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Emeritus Professor Graeme Wake staff profile picture

Emeritus Professor Graeme Wake

Emeritus Professor

School of Natural and Computational Sciences

Professional

Contact details

  • Ph: +64 (09) 414 0800 ext 41053
    Location: 2.19, IIMS
    Campus: Albany

Research Expertise

Research Interests

Mathematics in Industry

Area of Expertise

Field of research codes
Applied Mathematics (010200): Mathematical Sciences (010000)

Research Outputs

Journal

Wake, GC., Williams, N., Williams, NARI., & Pleasants, T. (2018). : http://dx.doi.org/10.21914/anziamj.v59i0.12625. ANZIAM Journal : Electronic Supplement.
[Journal article]Authored by: Wake, G.
Babylon, AM., Roberts, MG., & Wake, GC. (2018). Modelling leptospirosis in livestock. Theoretical Population Biology. 121, 26-32
[Journal article]Authored by: Roberts, M., Wake, G.
Efendiev, M., van Brunt, B., Wake, GC., & Zaidi, AA. (2018). A functional partial differential equation arising in a cell growth model with dispersion. Mathematical Methods in the Applied Sciences. 41(4), 1541-1553
[Journal article]Authored by: Van Brunt, B., Wake, G.
Promrak, J., Wake, GC., & Rattanakul, C. (2017). PREDATOR-PREY MODEL with AGE STRUCTURE. ANZIAM Journal. 59(2), 155-166
[Journal article]Authored by: Wake, G.
Kim, JH., & Wake, GC. (2017). A robust derivation of the Black-Scholes partial differential equation system without the self-financing hypothesis. Journal of Mathematics and Statistical Science. 3(4), 97-103 Retrieved from http://www.ss-pub.org/journals/jmss/vol-3/vol-3-issue-4-april-2017/
[Journal article]Authored by: Wake, G.
Van Brunt, B., Gul, S., & Wake, GC. (2015). A cell growth model adapted for the minimum cell size division. ANZIAM Journal : Electronic Supplement. 57(2), 138-149
[Journal article]Authored by: Van Brunt, B., Wake, G.
Van Brunt, B., Wake, GC., & Zaidi, A. (2015). Probability density function solutions to a Bessel type pantograph equation. Applicable Analysis: an international journal. 95(11), 2565-2577
[Journal article]Authored by: Van Brunt, B., Wake, G.
Fullard, LA., & Wake, GC. (2015). An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 80(6), 1890-1901
[Journal article]Authored by: Fullard, L., Wake, G.
Zaidi, AA., Van Brunt, B., & Wake, GC. (2015). Solutions to an advanced functional partial differential equation of the pantograph type. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471(2179)
[Journal article]Authored by: Van Brunt, B., Wake, G.
Zaidi, AA., Van Brunt, B., & Wake, GC. (2015). A model for asymmetrical cell division. Mathematical Biosciences and Engineering. 12(3), 491-501
[Journal article]Authored by: Van Brunt, B., Wake, G.
Phillips, GMA., Shorten, PR., Wake, GC., & Guan, J. (2015). Modeling the effect of insulin-like growth factor-1 on human cell growth. Mathematical Biosciences. 259, 43-54
[Journal article]Authored by: Wake, G.
Pleasants, AB., Wake, GC., Shorten, PR., Hassell-Sweatman, CZW., Mclean, CA., Holbrook, JD., . . . Sheppard, AM. (2014). A new, improved and generalizable approach for the analysis of biological data generated by -omic platforms. Journal of Developmental Origins of Health and Disease. 6(1), 17-26
[Journal article]Authored by: Wake, G.
Fullard, L., Lammers, W., Wake, GC., & Ferrua, MJ. (2014). Propagating longitudinal contractions in the ileum of the rabbit-Efficiency of advective mixing. Food and Function. 5(11), 2731-2742
[Journal article]Authored by: Fullard, L., Wake, G.
Guan, J., Gluckman, P., Yang, P., Krissansen, G., Sun, X., Zhou, Y., . . . Liu, DX. (2014). Cyclic glycine-proline regulates IGF-1 homeostasis by altering the binding of IGFBP-3 to IGF-1. Scientific Reports. 4
[Journal article]Authored by: Wake, G.
Abdul Latif, NS., Wake, GC., Reglinski, T., & Elmer, PAG. (2014). Modelling induced resistance to plant diseases. Journal of Theoretical Biology. 347(1), 144-150
[Journal article]Authored by: Wake, G.
Abdul Latif, NS., Wake, GC., Reglinski, T., Elmer, PAG., & Taylor, JT. (2013). Modeling induced resistance to plant disease using a dynamical systems approach. Frontiers in Plant Science. 4(FEB)
[Journal article]Authored by: Wake, G.
O'Sullivan, JM., Hendy, MD., Pichugina, T., Wake, GC., & Langowski, J. (2013). The statistical-mechanics of chromosome conformation capture.. Nucleus (Austin, Tex.). 4(5), 390-398
[Journal article]Authored by: Wake, G.
Wake, GC., O'Sullivan, JM, ., Hendy, MD, ., Pichugina, T, ., & Langowski, J, . (2013). The statistical-mechanics of chromosome conformation capture. Nucleus. 4(5), 1-9
[Journal article]Authored by: Wake, G.
Wake, GC., Pimpunchat, B, ., Modchang, C, ., Triampo, W, ., & Babylon, AM, . (2013). Mathematical Model of Leptospirosis: Linearized Solutions and Stability Analysis. Applied Mathematics. 2013(4), 77-84
[Journal article]Authored by: Wake, G.
Wake, GC., Hassell Sweatman, CZW, ., Pleasants, AB, ., McLean, CA, ., & Sheppard, AM, . (2013). Linear Models with Response Functions Based on the Laplace Distribution: Statistical Formulae and Their Application to Epigenomics. ISRN Probablitiy and Statistics. 2013, 1-22
[Journal article]Authored by: Wake, G.
O'Sullivan, JM., Hendy, MD., Pichugina, T., Wake, GC., & Langowski, J. (2013). The statistical-mechanics of chromosome conformation capture. Nucleus (United States). 4(5)
[Journal article]Authored by: Wake, G.
Wake, GC., & Byrne, HM. (2013). Calculus from the past: Multiple delay systems arising in cancer cell modelling. ANZIAM Journal. 54(3), 117-126
[Journal article]Authored by: Wake, G.
Fullard, LA., Davies, CE., & Wake, GC. (2013). Modelling powder mixing in mass flow discharge: A kinematic approach. Advanced Powder Technology.
[Journal article]Authored by: Davies, C., Wake, G.
Hassell-Sweatman, CZW., Wake, GC., Pleasants, T., McLean, CA., & Sheppard, AM. (2012). Linear models with perturbed and truncated Laplace response functions: The asymptotic theory of MLE with application to epigenetics. ISRN Probability and Statistics. 0, 1-32
[Journal article]Authored by: Wake, G.
Derfel, G., van Brunt, B., & Wake, GC. (2012). A cell-growth model revisited. Journal of Functional Differential Equations. 19(1-2), 75-85
[Journal article]Authored by: Van Brunt, B., Wake, G.
Kiataramkul, C., Wake, GC., Ben-Tal, A., & Lenbury, Y. (2011). Optimal nutritional intake for fetal growth. Mathematical Biosciences and Engineering. 8(3), 723-732
[Journal article]Authored by: Ben-Tal, A., Wake, G.
Suebcharoen, T., Van Brunt, B., & Wake, GC. (2011). Asymmetric cell division in a size-structured growth model. Differential and Integral Equations. 24(7-8), 787-799
[Journal article]Authored by: Van Brunt, B., Wake, G.
Van Brunt, B., & Wake, GC. (2011). A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model. European Journal of Applied Mathematics. 22(2), 151-168
[Journal article]Authored by: Van Brunt, B., Wake, G.
