Mathematical models for biological systems: physiological regulation, in particular hematopoiesis and interactions between effects of intrinsic cytokines and external pharmaceutical interventions in diseased states. Modeling of infectious diseases, in particular zoonotic diseases and intervention strategies to limit their propagation.
Mathematical techniques based on dynamical systems
(stability, bifurcations, centre manifolds,
normal forms) mainly, but not exclusively, in nonlinear delay differential equations in which a biologically correct meaning and rôle is identified for the time-delays.
Publications
JOURNAL ARTICLES
Shophika Vaithyanathasarma, France Caron, Geneviève Bistodeau-Gagnon, Jacques Bélair. Bringing Back The People in Modeling Epidemics. International Journal of Mathematical Education in Science and Technology (2023) doi:10.1080/0020739X.2023.2249466
Guihong Fan, Juan Li, Jacques bélair, Huaiping Zhu. Delayed Model for the Transmission and Control of COVID-19 with Fangcang Shelter Hospitals. SIAM Journal on Applied Mathematics (2023) 83, 276-301
Alice Vanier and J. Bélair, Oscillatory dynamics in an epidemiological model, Mathematics Applied to Sciences and Engineering, 2022
Pei Yuan, Yi Tan, Liu Yang, Elena Aruffo, Nicholas H. Ogden, Jacques Bélair, Jane Heffernan, Julien Arino, James Watmough, Hélène Carabin, Haiping Zhu. Assessing transmission risks and control strategy for monkeypox as an emerging zoonosis in a metropolitan area. Journal of Medical Virology (2022) 1-15 doi:10.1002/jmv.28137
Pei Yuan, Yi Tan, Liu Yang, Elena Aruffo, Nicholas H. Ogden, Jacques Bélair, Jane Heffernan, Julien Arino, James Watmough, Hélène Carabin, Haiping Zhu. Modelling vaccination and control strategies for outbreaks of monkeypox at gatherings. Frontiers in Public Health (2022) 10:1026489. doi:10.3389/fpubh.2022.10264
Elena Aruffo, Pei Yuan, Yi Tan, Evgenia Gatov, Iain Moyles, Jacques Bélair, James Watmough, Sarah Collier,Julien Arino, Huaiping Zhu. Mathematical modelling of vaccination rollout and NPIs lifting on COVID-19 transmission with VOC: a case study in Toronto, Canada. BMC Public Health 22, 1349 (2022). https://doi.org/10.1186/s12889-022-13597-9
Elena Aruffo, Pei Yuan, Yi Tan, Evgenia Gatov, Sarah Collier, Nicholas H. Ogden, Jacques Bélair, Huaiping Zhu. Community structured model for vaccine strategies to control COVID-19 spread: a mathematical study, PLoS ONE (2022) 17 (10): e0258648
Pei Yuan, Juan Li, Elena Aruffo, Qi Li, Tingting Zheng, Nicholas H. Ogden, Beate Sander, Jane Heffernan, Evgenia Gatov, Effie Gournis, Sarah Collier, Yi Tan, Jun Li, Julien Arino, Jacques Bélair, James Watmough, Jude Dzevela Kong, Iain Moyles, Huaiping Zhu. Efficacy of "stay-at-home" policy and transmission of COVID-19 in Toronto, Canada: a mathematical modeling study. CMAJOpen (2022) 10(2) E367-E378
J. Bélair, F. Nekka and J. Milton, Dynamical Diseases: A Translational Perspective. Chaos 31, 060401 (2021); https://doi.org/10.1063/5.0058345
Juan Li, Pei Yuan, Jane Heffernan, Tingting Zheng, Nick Ogden, Beate Sander, Jun Li, Qi Li, Jacques Bélair, Jude Dzevela Kong, Elena Aruffo, Yi Tan, Zhen Jin, Yong Yu, Meng Fan, Jingan Cui, Zhidong Teng & Huaiping Zhu (2020). Fangcang shelter hospitals during the COVID-19 epidemic, Wuhan, China. Bulletin of the World Health Organization. 98 (2020) 830-841D.
