Contact details
| Room no. | LT1039 |
|---|---|
| Telephone | +44 (0)141 548 2971 |
| Fax | +44 (0)141 548 3345 |
| anthony.mulholland@strath.ac.uk |
Biography
Dr Tony Mulholland has published over 50 papers from nonlinear wave propagation in mathematical biology to the modelling of ultrasonic devices and systems.
Members of his research group are:
PhD Students
Joe Pettigrew (from 2012)
Postdoctoral Researchers
A common theme is the provision of fundamental mathematical expertise to the solution of real engineering and bio-medical problems. He has collaborations throughout the US and Europe, and is a member of a French GDR network in Ultrasonics. He plays the leading role in the modelling developments in the Centre for Ultrasonic Engineering (CUE) at Strathclyde University (www.cue.ac.uk) and has recently secured a £1 million EPSRC Platform Grant; the central aim of which is to establish a world leading centre of excellence in coded ultrasound. CUE is a leading partner in the UK National Centre for Research in Non-Destructive Evaluation (RCNDE), the other founder members being the universities of Imperial, Bath, Bristol, Nottingham and Warwick (www.rcnde.ac.uk). He has developed a computationally efficient, plane wave expansion model that will allow 3-dimensional analysis of the vibrational and electrical behaviour of piezoelectric composite devices with lossy polymer phases. The model also facilitated the first study of wave propagation in composite piezoelectric media with a radically new design involving fractal geometry. He is an instructor for the European Consortium for Mathematics in Industry and is an international referee for the Canadian NSERC and the Foundation for Research, Science and Technology in New Zealand. He is actively involved in the administration of national learned societies; until recently a committee member of the Edinburgh Mathematical Society and currently a vice-chair of the Scottish branch of the Institute of Mathematics and its Applications. In the last five years he has helped to secure over £2 million of external funding and this allowed him to create a small research group in the department of mathematics. He has recently secured £0.5 million funding from EPSRC to Bridge the Gaps between mathematics, engineering and other disciplines (www.strath.ac.uk/btg). One of his key ideas was then realised when he organised the first University Research Day at Strathclyde; an annual event to showcase the research activity across all four faculties of the university. He is committed to the public dissemination of Strathclyde's research and this has led him to develop a web-based research portal. The beta version of this portal is now fully functional and resides in an interactive zone in the Glasgow Science Centre, with the full site going live later in the year. As part of an EPSRC Public Engagement grant, he is helping to develop ultrasound lab projects in schools to impart the fun of scientific research to the next generation. His industrial research collaborators include Doosan Babcock, PZFlex Europe, Rolls Royce, Shell, the National Nuclear Laboratory, Serco Assurance, and BP.
RESEARCH GRANTS
| [RG1] | 2008-2012 EPSRC Grant EP/F017421/1 "Generation, Detection and Analysis of Optimally Coded Ultrasonic Waveform systems." with Professor G. Hayward (Dept of Electronic and Electrical Engineering, Strathclyde). | £947,712 |
| [RG2] | 2007-2010 EPSR Grant EP/E018858/1 "Systems risk in information-rich environments." with Professor Tim Bedford (Dept of Management Science, Strathclyde) | £458,463 |
| [RG3] | 2005-2008 EPSRDC Grant EP/C540387/1 "Real-time monitoring of bioprocesses using in situ non-linear active acoustic methods." with Dr. A. Nordon (Dept of Pure and Applied Chemistry, Strathclyde) and Dr. A. Gachagain (Dept of Electronic and Electrical Engineering, Strathclyde) | £84,835 |
| [RG4] | 2003-2007 EPSRC Grant GR/S31235/01 "A New Range of Ultrasonic Transducers using Dispersed Phase Materials." with Professor G. Hayward (Dept of Electronic and Electrical Engineering, Strathclyde) and Professor R.A. Pethrick (Dept of Pure and Applied Chemistry, Strathclyde). | £424,396 |
