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Professor David Wall

Contact

Department: Mathematics and Statistics

Email: david.wall@canterbury.ac.nz

Office: Jack Erskine 501

Language: English

About
Research / Creative works

Fields of Research

  • Mathematical biology
  • Inverse problems
  • Mathematical wave theory
  • Integral and differential equations
  • Applications of numerical techniques to dynamical systems and chaos theory
  • Computational mathematics

Researcher Summary

David Wall has an international reputation on biomathematics, inverse problems, and wave propagation. He has extensive research experience in the general area of applied mathematics and in particular in the specializations: biomathematics, mathematical modeling, dynamical systems, and mathematical wave theory. He is an associate Director of the Biomathematics Research Centre, is a member of the Bioengineering Research Centre both at the University of Canterbury, and is currently on the editorial board to two international journals. He has authored over seventy-three peer reviewed international publications and given many invited conference talks.

I am an active member of several international and national research collaborations, and have been involved in the organization of two international conferences. I have held several funded visiting research positions at international research institutes. Recognition of my research in the application of mathematics to biology is evidenced by my having been awarded the contestable visiting appointment in 2006 for the "150th Jubilee Professorship" at Chalmers University of Technology, Gothenburg Sweden, for research in bioengineering. Subsequent to this, I was elected a Foreign Member of the Royal Society of Arts and Sciences in Göteborg, Sweden. I have successfully mentored four postdoctoral fellows and have also supervised, or are currently supervising, 13 graduate students in my areas of expertise.