Wake, GC., Pleasants, AB., Vickers, MH., Sheppard, AM., & Gluckman, PD. (2011). The application of a model of glucose and insulin dynamics to explain an observed effect of leptin administration in reversal of developmental programming. Mathematical Biosciences. 229(1), 109-114
[Journal article]Authored by: Wake, G.
Sweatman, WL., Wake, GC., & Cooper, H. (2010). Using influence diagrams as a tool for decision making. ANZIAM Journal. 52
[Journal article]Authored by: Sweatman, W., Wake, G.
Begg, R., Wall, DJN., & Wake, GC. (2010). On a multicompartment age-distribution model of cell growth. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 75(6), 905-931
[Journal article]Authored by: Wake, G.
Wake, GC., Pleasants, AB., Beedle, A., & Gluckman, PD. (2010). A model for phenotype change in a stochastic framework. Mathematical Biosciences and Engineering. 7(3), 719-728
[Journal article]Authored by: Wake, G.
McDonald, B., Hastie, G., & Wake, G. (2009). Estimating the lifetime of marine concrete. ANZIAM Journal. 51(SUPPL.)
[Journal article]Authored by: McDonald, B., Wake, G.
Wake, GC. (2010). Industrial mathematics: 'On the crest of a wave'. Australian Mathematical Society Gazette. 37(2), 88-90
[Journal article]Authored by: Wake, G.
Luo, W., Wake, GC., & Hawk, CW. (2009). Numerical determination of critical conditions for thermal ignition. ANZIAM Journal. 50(3), 283-305
[Journal article]Authored by: Wake, G.
Wake, GC., & Begg, RE. (2009). Functional differential equations arising in cell-growth. Matematika. 25(1), 87-90
[Journal article]Authored by: Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., Wake, GC., & Simpkin, RA. (2009). Inverse method for the detection of a foreign object using microwave measurements. IET Science, Measurement and Technology. 3(2), 148-158
[Journal article]Authored by: Sweatman, W., Wake, G.
Suebcharoen, T., Satiracoo, P., & Wake, GC. (2009). Distributed delay logistic equations with harvesting. Differential and Integral Equations. 22(3-4), 321-337
[Journal article]Authored by: Wake, G.
Pimpunchat, B., Sweatman, WL., Wake, GC., Triampo, W., & Parshotam, A. (2009). A mathematical model for pollution in a river and its remediation by aeration. Applied Mathematics Letters. 22(3), 304-308
[Journal article]Authored by: Sweatman, W., Wake, G.
Korobeinikov, A., Norbury, J., & Wake, GC. (2009). Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Nonlinear Analysis: Real World Applications. 10(1), 93-103
[Journal article]Authored by: Wake, G.
Begg, RE., Wall, DJN., & 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
[Journal article]Authored by: Wake, G.
Begg, R., Wall, DJN., & 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
[Journal article]Authored by: Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2007). Solutions to the inverse problem in a two-dimensional model for microwave breast tumour detection. International Journal of Intelligent Systems Technologies and Applications. 3(1-2), 133-148
[Journal article]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2007). Solutions of inverse problems with potential application for breast tumour detection using microwave measurements. Computational and Mathematical Methods in Medicine. 8(4), 245-261
[Journal article]Authored by: Sweatman, W., Wake, G.
Cowpertwait, PS., Wake, GC., Anderson, RD., Edwards, H., & Searle, S. (2007). Statistics and applied probability: A tribute to Jeffrey J. Hunter. Journal of Applied Mathematics and Decision Sciences. 2007, 1-4 Retrieved from http://www.hindawi.com/journals/ads/2007/057619/abs/
[Journal article]Authored by: Wake, G.
Nelson, MI., Marchant, TR., Wake, GC., Balakrishnan, E., & Chen, XD. (2007). Self-heating in compost piles due to biological effects. Chemical Engineering Science. 62(17), 4612-4619
[Journal article]Authored by: Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2007). Solutions to the inverse problem in a two-dimensional model for microwave breast tumour detection. International Journal of Intelligent Systems Technologies and Applications. 3(1/2), 133-148 Retrieved from http://www.inderscience.com/info/inarticle.php?artid=14131
[Journal article]Authored by: Sweatman, W., Wake, G.
Pleasants, AB., Shorten, PR., & Wake, GC. (2007). The distribution of urine deposited on a pasture from grazing animals. Journal of Agricultural Science. 145(1), 81-86
[Journal article]Authored by: Wake, G.
Hamzah, N., Ross, A., & Wake, GC. (2007). A bifurcation analysis of a simple phytoplankton and zooplankton model. Mathematical and Computer Modelling. 45(3-4), 449-458
[Journal article]Authored by: Wake, G.
Wake, GC. (2006). Population dynamics of size-structured populations. New Zealand Journal of Ecology. 30(1), 153-154 Retrieved from http://www.nzes.org.nz/nzje/abstract.php?volume_issue=j30_1&pdf_filename=NZJEcol30_1_147.pdf&uniqueID=2310
[Journal article]Authored by: Wake, G.
Smith, A., Nikora, V., Ross, A., & Wake, G. (2006). A lattice Boltzmann-based model of plankton-flow interaction around a mussel cluster. Ecological Modelling. 192(3-4), 645-657
[Journal article]Authored by: Wake, G.
Senaratne, GG., Wake, GC., & Sweatman, WL. (2006). Solutions to the two-dimensional boundary value problem for microwave breast tumor detection. IEEE Microwave and Wireless Components Letters. 16(10), 525-527
[Journal article]Authored by: Sweatman, W., Wake, G.
Chase, JG., Shaw, GM., Lin, J., Doran, CV., Bloomfield, M., Wake, GC., . . . Lotz, T. (2005). Impact of insulin-stimulated glucose removal saturation on dynamic modelling and control of hyperglycaemia. International Journal of Intelligent Systems Technologies and Applications. 1(1-2), 79-94
[Journal article]Authored by: Wake, G.
Basse, B., Baguley, BC., Marshall, ES., Wake, GC., & Wall, DJN. (2005). Modelling the flow cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison (vol 67, pg 815, 2005). BULLETIN OF MATHEMATICAL BIOLOGY. 67(5), 1153-1153
[Journal article]Authored by: Wake, G.
Patterson, MG., Wake, GC., McKibbin, R., & Cole, AO. (2006). Ecological pricing and transformity: A solution method for systems rarely at general equilibrium. Ecological Economics. 56(3 SPEC. ISS.), 412-423
[Journal article]Authored by: McKibbin, R., Wake, G.
Chase, JG., Shaw, GM., Lin, J., Doran, CV., Hann, C., Robertson, MB., . . . Broughton, B. (2005). Adaptive bolus-based targeted glucose regulation of hyperglycaemia in critical care. Medical Engineering and Physics. 27(1), 1-11
[Journal article]Authored by: Wake, G.
Chase, JG., Shaw, GM., Lin, J., Doran, CV., Hann, C., Lotz, T., . . . Broughton, B. (2005). Targeted glycemic reduction in critical care using close-loop control. Diabetes Technology and Therapeutics. 7(2), 274-282 Retrieved from http://online.liebertpub.com/doi/abs/10.1089/dia.2005.7.274?url_ver=Z39.88-2003&rfr_id=ori:rid:crossref.org&rfr_dat=cr_pub%3dpubmed
[Journal article]Authored by: Wake, G.