| [RG5] | 2001-2004 EPSRC Grant GR/N02207 "Realising the Potential of the Dielectric Approach to Non-Destructive Examination of Adhesive Bonded Structures." with Professor R.A. Pethrick (Dept of Pure and Applied Chemistry) | £149,379 |
| [RG6] | 2001-2005 EPSRC Grant GR/N27644/01 "New Generation of Ultrasonic Systems." with Professor G. Hayward, (Dept of Electronic and Electrical Engineering, Strathclyde) | £480,862 |
Selected publications
- Analysis of the α,0-quasi periodic transformation for a periodic diffraction grating
- Lord NH and Mulholland AJ
2011, #19 - A Theoretical Model of an electrostatic Ultrasonic Transducer incorporating Resonating Conduits
- Walker AJ and Mulholland AJ
IMA J. Appl. Math., 2010, 75 (5), 796-810. - Piezoelectric Ultrasonic Transducers with Fractal Geometry
- Mulholland AJ and Walker AJ
Fractals (Submitted). - Analysis of the Rayleigh-Plesset equation with chirp excitation
- Barlow E, Mulholland AJ, Gachagan A, Nordon A and Macpherson K
Ima Journal of Applied Mathematics, 2009, 74, 20-34 - Theoretical Analysis of Ultrasonic Vibration Spectra from Multiple Particle-Plate Impacts
- Carson G, Mulholland AJ, Nordon A, Gachagan A and Hayward G
Ieee Trans. Ultrason. Ferroelectrics Frequency Cont., 2009, 56(5), 1034-1041 - Estimating Particle Concentration Using Passive Ultrasonic Measurement of Impact Vibrations
- Carson G, Mulholland AJ, Nordon A, Tramontana M, Gachagan A and Hayward G
Ieee Transactions on Ultrasonics Ferroelectrics and Frequency Control, 2009, 56, 345-352 - A fractional fourier transform analysis of the chirp excitation of ultrasound contrast agents
- Barlow E and Mulholland AJ
IMA J. Appl. Maths. (Submitted). - Inversion layer piezolectric transducers with multiple matching layers
- Ramadas SN, Mulholland AJ, O'Leary RL, Pethrick RA and Hayward G
IEEE TUFFC (Submitted). - Acoustic properties of photocured epoxy resin blends and particle filled resins
- Troge A, O'Leary RL, Hayward G, Pethrick RA and Mullholland AJ
J. Acoustic Society of America (Submitted). - Theoretical analysis of chirp excittion of contrast agents
- Barlow E, Mulholland AJ, Gachagan A and Nordon A
Proceedings of the 2009 International Congress on Ultrasonics, Santiago Chile (Submitted). - The causal differential scattering approach to calculating the effective properties of random composite materials with a particle size distribution
- Young A, Mulholland AJ and O'Leary RL
Springer Proceedings in Physics, 2009, 128, 49-59 - Particle sizing using passive ultrasonic measurement of particle-wall impact vibrations
- Carson G, Mulholland AJ, Nordon A, Tramontana M, Gachagan A and Hayward G
J. Sound Vibration, 2008, 317(1-2), 142-157 - Vibration analysis of a circular plate in interaction with an acoustic cavity leading to extraction of structural modal parameters
- Gorman DG, Trendafilova I, Mulholland AJ and Horacek J
Thin-Walled Struct., 2008, 46(7-9), 878-886 - Bounds on the Hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice
- Mulholland AJ
Chaos Soliton. & Fract., 2008, 35(2), 274-284 - Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layers
- Mulholland AJ, Ramadas N, O'Leary RL, Parr ACS, Hayward G, Troge A and Pethrick RA
IMA J. Appl. Math., 2008, 73, 936-949 - Harmonic analysis of lossy, piezoelectric composite transducers using the plane wave expansion method
- Orr LA, Mulholland AJ, O'Leary RL and Hayward G
Ultrasonics, 2008, 48(8), 652-663 - ANALYSIS OF ULTRASONIC TRANSDUCERS WITH FRACTAL ARCHITECTURE
- Orr LA, Mulholland AJ, O'Leary RL and Hayward G
Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2008, 16, 333-349 - A theoretical analysis of ultrasonic transducers with fractal architecture
- Orr L-A, Mulholland AJ, O'Leary RL, Pethrick RA and Hayward G
Fractals, 2008, 16(4), 333-349 - A theoretical model of a new electrostatic transducer incorporating fluidic amplification
- Walker A, Mulholland AJ, Campbell E and Hayard G
Proceedings of the 2008 IEEE International Ultrasonics Symposium, Beijing, China, 2008, 1409-1412 - Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion method
- Orr L, Mulholland AJ, O'Leary RL and Hayward G