Subject Area: Disciplines

  • Mathematics: Applied Mathematics; Biomathematics

Resources

  • Staff webpage

Research/Scholarly/Creative Works

Journal Articles
  • Thavanayagam E. and Wall DJN. (2018) Modeling of spatial dynamical silence in the macro arterial domain. SIAM Journal on Applied Dynamical Systems 17(3): 2176-2204. http://dx.doi.org/10.1137/17M1141333.
  • Evans JJ., Wilkinson TM. and Wall DJN. (2013) A two-pathway mathematical model of the LH response to GnRH that predicts self-priming. International Journal of Endocrinology 2013 410348: 10pp. http://dx.doi.org/10.1155/2013/410348.
  • Daukste L., Basse B., Baguley BC. and Wall DJN. (2012) Mathematical Determination of Cell Population Doubling Times for Multiple Cell Lines. Bulletin of Mathematical Biology 74(10): 2510-2534. http://dx.doi.org/10.1007/s11538-012-9764-7.
  • Daukste L., Basse B., Baguley BC. and Wall DJN. (2011) Corrigendum to "Using a stem cell and progeny model to illustrate the relationship between cell cycle times of in vivo human tumour cell tissue populations, in vitro primary cultures and the cell lines derived from them" [J. Theor. Biol. 260 (2009) 563-571]. Journal of Theoretical Biology 289(1): 269. http://dx.doi.org/10.1016/j.jtbi.2011.09.001.
  • Olsson P. and Wall DJN. (2011) Partial elastodynamic cloaking by means of fiber-reinforced composities. Inverse Problems 27(4): 45010. http://dx.doi.org/10.1088/0266-5611/27/4/045010.
  • Shaikh M., Wall DJN. and David T. (2011) Macro-scale phenomena of arterial coupled cells: a Massively Parallel simulation. Journal of the Royal Society Interface 9(70): 972-987. http://dx.doi.org/10.1098/rsif.2011.0453.
  • Wall DJN., Olsson P. and van Houten EEW. (2011) On an Inverse Problem from Magnetic Resonance Elastic Imaging. SIAM Journal on Applied Mathematics 71(5): 1578-1605. http://dx.doi.org/10.1137/110832082.
  • Begg R., Wall DJN. and Wake GC. (2010) On a multicompartment age-distribution model of cell growth. IMA Journal of Applied Mathematics 75(6): 905-931. http://dx.doi.org/10.1093/imamat/hxq010.
  • Daukste L., Basse B., Baguley BC. and Wall DJN. (2009) Using a stem cell and progeny model to illustrate the relationship between cell cycle times of in vivo human tumour cell tissue populations, in vitro primary cultures and the cell lines derived from them. Journal of Theoretical Biology 260(4): 563-571. http://dx.doi.org/10.1016/j.jtbi.2009.06.019.
  • Begg R., Wall DJN. and Wake GC. (2008) On the stability of steady size-distributions for a cell-growth process with dispersion. Differential and Integral Equations 21(1-2): 1-24.
  • Begg RE., Wall DJN. and Wake GC. (2008) The steady-states of a multi-compartment, age-size distribution model of cell-growth. European Journal of Applied Mathematics 19(4): 435-458.
  • Plank MJ., Wall DJN. and David T. (2007) The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis. Mathematical Biosciences 207(1): 26-39. http://dx.doi.org/10.1016/j.mbs.2006.08.017.
  • Plank MJ., Comerford A., David T. and Wall DJN. (2006) Concentration of blood-borne agonists at the endothelium. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462(2066): 671-688. http://dx.doi.org/10.1098/rspa.2005.1591.
  • Plank MJ., Wall DJN. and David T. (2006) Atherosclerosis and calcium signalling in endothelial cells. Progress in Biophysics and Molecular Biology 91(3): 287-313. http://dx.doi.org/10.1016/j.pbiomolbio.2005.07.005.
  • Basse B., Baguley BC., Marshall ES., Wake GC. and Wall DJN. (2005) Erratum: Modelling the flow cytometric data obtained from unperturbed human tumour cell lines: Parameter fitting and comparison (Bulletin of Mathematical Biology (2005) 67 (815-830) PII: S0092-8240(04)00116-8 and DOI: 10.1016/j.bulm.2004.10.003. Bulletin of Mathematical Biology 67(5): 1153. http://dx.doi.org/10.1016/j.bulm.2005.06.001.
  • Basse B., Baguley BC., Marshall ES., Wake GC. and Wall DJN. (2005) Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison. Bulletin of Mathematical Biology 67(4): 815-830.
  • Begg R., Wall DJN. and Wake GC. (2005) On a functional equation model of transient cell growth. Mathematical Medicine and Biology 22(4): 371-390.
  • Sjoberg D., Engstrom C., Kristensson G., Wall DJN. and Wellander N. (2005) A Floquet-Bloch Decomposition of Maxwell's Equations Applied to Homogenization. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 4(1): 149-171. http://dx.doi.org/10.1137/040607034.