Chase, JG., Shaw, GM., Lin, J., Dorn, CV., Bloomfield, M., Wake, GC., . . . Lotz, T. (2005). Impact of insulin-stimulated glucose removal saturation on dynamic modelling and control of hyperglycaemia. International Journal of Intelligent Systems Technologies and Applications. 1(1/2), 79-94 Retrieved from http://dl.acm.org/citation.cfm?id=1359491
[Journal article]Authored by: Wake, G.
Basse, B., Baguley, BC., Marshall, ES., Wake, GC., & 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
[Journal article]Authored by: Wake, G.
Begg, R., Wall, DJN., & Wake, GC. (2005). On a functional equation model of transient cell growth. Mathematical Medicine and Biology. 22(4), 371-390
[Journal article]Authored by: Wake, G.
Wake, GC. (2004). The numbers game: Mathematics-in-industry study group comes to New Zealand. New Zealand Science Review. 61(1), 11-17 Retrieved from http://www.scientists.org.nz/files/journal/2004-61/NZSR_61_1.pdf
[Journal article]Authored by: Wake, G.
Basse, B., Wake, GC., Wall, DJN., & Van Brunt, B. (2004). On a cell-growth model for plankton. Mathematical Medicine and Biology. 21(1), 49-61
[Journal article]Authored by: Van Brunt, B., Wake, G.
Basse, B., Baguley, BC., Marshall, ES., Joseph, WR., Van Brunt, B., Wake, G., . . . 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
[Journal article]Authored by: Van Brunt, B., Wake, G.
Marshall, JC., van-Brunt, B., & Wake, GC. (2004). A natural boundary for solutions to the second order pantograph equation. Journal of Mathematical Analysis and Applications. 299(2), 314-321
[Journal article]Authored by: Marshall, J., Van Brunt, B., Wake, G.
Khan, QJ., Balakrishnan, E., & Wake, GC. (2004). Analysis of a predator-prey system with predator switching. Bulletin of Mathematical Biology. 66(1), 109-123 Retrieved from http://link.springer.com/article/10.1016/j.bulm.2003.08.005
[Journal article]Authored by: Wake, G.
Chase, JG., Rudge, AD., Shaw, GM., Wake, GC., Lee, D., Hudson, IL., . . . Johnston, L. (2004). Modeling and control of the agitation-sedation cycle for critical care patients. Medical Engineering and Physics. 26(6), 459-471 Retrieved from http://www.sciencedirect.com/science/article/pii/S1350453304000268
[Journal article]Authored by: Wake, G.
Basse, B., Baguley, BC., Marshall, ES., Wake, GC., & 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 Retrieved from http://www.sciencedirect.com/science/article/pii/S0079610704000227
[Journal article]Authored by: Wake, G.
Shah, AA., & Wake, GC. (2004). The existence of steady states to a combustion model with internal heating. Nonlinear Analysis: Real World Applications. 5(3), 421-439 Retrieved from http://www.sciencedirect.com/science/article/pii/S1468121803000725
[Journal article]Authored by: Wake, G.
Smith, BW., Chase, JG., Nokes, RI., Shaw, GM., & Wake, GC. (2004). Minimal haemodynamic system model including ventricular interaction and valve dynamics. Medical Engineering and Physics. 26(2), 131-139 Retrieved from http://www.sciencedirect.com/science/article/pii/S1350453303001619
[Journal article]Authored by: Wake, G.
van Brunt, B., Marshall, JC., & Wake, GC. (2004). Holomorphic solutions to pantograph type equations with neutral fixed points. Journal of Mathematical Analysis and Applications. 295(2), 557-569
[Journal article]Authored by: Marshall, J., Van Brunt, B., Wake, G.
Van Brunt, B., Marshall, JC., & Wake, GC. (2003). An Eigenvalue problem for holomorphic solutions to a certain class of functional differential equations. European Journal of Applied Mathematics. 14(5), 571-585
[Journal article]Authored by: Marshall, J., Van Brunt, B., Wake, G.
Wake, GC., Soboleva, TK., & Pleasants, AB. (2003). The evolution of a truncated Gaussian probability density through time: Modelling animal liveweights after selection. Mathematical and Computer Modelling. 38(11-13), 1461-1468 Retrieved from http://www.sciencedirect.com/science/article/pii/S0895717703901506
[Journal article]Authored by: Wake, G.
Vetharaniam, I., Davis, SR., Soboleva, TK., Shorten, PR., & Wake, GC. (2003). Modeling the interaction of milking frequency and nutrition on mammary gland growth and lactation. Journal of Dairy Science. 86(6), 1987-1996 Retrieved from http://www.sciencedirect.com/science/article/pii/S0022030203737874
[Journal article]Authored by: Wake, G.
Shaw, GM., Chase, JG., Rudge, AD., Starfinger, C., Lam, ZH., Lee, DJ., . . . Dove, R. (2003). Rethinking sedation and agitation management in critical illness. Critical Care and Resuscitation. 5(3), 198-206 Retrieved from http://search.informit.com.au/documentSummary;dn=520686416643296;res=IELHEA
[Journal article]Authored by: Wake, G.
Rasmussen, H., Wake, GC., & Donaldsen, J. (2003). Analysis of a class of distributed delay logistic differential equations. Mathematical and Computer Modelling. 38(1-2), 123-132 Retrieved from http://www.sciencedirect.com/science/article/pii/S0895717703900100
[Journal article]Authored by: Wake, G.
Pleasants, AB., Wake, GC., & Daly, CC. (2003). Derivation of the probability density function for ultimate muscle pH in slaughtered animals. ANZIAM Journal. 44(1), 27-34 Retrieved from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3932004
[Journal article]Authored by: Wake, G.
Norhayati, N., & Wake, GC. (2003). The solution and the stability of a nonlinear age-structured population model. ANZIAM Journal. 45(2), 153-165 Retrieved from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3931296&fulltextType=RA&fileId=S1446181100013237
[Journal article]Authored by: Wake, G.
Kozyreff, G., Wake, GC., Ockendon, H., & Sumner, RM. (2003). Core bulk of wool fibres as a function of their curvature and diameter. Physics Letters A. 314(5-6), 428-433 Retrieved from http://www.sciencedirect.com/science/article/pii/S0375960103009435
[Journal article]Authored by: Wake, G.
Basse, B., Baguley, BC., Marshall, ES., Joseph, WR., Van Brunt, B., Wake, G., . . . 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
[Journal article]Authored by: Van Brunt, B., Wake, G.
Korobeinikov, A., & Wake, G. (2002). Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Applied Mathematics Letters. 15(8), 955-960 Retrieved from http://www.sciencedirect.com/science/article/pii/S0893965902000691
[Journal article]Authored by: Wake, G.
Lam, ZH., Hwang, KS., Lee, JY., Chase, JG., & Wake, GC. (2002). Active insulin infusion using optimal and derivative-weighted control. Medical Engineering and Physics. 24(10), 663-672 Retrieved from http://www.sciencedirect.com/science/article/pii/S1350453302001479
[Journal article]Authored by: Wake, G.
Louie, K., Wake, GC., Lambert, G., McKay, A., & Barker, D. (2002). A delay model for the growth of ryegrass-clover mixtures: Formulation and preliminary simulations. Ecological Modelling. 155(1), 31-42 Retrieved from http://www.sciencedirect.com/science/article/pii/S0304380002000637
[Journal article]Authored by: Wake, G.
Marshall, JC., Van Brunt, B., & Wake, GC. (2002). Natural boundaries for solutions to a certain class of functional differential equations. Journal of Mathematical Analysis and Applications. 268(1), 157-170
