Mathematics of Information Technology and Complex Systems

Project Highlights
Team Members
Partner Organizations


Last updated: Nov 1, 2005

Refereed Contributions


Published and accepted
Colijn C, Mackey MC (2005) A mathematical model of hematopoiesis: Periodic chronic myelogenous leukemia, part I, J. Theor. Biol. 237: 117-132. (S)

Colijn C, Mackey MC (2005) A mathematical model of hematopoiesis: Cyclical neutropenia, part II, J. Theor. Biol. 237: 133-146. (S)

Coombs D, Goldstein B (2005) T Cell Activation: Kinetic Proofreading, Serial Engagement and Cell Adhesion, J. Comput. Appl. Math. 184: 121-139.

Cytrynbaum EN, Sommi P, Brust-Mascher I, Scholey JM and Mogilner A (2005) Early Spindle Assembly in Drosophila Embryos: Role of a Force-balance Involving Cytoskeletal Dynamics and Nuclear Mechanics, Mol. Biol. Cell 16: 4967-81.

Gonzalez PA, Carreno LG, Coombs D, Mora JE, Palmieri E, Goldstein B, Nathenson SG, Kalergis AM (2005) Effects of pMHC density and TCR dwell time on T cell activation. Proc. Natl. Acad. Sci. USA 102: 4824-4829.

Han B, Serra P, Amrani A Yamanouchi J, Maree AFM, Edelstein-Keshet L, Santamaria P (2005) Prevention of diabetes by manipulation of anti-IGRP autoimmunity: high efficiency of a low-affinity peptide. Nature Medicine (June) 11 (6): 645-652.

Mackey MC, Santillan M (2005) Mathematics, biology and physics: interactions and interdependence, Notices of the American Mathematical Society 52(8): 832-840.

Maree AF, Komba M, Dyck C, Labecki M, Finegood DT, Edelstein-Keshet L (2005) Quantifying macrophage defects in type 1 diabetes. J Theor Biol. 233: 533-551. (S)

Palmqvist L, Glover CH, Hsu L, Lu M, Bossen B, Piret JM, Humphries RK, Helgason CD (2005) Correlation of murine embryonic stem cell gene expression profiles with functional measures of pluripotency, Stem Cells 23: 663-680. (S)

Pujo-Menjouet L, Bernard S, Mackey MC (2005) Long period oscillations in a G0 model of hematopoietic stem cells, SIAM J. Appl. Dynam. Sys. 4(2): 312- 332.(S)

Santillan M, Mackey MC (2005) Dynamic behaviour of the B12 riboswitch, Phys. Biol. 2: 29-35. (S)

Submitted Publications
Dustin ML, Starr T, Coombs D, Majeau GR, Meier W, Hochman PS, Douglass A, Vale R, Goldstein B, Whitty A. (2005) Immunoadhesin mechanism predicts acute target discrimination by epitope density. Submitted.

Drobnjak I, Fowler AC, Mackey MC (2004) Oscillations in a maturation model of blood cell production, J. Math. Biol., submitted.

Non-referreed contributions

Papers (and abstracts) in non-refereed conference proceedings

Piret JM, Glover CH, Marin M, Chaudhry MAS, Eaves CJ, Bowen BD, Humphries RK, Helgason CD, Bryan J (2005) Investigations of murine embryonic stem cell maintenance by analyses of culture variables and gene expression profiling, Proceedings of the 19th ESACT meeting (Harrogate).

Dushek, O and Coombs, D (2005) Modeling TCR Mobility and T Cell Repolarization. American Society for Cell Biology Annual Meeting. (S)

Ball, C and Coombs, D (2005) Modeling Virus Competition Dynamics Within a Single Host. American Society for Cell Biology Annual Meeting. (S)

Marin M, Glover CH, Piret JM, Bryan J. Novel meta-analysis of disparate data sets in stem cell culture. 13th Annual International Conference on Intelligent Systems for Molecular Biology, Michigan , June 2005. (S)

Glover CH, Marin M, Humphries RK, Helgason CD, Bryan J, Piret JM. Correlation of gene expression changes with functional assay readout during early differentiation of mouse embryonic stem cells. Molecular Regulation of Stem Cells Keystone Symposium, Banff, AB, Feb 2005.(S)

Catherine Foley, Treatment strategies for cyclical neutropenia using a DDE model. CAIMS annual meeting, Winnipeg, June 2005. (S)

2005 Theses

M.Sc. Thesis: Michael Marin, M.Sc. (UBC) 2005 A novel meta-analysis of disparate datasets in stem cell culture.

M.Sc. Thesis: Richard Kublik, M.Sc. (UBC Mathematics) Modelling the onset of Type 1 diabetes, April 2005

M.Sc. Thesis: Alexandra Jilkine, M.Sc. (UBC Mathematics) Mathematical Study of Rho GTPases in Motile Cells, October, 2005


Published and accepted
Bernard S., J. Belair, M.C. Mackey (2004) Bifurcations in a white blood cell production model, Comptes Rendus Biologies 327: 201-210.(S)

Mostafa Adimy, Fabien Crauste, Laurent Pujo-Menjouet (2004) On the stability of a nonlinear maturity structured model of cellular proliferation, Discrete and Continuous Dynamical Systems - B (in press)(S)

Mackey MC, Santillan M, Yildirim N (2004) Modeling operon dynamics: The tryptophan and lactose operons as paradigms, Comptes Rendus Biologies 327, 211-224. (S)

Pujo-Menjouet L., M.C. Mackey (2004) Contribution to the study of periodic chronic myelogenous leukemia, Comptes Rendus Biologies 327: 235-244. (S)

Pujo-Menjouet L., S. Bernard, M.C. Mackey. (2004) The origin of long period CML oscillations in a G0 model of hematopoietic stem cells, in press, SIAM Journal on Applied Dynamical Systems.(S)

Santillan M, Mackey MC (2004) Why the lysogenic state of phage lambda is so stable: a mathematical modelling approach, Biophy. J. 86: 75-84.

Santillan M, Mackey MC (2004) Influence of catabolite repression and inducer exclusion on the bistable behavior of the lac operon, Biophy. J. 86: 1282-1292.

Topp, B.G., McArthur, M.D., Finegood, D.T. Metabolic adaptations to chronic glucose infusion. Diabetologia, 47: 1602-1610.(S)

Yildirim N., M. Santillian, D. Horike , M.C. Mackey (2004) Dynamics and bistability in a reduced model of the lactose operon, Chaos 14: 279-292.

Link to preprints from the Mackey group.

Books Published (2004)

Mahaffy J, Chavez-Ross A (2004) Calculus: A modeling approach for the Life Sciences, Pearson custom publishing. (Note: Chavez-Ross is an alumni MITACS-PDF with Keshet).


Adimy M, Pujo-Menjouet L (2003) Asymptotic behavior of a singular transport equation modelling cell division, Discrete and Continuous Dynamical Systems - B, Vol. 3, Number 3, August 2003, 439-456. (S)

Adimy M, Pujo-Menjouet L (2003) A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. Electronic Journal Of Differential Equations, Volume 2003, Number 107, 1-14. (S)

Bernard S, Pujo-Menjouet L, Mackey MC (2003) Analysis of cell kinetics using a cell division marker: Mathematical analysis of experimental data, Biophy. J. 84: 3414-3424. (S)

Bernard S., J. Belair, M. C. Mackey, (2003) Oscillations in cyclical neutropenia: new evidence based on mathematical modeling, J. Theor. Biol. 223, 283-298

Bernard S, Belair J, Mackey MC (2003) Oscillations in cyclical neutropenia: New evidence for origins based on mathematical modeling, J. theor. Biol. 223: 283-298. (S)

Boushey RP, Abadir A, Flamez D, Baggio LL, Li Y, Marshall BA, Finegood DT, Koh TJ, Wang TC, Schuit F, Drucker DJ (2003) Hypoglycemia and defective glucagons secretion in mice with a targeted disruption of the gastrin gene. (Accepted, Gastroenterology, 2003).

Hamilton J, Cummings E, Zdravkovic V, Finegood DT, Daneman D (2003) Metformin as an adjunct therapy in adolescents with type 1 diabetes and insulin resistance. Diabetes Care 26: 138-43.

Luca M, Chavez-Ross A, Edelstein-Keshet L, Mogilner A (2003) Chemotactic signaling, and Alzheimerĺs Disease Senile Plaques: is there a connection? Bull Math Biol, 65 (4): 693-730. (S)

Mackey MC, Aprikyan AG, Dale DC (2003) The rate of apoptosis in post mitotic neutrophil precursors of normal and neutropenic humans, Cell Prolif. (2003) 36: 27-34.

Ran I, Miura RM, Puil E (2003) Spermine modulates neuronal excitability and NMDA receptors in juvenile gerbil auditory thalamus, Hearing Research. 176: 65-79. (S)

Shapiro AM, Hao EG, Lakey JRT, Finegood DT, Rajotte RV, Kneteman NM (2002) Defining optimal immunosuppression for islet transplantation based on reduced diabetogenicity in canine islet autografts - synergistic toxicity from combined glucocorticoid and calcineurin inhibitor therapy. Transplantation 74(11): 1522-8.

Trudeau JD, Kelly-Smith C, Verchere CB, Elliot JF, Dutz JP, Finegood, DT, Santamaria P, Tan R (2003) Prediction of spontaneousautoimmune diabetes by quantification of autoreactive T cells in peripheral blood. J. Clin. Invest. 111(2): 217-23.

Wilson, JMB, Khabazian I, Pow DV, Craig,U-K, & Shaw CA (2003). Decrease in glial glutamate transporter variants and excitatory amino acid receptor down-regulation in a murine model of ALS-PDC. NeuroMolecular Medicine 3(3):41-53.

Yildirim N, Mackey MC (2003) Feedback regulation in the lactose operon: A mathematical modeling study and comparison with experimental data", Biophy. J, 84: 2841-2851.


Bergman R, Finegood DT, Kahn SE (2002) The evolution of beta-cell dysfunction and insulin resistance in type 2 diabetes. Eur J Clin Invest Jun;32 Suppl 3:35-45.

Eurich C, Mackey MC, Schwegler H (2002) Recurrent Inhibitory Dynamics: The role of state-dependent distributions of conduction delay times", J.theor Biol., 216, 31-50.

Khabazian I, Bains JS, Williams DE, Cheung J, Wilson JMB, Pasqualotto BA, Pelech SL, Andersen RJ, Wang Y-T, Liu L, Nagai A, Kim SU, Craig U-K, Shaw, CA (2002) Isolation of various forms of sterol b-d-glucoside from the seed of cycas circinalis: neurotoxicity and implications for ALS-PDC. J. Neurochem. 82: 1-13, (2002).

Wilson JMB, Khabazian I, Wong MC, Seyedalikhani A, Bains JS, Pasqualotto BA, Williams DE, Andersen RJ, Simpson R J, Smith R, Craig UK, Kurland LT, and Shaw, CA (2002) Behavioral and neurological correlates of ALS-parkinsonism dementia complex in adult mice fed washed cycad flour. J. Neuromol. Med. 1(3): 207-222.


Adimy M, Pujo-Menjouet L (2001) A singular transport model describing cellular division. Compte rendu de l'Acadmie des Sciences de Paris, t.332, Srie I:1-6. (S)

Bernard S, Belair J, Mackey MC (2001) Sufficient conditions for stability of linear differential equations with distributed delay, Discrete & Continuous Dynamical Sys 1:233-256. (S)

Edelstein-Keshet L, Israel A, Lansdorp P (2001) A modeller's perspectives on aging: Can Mathematics help us stay young? J theor Biol 213 (4): 325-355. (S)

Edelstein-Keshet L, Spiros A (2001) Exploring the formation of Alzheimerĺs senile plaque in silico, J theor Biol 216:301-326. (S)

Finegood DT, McArthur MD, Kojwang D, Thomas MJ, Topp BG, Leonard T, Buckingham. (2001) b-cell mass dynamics in Zucker diabetic fatty rats. Rosiglitazone prevents the rise in net cell death. Diabetes 50(5):1021-9. (S)

Finegood DT and Topp BG. (2001) b-Cell Deterioration - Prospects for Reversal or Prevention. Diabetes Obes Metab. Aug;3 Suppl 1:S20-7. (S)

Fowler A, Mackey MC (2001) Relaxation oscillations in a class of delay differential equations, SIAM J. Appl. Math. (in press) (S)

Kold-Andersen Louise, Mackey MC (2001) Resonance in periodic chemotherapy: A case study of acute myelogenous leukemia, J. Theor. Biol. 209: 113-130. (S)

Luca M, Chavez-Ross A, Mogilner A, Edelstein-Keshet L (2001) The role of chemotactic signaling in the formation of Alzheimer's Disease senile plaques. Accepted subject to revision (Bull Math Biol). (S)

Mackey MC (2001) Cell kinetic status of hematopoietic stem cells, Cell Proliferation 34: 71-83.

McManus RM, Cunningham I, Watson A, Harker L, Finegood DT (2001) Beta-Cell Function and Visceral Fat in Lactating Women with a History of Gestational Diabetes. Metabolism 50: 715-719.

Santillan M, Mackey MC (2001) Dynamic behaviour in mathematical models of the tryptophan operon, Chaos 11: 261-268.

Santillan M, Mackey MC (2001) Dynamic regulation of the tryptophan operon: A modeling study and comparison with experimental data, Proc. Nat. Acad. Sci. (USA) 98: 1364-1369.

Tyson JJ, Mackey MC (2001) Molecular, Metabolic and Genetic Control: An introduction, Chaos 11: 81-83.

Zhang X-W, Audet J, Piret J, Li YX (2001) Cell cycle distribution of primitive hematopoietic cells stimulated in vitro and in vivo. Cell Proliferation, 34:321-30. (S)


McDonald C, Dunaif A, and Finegood DT (2000) Minimal-model estimates of insulin sensitivity are insensitive to errors in glucose effectiveness, J. Clin. Endocrinol. Metab. 85:2504-2508. (S)

Pujo-Menjouet L, Rudnicki R (2000) Global stability of Cellular Populations with unequal Division . Canadian Applied Mathematics Quarterly, Vol. 8, Number 2, 185-202. (S)

Santillan M, Mahaffy JM, Belair J, Mackey MC (2000) Regulation of platelet production: the normal response to perturbation and cyclical platelet diseaseö, J. theor. Biol 206: 585-603.

Topp BG, Promislow K, de Vries G, Miura RM, Finegood DT (2000) A model of beta-cell Insulin, and Glucose Kinetics: Pathways to Diabetes. Journal of Theoretical Biology 206(4):605-619. (S)


McEachern JC, Shaw CA, (1999) The plasticity-pathology continuum: defining a role for the LTP phenomenon, J Neurosci. Res. 58:42-61. (S)

Other publications


MSc. Thesis: Alicia Shim, MSc (UBC) 2004 An Epidemic Model with Immigration of Infectives and Vaccination.

PhD. Thesis: Stefan Reinker, PhD (UBC) 2004 Stochastic Resonance in Thalamic Neurons and Resonant Neuron Models. (Note: Reinker was a MITACS-funded trainee during the completion of this thesis, which originated earlier.)


Coombs, D (Dec 6, 2003) Equilibrium behaviour of cell-cell synapses, Math Biology Symposium, CMS winter meeting (Vancouver).

Dawes A (UBC) Actin polymerization and Listeria propulsion, talk in informal session, BIRS workshop: "Mathematical Biology: From Molecules to Ecosystems: The legacy of Lee Segel" (July 8, 2003).(S)

Trudeau JD, Finegood DT (2003) The fate of antigen-specific cytotoxic T cells following syngeneic islet transplantation in non-obese diabetic mice. Federation of Clinical Immunology Societies 3rd Annual Meeting, Paris, France, May 15-19.

Topp, BG (Dec 6, 2003) The pathogenesis of type 2 diabetes: a dynamical bifurcation? Math Biology Symposium, CMS winter meeting (Vancouver)(S).


MSc Thesis: Amy Norris (UBC) Multivariate analysis and reverse engineering of signal transduction pathways. (S)

MSc Thesis: Cheryl MacDonald (SFU) Mathematical Modelling of Oscillatory Insulin Secretion. (S)

Glover CH, Eaves CJ, Piret JM (October 20th-23rd 2002)Talk: "Optimization of Cell Culture Media through gene expression profiling,, 52nd Canadian Chemical Engineering Conference, Vancouver, BC. (S)

Lipsett M, Finegood DT(2002) ▀-cell neogenesis during prolonged hyperglycemia in rats. Diabetes 51: 1834-1841, 2002.