  • Basse B., Baguley BC., Marshall ES., Joseph WR., van Brunt B., Wake G. and Wall DJN. (2004) Modelling Cell Death in Human Tumour Cell Lines Exposed to the Anticancer Drug Paclitaxel. Journal of Mathematical Biology 49(4): 329-357.
  • Basse B., Baguley BC., Marshall ES., Wake GC. and Wall DJN. (2004) Modelling cell population growth with applications to cancer therapy in human tumour cell lines. Progress in Biophysics and Molecular Biology 85(2-3): 353-368.
  • Basse B., Wake GC., Wall DJN. and van Brunt B. (2004) On a cell-growth model for plankton. Mathematical Medicine and Biology 21(1): 49-61.
  • Shorten PR. and Wall DJN. (2004) Signal Restoration After Transmission Through an Advective and Diffusive Medium. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 460(2043): 821-846.
  • Basse B., Baguley BC., Marshall ES., Joseph WR., van Brunt B., Wake G. and Wall DJN. (2003) A mathematical model for analysis of the cell cycle in cell lines derived from human tumors. Journal of Mathematical Biology 47(4): 295-312.
  • Shorten PR. and Wall DJN. (2001) A model of dispersion in perifusion systems. Journal of Theoretical Medicine 3: 191-211.
  • Shorten PR. and Wall DJN. (2001) Fluid Velocity Profile Reconstruction for Non-Newtonian Shear Dispersive Flow. Journal of Applied Mathematics & Decision Sciences 5(2): 87-104.
  • Shorten PR. and Wall DJN. (2000) A Hodgkin-Huxley Model Exhibiting Bursting Oscillations. Bulletin of Mathematical Biology 62(4): 695-715.
  • Shorten PR., Robson AB., McKinnon AE. and Wall DJN. (2000) CRH-induced Electrical Activity and Calcium Signalling in Pituitary Corticotrophs. Journal of Theoretical Biology 206(3): 395-405.
  • Billger DVJ. and Wall DJN. (1999) A time domain algorithm for the reflection of waves on a viscoelastically supported Timoshenko beam. Quarterly Journal of Mechanics and Applied Mathematics 52: 211-236.
  • Wall DJN. and Lundstedt J. (1999) Inverse source problems involving the one-way wave equation: Medium function reconstruction. Mathematics and Computers in Simulation 50: 489-510.
  • Kristensson G. and Wall DJN. (1998) Direct and inverse scattering for transient electromagnetic waves in nonlinear media. Inverse Problems 14: 113-137.
  • Shorten PR. and Wall DJN. (1998) Signal restoration for a mass transport problem involving shear dispersion. Inverse Problems 14: 1021-1032.
  • Wall DJN. and Lundstedt J. (1998) On inverse source problems for the one-way wave equation. Wave Motion 27: 55-77.
  • Connolly TJ. and Wall DJN. (1997) On some inverse problems for a nonlinear transport equation. Inverse Problems 13(2): 283-295.
  • Takenaka T., Harada H., Tanaka M. and Wall DJN. (1997) Reconstruction algorithm of the refractive index of a cylindrical object from the intensity measurements of the total field. Microwave and Optical Techn. Letters 14: 182-188.
  • Wall DJN. and Olsson P. (1997) Invariant imbedding and hyperbolic heat waves. Journal of Mathematical Physics 38(3): 1723-1749.
  • Åberg I., Kristensson G. and Wall DJN. (1996) Transient Waves in Non-stationary Media. Journal of Mathematical Physics 37(5): 2229-2252.
  • Åberg I., Kristensson G. and Wall DJN. (1995) Propagation of transient electromagnetic waves in time-varying media - Direct and inverse scattering problems. Inverse Problems 11: 29-49.
  • Harada H., Wall DJN., Takenaka T. and Tanaka M. (1995) Conjugate Gradient Method Applied to an Inverse scattering Problem. IEEE Trans. Antennas and Propagation 43(8): 784-792.
  • Wall DJN. (1991) On some differential equation equations arising in time domain scattering problems for a dissipative wave equation. Transport Theory and Statistical Physics 20: 29-54.
  • Connolly TJ. and Wall DJN. (1990) On Fréchet Differentiability of some Non-Linear Operators occurring in Inverse Problems; an Implicit Function Theorem Approach. Inverse Problems 6: 949-966.
  • Wall DJN. (1990) Uniqueness Theorems for the inverse problem of elastodynamic boundary scattering. IMA Journal of Applied Mathematics 44: 221-241.
  • Murch RD., Tan DGH. and Wall DJN. (1989) Erratum: Newton-Kantorovich method applied to two-dimensional inverse scattering for an exterior Helmholtz problem (Inverse Problems (1988) 4 (1121-1123)). Inverse Problems 5(6): 1173. http://dx.doi.org/10.1088/0266-5611/5/6/522.