Frédéric Paquin-Lefebvre et J. Bélair, On the effect of age-dependent mortality on the stability of a system of delay-differential equations modeling erythropoiesis, Acta Biotheoretica, 68 (2020) 5-19. https://doi.org/10.1007/s10441-019-09351-1
Loïs Boullu, Laurent Pujo-Menjouet and J. Bélair, Stability analysis of an equation with two delays and application to the production of platelets. Dynamics of Continuous and Discrete Systems-S (2019) doi:10.3934/dcdss.2020131
D. Camara de Souza, M. Craig, T. Cassidy, J. Li, F. Nekka, J. Bélair and A.R. Humphries. Transit and lifespan in neutrophil production: implications for drug intervention. Journal of Pharmacokinetics and Pharmacodynamics. 45 (2018) 59-77.
F. Véronneau-Veilleux and J. Bélair. Modeling Circadian Fluctuations of Pharmacokinetic Parameters. Mathematical Modelling of Natural Phenomena. 12 (2017) 146-161.
J. A. Nessler, S. Heredia, J. Bélair and J. Milton. Walking on a Vertically Oscillating Treadmill: Phase Synchronization and Gait Kinematics. PLoS ONE 12(1):e0169924, 2017.
G. Provencher Langlois, M. Craig, A. Humphries, M. Mackey, J. Mahaffy, J. Bélair, T. Moulin, S. Sinclair, L. Wang. Normal and pathological dynamics of platelets in humans. Journal of Mathematical Biology 75 (2017) 1411-1462.
A. Abdelrazec, J. Bélair, C. Shan and H. Zhu. Modeling the Spread and Control of Dengue with Limited Public Health Resources. Mathematical Biosciences 271 (2016) 136-145.
M. Craig, A.Humphries, F. Nekka, J. Bélair, J. Li and M. Mackey. Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: Mathematical modelling guides dose optimisation to minimise neutropenia. Journal of Theoretical Biology 385 (2015) 77-89.
Y. Yuan and J. Bélair. Threshold Dynamics in an SEIRS Model with Latency and Temporary Immunity. Journal of Mathematical Biology 69 (2014) 875-904.
Y. Yuan and J. Bélair. Stability and Hopf Bifurcation Analysis for Functional Differential Equations with Distributed Delay. SIAM Journal of Applied Dynamical Systems 10 (2011) 551-581.
P. Buono and J. Bélair. Delay Induced Oscillations in Autonomous Drug Delivery Systems. Journal of Nonlinear Studies 11 (2004) 491-507.
S. Bernard, J. Bélair and M. Mackey. Bifurcations in a white blood cell production model. Compte-Rendus Acad. Sc. Paris, Série I (Biologie) 327 (2003) 201-210.
S. Bernard, J. Bélair and M. Mackey. Oscillations in Cyclical Neutropenia. Journal of Theoretical Biology 223 (2003) 283-298.
L. Buono and J. Bélair. Restrictions and unfolding of double Hopf bifurcations in functional differential equations. Journal of Differential Equations 189 (2003) 234-266.
V. Lemaire, J. Bélair and P. Hildgen. Structural modelling of drug release from biodegradable porous matrices based on a combined diffusion/erosion process. International Journal of Pharmaceutics 258 (2003) 95-107.
P. Lafrance, V. Lemaire, F. Varin, F. Donati, J. Bélair and F. Nekka. Spatial effects in modeling pharmacokinetics of rapid action drugs. Bulletin of Mathematical Biology 64 (2002) 483-500.
J. Bélair and J. Mahaffy. Variable maturation velocity and parameter sensitivity in a model of haematopoiesis. IMA Journal of Mathematics Applied to Biology and Medicine 18 (2001) 193-211.
S. Bernard, J. Bélair and M. Mackey. Sufficient conditions for stability of linear differential equations with distributed delay. Discrete and Continuous Dynamical Systems - Series B 1 (2001) 233-256.
K. Engelborghs, V. Lemaire, J. Bélair and D. Roose. Numerical Bifurcation Analysis of Delay Differential Equations Arising from Physiological Modeling. Journal of Mathematical Biology 42 (2001) 361-385.
M. Santillan, J. Mahaffy, J. Bélair and M. Mackey. Regulation of platelet production: the normal response to perturbation and cyclical platelet disease. Journal of Theoretical Biology 206 (2000) 585-603.
G. Melançon, Y. Joannette and J. Bélair. Chaos, Brain and Cognition: Toward a Nonlinear Order ? Brain and Cognition 42 (2000) 33-36.
