- Marc R Roussel (2019)
*Nonlinear Dynamics: A Hands-On Introductory Survey*, Morgan & Claypool, San Rafael, CA (IOP Concise Physics series). - Marc R. Roussel (2012)
*A Life Scientist's Guide to Physical Chemistry*, Cambridge University Press, Cambridge.

- Marc R. Roussel (2018) The Mackey-Glass models, 40 years later.
*Biomath Commun.***5**, 140–158. [Invited perspective article] - Catharine J. Roussel
and Marc R. Roussel (2018) A mathematical model
of the biochemical network underlying left-right asymmetry
establishment in mammals.
*BioSystems***173**, 281–297. [Invited paper for a special issue on Computational, Theoretical, and Experimental Approaches to Morphogenesis] - David Lloyd, Douglas B. Murray, Miguel A. Aon, Sonia Cortassa, Marc
R. Roussel, Manfred Beckmann and Robert K. Poole (2018) Temporal metabolic
partitioning of the yeast and protist cellular networks: the cell is
a global scale-invariant (fractal or self-similar),
multioscillator.
*J. Biomed. Opt.***24**, 051404:1–17. [Special issue in honour of the late Britton Chance] - Brian Ingalls, Maya Mincheva and
Marc R. Roussel (2017) Parametric sensitivity analysis of
oscillatory delay systems with an application to gene regulation.
*Bull. Math. Biol.***79**, 1539–1563. - Blessing E. Okeke and Marc R. Roussel (2015) An invariant-manifold approach
to lumping.
*Math. Model. Nat. Phenom.***10**, 149–167. [Invited paper for a special issue dedicated to Alexander Gorban] - Md. Ruhul Amin and Marc R. Roussel (2014) Graph-theoretic analysis
of a model for the coupling between photosynthesis and
photorespiration.
*Can. J. Chem.***92**, 85–93. [Special issue dedicated to Paul Brumer] - Marc R. Roussel (2013) On the distribution of transcription times.
*Biomath***2**, 1307247:1–14. [Invited paper associated with Biomath 2013] - Abir U. Igamberdiev and Marc R. Roussel (2012) Feedforward
non-Michaelis-Menten
mechanism for CO
_{2}uptake by Rubisco: Contribution of carbonic anhydrases and photorespiration to optimization of photosynthetic carbon assimilation.*BioSystems***107**, 158–166. - Marc R. Roussel and Martin J. Slingerland (2012) A biochemically
semi-detailed model of auxin-mediated vein formation in plant
leaves.
*BioSystems***109**, 475–487. [Invited paper for a special issue on Biological Morphogenesis] - Marc R. Roussel (2012) Further studies of the functional equation
truncation approximation.
*Can. Appl. Math. Q.***20**, 209–227. [Special issue dedicated to Herb Friedman] - Marc R. Roussel and Terry Tang (2012) Simulation of mRNA diffusion in
the nuclear environment.
*IET Syst. Biol.***6**, 125–133. [Invited paper for a special issue on ``Modelling noise in biochemical reaction networks''] - Maya Mincheva and Marc R. Roussel (2012) Turing-Hopf instability
in biochemical reaction networks arising from pairs of
subnetworks.
*Math. Biosci.***240**, 1–11. - Marc R. Roussel and Abir U. Igamberdiev (2011) Dynamics and
mechanisms of oscillatory photosynthesis.
*Biosystems***103**, 230–238. [Special issue on Computational Models of Photosynthesis] - Taunia L. L. Closson
and Marc R. Roussel (2009) The flattening phase
transition in systems of trapped ions.
*Can. J. Chem.***87**, 1425–1435. [Invited paper for a special issue dedicated to Professor Tom Ziegler] - Miguel A. Aon,
Marc R. Roussel, Sonia Cortassa, Brian O'Rourke,
Douglas B. Murray, Manfred Beckmann and David Lloyd (2008) The
scale-free dynamics of eukaryotic cells.
*PLoS ONE***3**, e3624:1–12. - Marc R. Roussel and David Lloyd (2007) Detection of a chaotic metabolic
attractor by real-time monitoring of a
multi-oscillatory state in a yeast continuous culture.
*FEBS J.***274**, 1011–1018. - Maya Mincheva and Marc R. Roussel (2007) Graph-theoretic methods for the
analysis of chemical and biochemical networks. I. Multistability
and oscillations in ordinary differential equation models.
*J. Math. Biol.***55**, 61–86. - Maya Mincheva and Marc R. Roussel (2007) Graph-theoretic methods for the
analysis of chemical and biochemical networks. II.
Oscillations in networks with delays.
*J. Math. Biol.***55**, 87–104. - Marc R. Roussel, Alexander A. Ivlev
and Abir U. Igamberdiev (2007) Oscillations of the internal
CO
_{2}concentration in tobacco leaves transferred to low CO_{2}.*J. Plant Physiol.***164**, 1188–1196. - Marc R. Roussel and Rui Zhu (2006) Stochastic kinetics description
of a simple transcription model.
*Bull. Math. Biol.***68**, 1681–1713. - Santiago Schnell, Michael J. Chappell, Neil D. Evans and
Marc R. Roussel (2006) The mechanism distinguishability
problem in biochemical kinetics: The single-enzyme
single-substrate reaction as a case study.
*C. R. Biologies***329**, 51–61. - Kevin L. Davis and Marc R. Roussel (2006) Optimal observability
of sustained stochastic competitive inhibition oscillations
at organellar volumes.
*FEBS J.***273**, 84–95. - Maya Mincheva and Marc R. Roussel (2006) A graph-theoretic method for
detecting potential Turing
bifurcations.
*J. Chem. Phys.***125**, 204102:1–8.Included in the Dec. 1, 2006 issue of the compilation