  • Connolly TJ. and Wall DJN. (1988) On an inverse problem, with boundary measurements, for the steady state diffusion equation. Inverse Problems 4: 995-1012.
  • Tan DGH., Murch R. and Wall DJN. (1988) Newton-Kantorovich method applied to two dimensional inverse scattering for an exterior Helmholtz equation. Inverse Problems 4: 1117-1128.
  • Wall DJN. (1988) A uniqueness theorem for the reduced wave equation governing the acoustic wave in a heterogeneous medium. Quarterly Journal of Mechanics and Applied Mathematics : 141-153.
  • Bates RHT., Yeo TS. and Wall DJN. (1985) Towards an algorithm for dielectric-edge diffraction coefficients. IEE Proceedings - Part H: Microwaves, Optics and Antennas 132: 461-467.
  • Yeo TS., Wall DJN. and Bates RHT. (1985) Diffraction by a Prism. Journal of the Optical Society of America A - Optics 2(6): 964-970.
  • Lakhtukia A., Varadan VK., Varadan VV. and Wall DJN. (1984) The T-matrix approach for scattering by a traction-free periodic rough crack: SH waves. Journal of the Acoustical Society of America 71: 1839-1846.
  • Varadan VV., Wall DJN., Tsao SJ. and Varadan VK. (1982) Elastic wave scattering from surface breaking cylindrical cracks: SH waves. Journal of the Acoustical Society of America 71: 1384-1390.
  • Wall DJN., Varadan VV. and Varadan VK. (1981) Dynamic stress concentrations of cylindrical cavities with sharp and smooth boundaries: I SH waves. Wave Motion 3: 201-213.
  • Wall DJN., Varadan VV. and Varadan VK. (1981) Dynamic stress concentrations of cylindrical cavities with sharp and smooth boundaries: I. SH waves. Wave Motion 3(2): 203-213. http://dx.doi.org/10.1016/0165-2125(81)90006-8.
  • O'Brien DM. and Wall DJN. (1980) Radiation from a whip antenna mounted on a sphere. Journal of Physics D: Applied Physics 13: 2185-2215.
  • Wall DJN. (1978) Circularly symmetric Green tensors for the harmonic vector wave equation in spheroidal coordinate systems. Journal of Physics A: Mathematical and General 11(4): 749-757. http://dx.doi.org/10.1088/0305-4470/11/4/016.
  • Wall DJN. (1978) Circularly symmetric Green's tensors for the harmonic vector wave equation. Journal of Physics A: Mathematical and General 11: 749-757.
  • Bates RHT. and Wall DJN. (1977) Null field approach to scalar diffraction. I. General Method. Philosophical Transactions of the Royal Society London A 287: 45-78.
  • Bates RHT. and Wall DJN. (1977) Null field approach to scalar diffraction. II. Approximate methods. Philosophical Transactions of the Royal Society London A 287: 79-95.
  • Bates RHT. and Wall DJN. (1977) Null field approach to scalar diffraction. III. Inverse methods. Philosophical Transactions of the Royal Society London A 287: 97-114.
  • Bates RHT. and Wall DJN. (1976) Chandrasekhar Transformations Improve Convergence of Scattering from Linearly Stratified Media. IEEE Transractions Antennas and Propagation AP-24: 251-253.
  • Wall DJN. (1975) Surface Currents on Perfectly Conducting Elliptic Cylinders. IEEE Transactions Antennas and Propagation AP-23: 301-302.
Edited Volumes
  • Field J (Ed.) (1997) Calcium Waves and Cellular Communication. Christchurch: University of Canterbury. 39pp.
Chapters
  • Plank MJ., Comerford A., Wall DJN. and David T. (2007) Modelling the Early Stages of Atherosclerosis. In Deutsch A; Brusch L; Byrne H; de Vries G; Herzel H (Ed.), Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis: 263-274. Boston: Birkhauser.
  • Wall DJN. (1999) Signal restoration after transmission through a diffusive medium. In Gill AW; Noye BJ; Teubner MD (Ed.), Computational Techniques and Applications, CTAC 97: 711-718. Singapore: World Scientific Publishers.
  • Wall DJN., Shanks AT. and Bodger PS. (1999) Electro-permeabilization of a prolate spheroidal model of biological cells. In Karlsson A; Kristensson G (Ed.), Festskrift Till Staffan Ström: 245-266. Lund: Private Publication.
  • Wall DJN. (1992) On the numerical solution of a functional differential equation pertaining to a wave equation. In Corones JP; Kristensson G; Nelson P; Seth DL (Ed.), Invariant Imbedding and Inverse Problems: 169-186. Philadephia: SIAM.
  • Wall DJN. (1980) Methods of overcoming numerical instabilities associated with the T-matrix method. In Varadan VK; Varadan VV (Ed.), Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-Matrix Approach: 269-286. New York: Pergamon Press.
Reports
  • Basse B., Wake GC. and Wall DJN. (2002) A Mathematical Model for Analysis of the Cell Cycle in Human Tumours.1-31.