[Journal article]Authored by: Marshall, J., Van Brunt, B., Wake, G.
Ben-Tal, A., Kirk, V., & Wake, G. (2001). Banded chaos in power systems. IEEE Transactions on Power Delivery. 16(1), 105-110
[Journal article]Authored by: Ben-Tal, A., Wake, G.
McIntosh, AC., Gray, BF., Wake, GC., & Ball, R. (2001). The stability of a near-adiabatic endex batch CSTR reactor. ANZIAM Journal. 43(1), 59-75 Retrieved from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3906240&fulltextType=RA&fileId=S1446181100011421
[Journal article]Authored by: Wake, G.
Nelson, MI., Wake, GC., Chen, XD., & Balakrishnan, E. (2001). The multiplicity of steady-state solutions arising from microwave heating: I. Infinite biot number and small penetration depth. ANZIAM Journal. 43(1), 87-103 Retrieved from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3906264&fulltextType=RA&fileId=S1446181100011445
[Journal article]Authored by: Wake, G.
Weber, RO., Wake, GC., Sidhu, HS., Mercer, GN., Gray, BF., Derrick, W., . . . Balakrishnan, E. (2001). On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere. ANZIAM Journal. 43(1), 77-85 Retrieved from http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3906252&fulltextType=RA&fileId=S1446181100011433
[Journal article]Authored by: Wake, G.
Van Brunt, B., Wake, GC., & Kim, HK. (2001). On a singular Sturm-Liouville problem involving an advanced functional differential equation. European Journal of Applied Mathematics. 12(6), 625-644
[Journal article]Authored by: Van Brunt, B., Wake, G.
Tsang, B., Taylor, SK., & Wake, GC. (2000). Variational methods for boundary value problems. Journal of Applied Mathematics and Decision Sciences. 4(2), 193-204 Retrieved from http://www.hindawi.com/journals/ads/2000/841395/abs/
[Journal article]Authored by: Wake, G.
Nelson, MI., Wake, GC., & Chen, XD. (2000). Heterogeneously catalysed combustion in continuously stirred tank reactor - low temperature reactions. Combustion Theory Modelling. 4(1), 1-27 Retrieved from http://www.tandfonline.com/doi/abs/10.1088/1364-7830/4/1/301
[Journal article]Authored by: Wake, G.
Wake, GC., Cooper, S., Kim, H., & Van Brunt, B. (2000). Functional differential equations for cell-growth models with dispersion. Communications in Applied Analysis. 4(4), 561-573
[Journal article]Authored by: Cooper, S., Van Brunt, B., Wake, G.
Pleasants, AB., Wake, GC., McCall, DG., & Watt, SD. (1997). Modelling pasture mass through time in a managed grazing system subject to perturbations resulting from complexity in natural biological processes. Agricultural Systems. 53(2-3), 191-208
[Journal article]Authored by: Wake, G.
Balakrishnan, E., Swift, A., & Wake, GC. (1997). Multiple solutions in hollow geometries in the theory of thermal ignition. Applied Mathematics Letters. 10(5), 41-46
[Journal article]Authored by: Wake, G.
Pleasants, AB., Wake, GC., & Rae, AL. (1997). The allometric hypothesis when the size variable is uncertain: Issues in the study of carcass composition by serial slaughter. Journal of the Australian Mathematical Society Series B-Applied Mathematics. 38(4), 477-488
[Journal article]Authored by: Wake, G.
Rivers, CM., Wake, GC., & Chen, XD. (1997). The role of drying in the spontaneous ignition of moist milk powder. Mathematical Engineering in Industry. 6(1), 1-14
[Journal article]Authored by: Wake, G.
McLennan, JA., Potter, MA., Robertson, HA., Wake, GC., Colbourne, R., Dew, L., . . . Reid, J. (1996). Role of predation in the decline of Kiwi, Apteryx spp., in New Zealand. New Zealand Journal of Ecology. 20(1), 27-35
[Journal article]Authored by: Potter, M., Wake, G.
Wake, GC. (1996). Nonlinear dynamics of combustion - Preface. MATHEMATICAL AND COMPUTER MODELLING. 24(8), R11-R11
[Journal article]Authored by: Wake, G.
Hadfield, M., Kumar, SK., Vincent, WF., Austin, PC., & Wake, GC. (1995). Addendum to "Picoplankton and marine food chain dynamics in a variable mixed layer: a reaction-diffusion model". Ecological Modelling. 82(1), 105-108
[Journal article]Authored by: Wake, G.
HADFIELD, M., KUMAR, SK., VINCENT, WF., AUSTIN, PC., & WAKE, GC. (1995). PICOPLANKTON AND MARINE FOOD-CHAIN DYNAMICS IN A VARIABLE MIXED-LAYER - A REACTION-DIFFUSION MODEL. ECOLOGICAL MODELLING. 82(1), 105-108
[Journal article]Authored by: Wake, G.
Woodward, SJR., Wake, GC., & McCall, DG. (1995). Optimal grazing of a multi-paddock system using a discrete time model. Agricultural Systems. 48(2), 119-139
[Journal article]Authored by: Wake, G.
BROAD, LR., & WAKE, GC. (1995). DERIVATIVE BASED METHODS FOR CONSTRUCTING VOLUME-RATIO AND TAPER EQUATIONS. FOREST SCIENCE. 41(1), 157-167
[Journal article]Authored by: Wake, G.
Louie, K., Roberts, MG., & Wake, GC. (1994). The regulation of an age-structured population by a fatal disease. Mathematical Medicine and Biology. 11(4), 229-244
[Journal article]Authored by: Roberts, M., Wake, G.
Balakrishnan, E., Swift, A., & Wake, GC. (1994). Path-following for disjoint bifurcation problems arising in ignition theory. Mathematical and Computer Modelling. 19(9), 9-15
[Journal article]Authored by: Wake, G.
Louie, K., Roberts, MG., & Wake, GC. (1994). The regulation of a dispersive age-structured population by a fatal disease. Applied Mathematics Letters. 7(4), 79-83
[Journal article]Authored by: Roberts, M., Wake, G.
Woodward, SJR., & Wake, GC. (1994). A differential-delay model of pasture accumulation and loss in controlled grazing systems. Mathematical Biosciences. 121(1), 37-60
[Journal article]Authored by: Wake, G.
McIntosh, AC., Gray, BF., & Wake, GC. (1994). The ignition of combustible material in the presence of a damp atmosphere. Physics Letters A. 191(1-2), 61-70
[Journal article]Authored by: Wake, G.
Parshotam, A., McNabb, A., & Wake, G. (1993). Comparison Theorems for Coupled Reaction-Diffusion Equations in Chemical Reactor Analysis. Journal of Mathematical Analysis and Applications. 178(1), 196-220
[Journal article]Authored by: Wake, G.
Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease. Mathematical Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M., Wake, G.
Gray, BF., & Wake, GC. (1993). Critical initial conditions for thermal ignition. Mathematical and Computer Modelling. 18(8), 65-75
[Journal article]Authored by: Wake, G.
Wake, GC., & Hood, MJ. (1993). Multiplicity of solutions of a quasilinear elliptic equation in spherical domains. Mathematical and Computer Modelling. 18(10), 157-162
[Journal article]Authored by: Wake, G.
Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease.. IMA Journal of Mathematics Applied in Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M., Wake, G.
Chen, XD., & Wake, GC. (1993). On the prediction of fat globule concentration profiles in emulsions under gravity. Topics in Catalysis. 7(2), 123-135
[Journal article]Authored by: Wake, G.
Sisson, RA., Swift, A., Wake, GC., & Gray, BF. (1993). The self-heating of damp cellulosic materials: II. On the steady states of the spatially distributed case. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 50(3), 285-306
