##### RESEARCH

Active Themes

Active Projects

Mathematical biomedicine and survival analysis, with applications to cancer research

Statistical mechanics of disordered and heterogeneous many-particle systems

Stochastic processes on complex networks or graphs, and generation of tailored random graphs

Medical statistics

Bayesian analysis of survival data in presence of latent cohort heterogeneity, beyond the visible covariates (e.g. heterogeneity in associations or base hazard rates), and with competing risks (i.e. informative censoring). Theory of overfitting and overfitting-correction protocols in time-to-event regression models, and Bayesian discriminant analysis for very high-dimensional covariates.

Mathematical immunology

Dynamics and statics of large immune system networks in the finite connectivity regime. We want to improve our understanding of the adaptive immune system, with a long-term view to aid intelligent reprogramming of this powerful but so far clinically under-utilised system.

Currently dormant themes

Mathematical analysis of natural and synthetic neural information processing systems

â€‹

Non-equilibrium statistical mechanics of minority games - agent based models for financial markets

â€‹

Generation of primary and secondary structure in heteropolymers

â€‹

Stationary state probability distributions of nonequilibrium stochastic processes

â€‹

Theory of cellular signalling processes

Cellular signalling networks (proteomic, gene regulatory, metabolic) are highly complex interacting many-variable systems. I try to adapt the mathematical tools from heterogeneous many-particle systems in theoretical physics to proteome and interactome cell biology, such as generating functional analysis

(based on path integrals).

Analysis of loopy sparse random graph ensembles

Nearly all of our mathematical methods for analysing sparse graphs (cavity methods, belief propagation, standard replica methods, etc) assume that these graphs are locally tree-like. No exact methods exist for calculating e.g. eigenvalue spectra or ensemble entropies for graphs with many short loops. I am developing a new method for this, based on a flavour of replica analysis with imaginary replica dimension.

Equilibrium and non-equilibrium analysis of processes on complex loopy graphs

I try to use the methods of the previous project to derive exact results for complex dynamical systems on finitely connected loopy graphs. The idea is to approximate any given graph by an ensemble of random graphs which share with the original graph the full degree sequence and the eigenvalue spectrum (so they have identical local connectivity and identical closed path statistics of any length).

##### PUBLICATIONS

Books

Books in preparation

Principles of survival analysis (with JE Barrett and L Holmberg)

Books planned

Introduction to the replica method

Dynamics of heterogeneous many-particle systems

(with A Annibale and A Mozeika)

All research and review papers

Below you find links to:

A full list of my publications

PDFs of recently published papers, organised by year

PDFs of recently published papers, organised by topic

ACC Coolen, R Kuehn and P Sollich

Theory of neural information processing systems

(Oxford University Press, July 2005)

ACC Coolen

The mathematical theory of minority games: statistical mechanics of interacting agents

(Oxford University Press, January 2005)

ACC Coolen, A Annibale and K Roberts

Generating random networks and graphs

(Oxford University Press, April 2017)

Selected recent research papers

ACC Coolen, J Barrett, P Paga and C Perez Vicente. J Phys A 50 (2017), 375001

Replica analysis of overfitting in regression models for time-to-event data.

â€‹

M Sheikh and ACC Coolen. Journal of Classification (2017), submitted.

Accurate Bayesian data classification without hyperparameter cross-validation.

â€‹

F Aguirre Lopez, P Barucca, M Fekom and ACC Coolen. J Phys A 51 (2018), 085101

Exactly solvable random graph ensemble with extensively many short cycles.

â€‹

A Grigoriadis et al. J Path: Clin Res 4 (2018), 39-54

Histological scoring of immune and stromal features in breast and axillary lymph

nodes is prognostic for distant metastasis in lymph node-positive breast cancers

â€‹

A Mozeika and ACC Coolen. Phys Rev E98 (2018), 042133

Mean-field theory of Bayesian clustering

â€‹

â€‹

â€‹

##### PUBLICATIONS

Books

Books in preparation

Principles of survival analysis (with JE Barrett and L Holmberg)

Books planned

Introduction to the replica method

Dynamics of heterogeneous many-particle systems

(with A Annibale and A Mozeika)

All research and review papers

Below you find links to:

A full list of my publications

PDFs of recently published papers, organised by year

PDFs of recently published papers, organised by topic

ACC Coolen, R Kuehn and P Sollich

Theory of neural information processing systems

(Oxford University Press, July 2005)