S. Campbell and J. Bélair. Resonant codimension two bifurcation in the harmonic oscillator with delayed forcing. Canadian Applied Mathematics Quarterly 7 (1999) 217-238.
J. Bélair. Stability analysis of an age-structured model with a state-dependent delay. Canadian Applied Mathematics Quarterly 6 (1998) 305-319.
J. Mahaffy, J. Bélair and M. Mackey. Hematopoietic Model with Moving Boundary Condition and State Dependent Delay. Journal of Theoretical Biology 190 (1998) 135-146.
L. Olien and J. Bélair. Bifurcations, stability, and monotonicity properties of a delayed neural network model. Physica D 102 (1997) 349-363.
C. Rustom and J. Bélair. Estimation numérique de la vitesse de décroissance des spectres de puissance. Journal of Physics A 30 (1997) 2197-2209.
J. Bélair and S. Dufour. Stability in a three-dimensional system of delay-differential equations. Canadian Applied Mathematics Quarterly 4 (1996) 136-156.
J. Bélair, S. Campbell and P. van den Driessche. Frustration, stability and delay-induced oscillations in a neural network model. SIAM J. of Applied Mathematics 56 (1996) 245-255.
J. Bélair, M. Mackey and J. Mahaffy. Age-Structured and Two Delay Models for Erythropoiesis. Mathematical Biosciences 128 (1995) 317-346.
J. Milton, S. Campbell and J. Bélair. Dynamic feedback and the design of closed-loop drug delivery systems. J. of Biological Systems 3 (1995) 711-718.
J. Bélair, L. Glass, U. an der Heiden and J. Milton. Dynamical Disease: identification, temporal aspects and treatment strategies of human illness. Chaos 5 (1995) 1-7.
S. Campbell and J. Bélair. Analytical and symbolically-assisted investigation of Hopf bifurcations in delay-differential equations. Canadian Applied Mathematics Quarterly 3 (1995) 137-154.
S. Campbell, J. Bélair, T. Ohira and J. Milton. Limit cycles, tori and complex dynamics in a second-order differential equation with delayed negative feedback. J. of Dynamics et Differential Equations 7 (1995) 213-236.
S. Campbell, J. Bélair, T. Ohira and J. Milton. Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. Chaos 5 (1995) 640-645.
J. Bélair and S. Campbell. Stability and bifurcations of equilibria in a multiple-delayed differential equation. SIAM J. of Applied Mathematics 54 (1994) 1402-1424.
J. Bélair. Stability in a model of a delayed neural network. J. of Dynamics and Differential Equations 5 (1993) 607-623.
A. Beuter, J. Bélair and C. Labrie. Feedback and delays in neurological diseases: a modeling study using dynamical systems. Bulletin of Mathematical Biology 55 (1993) 525-541.
J. Milton and J. Bélair. Chaos, noise and extinction in models of population growth. Theoretical Population Biology 37 (1990) 273-290.
J. Bélair and C. Rousseau. Des fractals utiles. Bulletin AMQ 29(3) (1989) 65-68.
M. Courtemanche, L. Glass, J. Bélair, D. Scagliotti and D. Gordon. A circle map in a human heart. Physica 40D (1989) 299-310.
J. Bélair and M. Mackey. Consumer Memory and Price Fluctuations in Commodity Markets: an Integrodifferential Model. J. of Dynamics et Differential Equations 1 (1989) 299-325.
J. Bélair. Systèmes dynamiques appliqués à la physiologie: théorie des nombres et électrocardiogrammes. Gazette Sc. Math. Québec XIII (1989) 15-26.
J. Bélair. The Quantitative Classification of Dermatoglyphic Structures. Mathematical and Computer Modelling 10 (1989) 923-928.
J. Bélair and J. Milton. Itinerary of a discontinuous map from the continued fraction expansion. Applied Math. Letters 1 (1988) 339-342.
J. Bélair and A. Giroux. Growth properties of the solutions of a linear functional differential equation. J. Math. Anal. and Appl. 134 (1988) 125-128.
J. Bélair. An illustration of L'Hospital's rule. Math. Intelligencer 10 (1988) 72.
V. Gavino, J. Somma, F. Favid, M. Garneau, J. Bélair and H. Brunengraber. Metabolism of acetone in perfused rat liver: decarboxylation of acetoacetate and conversion of acetone to acetate. J. Biol. Chemistry 262 (1987) 6735-6740.