[Journal article]Authored by: Wake, G.
Norbury, J., & Wake, GC. (1993). Spatial pattern formation for steady states of a population model. Mathematical Medicine and Biology. 10(1), 19-30
[Journal article]Authored by: Wake, G.
Woodward, SJR., Wake, GC., Pleasants, AB., & McCall, DG. (1993). A simple model for optimizing rotational grazing. Agricultural Systems. 41(2), 123-155
[Journal article]Authored by: Wake, G.
WAKE, G. (1992). THE SYMBIOSIS OF MATHEMATICS AND BIOLOGY. NEW ZEALAND JOURNAL OF ECOLOGY. 16(1), 1-3
[Journal article]Authored by: Wake, G.
McNabb, A., Parshotam, A., & Wake, G. (1992). Outputs and time lags for linear bioreactors. Mathematical and Computer Modelling. 16(12), 109-120
[Journal article]Authored by: Wake, G.
Wake, GC., Sleeman, M., Chen, XD., & Jones, JC. (1992). Theory and applications of ignition with variable activation energy. Journal of Thermal Science. 1(3), 208-212
[Journal article]Authored by: Wake, G.
Gray, BF., Little, SG., & Wake, GC. (1992). The prediction of a practical lower bound for ignition delay times and a method of scaling times-to-ignition in large reactant masses from laboratory data-II. Symposium (International) on Combustion. 24(1), 1785-1791
[Journal article]Authored by: Wake, G.
Sisson, RA., Swift, A., Wake, GC., & Gray, BF. (1992). The self-heating of damp cellulosic materials: I. High thermal conductivity and diffusivity. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 49(3), 273-291
[Journal article]Authored by: Wake, G.
LACEY, AA., & WAKE, GC. (1992). CRITICAL INITIAL CONDITIONS FOR SPATIALLY-DISTRIBUTED THERMAL EXPLOSIONS. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS. 33, 350-362
[Journal article]Authored by: Wake, G.
Hall, AJ., Wake, GC., & Gandar, PW. (1991). Steady size distributions for cells in one-dimensional plant tissues. Journal of Mathematical Biology. 30(2), 101-123
[Journal article]Authored by: Wake, G.
Kishore Kumar, S., Vincent, WF., Austin, PC., & Wake, GC. (1991). Picoplankton and marine food chain dynamics in a variable mixed-layer: a reaction-diffusion model. Ecological Modelling. 57(3-4), 193-219
[Journal article]Authored by: Wake, G.
Gray, BF., Merkin, JH., & Wake, GC. (1991). Disjoint bifurcation diagrams in combustion systems. Mathematical and Computer Modelling. 15(11), 25-33
[Journal article]Authored by: Wake, G.
Jones, JC., Rahmati, H., & Wake, GC. (1991). The Unpiloted Ignition of Eucalyptus Leaves Treated as a Parallel Reaction System. Journal of Fire Sciences. 9(4), 311-329
[Journal article]Authored by: Wake, G.
SMITH, WR., WAKE, GC., MCINTOSH, JEA., MCINTOSH, RP., PETTIGREW, M., & KAO, R. (1991). MATHEMATICAL-ANALYSIS OF PERIFUSION DATA - MODELS PREDICTING ELUTION CONCENTRATION. AMERICAN JOURNAL OF PHYSIOLOGY. 261(1), R247-R256
[Journal article]Authored by: Wake, G.
McNabb, A., Wake, GC., Lambourne, RD., & Anderssen, RS. (1991). Theoretical derivation of rules-of-thumb for freezing times. Inverse Problems. 7(4), 633-642
[Journal article]Authored by: Wake, G.
Mcnabb, A., & Wake, GC. (1991). Heat conduction and finite measures for transition times between steady states. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 47(2), 193-206
[Journal article]Authored by: Wake, G.
Parshotam, AA., Rao Bhamidimarri, SM., & Wake, GC. (1991). A simple method for obtaining good bounds for solutions of reaction-diffusion equations with nonlinear kinetics. Chemical Engineering Science. 46(1), 49-55
[Journal article]Authored by: Wake, G.
Wake, GC., Scott, SK., & Brindley, J. (1991). Multiplicity of steady state solutions for combustion in a solid sphere with arbitrary Biot number. Physics Letters A. 153(1), 16-20
[Journal article]Authored by: Wake, G.
Busenberg, S., Kumar, SK., Austin, P., & Wake, G. (1990). The dynamics of a model of a plankton-nutrient interaction. Bulletin of Mathematical Biology. 52(5), 677-696
[Journal article]Authored by: Wake, G.
Gray, BF., Dewynne, J., Hood, M., Wake, GC., & Weber, R. (1990). Effect of deposition of combustible matter onto electric power cables. Fire Safety Journal. 16(6), 459-467
[Journal article]Authored by: Wake, G.
Smith, WR., & Wake, GC. (1990). Mathematical analysis: An inverse problem arising in convective-diffusive flow. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 45(3), 225-231
[Journal article]Authored by: Wake, G.
Gray, BF., & Wake, GC. (1990). The ignition of hygroscopic combustible materials by water. Combustion and Flame. 79(1), 2-6
[Journal article]Authored by: Wake, G.
Clifford Jones, J., & Wake, GC. (1990). Measured activation energies of ignition of solid materials. Journal of Chemical Technology & Biotechnology. 48(2), 209-216
[Journal article]Authored by: Wake, G.
HALL, AJ., & WAKE, GC. (1990). FUNCTIONAL-DIFFERENTIAL EQUATIONS DETERMINING STEADY SIZE DISTRIBUTIONS FOR POPULATIONS OF CELLS GROWING EXPONENTIALLY. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS. 31, 434-453
[Journal article]Authored by: Wake, G.
Vincent, WF., Wake, GC., Austin, PC., & Bradford, JM. (1989). Modelling the upper limit to oceanic phytoplankton production as a function of latitude in the new zealand exclusive economic zone. New Zealand Journal of Marine and Freshwater Research. 23(3), 401-410
[Journal article]Authored by: Wake, G.
HALL, AJ., & WAKE, GC. (1989). A FUNCTIONAL-DIFFERENTIAL EQUATION ARISING IN MODELING OF CELL-GROWTH. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS. 30, 424-435
[Journal article]Authored by: Wake, G.
Hearne, JW., & Wake, GC. (1989). A numerical scheme for solving a stream nutrient model. Applied Mathematical Modelling. 13(3), 155-159
[Journal article]Authored by: Wake, G.
Burnell, JG., Graham-eagle, JG., Gray, BF., & Wake, GC. (1989). Determination of critical ambient temperatures for thermal ignition. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 42(2), 147-154
[Journal article]Authored by: Wake, G.
WAKE, GC., BODDINGTON, T., & GRAY, P. (1989). THERMAL EXPLOSIONS, CRITICALITY AND THE DISAPPEARANCE OF CRITICALITY IN SYSTEMS WITH DISTRIBUTED TEMPERATURES .4. RIGOROUS BOUNDS AND THEIR PRACTICAL RELEVANCE. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 425(1869), 285-289
[Journal article]Authored by: Wake, G.
Brindley, J., & Wake, GC. (1988). Addendum to 'on the existence and stability of spatially structured solutions of the reaction-diffusion equations'. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 40(2), 145-146
[Journal article]Authored by: Wake, G.
Gray, BF., & Wake, GC. (1988). On the determination of critical ambient temperatures and critical initial temperatures for thermal ignition. Combustion and Flame. 71(1), 101-104
[Journal article]Authored by: Wake, G.
CARTER, MR., DRUCE, OJ., & WAKE, GC. (1979). PHASE-PLANE ANALYSIS OF CRITICALITY FOR THERMAL EXPLOSIONS WITH REACTANT CONSUMPTION. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 367(1730), 411-431
[Journal article]Authored by: Wake, G.

Book

Wake, G. (2015). Models of Developmental Plasticity and Cell Growth. In Trends in Mathematics. (pp. 155 - 160).
[Chapter]Authored by: Wake, G.

Report

Wake, GC. (2009). Mathematical models of dynamics and control of environmental change: scaling from genomes to ecosystems.
[Commissioned Report]Authored by: Wake, G.
Wake, GC. (2008). Review of school of mathematical and geospational sciences.
[Commissioned Report]Authored by: Wake, G.

Conference

Wake, G.Models of Developmental Plasticity and Cell Growth. EXTENDED ABSTRACTS SPRING 2014: HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS; VIRUS DYNAMICS AND EVOLUTION. (pp. 155 - 160).
[Conference]Authored by: Wake, G.
Brown, RG., Liddell, G., & Adam, N. (2017). Time errors in a frequency controller. In AJ. Roberts, & G. Wake (Eds.) ANZIAM Journal : Electronic Supplement. Vol. 57 (pp. M268 - M285). : the 2015 Mathematics and Statistics in Industry NZ Study Group, MISG-2015
[Conference Paper in Published Proceedings]Authored by: Brown, R.Edited by: Wake, G.
Van Brunt, B., Zaidi, A., & Wake, G. (2015, November). A Second Order Initial Boundary Value Problem for Cell Growth. Presented at New Zealand Mathematical Colloquium 2015. Christchurch, New Zealand.
[Conference Oral Presentation]Authored by: Van Brunt, B., Wake, G.
Van Brunt, B., Gul, S., & Wake, GC.A CELL GROWTH MODEL ADAPTED FOR THE MINIMUM CELL SIZE DIVISION.
[Conference Oral Presentation]Authored by: Van Brunt, B., Wake, G.
Fullard, LA., Davies, C., & Wake, G. (2014, October). Modelling the Discharge of Particulates from a Hopper-Silo System How a 6 week Industrial Contract Turned into a Research Career. Presented at Forum "Math-for-Industry" 2014 -Applications + Practical Conceptualization + Mathematics = fruitful Innovation. Fukuoka, Japan.
[Conference Oral Presentation]Authored by: Davies, C., Fullard, L., Wake, G.
Van Brunt, B., Wake, G., & Zaidi, A. (2014, December). On the solution to a nonlocal PDE from a cell growth model. Presented at 8th Australia-New Zealand Mathematics Convention. Melbourne, Australia.
[Conference Oral Presentation]Authored by: Van Brunt, B., Wake, G.
Van Brunt, B., Wake, G., & Zaidi, A. (2014). Tumour cell biology and some new non-local calculus. In M. Wakayama, R. McKibbin, R. Anderssen, J. Cheng, K. Polthier, & K. Toh (Eds.) The Impact of Applications on Mathematics: Proceedings of the Forum lf Mathematics for Industry. Vol. 1 (pp. 27 - 33). Japan: Mathematics for Industry
[Conference Paper in Published Proceedings]Authored by: Van Brunt, B., Wake, G.Edited by: McKibbin, R.
Wake, GC.Tumour Cell Biology and Some New Non-Local Calculus. . Nishijin Plaza, Fukuoka, Japan
[Conference Paper]Authored by: Wake, G.
Fullard, LA., Davies, CE., & Wake, GC. (2013). Modelling powder mixing in mass flow discharge: A kinematic approach. Advanced Powder Technology. Vol. 24 (pp. 499 - 506).
[Conference Paper in Published Proceedings]Authored by: Davies, C., Fullard, L., Wake, G.
Fullard, LA., Davies, C., & Wake, G. (2012, September). A kinematic model for powder mixing in mass flow discharge from a conical hopper. Presented at Chemeca 2012. Te Papa, Wellington, New Zealand.
[Conference Oral Presentation]Authored by: Davies, C., Fullard, L., Wake, G.
Davies, CE., Fullard, LA., & Wake, G. (2012, July). Modelling powder mixing in mass flow discharge: A kinematic approach. Presented at 5th Asian Particle Technology Symposium 2012. Singapore, Malaysia.
[Conference Oral Presentation]Authored by: Davies, C., Fullard, L., Wake, G.
Fullard, L., Davies, CE., & Wake, G. (2012). Residence Time Distribution As Predicted by a Kinematic Model for Mass Flow Powder Discharge From a Conical Hopper. , AIChE 2012 Annual Meeting
[Conference Abstract]Authored by: Davies, C., Fullard, L., Wake, G.
Fullard, L., Davies, CE., & Wake, GC. (2012). A kinematic model for powder mixing in mass flow discharge from a conical hopper. Chemeca 2012: Quality of life through chemical engineering: 23-26 September 2012, Wellington, New Zealand. (pp. 685 - 697). : Chemeca 2012
[Conference Paper in Published Proceedings]Authored by: Davies, C., Fullard, L., Wake, G.
Sweatman, WL., Wake, GC., Fullard, L., & Bruna, M. (2011). Recovering vanadium during the production of steel from iron sand. ANZIAM Journal. Vol. 53
[Conference Paper in Published Proceedings]Authored by: Fullard, L., Sweatman, W., Wake, G.
Sweatman, WL., Wake, GC., Fullard, L., & Bruna, M. (2011). Recovering vanadium during the production of steel from iron sand. In J. Shepherd, & AJ. Roberts (Eds.) ANZIAM Journal. Vol. 53 (pp. M1 - M21).
[Conference Paper in Published Proceedings]Authored by: Fullard, L., Wake, G.
Zaidi, AA., van-Brunt, B., & Wake, GC.Probability density function solutions to a Bessel type pantograph equation.
[Conference Oral Presentation]Authored by: Van Brunt, B., Wake, G.
Sweatman, WL., Wake, GC., & Cooper, H.Influence diagrams to support decision making. Equation-free summary, supplementary file to the Preface to the Proceedings of the Mathematics in Industry Study Group 2010, Australia and New Zealand Industrial and Applied Mathematics Journal. Vol. 52: Mathematics in Study Group 2010
[Conference Paper in Published Proceedings]Authored by: Wake, G.
McGill, A., Wake, G., & Beedle, A. (2010). Energy and nutrient modelling of human evolution. Poster session presented at the meeting of 2010 Australia and New Zealand Obesity Society Annual Meeting. Sydney, NSW, Australia
[Conference Poster]Authored by: Wake, G.
McGill, A., Wake, G., & Beedle, A. (2010). Energy and nutrient modelling of human evolution. In Obesity Research and Clinical Practice, Proceedings of the 20th Annual Scientific Meeting, Australia and New Zealand Obesity Society(pp. 27 - 28). : Elsevier
[Conference Abstract]Authored by: Wake, G.
Kiataramkul, C., Wake, G., Ben Tal, A., & Lenbury, Y. (2010). Optimal nutritional intake for fetal growth: An underpinning algorithm for decision support. In National Research Centre for Growth and Development 2010 Science Symposium(pp. 21 - 21). : National Research Centre for Growth and Development
[Conference Abstract]Authored by: Wake, G.
Senaratne, G., Sweatman, WL., & Wake, GC. (2010). Inverse solutions to microwave scattering problem for breast tumor detection and size estimation. The 2nd International Conference on RF and Signal Processing Systems (RSPS - 2010). (pp. 411 - 416).
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Wake, GC., Kiataramkul, C., & Ben Tal, A. (2010). Modelling targetted fetal growth in different nutritional environments. In The 46th Applied Mathematics Conference(pp. 66 - 66). : Australia & New Zealand Industrial & Applied Mathematics Society
[Conference Abstract]Authored by: Wake, G.
Wake, GC. (2009, December). Functional differential equations arising in cell-growth. Presented at The New Zealand Mathematics Colloquium. Massey University, Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Wake, G.
Wake, GC., & Begg, RE. (2009). Functional differential equations arising in cell-growth. The International Conference in Mathematics and Applications (ICMA-MU 2009). (pp. 103 - 106).
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Wake, GC., & Begg, RE.(2009). Functional differential equations arising in cell-growth. . Bangkok, Thailand
[Conference Paper]Authored by: Wake, G.
Hassell Sweatman, CZ., & Wake, GC. (2009). A problem in theoretical epigenetics: Modelling gene methylation. Poster session presented at the meeting of The New Zealand Mathematics Colloquium 2009. Massey University, Auckland, New Zealand
[Conference Poster]Authored by: Wake, G.
Kiataramkul, C., Wake, GC., Ben Tal, A., & Lenbury, Y. (2009). Modeling targeted fetal growth in different nutritional environments. In National Research Centre for Growth and Development (NRCGD) Science Symposium(pp. 18 - 18). : National Research Centre for Growth and Development (NRCGD)
[Conference Abstract]Authored by: Wake, G.
Wake, GC., Kiataramkul, C., Ben Tal, A., & Lenbury, Y. (2009). Modeling targeted fetal growth in different nutritional environments. In The 12th Manawatu-Wellington Applied Mathematics Conference(pp. 6 - 6). : Industrial Research Ltd
[Conference Abstract]Authored by: Wake, G.
Wake, GC. (2009). Modelling cancer treatment. In Second International Conference and Workshops on Basic and Applied Sciences (ICOWOBAS) and Regional Annual Fundamental Science Seminar (RAFSS)(pp. 1 - 1). : Universiti Teknologi Malaysia
[Conference Abstract]Authored by: Wake, G.
Wake, GC. (2009, June). Industrial mathematics initiatives - an overview. Presented at Industrial Mathematics Workshop. Johor Bahru, Malaysia.
[Conference Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009, June). The flourishing of Maths in industry down under. Presented at Oxford Centre for Collaborative Applied Mathematics Launch Event. The University of Oxford, Oxford, UK.
[Conference Oral Presentation]Authored by: Wake, G.
Harper, SA., McKibbin, R., & Wake, GC. (2010). An Advection-Dispersion Model for Spray Droplet Transport Including Interception by a Shelterbelt. In AD. Fitt, J. Norbury, H. Ockendon, & RE. Wilson (Eds.) PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2008. Vol. 15 (pp. 869 - 874). : 15th European Conference on Mathematics for Industry
[Conference Paper in Published Proceedings]Authored by: McKibbin, R., Wake, G.
Wake, GC., & McKibbin, R. (2008). Prediction of heat loss and energy requirements in steel-making vessels. In J. Hewitt, & K. White (Eds.) Proceedings of the 2003 Mathematics-in-Industry Study Group. (pp. 116 - 127).
[Conference Paper in Published Proceedings]Authored by: McKibbin, R., Wake, G.
Wake, GC. (2008, June). Mathematics in agriculture and its impact on health. Presented at ECMI: The European Consortium for Mathematics in Industry Conference. London, England.
[Conference Oral Presentation]Authored by: Wake, G.
Wake, GC., & McKibbin, R. (2008, February). Heating sequences during making of steel from ironsands. Presented at 2003 Mathematics-in-Industry Study Group. Adelaide, SA.
[Conference Oral Presentation]Authored by: McKibbin, R., Wake, G.
Wake, GC. (2008). Mathematics in agriculture and its impact on health. In Proceedings of ECMI: The European Consortium for Mathematics in Industry(pp. unpaged). : ECMI
[Conference Abstract]Authored by: Wake, G.