Ultrasonics, 2008, 48, 652-663 - An inverse problem of reconstructing the electrical and geometrical parameters characterising airframe structures and connector interfaces
- Mackay C, Hayward D, Mulholland AJ, McKee S and Pethrick R
Inverse Problems Sci. Eng., 2007, 15(3), 177-190 - Analytical modelling and extraction of the modal behaviour of a cantilever beam in fluid interaction
- Gorman DG, Trendafilova I, Mulholland AJ and Horacek J
J. Sound Vibration, 2007, 308(1-2), 231-245 - A theoretical analysis of a piezoelectric ultrasound device with an active matching layer
- Mulholland AJ, O'Leary RL, Ramadas N, Parr A, Troge A, Pethrick RA and Hayward G
Ultrasonics, 2007, 47(1), 102-110 - Theoretical modelling of frequency dependent elastic loss in composite piezoelectric transducers
- Orr LA, Mulholland AJ, O'Leary RL, Parr A, Pethrick RA and Hayward G
Ultrasonics, 2007, 47, 130-137 - A theoretical investigation of 2-2 composite transducers with high shear attenuation in the passive phase
- Orr L, Mulholland AJ, O'Leary RL and Hayward G
2007, 109-115 - Vibration of a Coupled Plate/Fluid Interacting System and its Implications for Modal Analysis and Vibration Health Monitoring
- Gorman DG, Trendafilova I, Mulholland AJ and Horacek J
Appl. Mech. Mater., 2006, 5-6, 323-330 - Diffusion and convection of gaseous and fine particulate from a chimney
- MacKay C, McKee S and Mulholland AJ
IMA J. Appl. Math., 2006, 71, 670-691 - Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements
- Crane RL, Hayward D, McConnell B, Pethrick RA, Mulholland AJ, McKee S and MacKay C
Sampe J., 2006, 42(5), 35-38 - Particle Sizing in the Process Industry using Hertz-Zener Impact Theory and Acoustic Emission Spectra
- Carson G, Mulholland AJ, Nordon A, Tramontana M, Gachagan A and Hayward G
2006 Ieee Ultrason. Sym. , Vols 1-5, P., 2006, 1406-1409 - An inverse problem arising in the smoke dispersion from a high chimney
- Mackay C, Mulholland AJ and McKee S
IMA J. Appl. Maths., 2006, 71(5), 670-691 - A theoretical investigation of 2-2 composite transducers with high shear attenuation in the passive phase
- Orr L-A, Mulholland AJ, O'Leary RL and Hayward G
Proceedings of GDR 2501/CNRS ST21: Etude de la propagation ultrasonore en milieux non homogenes en vue du controle non-destructif, Presqu'ile de Giens (France), 2006, 109-115 - A three-port acoustic lattice model for piezoelectric transducers containing opposing zones of polarization
- Ramadas SN, Hayward G, O'Leary RL, Murray V, Robertson D, Mulholland AJ and Troge A
Proceedings of the 2006 IEEE International Ultrasonics Sympsoium, 2006, 1899-1902 - Incorporation of viscoelastic loss into the plane wave expansion approach to modelling composite transducers
- Orr L-A, Mulholland AJ, O'Leary RL and Hayward G
Proceedings of the 2006 IEEE International Ultrasonics Sympsoium, 2006, 472-475 - Towards a Model of Atherosclerosis
- McKay C, McKee S, Mottram N, Mulholland T, Wilson S, Kennedy S and Wadsworth R
University of Strathclyde Mathematics Research Report, 2005, #4 - Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements
- Crane RL, Hayward D, McConnell B, Pethrick RA, Mulholland AJ, McKee S and MacKay C
37th ISTC Seattle WA, 2005 - Reconstruction of the spatial dependency of dielectric and geometrical properties of adhesively bonded structures
- Mackay C, Hayward D, Mulholland AJ, McKee S and Pethrick RA
Journal of Physics D: Applied Physics, 2005, 38, 1943-1949 - Simulation of deposit formation in particle laden flows
- Mulholland AJ, Steves BA, Buick BA, Cosgrove JA and Collins MW
Internal Med., 2004, 11, 30-37 - Existence and stability of reaction-diffusion waves on a fractal lattice
- Abdulbake J, Mulholland AJ and Gomatam J
Chaos Soliton. Fract., 2004, 20, 799-814 - A renormalisation approach to excitable reaction-diffusion waves in fractal media
- Abdulbake J, Mulholland AJ and Gomatam J
Fractals, 2003, 11(4), 315-330 - Simulation of deposit formation in particle laden flows: thermal properties
- Mulholland AJ, Steves BA, Buick JM, Cosgrove JA and Collins MW
Biomed. Pharmacother., 2003, 56(7), 347-347 - A renormalization approach to reaction-diffusion processes on fractals
- Abdulbake J, Mulholland AJ and Gomatam J
