Overview
This webpage summarises the research activities of my group. Our main research involves the application of fluid mechanics and continuum mechanics to understanding biomedical problems. The general approach is to simplify and idealise the problem to make it possible to solve analytically or semi-analytically. This increases our fundamental understanding of the problem, and leads to new insight into key areas of physiology and medicine.
Areas of application
Areas of current research interest include mathematical modelling of the following phenomena:
- Fluid flow and mass transport in the eye
- Blood flow and mass transport in the microcirculation of the liver
- Blood flow in the arteries, including arterial curvature, compliance, wave intensity analysis, pathological conditions
- Devices to measure arterial blood pressure
- Propagation of electrical signals in the myocardium
- Behaviour of electrochemical sensors
Membership
I am an active member of the following societies:
- Member of the Institute of Mathematics and its Applications (IMA)
- Member of the European Mechanics Society (EUROMECH)
- Member of Christians in Science (CiS)
- Member of the UK Fluids Network
I also run a Special Interest Group, which is part of the UK fluids network on Fluid Mechanics of the Eye with Eamonn Gaffney
Current members of my research group
- Mazen About Gamrah (PhD candidate, 2017-)
- Waruj Akaraworatikamporn (PhD candidate, 2017-)
- Maryam Argungu (PhD candidate, 2014-)
- Laura Bevis (PhD candidate, 2017-)
- Paul Mannix (PhD candidate, 2016-, principal supervisor Dr Jonathan Mestel)
- Raquel Henriquez Vaz (PhD candidate, 2015-, principal supervisor Dr Jonathan Mestel)
- Karla Sanchez (PhD candidate, 2014-)
- Mengke Lauran Zhuang (MRes student, 2017-)
We also have MSc students and undergraduate students in the group who are working on individual or group projects.
Former members of my research group
- Carmen Garcia (visiting researcher from University of Malaga, Spain, 2017)
- Rheeda Ali (PhD candidate, 2012-2016)
- Carlos Escobar del Pozo (visiting researcher from University of Colima, Mexico, 2015-2016)
- Sang Lee (PhD candidate, principal supervisor Dr Reiko Tanaka, 2011-2015)
- Raquel Henriquez Vaz (MRes student on Fluid Dynamics Across Scales CDT, 2014-2015, principal supervisor Dr Jonathan Mestel)
- Alexandre Cornet (MSc student from ENS Paris, 2014-2015)
- Sophie Schobesberger (PhD candidate, principal supervisor Dr Julia Gorelik, 2011-2015)
- Caroline Roney (PhD candidate, 2011-2015)
- Emmanuelle Flatt (MSc student from EPFL Lausanne, 2014-2015)
- Hakim-Moulay Dehbi (MRes student, 2012-2013)
- Dr Eugene Chang (PhD student, 2009-2013)
- Dr Olga Korolkova (PhD student, 2009-2013)
- Dr Kritsada Leungchavaphongse (PhD student, 2008-2013)
- Nico Wazula (MSc student from TU Munich, 2012)
- Dr Julia Meskauskas (PhD student, 2008-2012)
- Dr Adriana Setchi (PhD student, 2007-2011)
- Caroline Roney (MRes student, 2010-2011)
- Dr Christopher Bell (postdoctoral researcher, 2008-2011)
- Dr Sevil Payvandi (PhD student, 2006-2010)
- Andrea Bonfiglio (MSc student from University of Genoa, 2007-2008)
They are all missed.