Wake, GC., & McKibbin, R. (2008). Heating sequences during making of steel from ironsands. Proceedings of the 2003 Mathematics-in-Industry Study Group. (pp. 116 - 127).
[Conference Paper in Published Proceedings]Authored by: McKibbin, R., Wake, G.
Wake, GC. (2008). A distributed-delay DE (DDDE) model for the nitrogen cycle in pasture. In Proceedings of the 15th Biennial Conference of the European Consortium in Industry(pp. 85 - 87). : Institute for Mathematics and its Application
[Conference Abstract]Authored by: Wake, G.
McGillivray, N., O'Connor, M., McKibbin, R., & Wake, GC. (2008). Prediction of heat loss and energy requirements in steel-making vessels [project summary]. In Proceedings of the 2003 Mathematics-in-Industry Study Group(pp. 16 - 19). : MISG
[Conference Abstract]Authored by: McKibbin, R., Wake, G.
Wake, G., & Begg, RE. (2007). Functional differential equations arising in cell-growth. PAMM. Vol. 7 (pp. 2120025 - 2120026). : Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and Gesellschaft fur Angewandte Mathematik und Mechanik [GAMM] Annual Meeting
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Begg, RE., & Wake, GC. (2007, September). Results on the eigenvalues of some nonlocal differential equations. Presented at 51st Annual Meeting of the Australian Mathematical Society. La Trobe University, Melbourne, VIC.
[Conference Oral Presentation]Authored by: Wake, G.
Pimpunchat, B., Sweatman, WL., Triampo, W., Wake, GC., & Parshotam, A. (2007). Modelling river pollution and removal by aeration. In MODSIM 2007 International Congress on Modelling and Simulation. Land, Water and Environmental Management: Integrated Systems for Sustainability(pp. 366). : Modelling and Simulation Society of Australia and New Zealand
[Conference Abstract]Authored by: Wake, G.
Pimpunchat, B., Sweatman, WL., Triampo, W., Wake, GC., & Parshotam, A. (2007). Modelling river pollution and removal by aeration. MODSIM07 - Land, Water and Environmental Management: Integrated Systems for Sustainability, Proceedings. (pp. 2431 - 2437).
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Wake, GC. (2007). Inverse methods for identifying foreign objects from the processing of microwave signals. Presented at Symposium to mark the retirement of Professor Boris S Pavlov: With special emphasis on Modern Trends in Spectral and Inverse Problems. University of Auckland, Auckland, NZ.
[Conference Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007). Spectral properties of non-local eigenvalue problems. In Proceedings of the 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society(pp. 63 - 64). : Victoria University of Wellington
[Conference Abstract]Authored by: Wake, G.
Wake, GC. (2007). Modelling of cancer treatment. In Proceedings of the 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society(pp. 26 - 27). : Victoria University of Wellington
[Conference Abstract]Authored by: Wake, G.
Begg, RE., & Wake, GC. (2007). Results on the eigenvalues of some nonlocal differential equations. In 51st Annual Meeting of the Australian Mathematical Society(pp. 66). : La Trobe University
[Conference Abstract]Authored by: Wake, G.
Wake, GC., & Pleasants, AB. (2007, September). Adding up your health and counting up your food: Mathematics in medicine and agriculture. Presented at New Zealand Association of Mathematics Teachers 10th Biennial Conference. Auckland, NZ.
[Conference Oral Presentation]Authored by: Wake, G.
Pimpunchat, B., Sweatman, WL., Triampo, W., Wake, GC., & Parshotam, A. (2007). Modelling river pollution and removal by aeration. Proceedings of the 4th Annual Post Graduate Conference of the Institute of Information and Mathematical Sciences. (pp. 38 - 44).
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Wake, GC., & Pleasants, AB. (2007). Adding up your health and counting up your food: Mathematics in medicine and agriculture. In New Zealand Association of Mathematics Teachers 10th Biennial Conference(pp. 50). : New Zealand Association of Mathematics Teachers
[Conference Abstract]Authored by: Wake, G.
Wake, GC. (Ed.)(2007). Proceedings of the 2006 Mathematics-In-Industry Study Group. In Proceedings of the 2006 Mathematics-In-Industry Study Group. Massey University, Auckland, NZ: Massey University, Mathematics-In-Industry Study Group
[Conference Other]Edited by: Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2006). Microwave scattering at malignant tissue boundaries: A new method for breast screening. 2006 SICE-ICASE International Joint Conference. (pp. 193 - 197).
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC.(2006, October). Microwave scattering at malignant tissue boundaries: A new method for breast screening. 2006 SICE-ICASE International Joint Conference, Vols 1-13. (pp. 3931 - 3935).
[Conference]Authored by: Wake, G.
Senaratne, GG., Sweatman, WL., Wake, GC., & Keam, RB. (2006). Microwave scattering at malignant tissue boundaries: A new method for breast screening. In Society of Instrument and Control Engineers (SICE) - Institute of Control, Automation and Systems Engineers (ICASE) International Joint Conference(pp. 89). : SICE/ICASE
[Conference Abstract]Authored by: Sweatman, W., Wake, G.
Wake, GC. (2006, October). Effective thermal conductivity of composite materials - with application to frozen foods. Presented at 9th Manawatu-Wellington Applied Mathematics Conference. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Wake, G.
Wake, GC. (2006). Effective thermal conductivity of composite materials - with application to frozen foods. In 9th Manawatu-Wellington Applied Mathematics Conference(pp. 6). : ANZIAM
[Conference Abstract]Authored by: Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2005). Solutions to the two-dimensional microwave scattering problem: A new approach for breast tumour detection. In J. Mann, S. Alexander, & R. Lal (Eds.) Proceedings of the Second Annual Postgraduate Conference of the Institute of Information and Mathematical Sciences. (pp. 156 - 164). Auckland, NZ
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2005). Inverse methods for detection of internal objects using microwave technology: With potential for breast screening. In D. Lesnic (Ed.) 5th International Conference on Inverse Problems in Engineering: Theory and Practice. Vol. 3 (pp. 1 - 10). Leeds, UK
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2005). A new approach to breast tumour detection using microwave frequencies: A two-dimensional model. In GS. Gupta, SC. Mukhopadhyay, & CHM. Eds (Eds.) Proceedings of the First International Conference of Sensing Technology. (pp. 460 - 465). Palmerston North, NZ
[Conference Paper in Published Proceedings]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2005, July). Inverse methods for detection of internal objects using microwave technology: With potential for breast screening. Presented at 5th International Conference on Inverse Problems in Engineering: Theory and Practice. Cambridge, UK.
[Conference Oral Presentation]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2005, November). A new approach to breast tumour detection using microwave frequencies: A two-dimensional model. Presented at 1st International Conference on Sensing Technology. Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2004). Microwave signal processing for breast cancer detection. Poster session presented at the meeting of 1st Institute of Information and Mathematical Sciences Postgraduate Conference. Massey University, Auckland, NZ
[Conference Poster]Authored by: Sweatman, W., Wake, G.
Senaratne, GG., Keam, RB., Sweatman, WL., & Wake, GC. (2004). Microwave signal processing for breast cancer detection. (pp. 8). , 1st Institute of Information and Mathematical Sciences Postgraduate Conference Auckland, NZ: Massey University, Institute of Information and Mathematical Sciences
[Conference Abstract]Authored by: Sweatman, W., Wake, G.
Lesnic, D., & Wake, GC. (2007). A mollified method for the solution of the Cauchy problem for the convection-diffusion equation. Inverse Problems in Science and Engineering. Vol. 15 (pp. 293 - 302).
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Wake, GC., & Pleasants, AB. (2003). Calculating animal performance from limited liveweight measurments of the population. Proceedings of the New Zealand Society of Animal Production. Vol. 63 (pp. 173 - 175). Wellington, NZ: New Zealand Society of Animal Production Conference 2003
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Broadbridge, P., & Wake, GC. (2001). A comparison of bearing life in new and rerurbished railway axle boxes. In JH. Ed (Ed.) Mathematics-in-Industry Study Group: Proceedings. (pp. 78 - 90). Parkville, VIC
[Conference Paper in Published Proceedings]Authored by: Wake, G.
Vetharaniam, I., Davis, SR., Soboleva, TK., Shorten, PR., & Wake, GC. (2001). Modelling the impact of milking frequency on lactation. In Proceedings of the New Zealand Society of Animal Production Vol. 61 (pp. 239 - 240). Wellington, NZ: New Zealand Society of Animal Production
[Conference Abstract]Authored by: Wake, G.
Wake, GC., Roberts, MG., Wall, DJ., & Yamamoto, S. (2001). Illustrative examples and theory of a Kermack-McKendrick model applied to infectious diseases. IMA Conference on Mathematical Modelling and Statistical Analysis of Infectious Diseases. (pp. 201 - 205). Cardiff, UK
[Conference Paper in Published Proceedings]Authored by: Roberts, M., Wake, G.
Hood, MJ., & Wake, GC.Gel'fand's equation in spherical domains: II. Further results and the spherical annulus revisited. Mathematical and Computer Modelling. 24 (8)(pp. 47 - 54). 0895-7177.
[Conference]Authored by: Wake, G.
Balakrishnan, E., Swift, A., & Wake, GC.Critical values for some non-class A geometries in thermal ignition theory. Mathematical and Computer Modelling. 24 (8)(pp. 1 - 10). 0895-7177.
[Conference]Authored by: Wake, G.
Swift, A., Balakrishnan, E., & Wake, GC. (1996). Multiple steady state solutions and shape factors for a combustion problem. In ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik Vol. 76 (pp. 509 - 510).
[Conference Abstract]Authored by: Wake, G.
Pleasants, AB., Hendy, SC., Wake, GC., & McCall, DG.Investigation of optimal grazing strategies for wool production when model parameters are uncertain. Mathematics and Computers in Simulation. 39 (3-4)(pp. 213 - 218). 0378-4754.
[Conference]Authored by: Wake, G.

