.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural field models which include gap junctions. Seminar at University of Nottingham..
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2015, July). Neural field models which include gap junctions. Seminar at Exeter University..
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, August). Exact description of an infinite network of neurons (Seminar at Massey University).
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Fronts and bumps in spatially extended Kuramoto networks (Seminar at Nottingham University).
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, July). Twisted states in phase oscillator arrays (Seminar at Leeds University).
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2014, February). Fronts and bumps in spatially extended Kuramoto networks (Seminar at Northwestern University).
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, August). Chimeras in random non-complete networks of phase oscillators.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2012, June). The Logistic Map.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, December). Chimera States in Heterogeneous Kuramoto Networks, University of Maryland.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, November). Fronts and bumps in spatially extended Kuramoto networks, WIAS, Berlin.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, October). Chimera states in heterogeneous Kuramoto networks, NJIT.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, November). Chimera States in Heterogeneous Kuramoto Networks, Drexel University.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2011, December). Chimera States in Heterogeneous Kuramoto Networks, Princeton University.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2011). Chimera states in heterogeneous Kuramoto networks. Presented at University of Auckland, Auckland, NZew Zealand.
[Oral Presentation]Authored by: Laing, C.
Laing, C. (2011). Freezing noisy brain waves. Presented at Massey University, Auckland, New Zealnd.
[Oral Presentation]Authored by: Laing, C.
Almanji, A., Chang, J., & Laing, C. (2010, November). Identification of surface electromyography signals with continuous wavelet entropy transform. In Mechatronics Congress 2010. Presented at Keio University, Yokohama-city, Kanagawa, Japan.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2010). Chimera states in heterogeneous Kuramoto networks. Presented at University of Manchester, Manchester, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at Manchester Institute for Mathematical Sciences (MIMS), Manchester, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous kuramoto networks. Presented at University of Leeds, Leeds, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at University of Surrey, Surrey, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: An example - binocular rivalry. Presented at Universitat Pompeu Fabra, Barcelona, Spain.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Taming chimeras: the dynamics of coupled phase oscillator networks. Presented at Massey University, Auckland.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Dimension reduction in neural models: an example binocular rivalry. Presented at The University of Warwick, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Presented at The University of Nottingham, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2009). Chimera states in heterogeneous networks. Presented at Heriot-Watt University, Edinburgh, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008, December). A solvable model for chimera states in heterogeneous networks. In 7th Joint Australia-New Zealand Mathematics Convention.. Presented at Christchurch, New Zealand.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Dimension reduction in neural models. Presented at Heriot-Watt University, Yk.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Finite networks of heterogenous coupled oscillators: a low-dimensional approach. Presented at University of Leeds, UK.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2008). Dimension reduction in complex models. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2007). Dimension reduction in complex models. Presented at University of Canterbury, Christchurch, NZ.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2006, November). Modelling bursting in an electric fish neuron. In Opening meeting of the Centre for Mathematical Biology. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Laing, C.
Laing, CR. (2005, September). Science and the mathematics of electric fish. : Massey University.
[Oral Presentation]Authored by: Laing, C.

Supervision and Teaching

Summary of Doctoral Supervision

Position Current Completed
Supervisor 1 1
CoSupervisor 0 3

Current Doctoral Supervision

Supervisor of:

  • Sidra Zafar - PhD
    Equation-free investigations of heterogeneous networks.

Completed Doctoral Supervision

Supervisor of:

CoSupervisor of:

Media and Links

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