Mathematical and Statistical Sciences

Dr Martin Meere

MSc, PhD

Biography

I am applied mathematician working in the School of Mathematics, Statistics & Applied Mathematics. I have a particular interest in modelling systems where diffusive mechanisms play an important role. My initial research interests were in the area of solid state diffusion, with particular reference to diffusion in compound semiconductors. Latterly I have developed an interest in the mathematical modelling of drug delivery and some systems in molecular biology.

Research Interests

The mathematics of diffusion, modelling diffusion in solids, mathematical modelling of drug release systems, developing an interest in modelling systems in molecular biology.

Research Projects

	Project	Start Date	End Date
	Math. Modelling of Diffusion in Poly. Stent Coat.	01-OCT-08	31-OCT-13

Peer Reviewed Journals

	Year	Publication
	(2017)	'Modelling Drug Release from Polymer-Free Coronary Stents with Microporous Surfaces' Tuoi T.N. Vo, Sarah Morgan, Christopher McCormick, Sean McGinty, Sean McKee, Martin Meere (2017) 'Modelling Drug Release from Polymer-Free Coronary Stents with Microporous Surfaces'. International Journal Of Pharmaceutics, [DOI] [Details]
	(2017)	'Modelling chemistry and biology after implantation of a drug eluting stent. Part I: Drug Transport' Tuoi Vo, William Lee, Adam Peddle, Martin Meere (2017) 'Modelling chemistry and biology after implantation of a drug eluting stent. Part I: Drug Transport'. Mathematical Biosciences and Engineering, 14 (2):491-509 [DOI] [Details]
	(2016)	'A Mathematical Model of Aurora B Activity in Prophase and Metaphase' Kevin Doherty, Martin Meere, Petri T. Piiroinen (2016) 'A Mathematical Model of Aurora B Activity in Prophase and Metaphase'. Mathematical Biosciences, [DOI] [Details]
	(2015)	'Some design considerations for polymer-free drug-eluting stents: a mathematical approach' Sean McGinty, Tuoi T.N. Vo, Martin Meere, Sean McKee, Christopher McCormick (2015) 'Some design considerations for polymer-free drug-eluting stents: a mathematical approach'. Acta Biomaterialia, [DOI] [ARAN Link] [Details]
	(2015)	'An experimental and theoretical assessment of quantum dot cytotoxicity' Olga Gladkovskaya, Paul Greaney, Yurii K Gunʼko, Gerard M Oʼconnor, Martin Meere, Yury Rochev (2015) 'An experimental and theoretical assessment of quantum dot cytotoxicity'. Royal Society Of Chemistry, [DOI] [Details]
	(2015)	'A mathematical model for the release of peptide-binding drugs from affinity hydrogels' TUOI T. N. VO, M.G. MEERE (2015) 'A mathematical model for the release of peptide-binding drugs from affinity hydrogels'. Cellular and Molecular Bioengineering, [DOI] [ARAN Link] [Details]
	(2015)	'Some Mathematical Models of Intermolecular Autophosphorylation' Kevin Doherty, Martin Meere, Petri T. Piiroinen (2015) 'Some Mathematical Models of Intermolecular Autophosphorylation'. Journal Of Theoretical Biology, [DOI] [Details]
	(2015)	'The mathematical modelling of affinity-based drug delivery systems' Tuoi Vo, Martin Meere (2015) 'The mathematical modelling of affinity-based drug delivery systems'. Journal of Coupled Systems and Multiscale Dynamics, 3 (1):5-22 [DOI] [Details]
	(2014)	'A mathematical model of CENP-A incorporation in mammalian centromeres' Kevin Doherty, Martin Meere, Petri T. Piiroinen (2014) 'A mathematical model of CENP-A incorporation in mammalian centromeres'. Mathematical Biosciences, [DOI] [Details]
	(2014)	'A thermally activated drug delivery system based on a thermoresponsive polymer and a cooling device: a theoretical assessment' Tuoi Vo T.N., Rongbing Yang, Fawaz Aldabbagh, William Carroll, Martin Meere & Yury Rochev (2014) 'A thermally activated drug delivery system based on a thermoresponsive polymer and a cooling device: a theoretical assessment'. Journal of Thermal Science and Engineering Applications, 6 (2) [DOI] [Details]
	(2013)	'The wave excitation forces on a truncated vertical cylinder in water of infinite depth' William Finnegan, Martin Meere, Jamie Goggins (2013) 'The wave excitation forces on a truncated vertical cylinder in water of infinite depth'. Journal Of Fluids And Structures, 40 :201-213 [DOI] [Details]
	(2013)	'Minimizing the passive release of heparin-binding growth factors from an affinity-based delivery system' Vo, TTN,Meere, MG (2013) 'Minimizing the passive release of heparin-binding growth factors from an affinity-based delivery system'. Mathematical Medicine And Biology-A Journal Of The Ima, 30 :357-382 [DOI] [Details]
	(2012)	'A mathematical model for pulsatile release: Controlled release of rhodamine B from UV-crosslinked thermoresponsive thin films' Rongbing Yang, Tuoi Vo T. N., Alexander V. Gorelov, Fawaz Aldabbagh, William M. Carroll, Martin G. Meere, Yury Rochev (2012) 'A mathematical model for pulsatile release: Controlled release of rhodamine B from UV-crosslinked thermoresponsive thin films'. International Journal Of Pharmaceutics, 427 :320-327 [DOI] [Details]
	(2011)	'Diffusion in a strained cubic crystal' Meere, MG,King, JR (2011) 'Diffusion in a strained cubic crystal'. Journal Of Engineering Mathematics, 69 :1-23 [DOI] [Details]
	(2005)	'Impurity diffusion through strained semiconductors' Allen, ED,King, JR,Meere, MG (2005) 'Impurity diffusion through strained semiconductors'. Quarterly Journal Of Mechanics And Applied Mathematics, 58 :615-643 [DOI] [Details]
	(2004)	'The dissociative diffusion mechanism with charge effects - II: Two-dimensional in-diffusion' King, JR,Meere, MG (2004) 'The dissociative diffusion mechanism with charge effects - II: Two-dimensional in-diffusion'. Quarterly Journal Of Mechanics And Applied Mathematics, 57 :19-58 [Details]
	(2002)	'Modelling gas motion in a rapid-compression machine' Meere, MG,Gleeson, B,Simmie, JM (2002) 'Modelling gas motion in a rapid-compression machine'. Journal Of Engineering Mathematics, 44 :57-82 [Details]
	(2002)	'A combined dissociative and kick-out diffusion model with charge effects, part II, out-diffusion' King, J.R., Meere, M.G. (2002) 'A combined dissociative and kick-out diffusion model with charge effects, part II, out-diffusion'. Mathematical Proceedings of the Royal Irish Academy, 102A :79-105 [Details]
	(2002)	'A combined dissociative and kick-out diffusion model with charge effects. I. In-diffusion' King, J. R. and Meere, M. G. (2002) 'A combined dissociative and kick-out diffusion model with charge effects. I. In-diffusion'. Math. Proc. R. Ir. Acad, 102A (1):49-78 [DOI] [Details]
	(2002)	'A combined dissociative and kick-out diffusion model with charge effects, part I, in-diffusion' King, J.R., Meere, M.G. (2002) 'A combined dissociative and kick-out diffusion model with charge effects, part I, in-diffusion'. Mathematical Proceedings of the Royal Irish Academy, 102A :49-78 [Details]
	(2002)	'A combined dissociative and kick-out diffusion model with charge effects. II. Out-diffusion' King, J. R. and Meere, M. G. (2002) 'A combined dissociative and kick-out diffusion model with charge effects. II. Out-diffusion'. Math. Proc. R. Ir. Acad, 102A (1):79-105 [DOI] [Details]
	(2002)	'Modelling gas motion in a rapid-compression machine' Meere, M.G., Gleeson, B., Simmie, J.M. (2002) 'Modelling gas motion in a rapid-compression machine'. Journal of Engineering Mathematics, 44 (1):57-82 [Details]
	(2001)	'The dissociative diffusion mechanism with charge effects I: One-dimensional in-diffusion' Meere, MG,King, JR (2001) 'The dissociative diffusion mechanism with charge effects I: One-dimensional in-diffusion'. Quarterly Journal Of Mechanics And Applied Mathematics, 54 :469-500 [Details]
	(2001)	'The role of multiple charge states in zinc diffusion in gallium arsenide' King, J.R., Meere, M.G. (2001) 'The role of multiple charge states in zinc diffusion in gallium arsenide'. Mathematical Proceedings of the Royal Irish Academy, 101A :95-110 [Details]
	(1998)	'An analysis of a kick-out diffusion mechanism with charge effects' MEERE, M.G. et al. (1998) 'An analysis of a kick-out diffusion mechanism with charge effects'. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 51 :515-541 [Details]
	(1998)	'An analysis of a kick-out diffusion mechanism with charge effects' Meere, MG (1998) 'An analysis of a kick-out diffusion mechanism with charge effects'. Quarterly Journal Of Mechanics And Applied Mathematics, 51 :515-541 [Details]
	(1997)	'Some moving-boundary problems arising from a model for solid-state diffusion' King, JR,Meere, MG (1997) 'Some moving-boundary problems arising from a model for solid-state diffusion'. Journal Of Engineering Mathematics, 31 :1-27 [Details]
	(1996)	'Asymptotic analysis of a combined dissociative and kick-out diffusion mechanism' King, JR,Meere, MG (1996) 'Asymptotic analysis of a combined dissociative and kick-out diffusion mechanism'. Ima Journal Of Applied Mathematics, 56 :33-63 [Details]
	(1995)	'Asymptotic analysis of some two-dimensional diffusion problems' Meere, M. G. and King, J. R. and Rogers, T. G. (1995) 'Asymptotic analysis of some two-dimensional diffusion problems'. Proc. Roy. Soc. London Ser. A, 448 (1933):213-236 [DOI] [Details]
	(1995)	'An asymptotic analysis of the kick-out diffusion mechanism' Meere, M. G. and King, J. R. (1995) 'An asymptotic analysis of the kick-out diffusion mechanism'. Z. Angew. Math. Phys, 46 (4):546-565 [DOI] [Details]
	(1994)	'Asymptotic analysis of a model for substitutional-interstitial diffusion' Meere, M. G. and King, J. R. and Rogers, T. G. (1994) 'Asymptotic analysis of a model for substitutional-interstitial diffusion'. Z. Angew. Math. Phys, 45 (5):763-783 [DOI] [Details]
	(1992)	'Asymptotic analysis of a non-linear model for substitutional diffusion in semiconductors' King, J.R., Meere, M.G., Rogers, T.G. (1992) 'Asymptotic analysis of a non-linear model for substitutional diffusion in semiconductors'. Zeitschrift für angewandte Mathematik und Physik, 43 :505-525 [Details]
	(1990)	'Estimation of parameters in numerical modelling of non-linear diffusion in semiconductors' King, J.R., Meere, M.G., Rogers, T.G. (1990) 'Estimation of parameters in numerical modelling of non-linear diffusion in semiconductors'. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 3 :99-110 [Details]