Other

Wake, GC., & Byrne, HM. (2012, May). Calculus in the past with multiple delays arising in cancer cell modelling. In Department of Mathematics, Faculty of Science, University of Auckland. : Australian Mathematical Society.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2012, April). Counting the elements...earth, fire, water, air and life. In Rotary Club of Whangaparaoa Inc..
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009). Spontaneous ignition - assessment of cause. Presented at Universiti Teknologi Malaysia, Malaysia.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009). Spontaneous ignition - assessment of cause. Presented at National University of Singapore, Singapore.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009). Spontaneous ignition - assessment of cause: a recent marine insurance claim. Presented at University of Leeds, Leeds, UK.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009). A model for phenotype change in a stochastic framework. Presented at Shanghai, China.
[Oral Presentation]Authored by: Wake, G.
Wake, GC., & Suebcharoen, T. (2009, February). Blasts from the past: Population models with delays. In Australian Mathematical Society. Presented at Caloundra, QLD.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2009). Industrial mathematics initiatives. Presented at Massey University, Albany, Auckland..
[Oral Presentation]Authored by: Wake, G.
Wake, G., Pleasants, A., Beedle, A., & Gluckman, P.A model for phenotype change in a stochastic framework.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Modelling of cancer treatment. Presented at Toronto, ON.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Industrial mathematics initiatives in the Western Pacific region. Presented at Bangkok.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Functional differential equations arising in cell-growth. Presented at Mahidol University, Bangkok.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Modelling of cancer treatment. Presented at University of Leeds, UK.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Heat transfer: Spontaneous ignition-assessment of cause. Presented at Bangkok.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2008). Spontaneous ignition: Assessment of cause. Presented at Auckland, NZ.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007, August). Making your business count. In Connect NZ. Presented at Christchurch, NZ.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007). Critical initial conditions revisited and critical (variable with time) boundary conditions for thermal ignition. Presented at Lower Hutt, NZ.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007, July). Industrial mathematics initiatives in the Western Pacific region. In 6th International Congress on Industrial and Applied Mathematics. Presented at Zurich, Switzerland.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007, July). Functional differential equations arising in cell-growth models. In 6th International Congress on Industrial and Applied Mathematics. Presented at Zurich, Switzerland.
[Oral Presentation]Authored by: Wake, G.
Wake, GC. (2007). Mathematical modelling of cancer treatment. Presented at University of Limerick, Ireland.
[Oral Presentation]Authored by: Wake, G.
Tee, G., & Wake, GC. (2007). Obituary: Leslie Woods.
[Other]Authored by: Wake, G.
Wake, GC. (2006). Modelling of cancer treatment. Presented at Victoria University of Wellington, NZ.
[Oral Presentation]Authored by: Wake, G.

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