UTC webpage: publications

Unit of Theoretical Chronobiology
Université Libre de Bruxelles









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  • de Melo RJF, Gutsch A, de Caluwé T, Leloup J-C, Gonze D, Hermans C, Webb AAR, Verbruggen N (2021) Magnesium maintains the length of the circadian period in Arabidopsis, Plant Physiol., 185:519-532.
  • Gil D, Guse AH, Dupont G (2021) Three-dimensional model of sub-plasmalemmal Ca2+ microdomains evoked by the interplay between ORAI1 and InsP3 receptors, Front. Immunol. 12:659790.
  • Goldbeter A, Leloup J-C (2021) From circadian clock mechanism to sleep disorders and jet lag: Insights from a computational approach. Biochemical Pharmacology, in press [Article].
  • Woller A, Gonze D (2021) Circadian misalignment and metabolic disorders: a story of twisted clocks, MDPI Biology 10:207.
  • Zhang R, Gonze D (2021) Stochastic simulation of a model for circadian rhythms in plants. J. Theor. Biol., in press.


  • Gall D, Dupont G (2020) Tonic activation of extrasynaptic NMDA receptors decreases excitability and promotes bistability in a model of neuronal activity, Int J Mol Sci 21:206.
  • Goldbeter A (2020) "Coronavirus" In: "Systèmes humains par temps de confinement", Cahiers Critiques de Thérapie Familiale et de Pratiques de Réseaux 65, 13-15 [PDF].
  • Gonzalez-Velez V, Piron A, Dupont G (2020) Calcium oscillations in pancreatic α-cells rely on noise and ATP-driven changes in membrane electrical activity, Front. Physiol., 11:602844. [Article].
  • Gonze D, Ruoff P (2020) The Goodwin Oscillator and its Legacy. Acta Biotheor. 2020, March 25.
  • Pelicaen R, Gonze D, De Vuyst L, Weckx S (2020) Genome-scale metabolic modeling of Acetobacter pasteurianus 386B reveals its metabolic adaptation to cocoa fermentation conditions, Food Microbiol. 92, 103597.
  • Vet S, Gelens L, Gonze D (2020) Mutualistic cross-feeding in microbial systems generates bistability via an Allee effect. Sci Rep. 10:7763.
  • Wacquier B, Combettes L, Dupont G (2020) Dual dynamics of mitochondrial permeability transition pore opening. Sci Rep. 10:3924.
  • Zhang R, Gonze D, Hou X, You X, Goldbeter A (2020) A computational model for the cold response pathway in plants, Front. Physiol., 11:591073. [Article].


