Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Biomathematics



m.barahona Website




6M31Huxley BuildingSouth Kensington Campus





Mauricio Barahona obtained a PhD in Theoretical Physics (Dynamical Systems) from the Massachusetts Institute of Technology (MIT) under the supervision of Steve Strogatz in the Department of Mathematics.  His thesis co-advisors were Mehran Kardar (Physics) and Terry Orlando (EECS). His thesis dealt with the spatio-temporal dynamics of networks of Josephson junctions - superconducting electronic devices that can be described as coupled nonlinear oscillators. Concurrently with his PhD work, he developed methods for nonlinear data analysis based on dynamical embeddings and time series analysis.

He then obtained Fellowships to conduct postdoctoral research, first at Stanford University and then at the California Institute of Technology. At Stanford, he worked with Mac Beasley on properties of oscillator synchronization with applications to pattern detection. At Caltech, he worked with John Doyle in the Department of Control and Dynamical Systems on rigorous bounds of model reduction techniques for dynamical systems. He also developed his research on the links between dynamics and graph-theoretical properties aimed at the analysis of network dynamics.

He joined the newly formed Department of Bioengineering at Imperial as a Lecturer in 2001 and became a Reader in Biomathematics in 2004. In 2011, he moved to the Department of Mathematics as Chair of Biomathematics. Since 2016, he is Director of the EPSRC Centre for Mathematics of Precision Healthcare.

Selected Publications

Journal Articles

Myall AC, Peach RL, Weiße AY, et al., 2021, Network memory in the movement of hospital patients carrying drug-resistant bacteria, Applied Network Science, ISSN:2364-8228

Saavedra-Garcia P, Roman-Trufero M, Al-Sadah HA, et al., 2021, Systems level profiling of chemotherapy-induced stress resolution in cancer cells reveals druggable trade-offs, Proceedings of the National Academy of Sciences of the United States of America, ISSN:0027-8424

Qian Y, Expert P, Panzarasa P, et al., 2021, Geometric graphs from data to aid classification tasks with Graph Convolutional Networks, Patterns, ISSN:2666-3899

Peach R, Arnaudon A, Schmidt J, et al., 2021, HCGA: Highly Comparative Graph Analysis for network phenotyping, Patterns

Liu Z, Barahona M, 2021, Similarity Measure for Sparse Time Course Data Based on Gaussian Processes

Kuntz Nussio J, Thomas P, Stan G, et al., 2021, Approximations of countably-infinite linear programs over bounded measure spaces, SIAM Journal on Optimization, Vol:31, ISSN:1052-6234, Pages:604-625

Peach R, Greenbury S, Johnston I, et al., 2021, Understanding learner behaviour in online courses with Bayesian modelling and time series characterisation, Scientific Reports, Vol:11, ISSN:2045-2322

Schreglmann SR, Wang D, Peach RL, et al., 2021, Non-invasive suppression of essential tremor via phase-locked disruption of its temporal coherence, Nature Communications, Vol:12, ISSN:2041-1723

Qian Y, Expert P, Rieu T, et al., 2021, Quantifying the alignment of graph and features in deep learning, IEEE Transactions on Neural Networks, ISSN:1045-9227, Pages:1-10

Price JR, Mookerjee S, Dyakova E, et al., 2021, Development and delivery of a real-time hospital-onset COVID-19 surveillance system using network analysis, Clinical Infectious Diseases, Vol:72, ISSN:1058-4838, Pages:82-89

Kuntz J, Thomas P, Stan G-B, et al., 2021, Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations, SIAM Review, Vol:63, ISSN:0036-1445, Pages:3-64

Clarke J, Murray A, Markar S, et al., 2020, A new geographic model of care to manage the post-COVID-19 elective surgery aftershock in England: a retrospective observational study, Bmj Open, Vol:10, ISSN:2044-6055, Pages:1-9

Clarke J, Beaney T, Majeed A, et al., 2020, Identifying naturally occurring communities of primary care providers in the English National Health Service in London, Bmj Open, Vol:10, ISSN:2044-6055, Pages:1-7

Arnaudon A, Peach R, Barahona M, 2020, Scale-dependent measure of network centrality from diffusion dynamics, Physical Review Research, Vol:2, ISSN:2643-1564

Gosztolai A, Barahona M, 2020, Cellular memory enhances bacterial chemotactic navigation in rugged environments, Communications Physics, Vol:3, ISSN:2399-3650

Peach RL, Arnaudon A, Barahona M, 2020, Semi-supervised classification on graphs using explicit diffusion dynamics, Foundations of Data Science, Vol:2, ISSN:2639-8001, Pages:19-33

Greenbury S, Barahona M, Johnston I, 2020, HyperTraPS: Inferring probabilistic patterns of trait acquisition in evolutionary and disease progression pathways, Cell Systems, Vol:10, ISSN:2405-4712, Pages:39-51

Maes A, Barahona M, Clopath C, 2020, Learning spatiotemporal signals using a recurrent spiking network that discretizes time, Plos Computational Biology, Vol:16, Pages:e1007606-e1007606

Liu Z, Barahona M, 2020, Graph-based data clustering via multiscale community detection, Applied Network Science, Vol:5, ISSN:2364-8228, Pages:1-20

Tonn MK, Thomas P, Barahona M, et al., 2020, Computation of Single-Cell Metabolite Distributions Using Mixture Models., Front Cell Dev Biol, Vol:8, ISSN:2296-634X

Hodges M, Yaliraki SN, Barahona M, 2019, Edge-based formulation of elastic network models, Physical Review Research, Pages:033211-033211

Peach R, Yaliraki S, Lefevre D, et al., 2019, Data-driven unsupervised clustering of online learner behaviour , Npj Science of Learning, Vol:4, ISSN:2056-7936

Kuntz Nussio J, Thomas P, Stan GB, et al., 2019, Bounding the stationary distributions of the chemical master equation via mathematical programming, Journal of Chemical Physics, Vol:151, ISSN:0021-9606

Schaub MT, Delvenne JC, Lambiotte R, et al., 2019, Multiscale dynamical embeddings of complex networks, Physical Review E, Vol:99, ISSN:1539-3755, Pages:062308-1-062308-18

Kuntz J, Thomas P, Stan G-B, et al., 2019, The exit time finite state projection scheme: bounding exit distributions and occupation measures of continuous-time Markov chains, SIAM Journal on Scientific Computing, Vol:41, ISSN:1064-8275, Pages:A748-A769

Tonn M, Thomas P, Barahona M, et al., 2019, Stochastic modelling reveals mechanisms of metabolic heterogeneity, Communications Biology, Vol:2, ISSN:2399-3642

Altuncu MT, Mayer E, Yaliraki SN, et al., 2019, From free text to clusters of content in health records: An unsupervised graph partitioning approach, Applied Network Science, Vol:4, ISSN:2364-8228

Gosztolai A, Carrillo JA, Barahona M, 2019, Collective search with finite perception: Transient dynamics and search efficiency, Frontiers in Physics, Vol:6, ISSN:2296-424X

Clarke JM, Warren LR, Arora S, et al., 2018, Guiding interoperable electronic health records through patient-sharing networks., Npj Digital Medicine, Vol:1, ISSN:2398-6352, Pages:65-65

Beguerisse M, Bosque G, Oyarzun DA, et al., 2018, Flux-dependent graphs for metabolic networks, Npj Systems Biology and Applications, Vol:4, ISSN:2056-7189

Hodges M, Barahona M, Yaliraki SN, 2018, Allostery and cooperativity in multimeric proteins: bond-to-bond propensities in ATCase, Scientific Reports, Vol:8, ISSN:2045-2322

Tomazou M, Barahona M, Polizzi K, et al., 2018, Computational re-design of synthetic genetic oscillators for independent amplitude and frequency modulation, Cell Systems, Vol:6, ISSN:2405-4712, Pages:508-520.e5

Liu Z, Barahona M, 2017, Geometric multiscale community detection: Markov stability and vector partitioning, Journal of Complex Networks, Vol:6, ISSN:2051-1329, Pages:157-172

Kiselev V, Kirschner K, Schaub MT, et al., 2017, SC3: consensus clustering of single-cell RNA-seq data, Nature Methods, Vol:14, ISSN:1548-7105, Pages:483-486

Dattani J, Barahona M, 2017, Stochastic models of gene transcription with upstream drives: Exact solution and sample path characterisation, Journal of the Royal Society Interface, Vol:14, ISSN:1742-5689

Beguerisse-Diaz M, McLennan AK, Garduño-Hernández G, et al., 2017, The 'who' and 'what' of #diabetes on Twitter, Digital Health, Vol:3, ISSN:2055-2076, Pages:1-29

Schaub MT, O'Clery N, Billeh YN, et al., 2016, Graph partitions and cluster synchronization in networks of oscillators, Chaos, Vol:26, ISSN:1054-1500

Beguerisse Diaz M, Desikan R, Barahona M, 2016, Linear models of activation cascades: analytical solutions and coarse-graining of delayed signal transduction, Journal of the Royal Society Interface, Vol:13, ISSN:1742-5689

Amor BRC, Schaub MT, Yaliraki S, et al., 2016, Prediction of allosteric sites and mediating interactions through bond-to-bond propensities, Nature Communications, Vol:7, ISSN:2041-1723, Pages:1-13

Bacik KA, Schaub MT, Beguerisse-Diaz M, et al., 2016, Flow-Based Network Analysis of the Caenorhabditis elegans Connectome, PLOS Computational Biology, Vol:12, ISSN:1553-734X

Kuntz J, Ottobre M, Stan G-B, et al., 2016, BOUNDING STATIONARY AVERAGES OF POLYNOMIAL DIFFUSIONS VIA SEMIDEFINITE PROGRAMMING, SIAM Journal on Scientific Computing, Vol:38, ISSN:1064-8275, Pages:A3891-A3920

Sim A, Yaliraki SN, Barahona M, et al., 2015, Great cities look small., Journal of the Royal Society Interface, Vol:12, ISSN:1742-5689

Schaub MT, Billeh YN, Anastassiou CA, et al., 2015, Emergence of Slow-Switching Assemblies in Structured Neuronal Networks, PLOS Computational Biology, Vol:11, ISSN:1553-734X

Noseda M, Harada M, McSweeney S, et al., 2015, PDGFRα demarcates the cardiogenic clonogenic Sca1(+) stem/progenitor cell in adult murine myocardium, Nature Communications, Vol:6, ISSN:2041-1723

Wang B, Barahona M, Buck M, 2015, Amplification of small molecule-inducible gene expression via tuning of intracellular receptor densities, Nucleic Acids Research, Vol:43, ISSN:0305-1048, Pages:1955-1964

Branch T, Girvan P, Barahona M, et al., 2015, Introduction of a Fluorescent Probe to Amyloid-beta to Reveal Kinetic Insights into Its Interactions with Copper(II), Angewandte Chemie - International Edition, Vol:54, ISSN:1433-7851, Pages:1227-1230

Beguerisse-Díaz M, Garduño-Hernández G, Vangelov B, et al., 2014, Interest communities and flow roles in directed networks: the Twitter network of the UK riots, J. R. Soc. Interface 6 December 2014, Vol:11

Georgiou PS, Barahona M, Yaliraki SN, et al., 2014, On memristor ideality and reciprocity, Microelectronics Journal, Vol:45, ISSN:0026-2692, Pages:1363-1371

Billeh YN, Schaub MT, Anastassiou CA, et al., 2014, Revealing cell assemblies at multiple levels of granularity, Journal of Neuroscience Methods, Vol:236, ISSN:0165-0270, Pages:92-106

Wang B, Barahona M, Buck M, 2014, Engineering modular and tunable genetic amplifiers for scaling transcriptional signals in cascaded gene networks, Nucleic Acids Research

Lambiotte R, Delvenne JC, Barahona M, 2014, Random walks, Markov processes and the multiscale modular organization of complex networks, Ieee Transactions on Network Science and Engineering, Vol:1, Pages:76-90

Amor B, Yaliraki SN, Woscholski R, et al., 2014, Uncovering allosteric pathways in caspase-1 using Markov transient analysis and multiscale community detection, Molecular Biosystems, Vol:10, ISSN:1742-206X, Pages:2247-2258

Wang B, Barahona M, Buck M, 2012, A modular cell-based biosensor using engineered genetic logic circuits to detect and integrate multiple environmental signals, Biosensors & Bioelectronics, Vol:40, ISSN:0956-5663, Pages:368-376

Schaub MT, Delvenne J-C, Yaliraki SN, et al., 2012, Markov Dynamics as a Zooming Lens for Multiscale Community Detection: Non Clique-Like Communities and the Field-of-View Limit, PLOS One, Vol:7, ISSN:1932-6203

Georgiou PS, Barahona M, Yaliraki SN, et al., 2011, Device Properties of Bernoulli Memristors, Proceedings of the IEEE, Vol:100, ISSN:0018-9219, Pages:1-13

Delvenne J-C, Yaliraki SN, Barahona M, 2010, Stability of graph communities across time scales, Proceedings of the National Academy of Sciences of the United States of America, Vol:107, ISSN:0027-8424, Pages:{12755-12760}-{12755-12760}

Strelkowa N, Barahona M, 2010, Switchable genetic oscillator operating in quasi-stable mode, Journal of the Royal Society Interface, Vol:7, ISSN:1742-5689, Pages:{1071-1082}-{1071-1082}

Chang HH, Hemberg M, Barahona M, et al., 2008, Transcriptome-wide noise controls lineage choice in mammalian progenitor cells, Nature, Vol:453, ISSN:0028-0836, Pages:{544-U10}-{544-U10}

Barahona M, Pecora LM, 2002, Synchronization in small-world systems, Physical Review Letters, Vol:89, ISSN:0031-9007

Barahona M, Poon CS, 1996, Detection of nonlinear dynamics in short, noisy time series, Nature, Vol:381, ISSN:0028-0836, Pages:215-217


Schaub MT, Delvenne J-C, Lambiotte R, et al., 2019, Structured networks and coarse-grained descriptions: a dynamical perspective, Advances in Network Clustering and Blockmodeling, Editor(s): Doreian, Batagelj, Ferligoj, John Wiley and Sons, Ltd, Pages:333-361, ISBN:9781119224709

Amor B, Vuik S, Callahan R, et al., 2016, Community detection and role identification in directed networks: understanding the Twitter network of the debate, Dynamic Networks and Cyber-Security, Editor(s): Adams, Heard, World Scientific, Pages:111-136, ISBN:978-1-60558752-3

Delvenne J-C, Schaub MT, Yaliraki S, et al., 2013, The stability of a graph partition: A dynamics-based framework for community detection, Dynamics On and Of Complex Networks, Volume 2, Editor(s): Mukherjee, Choudhury, Peruani, Ganguly, Mitra, Springer, Pages:221-242, ISBN:978-1-4614-6728-1


Altuncu MT, Mayer E, Yaliraki SN, et al., From Text to Topics in Healthcare Records: An Unsupervised Graph Partitioning Methodology, 2018 KDD Conference Proceedings - MLMH: Machine Learning for Medicine and Healthcare

Jadbabaie A, Motee N, Barahona M, On the stability of the Kuramoto model of coupled nonlinear oscillators, Pages:{4296-4301}-{4296-4301}, ISSN:0743-1619


Poon, C.S., Barahona, M., Merrill, C.K., 1996, Method and apparatus for detecting nonlinearity in a dynamical system, US, United States Patent 5792062, World WO1997043722

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