Personal Chair
- About
-
- Email Address
- m.thiel@abdn.ac.uk
- Telephone Number
- +44 (0)1224 273160
- Office Address
Institute for Complex Systems and Mathematical Biology
Institute for Pure and Applied Mathematics
Department of Physics
Old Aberdeen Meston Building Room MT 340
- School/Department
- School of Natural and Computing Sciences
Biography
2004 PhD in Nonlinear Dynamics (Mathematical Physics/Applied Mathematics)
2004-2006 Post-Doc, University of Potsdam (Germany)
2006-2010 RCUK Academic Research Fellow (UoA)
2010-2011 Lecturer
2011-2013 Senior Lecturer
2013-2016 Reader
2016- Professor
Internal Memberships
Deputy Director of the Institute for Complex Systems and Mathematical Biology
- Research
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Research Overview
Applied Mathematics; Mathematical Modelling; Data Analysis; Dynamical Systems Theory; Recurrences; Mathematics of Distance Inequalities; Network Theory; Computational Mathematics
Current Research
Mathematical Modelling; Data Analysis; Data Based Modelling; Mathematics of Distance Inequalities;
Collaborations
Bjoern Schelter; Celso Grebogi; Geoffrey Robinson; Maria Carmen Romano; Klaus Lehnertz
Funding and Grants
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''Combinatorial Responses of Fungal Pathogens to Their Human Hosts: an Integrative Systems Biology Approach,'' A. Brown, G. Coghill, N. Gow, K. Haynes, A. Moura, M. Romano, J. Stark, and M. Thiel, SABR/BBSRC, 2007-2012, £5,750,000 (fec)
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''Ribosomal Traffic Flow on the mRNA as a Regulator of Cellular Protein Production: an Integrated Modelling and Experimental Analysis,'' M. Romano, M. Thiel, I. Stansfield and C. Grebogi, BBSRC, 2009-2011, £679,344 (fec)
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- Teaching
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Teaching Responsibilities
PX 4514 Modelling Theory
PX 5001 Project in Modelling Complex Systems
PX 5501 Nonlinear Dynamics I & IITBC Data Science: from data to insight
- Publications
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Page 1 of 1 Results 1 to 78 of 78
Osculatory Dynamics: Framework for the Analysis of Oscillatory Systems
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2407.00235
Comparison of recoil polarization in the C12(e→,e ′p→) process for protons extracted from s and p shells
Physics Letters B, vol. 811, 135903Contributions to Journals: ArticlesImproving network inference: The impact of false positive and false negative conclusions about the presence or absence of links
Journal of Neuroscience Methods, vol. 307, pp. 31-36Contributions to Journals: ArticlesThe effect of latent confounding processes on the estimation of the strength of causal influences in chain-type networks
Medical Research Archives , vol. 5, no. 9, 1298Contributions to Journals: ArticlesTime-variant estimation of connectivity and Kalman's filter
Methods in Brain Connectivity Inference through Multivariate Time Series Analysis. Sameshima, K., Baccala, L. A. (eds.). CRC Press, pp. 161-177, 17 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] View publication in Scopus
Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space
Chaos, vol. 26, no. 2, 023120Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.4942584
Community control in cellular protein production: consequences for amino acid starvation
Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 373, no. 2056, 20150107Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1098/rsta.2015.0107
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7868/1/postprint.pdf
Integrative Model of Oxidative Stress Adaptation in the Fungal Pathogen Candida albicans
PloS ONE, vol. 10, no. 9, 0137750Contributions to Journals: ArticlesNetworks: On the relation of bi- and multivariate measures
Scientific Reports, vol. 5, 10805Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1038/srep10805
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4633/1/srep10805.pdf
Contribution of Fdh3 and Glr1 to Glutathione Redox State, Stress Adaptation and Virulence in Candida albicans
PloS ONE, vol. 10, no. 6, e0126940Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1371/journal.pone.0126940
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4604/1/PlosOne_0126940.pdf
Network inference in the presence of latent confounders: The role of instantaneous causalities
Journal of Neuroscience Methods, vol. 245, pp. 91-106Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jneumeth.2015.02.015
Assessing the strength of directed influences among neural signals: An approach to noisy data
Journal of Neuroscience Methods, vol. 239, pp. 47-64Contributions to Journals: ArticlesIdentifying coupling directions by recurrences
Recurrence Quantification Analysis: Theory and Best Practices - Part I. Webber Jr, C. L., Marwan, N. (eds.). Springer Verlag, pp. 65-99, 35 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1007/978-3-319-07155-8_3
- [ONLINE] View publication in Scopus
Optimized spectral estimation for nonlinear synchronizing systems
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 89, no. 3, 032912Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.89.032912
- [ONLINE] View publication in Scopus
Overarching framework for data-based modelling
Europhysics Letters, vol. 105, no. 3, 30004Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1209/0295-5075/105/30004
- [ONLINE] View publication in Scopus
Time-Variant Estimation of Connectivity and Kalman Filter
Methods in Brain Connectivity Inference through Multivariate Time Series Analysis. Baccalá, L. A. (ed.). CRC Press, pp. 161–177, 17 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1201/b16550-12
Signal Processing of the EEG: Approaches Tailored to Epilepsy
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1142/9789814525350_0009
