Books

• A. Deutsch, L. Brusch, H. Byrne, G. de Vries, and H. Herzel (Eds.), Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis, Birkhauser, Boston, 2007.
  
• G. de Vries, T. Hillen, M. Lewis, J.Muller, and B. Schoenfisch, A Course in Mathematical Biology: Quantitative Modelling with Mathematical and Computational Methods, Society for Industrial and Applied Mathematics, Philadelphia, 2006.  For information on the book, including the opportunity to buy the book, click here.  To obtain supplementary materials for the book, click here.
  

Refereed Publications

• S.P. Norris, N. Stelnicki, and G. de Vries, Teaching mathematical biology in high school using adapted primary literature, Res. Sci. Educ. (10.1007/s11165-011-9215-8, April 2011).
  
• V. Rajani, G. Carrero, D.E. Golan, G. de Vries, and C.W. Cairo, Analysis of molecular diffusion by first-passage time variance identifies the size of confinement zones, Biophys J., 100 (2011), pp. 1463-1472.
  
• N. Stelnicki, J. Braga, G. de Vries, and S.P. Norris, Using adapted primary literature to teach high school science, Alberta Science Education Journal, 41 (2011), pp. 11-15.
  
• T. Hillen, G. de Vries, J. Gong, and C. Finlay, From cell population models to tumour control probability: including cell cycle effects, Acta Oncologica, 49 (2010), pp. 1315-1323.
  
• S.P. Norris, J.S. Macnab, M. Wonham, and G. de Vries, West Nile virus: Using adapted primary literature in mathematical biology to teach scientific and mathematical reasoning in high school, Res. Sci. Educ., 39 (2009), pp. 321-329.
  
• R. Eftimie, G. de Vries, and M.A. Lewis, Weakly nonlinear analysis of a hyperbolic model for animal group formation, J. Math. Biol., 59 (2009), pp. 37-74.
• G. de Vries and R.E. Plant, Plant model, Scholarpedia 2(10) (2007), p. 1413.   http://www.scholarpedia.org/article/Plant_Model
• G. de Vries and T. Hillen, Teaching mathematical biology in a summer school for undergraduates, in Mathematical Modeling of Biological Systems, Volume II: Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods, A. Deutsch, R. Bravo de la Parra, R. de Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky, and H. Metz, editors, Birkhauser, Boston, 2008, pp. 369-377.
  
• R. Eftimie, G. de Vries, and M.A. Lewis, Complex spatial group patterns result from different animal communication mechanisms, PNAS (10.1073/pnas.0611483104), 104 (2007), pp. 6974-6979.
• G. de Vries, Textiles - Math = 0, Textiles + Math = Infinity: Mathematical Approaches in Quilt Design, in Proceedings of the 10th Biennial Symposium of the Textile Society of America, Textile Society of America, Earleville, MD, 2007, pp. 228-234.
  
• R. Eftimie, G. de Vries, M.A. Lewis, and F. Lutscher, Modeling group formation and activity patterns in self-organizing collectives of individuals, Bull. Math. Biol. (10.1007/s11538-006-9175-8, 2006), 69 (2007), pp. 1537-1565.
  
• D. McDonald, G. Carrero, C. Andrin, G. de Vries, and M.J. Hendzel, Nucleoplasmic beta-actin exists in a dynamic equilibrium between low mobility polymeric species and rapidly diffusing populations, J. Cell Biology, 172 (2006), pp. 541-552.
  
• G. Carrero, M.J. Hendzel, and G. de Vries, Modelling the compartmentalization of splicing factors, J. Theor. Biol., 239 (2006), pp. 298-312.
  
• G. de Vries and A. Sherman, Beyond synchronization: Modulatory and emergent effects of coupling in square-wave bursting, in Bursting: The Genesis of Rhythm in the Nervous System, S. Coombes and P.C. Bressloff, editors, World Scientific Publishing, London, 2005, pp. 243-272.
  
• G. de Vries, Modulatory effects of coupling on bursting maps, in Bursting: The Genesis of Rhythm in the Nervous System, S. Coombes and P.C. Bressloff, editors, World Scientific Publishing, London, 2005, pp. 223-242.
• G. Carrero, E. Crawford, M.J. Hendzel, and G. de Vries, Characterizing fluorescence recovery curves for nuclear proteins undergoing binding events, Bull. Math. Biol., 66 (2004), pp. 1515-1545.
  