  • De Caluwé J, Tosenberger A, Gonze D, Dupont G (2019) Signalling-modulated gene regulatory networks in early mammalian development, J. Theor. Biol., 463:56-66. [Special issue dedicated to René Thomas]
  • Farshadi E, Yan J, Leclere P, Goldbeter A, Chaves I, van der Horst GTJ (2019) The positive circadian regulators CLOCK and BMAL1 control G2/M cell cycle transition through Cyclin B1. Cell Cycle, 18:16-33. [PDF]
  • Gérard C, Gonze D, Goldbeter A (2019) Revisiting a skeleton model for the mammalian cell cycle: From bistability to Cdk oscillations and cellular heterogeneity J. Theor. Biol., 461:276-290.
    [Special issue dedicated to René Thomas]
  • Gérard C, Lemaigre F, Gonze D (2019) Modeling the dynamics of Let-7-coupled gene regulatory networks linking cell proliferation to malignant transformation, Front. Physiol., 10:848.
  • Kaufman M, Soulé C (2019) On the multistationarity of chemical reaction networks, J. Theor. Biol., 465:126-133. [Special issue dedicated to René Thomas]
  • Pelicaen R, Gonze D, Teusink B, De Vuyst L, Weckx S (2019) Genome-scale metabolic reconstruction of Acetobacter pasteurianus 386B, a candidate functional starter culture for cocoa bean fermentation, Front. Microbiol., 10:2801.
  • Thieffry D, Kaufman M, (2019) Prologue to the special issue of JTB dedicated to the memory of René Thomas (1928-2017): A journey through biological circuits, logical puzzles and complex dynamics, J. Theor. Biol., 474:42-47. [Special issue dedicated to René Thomas]
  • Tosenberger A, Gonze D, Chazaud C, Dupont G (2019) Computational models for the dynamics of early mouse embryogenesis, Int. J. Dev. Biol. 63:131-142.
  • Voorsluijs V, Ponce Dawson S, De Decker Y, Dupont G (2019) Deterministic limit of intracellular calcium spikes, Phys. Rev. Lett. 122:088101.
  • Wacquier B, Combettes L, Dupont G (2019) Cytoplasmic and mitochondrial calcium signalling: A two-way relationship. In: Calcium Signaling, 2e Ed, CSH Perspective in Biology; M. Bootman, G. Stutzmann, G. Bultynck and M. Berridge, Eds.
  • Wacquier B, Voorsluijs V, Combettes L, Dupont G (2019) Coding and decoding of oscillatory Ca2+ signals. Sem. Cell. Dev. Biol. S1084-9521:30102-2.
  • Yan J, Goldbeter A (2019) Multi-rhythmicity generated by coupling two cellular rhythms, J. R. Soc. Interface 16:20180835 [PDF].
  • Yan J, Goldbeter A (2019) Robust synchronization of the cell cycle and the circadian clock through bidirectional coupling. J. R. Soc. Interface 16:20190376. [PDF].


  • Combettes L, Dupont G, Tran Van Nhieu, G (2018) Ca2+ signals triggered by bacterial pathogens and the formation of Ca2+ microdomains. BBA - Mol. Cell. Res, 1865:1838-45.
  • D'hoe K, Vet S, Faust K, Moens F, Falony G, Gonze D, Lloréns-Rico V, Gelens L, Danckaert J, De Vuyst L, Raes J (2018) Integrated culturing, modeling and transcriptomics uncovers complex interactions and emergent behavior in a three-species synthetic gut community, eLife, e37090.
  • Faust K, Bauchinger F, Laroche B, de Buyl S, Lahti L, Washburne A, Gonze D, Widder S (2018) Signatures of ecological processes in microbial community time series, Microbiome, 28:120.
  • Goldbeter A (2018) Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves. Phil. Trans. R. Soc. A 376: 20170376. [http://dx.doi.org/10.1098/rsta.2017.0376]
  • Gonze D (2018) Review of the book "Biological clocks, rhythms, and oscillations: The theory of biological timekeeping" by Daniel B. Forger, Quart. Rev. Biol., 93:280-281.
  • Gonze D, Coyte KZ, Lahti L, Faust K. (2018) Microbial communities as dynamical systems. Curr Opin Microbiol. 44:41-49.
  • Gonze D, Gérard C, Wacquier B, Woller A, Tosenberger A, Goldbeter A, Dupont G (2018) Modeling-based investigation of the effect of noise in cellular systems. Front. Mol. Biosci. 5:34.
  • Vet S, de Buyl S, Faust K, Danckaert J, Gonze D, Gelens L (2018) Bistability in a system of two species interacting through mutualism as well as competition: chemostat vs. Lotka-Volterra equations, PLoS One, 13:e0197462.
  • Woller A, Gonze D (2018) Modeling clock-related metabolic syndrome due to conflicting light and food cues, Sci. Rep. 8:13641.