The impact of latent confounders in directed network analysis in neuroscience
Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 371, no. 1997, 20110612Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1098/rsta.2011.0612
From START to FINISH: the influence of osmotic stress on the cell cycle
PloS ONE, vol. 8, no. 7, e68067Contributions to Journals: ArticlesCombinatorial stresses kill pathogenic Candida species
Medical Mycology, vol. 50, no. 7, pp. 699-709Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.3109/13693786.2012.672770
A max-plus model of ribosome dynamics during mRNA translation
Journal of Theoretical Biology, vol. 303, no. -, pp. 128-140Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/1105.3580v1
- [ONLINE] DOI: https://doi.org/10.1016/j.jtbi.2012.03.007
Impact of combinatorial stresses upon Candida albicans
Mycoses, vol. 55, no. Suppl. 4, pp. 15Contributions to Journals: Abstracts- [ONLINE] DOI: https://doi.org/10.1111/j.1439-0507.2012.02204.x
- [ONLINE] View publication in Scopus
A systems biology analysis of long and short-term memories of osmotic stress adaptation in fungi
BMC Research Notes, vol. 5, 258Contributions to Journals: ArticlesInference of Granger causal time-dependent influences in noisy multivariate time series
Journal of Neuroscience Methods, vol. 203, no. 1, pp. 173-185Contributions to Journals: ArticlesThe dynamics of supply and demand in mRNA translation
PLoS Computational Biology , vol. 7, no. 10, e1002203Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1371/journal.pcbi.1002203
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/3678/1/The_dynamics.pdf
Theoretical basis of the community effect in development
BMC Systems Biology, vol. 5, no. 54Contributions to Journals: ArticlesInferring direct coupling by means of recurrences
International Journal of Bifurcation and Chaos, vol. 21, no. 4, pp. 1099-1111Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127411029033
Collective response of self-organized clusters of mechanosensitive channels
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 83, no. 2, 020901(R)Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.83.020901
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2259/1/PhysRevE.83.020901.pdf
Multivariate Analysis of Dynamical Processes with Applications to the Neurosciences
Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsMultivariate Analysis of Dynamical Processes with applications in the Neurosciences
Contributions to Conferences: PapersAbundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity
Chaos, vol. 20, no. 4, 045117Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.3527032
Introduction to Focus Issue: Dynamics in Systems Biology
Chaos, vol. 20, no. 4, 045101Contributions to Journals: ArticlesSlow sites in an exclusion process with limited resources
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 5 Pt 1, 051920Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.82.051920
Limited resources in a driven diffusion process
Physical Review Letters, vol. 105, no. 7, 078102Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.105.078102
Nonlinear Dynamics and Chaos: Advances and Perspectives
Springer Verlag, Dordrecht, Netherlands. 293 pagesBooks and Reports: Books- [ONLINE] DOI: https://doi.org/10.1007/978-3-642-04629-2
Fetal maternal heart rate entrainment under controlled maternal breathing
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1007/978-3-642-12197-5_60
- [ONLINE] View publication in Scopus
An automated algorithm for the generation of dynamically reconstructed trajectories
Chaos, vol. 20, no. 1, 013107Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.3279680
Distinguishing Direct from Indirect Interactions in Oscillatory Networks with Multiple Time Scales
Physical Review Letters, vol. 104, no. 3, 038701Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.104.038701
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2449/1/Nawrath_PRL10.pdf
Influence of paced maternal breathing on fetal–maternal heart rate coordination
PNAS, vol. 106, no. 33, pp. 13661-13666Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1073/pnas.0901049106
Recurrences determine the dynamics
Chaos, vol. 19, no. 2, 023104Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.3117151
Queueing phase transition: Theory of Translation
Physical Review Letters, vol. 102, no. 19, 198104Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.102.198104
Hypothesis test for synchronization: Twin surrogates revisited
Chaos, vol. 19, no. 1, 015108Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.3072784
Analysis of high-resolution microelectrode EEG recordings in an animal model of spontaneous limbic seizures
International Journal of Bifurcation and Chaos, vol. 19, no. 2, pp. 605–617Contributions to Journals: ArticlesDynamically Reconstructed Trajectories
Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsReconstruction of a system's dynamics from short trajectories
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 6, 066217Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.78.066217
Chaos and nonlinear dynamics: Advances and perspectives
The European Physical Journal. Special Topics, vol. 165, no. 1, pp. 1-4Contributions to Journals: Editorials- [ONLINE] DOI: https://doi.org/10.1140/epjst/e2008-00843-3
20 Year of Recurrence Plots: Perspectives for a Multi-purpose Tool of Nonlinear Data Analysis
The European Physical Journal. Special Topics, vol. 164, no. 1, pp. 1-2Contributions to Journals: Editorials- [ONLINE] DOI: https://doi.org/10.1140/epjst/e2008-00828-2
Recurrence analysis of quasiperiodicity in experimental fluid data
The European Physical Journal. Special Topics, vol. 164, no. 1, pp. 23-33Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1140/epjst/e2008-00831-7