Conference Publications

	Year	Publication
	(2018)	*Equadiff 2017* Martin Meere, Sean McGinty, Giuseppe Pontrelli (2018) Mathematically modelling the dissolution of solid dispersions . In: Karol Mikula, Daniel Ševčovič, Jozef Urbán eds. Equadiff 2017 Bratislava, Slovakia, , 24-JUL-18 - 28-JUL-18 , pp.341-348 [Details]
	(2012)	*Progress in Industrial Mathematics at ECMI 2010* Vo Thi Ngoc Tuoi, Rongbing Yang, Yury Rochev, Martin Meere (2012) A Mathematical Model for Drug Delivery . In: Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M eds. Progress in Industrial Mathematics at ECMI 2010 Wuppertal Germany, , 26-JUL-10 - 30-JUL-10 , pp.521-528 [Details]
	(2011)	*World Renewable Energy Congress 2011* William Finnegan, Martin Meere & Jamie Goggins (2011) The Wave Excitation Forces on a Floating Vertical Cylinder in Water of Infinite Depth . In: Moshfegh, Bahram eds. World Renewable Energy Congress 2011 Linköping, Sweden, , 08-MAY-11 - 13-MAY-11 , pp.2175-2182 [DOI] [Details]

Other Journals

	Year	Publication
	(2010)	'Modeling of Autothermal Thermophylic Aerobic Digestion' J. Rojas, M. Burke, M. Chapwanya, K. Doherty, I. Hewitt, A. Korobeinikov, M. Meere, S. McCarthy, M. O’Brien, Tuoi Vo T. N., H. Winstanley, T. Zhelev (2010) 'Modeling of Autothermal Thermophylic Aerobic Digestion' Mathematics-in-industry case studies, 2 :34-63. [Details]

Meeting

	Year	Publication
	(2013)	Minimizing passive release of growth factors from a heparin-based delivery system. Vo, TNT,Meere, MG (2013) Minimizing passive release of growth factors from a heparin-based delivery system. Meeting [Details]

Reviews

	Year	Publication
	(2015)	The mathematical modelling of affinity-based drug delivery systems. Vo, TTN,Meere, MG (2015) The mathematical modelling of affinity-based drug delivery systems. Reviews [DOI] [Details]