J. Bélair and C. Rousseau. Les nouvelles mathématiques appliquées. Bulletin AMQ 27(4) (1987) 9-20.
J. Bélair and M. Mackey. A model for the regulation of mammalian platelet production. Ann. N.Y. Acad. Sc. 508 (1987), 280-282.
J. Bélair. Sur le calcul de la dimension fractale. Ann. Sc. Math. Québec 11 (1987) 7-23.
J. Bélair. Periodic pulsatile stimulation of a nonlinear oscillator. J. Math. Biology 24 (1986) 217-234.
L. Glass, A. Goldberger and J. Bélair. Dynamics of Pure Parasystole. Amer. J. Physiology 251 (1986) H841-H847.
J. Bélair and L. Glass. Universality and self-similarity in the bifurcations of circle maps. Physica 16D (1985) 143-154.
L. Glass, M. Guevara, J. Bélair and A. Shrier. Global bifurcations of a periodically forced biological oscillator. Phys. Reviews 29A (1984) 1348-1357.
J. Bélair and P. Holmes. On linearly coupled relaxation oscillators. Quart. Appl. Math. 45 (1984) 193-219.
J. Bélair and L. Glass. Self similarity in periodically forced oscillators. Phys. Letters 96A (1983) 113-116.
J. Bélair. Sur une équation différentielle fonctionnelle analytique. Can. Math. Bull. 24 (1981) 43-46.
BOOK CHAPTERS AND CONFERENCE PROCEEDINGS
Evaluating the Risk of Reopening the Border: A Case Study of Ontario (Canada) to New York (USA) Using Mathematical Modeling. Pei Yuan, Elena Aruffo, Qi Li, Juan Li, Yi Tan, Tingting Zheng, Jummy David, Nick Ogden, Evgenia Gatov, Effie Gournis, Sarah Collier, Beate Sander, Guihong Fan, Jane Heffernan, Jun Li, Jude Dzevela Kong, Julien Arino, J. Bélair, James Watmough, and Huaiping Zhu. In K. Murty and J. Wu, eds. Mathematics of Public Health,
Proceedings of the Seminar on the Mathematical Modelling of COVID-19. Springer (2022) 287-301.
R. Melnik, R. Makarov and J. Bélair. Modern Challenges and Interdisciplinary Interactions via Mathematical, Statistical and Computational Models. In R. Melnik, R. Mkarov and J. Bélair, eds. Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science. Springer (2017) 3-14.
J. Milton, J. Wu, S. Campbell and J. Bélair. Outgrowing neurological diseases: Microcircuits, conduction delay and childhood absence epilepsy. In Computational Neurology and Psychiatry. P. Érdi, A. Cochran and B. Sen Bhattacharya, eds. Springer Series in Bio-/Neuroinformatics 6 (2017) 11-47.
J. Bélair and A. Rimbu. Time Delays in Drug Administration: Effect, Transit, Tricks and Oscillations. 12th IFAC Workshop Time-delayed Systems. IFAC-PapersOnLine 48-12 (2015) 111-116.
J. Wu, S. Campbell and J. Bélair. Time-Delayed Neural Networks: Stability and Oscillations. In Encyclopedia of Computational Neuroscience, SpringerReference (www.springerreference.com). D. Jieger and R. Jung, eds. Springer-Verlag Berlin Heidelberg (2013).
P. Buono, A. Vinet and J. Bélair. Bifurcation analysis of symmetrically coupled fast/slow systems. In International Conference on Applications in Nonlinear Dynamics (ICAND 2010), AIP Press. A. Palacios and P. Longhini, eds. 1339 (2011) 222-235.
F. Caron and J. Bélair. Exploring university students' competencies in modelling. In Mathematical Modelling (ICTMA 12): Education, Engineering and Economics - Proceedings of the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications, C. Haines, P. Galbraith W. Blum and S. Khan, eds. Horwood (2007) 120-129.
J. Bélair. Chaos et complexité, modèles et métaphores: quelles leçons pour l'enseignement des mathématiques. In Affronter la complexité: nouvel enjeu de l'enseignement des mathématiques F. Caron, ed. Proceedings of the Annual Meeting of the Québec Group of Mathematics Didacticians (2005) 135-145.
J. Bélair. Modeling in Biology: More than Solving Equations. Appendix A of Integrating Applications and Modelling in Secondary and Postsecondary Mathematics, F. Caron and E. Muller, eds in Group O Report in Proceedings of Canadian Study Group in Mathematics Education, E. Simmt and B. Davis, eds. (2004) 70-71.
J. Bélair. Training for Mathematical Modelling in Biology: A Contemporary Perspective. In Discussion Papers - ICMI Study 14: Applications and Modeling in Mathematics Education (2004).
J. Bélair and L. Glass. Introduction to Dynamics in Nonlinear Difference and Differential Equations. In Nonlinear Dynamics in Physiology and Medicine A. Beuter, L. Glass, M. Mackey and M. Titcombe, eds. Springer (2003) 9-40.
M. Mackey, C. Haurie and J. Bélair. Cell Replication and Control. In Nonlinear Dynamics in Physiology and Medicine. A. Beuter, L. Glass, M. Mackey and M. Titcombe, eds. Springer (2003) 231-268.
J. Bélair. Stability in Delayed Neural Networks : Feedback, Circuits and Eigenvalues. In Dynamical Roles of Feedback Circuits and Related Topics B. Toni and R. Bulajich, eds. Facultad de Ciencias UAEM (2000) 10-12.
S. Campbell and J. Bélair. Multiple-delayed differential equations as models for biological control systems. In World Congress of Nonlinear Analysts 1992 V. Lakshmikhantham ed. Walter de Gruyter & Co. vol. 4 (1996) 3109-3117.
S. Campbell and J. Bélair. Delays and tori in a nonlinear model from motor control. In Chaos in Biology and Medicine W. Ditto, ed. SPIE Proceedings Series vol. 2036 (1993) 256-268.
J. Bélair. Cellules nerveuses, réseaux neuronaux et retards. In Morphogénèse et dynamique D. Barabé and R. Brunet,eds. Orbis (1993) 1-10.
J. Bélair. Stability in delayed neural networks. In Ordinary and delay differential equations J. Hale and J. Wiener, eds. Longman (1992) 6-10.
J. Bélair. Lifespans in population models: using time delays ? In Differential Equations Models in Biology, Epidemiology and Ecology S. Busenberg and M. Martelli, eds. Springer (1991) 16-27.
J. Bélair, M. Courtemanche and L. Glass. Parasystole and the pacemaker problem. In Theory of Heart L. Glass and P. Hunter, eds. Springer (1991) 377-390.
J. Bélair. Population models with state-dependent delays. In Second International Conference on Mathematical Population Dynamics O. Arino, D. Axelrod and M. Kimmel, eds. Marcel Dekker (1991) 165-176.
J. Bélair. Stimulation périodique d'un oscillateur à seuil. In Biologie Théorique-Solignac 1986 A. Kretzchmar, ed. CNRS (1988) 117-123.
J. Bélair. Stability of a differential-delay equation with two time lags. Canadian Mathematical Society Proceedings Series 8 (1987), 305-315.
J. Bélair. Bifurcations in a model of the platelet regulatory system. In Chaos in Biological Systems H. Degn, A.V. Holden and L.F. Olsen eds. Plenum. (1987) 20-24.
L. Glass and J. Bélair. Continuation of Arnold tongues in mathematical models of periodicaly forced biological oscillators.In Nonlinear Oscillations in Biology and Chemistry H. Othmer, ed. Springer (1986) 232-243.
L. Glass, A. Shrier and J. Bélair. Chaotic cardiac rhythms. In Chaos A. Holden, ed. Princeton U. Press (1986) 237-256.
J. Bélair and L. Glass. Circle maps and the periodic forcing of limit cycle oscillators. In Temporal Order L. Rensing and N.I. Jaeger, eds. Springer (1985) 175-178.
J. Bélair and L. Glass. Bifurcations universelles dans les endomorphismes du cercle. In IVè Séminaire de l'école de biologie théorique G. Benchetrit and J. Demongeot, eds. CNRS (1985) 217-224.
ABSTRACTS
M. Craig, A. Humphries, J.Li, J. Bélair, M. Mackey and F. Nekka. Mechanistic-Based Translational Model for the Optimisation
of the Concurrent Administration of Zalypsis and Filgrastim. American Conference on Pharmacometrics [ACOP5](2014).