Network mutual information and synchronization under time transformations
New Journal of Physics, vol. 10, pp. -Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1088/1367-2630/10/8/083003
Continuous wavelet transform in the analysis of burst synchronization in a coupled laser system
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 1, 016211Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.78.016211
Recurrences of strange attractors
Pramana, vol. 70, no. 6, pp. 1039-1045Contributions to Journals: ArticlesGenerating surrogates from recurrences
Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 366, no. 1865, pp. 545-557Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1098/rsta.2007.2109
Analysis of Bivariate Coupling by Means of Recurrence
Mathematical Methods in Signal Processing and Digital Image Analysis. Dahlhaus, R., Kurths, J., Maass, P., Timmer, J. (eds.). Springer Science+Business Media, pp. 153-182, 30 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1007/978-3-540-75632-3_5
Synchronization Analysis of Neuronal Networks by Means of Recurrence Plots
Lectures in Supercomputational Neurosciences: Dynamics in Complex Brain Networks. beim Graben, P., Zhou, C., Thiel, M., Kurths, J. (eds.). Springer Science+Business Media, pp. 177-191, 15 pagesChapters in Books, Reports and Conference Proceedings: Chapters- [ONLINE] DOI: https://doi.org/10.1007/978-3-540-73159-7_6
Scale-resolved phase coherence analysis of hemispheric sunspot activity: a new look at the north-south asymmetry
Astronomy & Astrophysics, vol. 475, no. 3, pp. L33-L36Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1051/0004-6361:20078672
Analytical description of recurrence plots of dynamical systems with nontrivial recurrences
International Journal of Bifurcation and Chaos, vol. 17, no. 12, pp. 4273-4283Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127407019949
Hierarchical organization of a reference system in newborn spontaneous movements
Infant Behavior and Development, vol. 30, no. 4, pp. 568-586Contributions to Journals: Literature Reviews- [ONLINE] DOI: https://doi.org/10.1016/j.infbeh.2007.04.004
Characterization of stickiness by means of recurrence
Chaos, vol. 17, no. 4, 043101Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.2785159
Estimation of the direction of the coupling by conditional probabilities of recurrence
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 76, no. 3, 036211Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.76.036211
Distinguishing between quasiperiodic dynamics and chaos from short-time series
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 76, 016210Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.76.016210
Recurrence analysis of strange nonchaotic dynamics
Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 75, no. 3, 036222Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.75.036222
Recurrence Plots for the Analysis of Complex Systems
Physics Reports, vol. 438, no. 5-6, pp. 237-329Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/J.PHYSREP.2006.11.001
Synchronization Analysis and Recurrences in Complex Systems
Handbook of Time Series Analysis: Recent Theoretical Developments and Applications. Schelter, B., Winterhalder, M., Timmer, J. (eds.). Wiley-VCH, pp. 231-264Chapters in Books, Reports and Conference Proceedings: ChaptersRecurrence plot analyses suggests a novel reference system in newborn spontaneous movements
Behavior Research Methods, vol. 38, no. 3, pp. 400-406Contributions to Journals: ArticlesTwin surrogates to test for complex synchronisation
Europhysics Letters, vol. 75, no. 4, pp. 535-541Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1209/EPL/I2006-10147-0
Shrimp Structure and Associated Dynamics in Parametrically Excited Oscillators
International Journal of Bifurcation and Chaos, vol. 16, no. 12, pp. 3567-3579Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127406016987
Spurious Structures in Recurrence Plots Induced by Embedding
Nonlinear Dynamics, vol. 44, no. 1-4, pp. 299-305Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s11071-006-2010-9
Detection of Synchronization for Non-Phase Coherent and Non-stationary Data
Europhysics Letters, vol. 71, no. 3, pp. 466-472Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1209/epl/i2005-10095-1
Long-term predictability of mean daily temperature data
Nonlinear Processes in Geophysics, vol. 12, no. 4, pp. 471-479Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.5194/npg-12-471-2005
Generalized synchronization indices based on recurrences in phase space
Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsHow much information is contained in a Recurrence Plot?
Physics Letters A, vol. 330, no. 5, pp. 343-349Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/J.PHYSLETA.2004.07.050
Multivariate Recurrence Plots
Physics Letters A, vol. 330, no. 3-4, pp. 214-223Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.physleta.2004.07.066
Estimation of dynamical invariants without embedding by recurrence plots
Chaos, vol. 14, no. 2, pp. 234-243Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.1667633
Surrogate-based hypothesis test without surrogates
International Journal of Bifurcation and Chaos, vol. 14, no. 6, pp. 2107-2114Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127404010527
Analytical Description of Recurrence Plots of White Noise and Chaotic Processes
Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsInfluence of observational noise on the recurrence quantification analysis
Physica. D, Nonlinear Phenomena, vol. 171, pp. 138Contributions to Journals: ArticlesConceptual Model for Runoff from a Forested Catchment
International Journal of Bifurcation and Chaos, vol. 11, pp. 2567Contributions to Journals: ArticlesConceptual Modeling of the Runoff in a Catchment using Memory
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings