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

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

Generation of primary and secondary structure in heteropolymers

Stationary state probability distributions of nonequilibrium stochastic processes

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, 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.

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

Accurate Bayesian data classification without hyperparameter cross-validation.

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.

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

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

Mean-field theory of Bayesian clustering

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, 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

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.

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.

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

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

Mean-field theory of Bayesian clustering

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.

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)

1991-95 Postdoctoral Researcher,

      Inst for Theoretical Physics, Univ of Oxford

1995-00 Reader in Mathematics,

       King's College London

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

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

United Kingdom

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

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)

Outside Europe

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

Corporate and charitable partners

Non-academic

RECENT SEMINARS
TEACHING

Lecture courses

Postgraduate collaborators

Mansoor Sheikh

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

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

BRIEF CV
 
 
 
 
CONTACT ME

© 2017 By Ton Coolen

This site was designed with the
.com
website builder. Create your website today.
Start Now