Fract. Complex Geom. Patterns Scaling Nature Soc., 2003, 11, 315-330 - A renormalisation approach to reaction-diffusion processes on fractals
- Abdulbake J, Mulholland AJ and Gomatam J
University of Strathclyde Mathematics Research Report, 2002, #15 - The lattice Boltzmann equation for modelling arterial flows: Review and application
- Buick JM, Cosgrove JA, Tonge SJ, Collins MW, Gomatam J, Mulholland AJ and Steves BA
Biomed. Pharmacother., 2002, 56, 345-346 - Knotted reaction-diffusion waves
- McDermott S, Mulholland AJ and Gomatam J
P. Roy. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2002, 458, 2947-2966 - The lattice Boltzmann equation for modelling arterial flows: review and application
- Buick JM, Cosgrove JA, Tonge SJ, Collins MW, Gomatam J, Mulholland AJ and Steves BA
Proceedings of the fourth International Congress on Progress in Bioengineering and the Vascular Endothelium - Basic and clnical aspects, Pisa-San Roman (Italy) Biomedicine and Pharmacotherapy, 2002, 56, 345-346 - Simulation of deposit formation in particle lade flows: Thermal properties
- Mulholland AJ, Steves BA, Buick JM, Cosgrove JA and Collins MW
Proceedings of the fourth International Congress on Progress in Bioengineering and the Vascular Endothelium - Basic and Clinical Aspects, Pisa-San Romano (Italy), Biomedicine and Pharmacotherapy, 2002, 56, 346-347 - Fractal morphology of deposits in heat exchangers and their physical properties
- Gomatam J and Mulholland AJ
Fractals, 2001, 9(1), 31-50 - The Schrodinger equation on helical manifolds: bound states
- Gomatam J and Mulholland AJ
P. Dyn. Syst. Appl., 2001, 3, 209-216 - Thermal properties of heat exchanger fouling
- Mulholland AJ and Gomatam J
Proceedings of XIX Congresso Nazionale Sulla Trasmissione Del Calore, 2001, 149-153 - Wave propagation in 0-3/3-3 connectivity composites with complex microstructure
- Alvarez-Arenas TEG, Mulholland AJ, Gomatam J and Hayward G
Ultrasonics, 2000, 38(9), 897-907 - Ultrasonic waves in heterogeneous media
- Mulholland AJ
Eur. consortium Math. Ind. newsletter, 2000, 27, 13-16 - Modelling high temperature salt condensation, Fick and Soret diffusion effects
- Mulholland AJ, Gomatam J and Jenkins A
Int. J. Therm. Sci., 1999, 38, 436-441 - A renormalisation approach to wave propagation in 0-3/3-3 connectivity composites
- Mulholland AJ, Gomez Alvarez-Arenas T, Hayward G and Gomatam J
Proceedings of the 1999 IEEE International Ultrasonics Symposium, 1999, 2, 961-964 - Dynamics of patterns and forms in life and physical sciences
- Mulholland AJ and Gomatam J
In: Advances in systems research and cybernetics (eds) Lasker GE and Andonian G, IIAS-Publications ISBN0921836732, 1999, 25-29 - Heat transfer of high temperature fouling in combustion chambers
- Mulholland AJ and Gomatam J
Mathematics of Heat Transfer (Tupholme GE and Wood AS eds), 1998, 251-258 - Calculation of chemical and phase equilibria via simulated annealing
- Reynolds D, Mulholland AJ and Gomatam J
J. Mathematical Chemistry, 1997, 22(1), 25-27 - Knotted reaction-diffusion waves rotating on a torus: The eikonal approximation
- Mulholland AJ and Gomatam J
Research in Progress, by Lasker GE (ed), 1997, IV, 35-40 - Integrated modelling of process heat transfer with combustion and fouling
- Isdale JD, Mercer P, Grillot JM, Mulholland AJ and Gomatam J
Applied Thermal Engineering, 1997, 17(8-10), 751-762 - The eikonal approximation to excitable reaction-diffusion systems: Travelling non-planar wave fronts on the plane
- Mulholland AJ and Gomatam J
Physica D, 1996, 89, 329-345 - Diffraction of spherical waves by a toroidal obstacle: eikonal approach to excitable reaction-diffusion systems
- Mulholland AJ, Gomatam J and McQuillan P
Proceedings of the Royal Society - Series A, 1996, 452, 2785-2799 - The eikonal approach to excitable reaction-diffusion equations in multiply-connected domains: Existence and stability of solutions
- Mulholland AJ and Gomatam J
Proceedings of dynamic systems and applications, 1996, 2, 405-412 - Pattern formation in excitable reaction-diffusion systems: The eikonal analysis on the torus
- Mulholland AJ and Gomatam J
J. Biological Systems, 1995, 3(4), 1013-1019
View Tony Mulholland's Publications.