ACC Coolen

The mathematical theory of minority games: statistical mechanics of interacting agents

(Oxford University Press, January 2005)

ACC Coolen, A Annibale and K Roberts

Generating random networks and graphs

(Oxford University Press, April 2017)

Selected recent research papers

F Aguirre Lopez and ACC Coolen, submitted to J Phys A (2019)

Imaginary replica analysis of loopy regular random graphs

â€‹

M Sheikh and ACC Coolen, J Phys A (2019), in press

Analysis of overfitting in the regularized Cox model

M Sheikh and ACC Coolen. J Classification (2019), doi.org/10.1007/s00357-019-09316-6

Accurate Bayesian data classification without hyperparameter cross-validation.

â€‹

F Aguirre Lopez, P Barucca, M Fekom and ACC Coolen. J Phys A 51 (2018), 085101

Exactly solvable random graph ensemble with extensively many short cycles.

â€‹

A Grigoriadis et al. J Path: Clin Res 4 (2018), 39-54

Histological scoring of immune and stromal features in breast and axillary lymph

nodes is prognostic for distant metastasis in lymph node-positive breast cancers

â€‹

A Mozeika and ACC Coolen. Phys Rev E98 (2018), 042133

Mean-field theory of Bayesian clustering

â€‹

ACC Coolen, J Barrett, P Paga and C Perez Vicente. J Phys A 50 (2017), 375001

Replica analysis of overfitting in regression models for time-to-event data.

â€‹

â€‹

â€‹

Education

1987 MSc Theoretical Physics, Univ of Utrecht

1990 PhD Theoretical Physics, Univ of Utrecht

Academic appointments

1990-91 Postdoctoral researcher,

Utrecht Biophysics Research Inst (Univ of Utrecht) and Dept of Medical Physics and Biophysics (Univ of Nijmegen)

â€‹

1991-95 Postdoctoral Researcher,

Inst for Theoretical Physics, Univ of Oxford

â€‹

1995-00 Reader in Mathematics,

King's College London

â€‹

2000-present Professor of Applied Mathematics, King's College London

â€‹

2012-present Head of Inst for Mathematical and Molecular Biomedicine (KCL)

Other academic info

Honorary Professor at the UCL Cancer Institute

Member of the Institute of Physics

Member of the London Mathematical Society

Member of the Royal Statistical Society

Member of the EPSRC peer review college

Member of the BBSRC systems biology panel

Academic research partners

King's College London

Dept of Mathematics, Cancer Division, Randall Division, Dept of Primary Care and Public Health Sciences

â€‹

United Kingdom

University College London (Cancer Inst, Dept of Clinical Trials), Queen's University Belfast

â€‹

Continental Europe

Karolinska Inst (Stockholm), Uppsala Univ, Umea Univ, Odense Univ, Erasmus MC Rotterdam, La Sapienza Univ (Roma), Salento Univ, Univ of Barcelona, Pompeu Fabra Univ (Barcelona)

â€‹

Outside Europe

Waseda Univ (Tokyo), Hiroshima Univ, Mayo Clinic Rochester

Corporate and charitable partners

London Institute for Mathematical Sciences

Saddle Point Science (London)

Alacris Theranostics (Berlin)

Eodyne Systems (Barcelona)

GSK (Stevenage, UK)

Astra Zeneca (Gothenburg)

DigiTwins (Berlin)

Non-academic

Utrecht, 22 December 2003. The trick which became a theory: a brief history of the replica method.

â€‹

Nara, 21 January, and Tokyo, 3 February 2004. Disordered (soft) spin systems on random graphs with finite connectivity.

Heidelberg, 1 April 2004. Simple solvable models of primary and secondary structure formation in hetero-polymers.

â€‹

Oxford, 27 September 2004, and Amsterdam, 12 November 2004. Generating functional analysis of minority games with real market histories.

â€‹

Leiden, 26 May 2005. Theory of coupled oscillators on finitely connected random networks.

â€‹

Barcelona, 3 June 2005. Statistical mechanics of signalling processes on complex biological networks.

â€‹

Leuven, 8 August 2005. Finitely connected vector spin systems with random matrix interactions.

â€‹

Cambridge, 10 Jan 2006. Dynamics on finitely connected random graphs.

â€‹

Oxford, 27 Sept 2006. Generating functional analysis of inner product minority games.

â€‹

Fribourg, 8 Nov 2007. Applications of generating functional analysis to minority game models.