  • Connolly TJ. and Wall DJN. (2002) Reconstruction of a nonlinear source term in a semi-linear wave equation.Commissioned by UNKNOWN. 28pp.
  • Shorten P. and Wall DJN. (2002) Signal Restoration after transmission through an advective and diffusive medium.Commissioned by Report No. UCDMS2002/9, Dept. of Mathematics & Statistics, University of Canterbury. 32pp.
  • Shorten P., LeBeau A., Robson AB., McKinnon AE. and Wall DJN. (1999) A role of the endoplasmic recticulum in a mathematical model of corticotroph.Commissioned by Department of Mathematics & Statistics, University of Canterbury, Christchurch, New Zealand. 21pp.
  • Wall DJN., Shanks AT. and Bodger PS. (1999) Electro-permeabilization of a prolate spheroidal model of biological cells.Commissioned by Research Report: Department of Mathematics & Statistics, 185/1-24/. 24pp.
  • Billger DVJ. and Wall DJN. (1998) Time domain algorithm for reflection of waves on a viscoelastically supported Timoshenko beam. In Doktorsavhandlingar vid Chalmers Tekniska Hogskola.
Conference Contributions - Published
  • Lonbani ZB., Wall D., Paulsen K., Weaver J., Watts R. and Van Houten E. (2010) Magnetic resonance elastography artifacts due to actuation systems. In International Conference on Bioinformatics, Computational Biology, Genomics and Chemoinformatics 2010, BCBGC 2010: 61-69.
  • Shaikh MA., David T. and Wall DJN. (2010) Spatial Effects of Oscillations in Coupled Cells. In Proceedings: 6pp.
  • Komarova SV., Lopez M., Miura RM., Qazi S. and Wall DJN. (2009) Mediators of Mechanotransduction Between Bone Cells. In Proceedings of the First OCCAM-Fields-MITACS Biomedical Problem Solving Workshop: 31-38.
  • Shaikh MA., David T. and Wall DJN. (2009) Effects of spatially varying agonist concentration on calcium signalling in coupled vascular endothelial and smooth muscle cells. In 18th World IMACS Congress and MODSIM 2009 - International Congress on Modelling and Simulation: Interfacing Modelling and Simulation with Mathematical and Computational Sciences, Proceedings: 627-633.
  • Shaikh MA., David T. and Wall DJN. (2009) Effects of spatially varying agonist concentration on calcium signalling in coupled vascular endothelial and smooth muscle cells. In Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation: 627-633.
  • Plank MJ., Comerford A., David T. and Wall DJN. (2005) Modelling the localisation of cardiovascular disease. In Proceedings of the 12th International Conference on Biomedical Engineering (ICBME 2005): 1B1-1B1.
  • Engström C., Kristensson G., Sjöberg D., Wall DJL. and Wellander N. (2003) Homogenization of the Maxwell Equations Using Floquet-Bloch Decomposition. In Proceedings of the WAVES 2003 Conference: 412-416.
  • Wall DJN. (1999) Designing for BLAT. In Poceedings of New Zealand Mathematics Colloquium: 26.
  • Sjoberg D., Kristensson G. and Wall DJN. (1998) Direct and inverse scattering for transient electromagnetic waves in a nonlinear media. In Proceedings of International Union of Radio Science (URSI) International Symposium on Electromagnetic Theory, Commission B II: 587-589.
  • Wall DJN. (1998) Inverse problems associated with simple nonlinear wave equations. In Proceedings of Mathematical and Numerical Aspects of Ware Propagation, SIAM: 254-258.
  • Åberg I., Kristensson G. and Wall DJN. (1995) Direct and Inverse Scattering Problems in Non-Stationary Media. In Proceedings of International Union of Radio Science (URSI) International Symposium on Electromagnetic Theory: 101.
  • Harada H., Tanaka M., Takenaka T. and Wall DJN. (1995) An Efficient Iterative Technique for Reconstructing Three-dimensional dielectric objects. In The Digests of 4th Japanese-Polish Joint Seminar on Electromagnetic Phenomena Applied to Technology: 116-119.
  • Tanaka M., Hiraoka T., Takenaka T., Harada H., Wall DJN. and Furuoku T. (1995) Electromagnetic Detection of Cylindrical Buried Objects. In The Digests of 4th Japanese-Polish Joint Seminar on Electromagnetic Phenomena Applied to Technology: 112-115.
  • Åberg I., Kristensson G. and Wall DJN. (1994) Propagation of transient electromagnetic waves in time-varying media. In Proceedings of Progress In Electromagnetic Research Symposium (PIERS): 1023-1027.
  • Takenaka T., Wall DJN., Tanaka M. and Harada H. (1994) Intensity-only reconstruction algorithm for diffraction tomography. In Proceedings of IEEE Antennas and Propagation Society International Symposium 3: 2284-2287.