• G. Carrero, E. Crawford, J. Th'ng, G. de Vries, and M.J. Hendzel, Quantification of protein-protein and protein-DNA interactions in vivo using fluorescence recovery after photobleaching, Methods Enzymol., 375 (2004), pp. 415-442.
• G. de Vries, The effect of coupling, noise, and heterogeneity on bursting oscillations, Can. Appl. Math. Q., 11 (2003), pp. 29-50.
• M.J. Riedel, P. Boora, D. Steckley, G. de Vries, and P.E. Light, Kir6.2 polymorphisms sensitize beta-cell ATP-sensitive potassium channels to activation by Acyl CoAs: A possible cellular mechanism for increased susceptibility to type 2 diabetes?  Diabetes, 52 (2003), pp. 2630-2635.
• G. Carrero, D. McDonald, E. Crawford, G. de Vries, and M.J. Hendzel, Using FRAP and mathematical modeling to determine the in vivo kinetics of nuclear proteins, Methods, 29 (2003), pp. 14-28. 
• G. de Vries, Bursting as an emergent phenomenon in coupled chaotic maps, Phys. Rev. E, 64 (2001), article number  051914 (9 pages). 
• G. de Vries and A. Sherman, From spikers to bursters via coupling: Help from heterogeneity, Bull. Math. Biol., 63 (2001), pp. 371-391.
• G. de Vries and A. Sherman, Channel sharing in pancreatic beta-cells revisited: Enhancement of emergent bursting by noise, J. Theor. Biol., 207 (2000), pp. 513-530. 
• B. Topp, K. Promislow, G. de Vries, R.M. Miura, and D.T. Finegood, A model of beta-cell mass, insulin and glucose kinetics: Pathways to diabetes, J. Theor. Biol., 206 (2000), pp. 605-619. 
• S.R.J. Hoare, G. de Vries, and T.B. Usdin, Measurement of agonist and antagonist ligand binding parameters at the human parathyroid hormone type 1 receptor: evaluation of receptor states and modulation by guanine nucleotide, J. Pharmacol. Exp. Ther., 289 (1999), pp. 1323-1333. 
• T.A. Kinard, G. de Vries, A. Sherman, and L.S. Satin, Modulation of the bursting properties of single mouse pancreatic beta-cells by artificial conductances, Biophys. J., 76 (1999), pp. 1423-1435. 
• G. de Vries, A. Sherman, and H-R. Zhu, Diffusively coupled bursters: Effects of cell heterogeneity, Bull. Math. Biol., 60 (1998), pp. 1167-1199. 
• G. de Vries, Multiple bifurcations in a polynomial model of bursting oscillations, J. Nonlinear Science, 8 (1998), pp. 281-316. 
• G. de Vries and R.M. Miura, Analysis of a class of models of bursting electrical activity in pancreatic beta cells, SIAM J. Appl. Math., 58 (1998), pp. 607-635.
• G. de Vries, R.M. Miura, and M. Pernarowski, Analysis of models of pancreatic beta cells exhibiting temporal pattern formation, in Pattern Formation: Symmetry Methods and Applications, J. Chadam, M. Golubitsky, W. Langford, and B. Wetton, eds., The Fields Institute Communications, Vol. 5, American Mathematical Society, Providence, RI, 1996, pp. 143-164.
• G. de Vries, R.M. Miura, and M. Pernarowski, Parameter studies for an analog model of bursting electrical activity, in Differential Equations and Applications to Biology and to Industry, M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, eds., World Scientific, Singapore, 1996, pp. 385-392.

Letters to the Editor

• C. Meyer, G. de Vries, S.T. Davidge, and D.C. Mayes, Reassessing the mathematical modeling of the contribution of vasomotion to vascular resistance, J. Applied Physiol., 92 (2002), pp. 888-889.

Published Abstracts

• G. de Vries, Quilts as mathematical objects: From traditional to contemporary, Proceedings of the 10th Biennial Symposium of the Textile Society of America, Textile Society of America, 2007.
  
• L.S. Satin, T.A. Kinard, G. de Vries, and A. Sherman, Heterogenous fast bursting in single mouse beta-cells, Diabetes, 47 (1998), pp. A264 1027 Suppl. 1.
  
• T.A. Kinard, G. de Vries, A. Sherman, and L.S. Satin, Single B-cells from mouse pancreatic islets exhibit a fast form of bursting which does not require free [Ca++] accumulation, Biophys. J., 74 (1998), pp. A101 Part 2.
• T.A. Kinard, L.S. Satin, G. de Vries, and A. Sherman, Titrating KATP conductances into single insulin-secreting cells via dynamic clamping, Biophys. J., 72 (1997), pp. A250.

Non-Refereed/Other Publications

• G. de Vries, Sierpinski Meets Mondrian, in Bridges Images: Connections of Mathematics and Art, A souvenir booklet for the 2006 Bridges Conference, P. Kent, editor, Bridges Conference and the London Knowledge Lab, 2006, pp. 14-15.
• G. de Vries, Looking for a career that counts?  Stephanie Wichuk is not alone, WISEST Newsletter, University of Alberta, Fall 2005.
• G. de Vries, Analysis of mathematical models for bursting electrical activity in pancreatic beta cells, in Mathematical Models for Bioengineering and Probabilistic Systems, J.C. Misra, editor, Narosa Publishing House, New Delhi, 2004, pp. 221-243.
• L.S. Satin, T.A. Kinard, A. Sherman, and G. de Vries, Dynamic clamping of excitable cells: A window into the role of ion channels in excitability, Axobits 19, November 1996.
• G. de Vries, Analysis of Models of Bursting Electrical Activity in Pancreatic Beta Cells, Ph.D. Thesis, University of British Columbia, 1995.