Collaborators
Dr Darryl Overby, Imperial College London, Fluid mechanics of the eye, 2017
Dr Anil Bharath, Imperial College London, Cardiac mechanics, electrocardiology and deep learning, 2016
Dr JO Pralits, University of Genoa, 2014
Dr Paolo Soleri, Mr Fred Wassenburg, Ophtec, Groningen, 2014 - 2017
Professor Nicholas Peters, Imperial College London, 2010
Dr Jonathan Mestel, Imperial College London, 2007
Dr Rodolfo Repetto, University of Genoa, 2006
Professor Kim Parker, Department of Bioengineering, 2006
Research Staff
Research Student Supervision
Abou Gamrah,M, Mathematical modelling of the aortic root (PhD student, 2017-) with Prof KH Parker
Akaraworatikamporn,W, Mathematical modelling mass transport in the arterial wall (PhD student, 2017-) with Prof CG Caro
Ali,R, Mathematical modelling of cardiac arrhythmias: clinical data and mathematical modelling (PhD student, 2012-2016, co-supervisors Professors Spencer Sherwin and Nicholas Peters). Funded by BHF Centre of Research Excellence
Ali,R, Mathematical modelling of cardiac arrhymthias: clinical data and mathematical modelling (2012-2016). With Prof SJ Sherwin and Prof NS Peters. Funded by the BHF Research Excellence Award
Argungu,M, Mathematical Modelling of Microcirculation in the Liver (PhD student, 2014-)
Bevis,L, Mathematical modelling of the fluid dynamics of the vitreous humour (PhD student, 2017-) with Prof AJ Mestel and Dr DR Overby
Bonfiglio,A, Modelling the microcirculation of the liver (Masters student, 2007-8, principal supervisor Dr Repetto)
Chang,E, Modelling the propagation of electrical signals in the myocardium (PhD student, 2009-2013)
Cornet,A, Mathematical model of the effect of stenoses on arterial pressure waves (visiting master student ENS de Cachan Paris, 2014-2015). With Prof KH Parker
Davvalo Khongar,P, Effect of an optical device on the flow in the anterior chamber of the eye (Master student, 2013-2014, based in University of L'Aquila, Italy) with Dr R Repetto
Dehbi,H-M, Optimisation of parameters for cardiac resynchronisation therapy (MRes student, co-supervisor Professor Darrel Francis, 2013-2013)
Dvoriashyna,M, Effect of iridotomy on the flow in the anterior chamber of the eye (PhD student, based in University of Genoa, 2015-). With Dr R Repetto
Dvoriashyna,M, Effect of iridotomy on the flow in the anterior chamber of the eye (Master student based in University of L'Aquila, Italy, 2014-2015). With Dr R Repetto
Flatt,E, Mathematical model of degradation of vitreous humour and vitreoschisis (visiting master student, EPFL Lausanne, 2014-2015)
Henriques Vaz,R, Convection problems in a curved slot (PhD student, 2015-). With Prof AJ Mestel. Funded by CDT `Fluid dynamics Across Scales'
Henriques Vaz,R, Convection in a curved vertical slot in a horizontal temperature gradient (MRes project, 2015). With Prof AJ Mestel. Funded by CDT `Fluid dynamics Across Scales'
Korolkova,O, Devices to measure arterial blood pressure (PhD student, 2009-2013)
Lee,S, Compound logics in cell signalling and gene expression (PhD student, 2011-2015, principal supervisor Dr Tanaka)
Leungchavaphongse,K, Microcirculation in the liver (PhD student, 2008-2013)
Mannix,P, Thermal convection in a spherical shell (PhD candidate, 2016-) with Prof AJ Mestel
Meskauskas,J, Viscoelastic flow in the vitreous humour of the eye (PhD student, principal supervisor Dr Repetto, 2008-2012)
Payvandi,S, Blood flow in curved, compliant arteries (PhD student, 2006-10)
Roney,C, Developing a mathematical model to predict the onset of alternans and ventricular arrhythmias (PhD student, 2011-2015, co-supervisors Prof Peters, Dr Ng). Funded by BHF Centre of Research Excellence
Roney,C, Mathematical modelling of the cardiac electric signal (MRes student, 2010-11)
Sanchez-Cazares,KE, Mathematical modelling of the cerebral haemodynamics (PhD student, 2014-). With Prof KH Parker. Funded by CONACYT, Mexico
Schobesberger,S, Mathematical modelling of feedback circuit in local cAMP/cGMP domains (PhD student, 2011-2015, principal supervisor Dr Gorelik, co-supervisor Prof Harding)
Setchi,A, Modelling cardiovascular flow and pressure in patients with patent ductus arteriosus (PhD student, 2007-2011) with Prof AJ Mestel and Prof KH Parker
Wazula,N, Flow in the anterior chamber of the eye (Masters student 2012-2012)
Zhuang,M, Mathematical modelling of microcirculation of the liver (MRes student, 2017-2018)