  • Tanaka M., Takenaka T., Harada H. and Wall DJN. (1994) An Iterative Inversion Algorithm for the Reconstruction of Buried Dielectric Objects. In Proceedings of IEEE Antennas and Propagation Society International Symposium 3: 1640-1643.
  • Takenaka T., Wall DJN., Harada H. and Tanaka M. (1993) Application of the conjugate gradient algorithm applied to Inverse Scattering for Penetrable Objects. In Proceedings of IEEE Antennas and Propagation Society International Symposium 1: 496-499.
  • Takenaka T., Wall DJN., Tanaka M. and Harada H. (1993) Reconstruction of Dielectric Constant of Cylindrical Object from Bistatic Scattering Width. In Proceedings of Progress In Electromagnetic Research Symposium (PIERS): 261-264.
  • Bates RHT., Yeo TS. and Wall DJN. (1985) Inverse source approach to inverse scattering. In Proceedings of the International Society for Optical Engineering 558: 21-24.
  • Connolly TJ., Wall DJN. and Bates RHT. (1985) Inverse problems and the Newton-Kantorovich method. In Proceedings of the International Society for Optical Engineering 558: 30-34.
  • Wall DJN., Yeo TS. and Bates RHT. (1985) Inverse scattering and the null field method. In Proceedings of the International Society for Optical Engineering 558: 25-29.
  • Varadan VV., Varadan VK. and Wall DJN. (1981) Elastic Wave Scattering From Multiple and Odd-Shaped Flaws. In DARPA/AFWAL Review of Progress in Quantitative NDE: 276-286.
  • Wall DJN. (1978) The null field approach to the antenna boundary value problem. In IEE Proceedings 169: 174-178.
Conference Contributions - Other
  • Wall DJN., Daukste L. and Baguley B. (2011) Mathematical determination of cell population cycle times for multiple cell lines via a population model. Casablanca, Morocco: 2011 Casablanca International Workshop in Mathematical Biology, 20-24 Jun 2011.
  • Wall D. (2010) Eigenvalue problems from population modelling of human tumour cell lines. Queenstown, New Zealand: Australia and New Zealand Industrial and Applied Mathematics 2010 (ANZIAM), 31 Jan-4 Feb 2010.
  • Wall DJN. (2010) From electromagnetism to biology; a career in mathematics. Akaroa, New Zealand: The Bates Reunion, 9-11 Apr 2010.
  • Wall DJN. (2010) Inverse Problems, Homogenisation and Invisibility. University of Cantebury, Christchurch, New Zealand: New Zealand Mathematics and Statistics Conference 2010, 22-25 Nov 2010.
  • Wall DJN. (2008) A multi-compartment, two population, age-distribution model of cancer cell growth; transfer from in vivo to in vitro. Christchurch, New Zealand: 7th Australia-New Zealand Mathematics Convention (ANZMC2008), 8-12 Dec 2008.
  • Wall D. (2007) The Mathematics of Imaging in Magnetic Resonance Elastography. Wellington, New Zealand: 1st Joint International Meeting between the American Mathematical Society and the New Zealand Mathematical Society (AMS-NZMS 2007), 12-15 Dec 2007.
  • Wall DJN. (2006) The inverse problem of Imaging in Magnetic Resonance elastography. Hamilton, New Zealand: 2006 New Zealand Mathematics Colloquium (NZMC2006), 4-6 Dec 2006.
  • Wall DJN., Olssen P. and Van Houten EEW. (2006) Some Results on the Conditioning of the Inverse Problem of Imaging in Magnetic Resonance Elastography. Snowbird, UT, USA: 5th International Conference on the Ultrasonic Measurement of Tissue Elasticity, 8-11 Oct 2006.
  • Wall DJN., Engstrom C., Kristensson G., Sjöberg D. and Wellander N. (2005) Homogenization problems for Maxwell's equations. Palmerston North, New Zealand: New Zealand Mathematics Colloquium, 1 Nov 2005.
  • Evans J., Connolly J. and Wall D. (2004) Activation of pathways involving protein kinase C and protein kinase A which have sequential effects in the luteinising hormone response to gonadotrophin-releasing hormone. Lisbon, Portugal: 12th International Congress of Endocrinology (ICE), 31 Aug 2004.
  • Wall DJN. (2004) Dynamical system aspects of a cancer cell growth model. Raglan, New Zealand: Dynamical Systems and Numerical Methods, 1 Aug 2004.
  • Basse B., Wake G. and Wall D. (2003) Cell Cycle Modelling of Human Cancer Cells. Sydney, Australia: International Congress on Industrial and Applied Mathematics (ICIAM), 1 Jul 2003.
  • Evans JJ., Connolly TJ. and Wall DJN. (2003) Delineating interactive processes in the pituitary and blood vessels. Auckland, New Zealand: New Zealand Society for Endocrinology Conference, 1 Apr 2003.