*Virtual Journal of Biological Physics Research*. - Marc R. Roussel and Terry Tang (2006) The functional equation
truncation method for approximating slow invariant manifolds: A
rapid method for computing intrinsic low-dimensional manifolds.
*J. Chem. Phys.***125**, 214103:1–7. - Marc R. Roussel and Rui Zhu (2006) Validation of an algorithm for delay
stochastic simulation of
transcription and translation in prokaryotic gene expression.
*Phys. Biol.***3**, 274–284. - Marc R. Roussel and Rui Zhu (2004) Reducing a chemical master equation
by invariant manifold methods.
*J. Chem. Phys.***121**, 8716–8730.Included in the Nov. 1, 2004 issue of the compilation

*Virtual Journal of Biological Physics Research*. - Catharine J. Roussel and Marc R. Roussel (2004)
Reaction-diffusion models of development with state-dependent
diffusion coefficients.
*Prog. Biophys. Mol. Biol.***86**, 113–160. [Invited paper] - Marc R. Roussel and Jichang Wang (2004)
Pattern formation in excitable media with
concentration-dependent diffusivities.
*J. Chem. Phys.***120**, 8079–8088. - Catharine J. Roussel and Marc R. Roussel (2003)
Generic object-oriented differential equation integrators.
*C/C++ Users J.***21**(11), 18–23.Code and examples (zip file)

- Didier Gonze, Marc R. Roussel and Albert Goldbeter (2002)
A model for the enhancement of fitness in cyanobacteria based on
resonance of a circadian oscillator with the external
light-dark cycle.
*J. Theor. Biol.***214**, 577–597. - Marc R. Roussel and Jichang Wang (2002)
The influence of concentration-dependent diffusivities on wave
stability.
*Phys. Chem. Chem. Phys.***4**, 1310–1314; errata, ibid. 3152–3153. - Marc R. Roussel and Jichang Wang (2001)
A transition from self-replicating behavior to stationary patterns
induced by concentration-dependent diffusivities.
*Phys. Rev. Lett.***87**, 188302:1–4; errata, ibid.**90**, 119902. - Marc R. Roussel and Simon J. Fraser (2001) Invariant manifold methods
for metabolic model reduction.
*Chaos***11**, 196–206. [Invited paper] - Catharine J. Roussel and Marc R. Roussel (2001) Delay-differential
equations and the model equivalence problem in chemical
kinetics.
*Physics in Canada***57**, 114–120. [Invited paper] - Marc R. Roussel and Jichang Wang (2001)
Phase synchronization of nonidentical light-sensitive
Belousov-Zhabotinsky systems induced by variability in a high-low
illumination program.
*J. Phys. Chem. A***105**, 7371–7380. - Marc R. Roussel and Jichang Wang (2000) Onset and synchronization of
complex dynamical behavior in the light-sensitive
Belousov-Zhabotinsky reaction with periodic and nearly periodic
switching.
*J. Phys. Chem. A***104**, 11751–11756. - Taunia L. L. Closson and Marc R. Roussel (2000) Synchronization
by irregular inactivation.
*Phys. Rev. Lett.***85**, 3974–3977. - Marc R. Roussel, Didier Gonze and Albert Goldbeter (2000)
Modeling the differential fitness of cyanobacterial strains
whose circadian oscillators have different free-running periods:
Comparing the mutual inhibition and substrate depletion
hypotheses.
*J. Theor. Biol.***205**, 321–340. - Marc R. Roussel (1999) Redesigning the quantum mechanics
curriculum to incorporate problem solving using a computer
algebra system.
*J. Chem. Ed.***76**, 1373–1377. - Robert A. Marriott, Andrew W. Hakin, Jin Lian Liu and Marc R.
Roussel (1999) Automated statistical analysis of
high temperature and pressure vibrating tube densimeter data.
*Computers & Chem.***23**, 487–492. - Richard A. Beekman, Marc R. Roussel and P. J. Wilson (1999) Equilibrium
configurations of systems of trapped ions.
*Phys. Rev. A***59**, 503–511. - Marc R. Roussel (1998) Slowly reverting enzyme inactivation: A
mechanism for generating
long-lived damped oscillations.
*J. Theor. Biol.***195**, 233–244. - Marc R. Roussel (1998) Approximating state-space manifolds which
attract solutions of systems of delay-differential equations.
*J. Chem. Phys.***109**, 8154–8160. - Marc R. Roussel (1997) Forced-convergence iterative schemes for the
approximation of
invariant manifolds.
*J. Math. Chem.***21**, 385–393. - Lan G. Ngo and Marc R. Roussel (1997) A new
class of biochemical oscillator models based on competitive
binding.
*Eur. J. Biochem.***245**, 182–190. - Marc R. Roussel (1997) An analytic center manifold for a simple
epidemiological model.
*SIAM Rev.***39**, 106–109. - Marc R. Roussel (1996) The use of delay-differential equations
in chemical kinetics.
*J. Phys. Chem.***100**, 8323–8330. - Marc R. Roussel and Carmay Lim (1995) Discrete, dynamic polymer
modeling: A pseudo-diatomic model of lignin.
*J. Comp. Chem.***16**, 1181–1191. - Marc R. Roussel and Carmay Lim (1995) Dynamic
model of lignin growing in restricted spaces.
*Macromolecules***28**, 370–376. - Simon J. Fraser and Marc R. Roussel (1994) Phase-plane geometries
in enzyme kinetics.
*Can. J. Chem.***72**, 800–812. - Marc R. Roussel and Simon J. Fraser (1993) Global analysis
of enzyme inhibition kinetics.
*J. Phys. Chem.***97**, 8316–8327; errata, ibid.**98**, 5174. - Marc R. Roussel and Simon J. Fraser (1991) Accurate steady-state
approximations: Implications for kinetics experiments and
mechanism.
*J. Phys. Chem.***95**, 8762–8770. - Marc R. Roussel and Simon J. Fraser (1991) On the geometry of transient
relaxation.
*J. Chem. Phys.***94**, 7106–7113. - Marc R. Roussel and Simon J. Fraser (1990) Geometry of the steady-state
approximation: Perturbation and accelerated convergence
methods.
*J. Chem. Phys.***93**, 1072–1081. - W. Ross Hastings, Marc R. Roussel and Michael C. Baird (1990)
Mechanism of the conversion of [Ru(CO)
_{5}] to [Ru_{3}(CO)_{12}].*J. Chem. Soc., Dalton Trans.***1990**, 203–205. - A.D. Becke and M.R. Roussel (1989) Exchange holes in inhomogeneous
systems: A coordinate-space model.
*Phys. Rev. A***39**, 3761–3767.