Maree AFM, Labecki M, and Santamaria P (2002) Modelling affinity maturation in NOD mice and intervention by altered peptide ligants. In Diabetes /Metabolism Research and Reviews 18 Suppl 4: S44.

O'Brien BA, Huang Y, Geng X, Dutz JP, Finegood DT (2002) Phagocytosis of apoptitic cells by macrophages from NOD mice is reduced. Diabetes 51: 2481-2488.

O'Brien BA, Fieldus W, Field C, Finegood DT (2002) Clearance of apoptotic beta cells is reduced in neonatal autoimmune diabetes prone rats. Cell Death and Differentiation 9: 457-464.

Pospisilik JA, Stafford SG, Demuth HU, Brownsy R, Parkhouse W, Finegood DT, McIntosh CHS, Pederson RA (2002) Long-term treatment with the DP IV inhibitor causes sustained improvements in glucose tolerance, insulin sensitivity, hyperinsulinemia and ▀-cell glucose responsiveness in VDF (fa/fa) Zucker rats. Diabetes 51: 943-950.


MSc Thesis: Clive Glover (UBC), Gene Expression Profiling for Hematopoietic Cell Culture, August 2001. (S)

PhD Thesis: Magdalena Luca (UBC), Modelling chemotactic systems in Alzheimerĺs Disease, Nov 2001. (S)



2005 Abstracts, Posters

Now listed on our Presentations web page.


Maree AFM, Kublik R, Huang S, Komba M, Dyck C, Finegood F, Edelstein-Keshet L (2004) Modelling the inflammatory process in Type 1 Diabetes and Alzheimer's Disease, submitted, Physiological Society (for supplement to J Physiol.)

Yiqun, Z., Xuan, G., Finegood, D.T., Santamaria, P., Dutz, J. Blocking the interaction of TLR9 with CPG inhibits the cross-priming of diabetogenic CD8+ T cells and delays autoimmune diabetes. (Submitted, 12th International Congress of Immunology).

Finegood, DT (2004) Impact of Obesity and Physical Activity on the Determinants of Glucose Intolerance and Type 2 Diabetes. Journal of Aging and Physical Activity. 12: 288-89.


Dyck C, Finegood, DT (2003) Mathematical modeling predicts impaired pulsatile insulinsecretion may be a consequence of ▀-cell insulin resistance. Diabetes 52 (Suppl 1): A1609.(S)

Trudeau JD, Finegood DT (2003) The fate of antigen-specific cytotoxic T cells following syngeneic islet transplantation in non-obese diabetic mice. Federation of Clinical Immunology Societies 3rd Annual Meeting, Paris, France, May 15-19.

Topp BG, Finegood DT (2003) Zucker diabetic fatty rats display insufficient ▀-cell replication to compensate for obesity induced increases in the rate of ▀-cell death. Diabetes 52 (Suppl 1): A351.(S)

Topp BG, Dhatt N, Finegood DT (2003) Quantification of glucose induced ▀-cell mass adaptation in vivo. Diabetes 52 (Suppl 1): A380.(S)

Dyck C, Finegood, DT (2003) Mathematical modeling predicts impaired pulsatile insulinsecretion may be a consequence of ▀-cell insulin resistance. Diabetes 52 (Suppl 1): A1609.(S)


Maree AFM, Labecki M, and Santamaria P (2002) Modelling affinity maturation in NOD mice and intervention by altered peptide ligants. In Diabetes /Metabolism Research and Reviews 18 Suppl 4: S44.


McDonald C, Jones J, Finegood DT (2001) Pulsatile insulin secretion may be a consequence of the autocrine actions of insulin on the beta cell. Diabetes 50 (Suppl. 2) A1093P. (S)

McDonald C, Jones J, Finegood DT (2001) Pulsatile insulin secretion may be a consequence of the autocrine actions of insulin on the beta -cell. Beyond Genome: In Silico Biology Conference, San Francisco, USA. (S)

Topp BG, Finegood DT (2001) Insufficient adaptation followed by positive feedback determine hyperglycemia in the ZDF rat. Diabetes 50 (Suppl.2). (S)

Topp BG, Finegood DT (2001) Estimation of insulin sensitivity from fasting glucose and insulin levels: Glucose is irrelevant except when insulin is low. Diabetes 50 (Suppl.2). (S)