  • Wall D. and Connolly TJ. (2003) Inverse problems from nonlinear wave propagation. Sydney, Australia: 5th International Congress on Industrial and Applied Mathematics (ICIAM), 7 Jul 2003.
  • Wall DJ. (2003) Floquet-Bloch Decomposition of the Maxwell Equations. Honolulu, HI, USA: Progress in Electromagnetic Research Symposium (PIERS), 13 Oct 2003.
  • Wall DJN. (2003) Computational methods and inverse problems. Auckland, New Zealand: Auckland Numerical Ordinary Differential Equations(ANODE2003), 14 Jul 2003.
  • Wall DJN. (2003) Modelling populations of cancer cells in human cell lines. Waiheke Island, New Zealand: Modelling Cellular Function, 14 Jul 2003.
  • Basse B., Wake GC. and Wall DJN. (2002) Modelling cell growth in plants and animals. Auckland, New Zealand: New Zealand Mathematics Colloquium, 1 Nov 2002.
  • Connolly TC., Evans JJ. and Wall DJN. (2002) Mathematical description of responses of luteinising hormone to gonadotrophin-realising hormone. London, UK: Proceedings of the 5th International Congress of Neuroendocrinology, 1 Jul 2002.
  • Wall DJN. and Connolly TJ. (2002) Inverse Problems for a Semi-Linear Wave Equation. Auckland, New Zealand: New Zealand Mathematics Colloquium 2002, 1 Dec 2002.
  • Wake GC., Roberts MG., Yamamoto S. and Wall DJN. (2001) Illustrative examples and theory of a Kermack-McKendrick model applied to infectious diseases. Cardiff, UK: IMA Conference on Mathematical Modelling and Statistical Analysis of Infectious Diseases, 1 Sep 2001.
  • Wall DJN. and Shorten PR. (2000) Bursting Action Potentials in a Hodgkin-Huxley Model of a Cell. Waitangi, New Zealand: ANZIAM 2000, 36th Applied Mathematics, 1 Feb 2000.
  • Wall DJN. and Shorten PR. (2000) Signal reconstruction after transmission through a distorting medium and velocity profile reconstruction. Auckland, New Zealand: McNabb Symposium; Applied Mathematics in Depth, 1 Jan 2000.
Oral Presentations
  • Wall DJN. (2012) Chasing waves in Biology: Nonlinear wave propagation in the endothelium of human arteries. Chalmers University of Technology and University of Gothen, Gotëborg, Sweden: Seminar.
  • Wall DJN. (2012) Homogenisation in Biology: Nonlinear wave propagation in the endothelium of human arteries. Department of Electrical and Information Technology, Lund University of Technology, Lund, Sweden: Homogenisation in Biology: Nonlinear wave propagation in the endothelium of human arteries.
  • Wall DJN. (2012) Invisibility and Inverse Problems. University of Canterbury, Christchurch, New Zealand: Department of Electrical and Computer Engineering Seminar series.
  • Wall DJN. (2012) Invisibility and Inverse Problems. University of Canterbury, Christchurch, New Zealand: Department of Mathematics & Statistics Postgraduate series Talks.
  • Wall DJN. (2011) Magnetic Resonance (MR) elastography - Finding cancer tumours. Department of Electrical and Information Technology, Lund University of Technology, Sweden.
  • Wall DJN. (2011) On an inverse problem from Magnetic Resonance elastic imaging. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg: Computational and Applied Mathematics (CAM) Seminar.
  • Wall DJN. (2009) A model of cancer cell growth - Transfer from in vivo to in vitro. Helmholtz Centre, Institute of Biomathematics and Biometry, Munich, Germany: 04 Aug 2009.
  • Wall DJN. (2009) MRI elastography - Finding cancer tumours. Helmholtz Centre, Institute of Biomathematics and Biometry, Munich, Germany: 15 Sep 2009.
  • Wall DJN. (2009) The mathematics of imaging in magnetic resonance elastography. Royal Institute of Technology (KTH), Stockholm, Sweden: 07 Oct 2009.
  • Wall DJN. (2007) Chaos Theory and Complexity. Christchurch, New Zealand: Canterbury Health Board Staff Development Meeting, 29 Oct 2009.
  • Wall DJN. (2006) Heart disease and calcium signaling in endothelial cells. Chalmers University of Technology, Goteborg, Sweden: Department of Applied Mechanics, 15 Sep 2006.
  • Wall DJN. (2006) Modelling of cancer cell growth cycle with applications to cancer therapy in human tumour cell lines. Chalmers University of Technology, Gothenburg, Sweden.: Department of Mathematics, 18 Sep 2006.

Research Groups

  • Biomathematics Research Centre
  • Centre for Bioengineering
  • Computational Mathematics
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