F. Lavoie, N. Hartmann, J. Bélair and L. Cartilier. Particle Tracking Experiment for the Study of Spherical Particle Motion in Cylinder Rotating Drums. Proceedings, Colloque de la Société belge de pharmaceutique (1999).
J. Bélair and A. Beuter. Feedback Control of Limb Position: a Random Walk Approach. IEEE Engineering in Medicine and Biology 17 (1995).
J. Bélair and A. Beuter. Feedback and delays in neurological disease: a modeling study using dynamical systems. Brain and Cognition 28 (1995) 208.
V. Gavino, J. Somma, J. Bélair, F. David, M. Garneau and H. Brunengraber. Kinetics of acetoacetate decarboxylation and acetone utilization in perfused rat liver. Fed. Proc. 45 (1986) 1483.
BOOKS EDITED
Jacques Bélair, Fahima Nekka, John Milton, eds. Dynamical Diseases: A Translational Approach, CHAOS (2021) 31.
R. Melnik, R. Makarov and J. Bélair, eds. Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science. Fields Institute Communications (79) Springer. 2017, 444 pages.
J. Bélair, I. Frigaard, H. Kunze, R. Makarov, R. Melnik and R. Spiteri, eds. Mathematical and Computational Approaches in Advancing Modern Science and Engineering . Springer. 2016, 806 + xv pages.
J. Bélair, L. Glass, U. an der Heiden and J. Milton, eds. Dynamical Disease: Mathematical Analysis of Human Illness. AIP Press, New York. 1995, 220 pages.
J. Bélair and S. Dubuc, eds. Fractal Geometry and Analysis. Nato ASI Series, Mathematical and Physical Sciences - vol. 346. Kluwer Academic Publishers, Dordrecht. 1991, 472 pages.
BOOK REVIEWS
(with S.A. Campbell) Complexity, Chaos and Biological Evolution, eds E. Mosekilde and L. Mosekilde [Plenum]. Nonlinear Science Today 2 (1993) 14.
Rythmes et chaos dans les syst`emes biochimiques et cellulaires, A. Goldbeter [Masson]. Bulletin of Mathematical Biology 54 (1992) 899.
New Directions in Dynamical Systems, eds. T. Bedford and J. Swift [Cambridge University Press]. Mathematical Biosciences 95 (1989) 233.
(with L. Glass) Chaos, ed. H.-B. Lin [World Scientific]; Universality in Chaos, ed. P. Cvitanovic [Adam Hilger]; Order within Chaos: Towards a Deterministic Approach to Turbulence, P. Bergé, Y. Pomeau and C. Vidal [Wiley]; Deterministic Chaos: An Introduction, H.G. Schuster [Physik-Verlag]; Chaos, ed. A. V. Holden [Manchester University Press]; An Introduction to Chaotic Dynamical Systems, R. Devaney [Benjamin/Cummins]; Dynamical Chaos, eds M.V. Berry, I.C. Percival and N.O. Weiss [The Royal Society]; Chaos in Biological systems, eds H. Degn, A.V. Holden and L.F. Olsen [Plenum]. Bulletin of Mathematical Biology 50 (1988) 313-320.
An Essay on the Importance of Being Nonlinear, B. J. West [Springer]. Mathematical Biosciences 84 (1987) 119.
OTHERS
J. Bélair. SMB2019 - A Showcase for Canadian Mathematical Biology. CAIMS Newsletter 74 (2019) 38-39.
A. Guyot and J. Bélair. Leon Glass and Michael C. Mackey Diamond Symposium on Nonlinear Mathematics in Medicine and Biology. CAIMS Newsletter 73 (2018) 34-35.
J. Bélair. L'originalité des parcours de recherche pénalisée par les calculs. Découvrir, La revue de l'ACFAS - online. (February 2016).
E. Kaufmann. Mathématique et Nutrition. Supervised Internship Report. (2009)
J. Bélair, A. Beuter, M. Courtemanche, E. Doedel, R. Edwards, L. Glass, M. Guevara, M. Mackey, J. Milton, A. Vinet. [J. Bélair, ed.] Nonlinear Dynamics in Biology and Medicine. Lecture Notes for Summer School Montreal 2000 [451 pages].
J. Bélair. Biomathématiques: le génome humain n'est qu'un début. Bulletin du Centre de recherches mathématiques 7 (1) (2000) 1.