- D. Lloyd, E. L. Rossi and M. R. Roussel (2008) Introduction: The
temporal organization of living systems from molecule to mind.
In David Lloyd and Ernest Rossi (Eds.),
*Ultradian Rhythms from Molecules to Mind*, Springer, Berlin, pp 1–8. - Marc
R. Roussel (2007) Step sizes in simulations of diffusion. A
comment on "Modeling the signaling endosome hypothesis: Why a
drive to the nucleus is better than a (random) walk" by Charles
L. Howe (2005)
*Theor. Biol. Med. Model.***2**, 43. - Marc R. Roussel and Rui Zhu (2006) Exactly reduced chemical master
equations. In Alexander N. Gorban, Nikolaos K. Kazantzis,
Ioannis G. Kevrekidis, Hans Christian
Öttinger and Constantinos
Theodoropoulos (Eds.),
*Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena*, Springer, Berlin, pp 295–315. [Invited paper] - Rui Zhu and Marc R. Roussel (2005) Chemical master equation
reduction methods. In Andrei Ludu, Nathan R. Hutchings and
Darrell R. Fry (Eds.),
*ISIS International Symposium on Interdisciplinary Science*(*AIP Conf. Proc.*vol. 755), American Institute of Physics, Melville, NY, pp 172–176. - Marc R. Roussel (2003) Reduction of biochemical models using
functional iteration. In
R. Gauges, U. Kummer, J. Pahle and U. Rost (Eds.),
*3rd Workshop on Computation of Biochemical Pathways and Genetic Networks*, Logos Verlag, Berlin, pp 17–26. [Invited paper] - Marc R. Roussel (2001) Book review: An Introduction to
Mathematical Physiology and Biology, 2nd ed., by J. Mazumdar.
*Physics in Canada***57**, 216–217. - Marc R. Roussel (2000) An autonomous cell-cycle oscillator
involved in the coordination of G1 events.
*BioEssays***22**, 3–5. [Invited comment]

- D. Lloyd, A. J. Hayes, K. M. Lemar, D. B. Murray, M. R. Roussel,
M. A. Aon and S. Cortassa (2007) The 40 min ultradian clock and
4 min oscillations generate spontaneously self-synchronized
yeast populations.
*FEBS J.***274**(Suppl. 1), 51.

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