â€‹

Trieste, 16 Jan 2008. Spin models on random graphs with controlled topologies beyond degree constraints.

â€‹

Rome, 13 Feb 2008. A solvable model of the genesis of amino-acid sequences via coupled dynamics of folding and slow genetic variation.

Kyoto, 16 Sep 2009. Generating functional analysis of complex formation and dissociation in large protein interaction networks.

â€‹

Stockholm (NORDITA), 22 June 2010, and Roma (La Sapienza), 1 July 2010. Tailoring, counting, and generating structured random graphs.

â€‹

Dublin, 22 June 2011. Analysis of signalling in large protein interaction networks.

Evora (Portugal), 16 Sept 2011. Controlled Markovian dynamics of graphs.

â€‹

London, 21 Feb 2012, 26 March 2012. What you see is not what you get: how sampling affects macroscopic features of biological networks.

â€‹

Bad Honnef (DPG Physics School), Sept 2012. Counting and generating tailored random graphs.

â€‹

Stockholm, 12 June 2013. Generic solution of the competing risk problem in survival analysis.

â€‹

Paris, 11 Dec 2013. Solvable immune network models on finitely connected graphs with many short loops

â€‹

Warwick Univ, 5 May 2014. New approaches to loopy random graph ensembles.

Pisa, 8 Dec 2014. Bayesian clinical classification from high-dimensional data: signatures versus variability.

â€‹

Berlin, 14 Jan 2015. Mathematics for cancer research - making optimal use of cancer data.

â€‹

Torino (Bardonecchia), 2 Feb 2015. Tools for stochastic processes on loopy networks.

Boston, 20 May 2015, London, June 9 2015. New analytical tools for loopy sparse random graphs.

Kyoto, 15 December 2015, London, June 9 2015. Replica methods for loopy sparse random graphs.

New York, 18 April 2016. Towards a theory of overfitting in proportional hazards regression for survival data.

Rochester (Mayo Clinic), 20 April 2016. Give me six hours to chop down a tree ... Statistical tools to meet the challenges of modern medical data.

Umea University, Sweden, 10 April 2017. Cohort heterogeneity and competing risks in cancer survival.

â€‹

Barcelona, 31 Aug 2017. Neural networks versus immune networks: interesting observations and new questions

â€‹

London, 13 Sept 2017. Theory of overfitting in Cox regression

â€‹

Eindhoven, 21 Sept 2017. Tailoring of random networks and graphs

â€‹

Krakow, 14 Nov 2018. Tools for understanding and manipulating cellular signalling networks

â€‹

Teddington, 18 Dec 2018. Open nonequilibrium problems in spin systems

##### RECENT SEMINARS

##### TEACHING

Lecture courses

Postgraduate collaborators

Mansoor Sheikh

Analytically integrable Bayesian discriminant analysis methods for high-dimensional biomedical data

â€‹

Fabian Aguirre-Lopez

Statistical mechanics of networks and graphs with many short loops

##### SUPERVISION

##### AND

Postdoctoral collaborators

Mark Rowley

Bayesian latent class analyses of clinical data, and their computational implementations

Alexander Mozeika

Mathematical modelling of the adaptive immune system and Bayesian clustering methods

Fabrizio Antenucci

Bayesian predictive inference and overfitting correction for high-dimensional biomedical data.

Former postgraduate collaborators

Harm Jonker, Stephen Laughton, Charles Mace, Nikos Skantzos, Alexander Heimel, Hirak Chakravorty, Jon Hatchett, Theodore Nikoletopoulos, Bastian Wemmenhove, Nima Shayeghi, Sabrina Rabello, Alexander Mozeika, Panos Papadopoulos, Mark Rowley, Kate Roberts, James Barrett, Akram Shalabi

Lecture notes

Challenges of high dimensionality and heterogeneity in inference from modern medical data (2019) (Havana School lectures)

â€‹

Theory of complex networks (2016)

Statistical physics of tailored random graphs: entropies, processes and generation (2015)

(Barcelona Summerschool lectures)

The replica method and its applications in biomedical modelling and data analysis (2014)

Principles of survival analysis (incomplete, 2012)

Calculus 1 (2011)

Calculus in 16 pages (2011)

Markov chains (2009)

Introductory quantum theory (2005)

Information theory in neural networks (2002)

Advanced neural networks (2002)

Path integral methods in the dynamics of disordered systems (1999)

Neural networks (1998)