  • Bol M, Wang N, De Bock M, Wacquier B, Decrock E, Gadicherla A, Decaluwé K, Vanheel B, van Rijen H, Krysko D, Bultynck G, Dupont G, Van de Voorde J, Leybaert L (2017) At the cross-point of connexins, calcium and ATP: blocking hemichannels inhibits vasoconstriction of rat small mesentric arteries. Cardiovasc. Res. 113: 195-206.
  • De Caluwé J, de Melo JRF, Tosenberger A, Hermans C, Verbruggen N, Leloup J-C, Gonze D (2017) Modeling the photoperiodic entrainment of the plant circadian clock. J. Theor. Biol. 420: 220-231.
  • Dupont G, Sneyd J (2017) Recent developments in models of calcium signalling. Current Opinion in Systems Biology 3: 15-22.
  • Dupont G, Wacquier B (2017) Signalisation calcique et invasion bactérienne. Chimie nouvelle 124, 22-28. [PDF]
  • Goldbeter A (2017) Dissipative structures and biological rhythms. Chaos 27, 104612; doi: 10.1063/1.4990783 [http://dx.doi.org/10.1063/1.4990783].
  • Gonze D, Lahti L, Raes J, Faust K (2017) Multi-stability and the origin of microbial community types. ISME J. 11:2159-2166.
  • Sun CH, Wacquier B, Aguilar D I, Carayol N, Denis K, Boucherie S, Valencia-Gallardo C, Simsek C, Erneux C, Lehman A, Enninga J, Arbibe L, Sansonetti P, Dupont G, Combettes L, Van Nhieu G T (2017) The Shigella type III effector IpgD recodes Ca2+ signals during invasion of epithelial cells. EMBO J. 36:2567-2580.
  • Tosenberger A , Gonze D, Bessonnard S, Cohen-Tannoudji M, Chazaud C, Dupont G (2017) A multiscale model of early cell lineage specification including cell division. NPJ Systems Biology and Applications 3,16.
  • Wacquier B, Romero H, Gonzalez-Velez V, Combettes L, Dupont G (2017) Mitochondrial Ca2+ dynamics in cells and suspensions. FEBS J. 284:4128-4142.


  • Bessonnard S, Gonze D, Dupont G (2016) Spécification de l'Epiblaste et de l'Endoderme Primitif au cours du développement préimplantatoire murin : combinaison de la biologie et de la modélisation mathématique. Médecine/Sciences 32: 192-197.
  • Cvijovic M et al (2016) Strategies for structuring interdisciplinary education, in Systems Biology: A European perspective, npj Systems Biology and Applications 2: 16011.
  • De Caluwé J, Xiao Q, Hermans C, Verbruggen N, Leloup J-C, Gonze D (2016) A compact model for the complex plant circadian clock. Front. Plant Sci. 7: 74.
  • De Mot L, Gonze D, Bessonnard S, Chazaud C, Goldbeter A, Dupont G (2016) Cell fate specification based on tristability in the inner cell mass of mouse blastocysts. Biophys. J. 110: 710-722. [PDF]
  • Dupont G, Combettes L (2016) Fine tuning of cytosolic Ca2+ oscillations. F1000Research 5: 2036.
  • Dupont G, Falcke M, Kirk V, Sneyd J (2016) Models of Calcium Signalling. Springer, ISBN 978-3-319-29647-0.
  • Gérard C, Goldbeter A (2016) Dynamics of the mammalian cell cycle in physiological and pathological conditions. WIREs Syst. Biol. Med. 8: 140-56.
  • Goldbeter A (2016) Rythmes du vivant et rythme de vie : vers un décrochage? Cahiers critiques de thérapie familiale et de pratiques de réseaux 56: 233-252.
  • Loutchko D, Gonze D, Mikhailov A S (2016) Single-molecule stochastic analysis of channeling enzyme tryptophan synthase. J. Phys. Chem. 120: 2179-2186.
  • Uzhachenko R, Shanker A, Dupont G (2016) computational properties of mitochondria in T cell activation and fate. Open Biol. 6: pii: 160192.
  • Wacquier B, Combettes L, Tran Van Nhieu G, Dupont G (2016) Interplay Between Intracellular Ca2+ Oscillations and Ca2+-stimulated Mitochondrial Metabolism. Scientific Reports 5: 19316.


  • Faust K, Lahti L, Gonze D, de Vos W M, Raes J (2015) Metagenomics meets time series analysis: Unraveling microbial community dynamics. Curr. Op. Microbiol. 25: 56-66.
  • Goldbeter A, Gérard C (2015) From simple to complex oscillatory behavior in cellular regulatory systems. In: Engineering Chemical Complexity II. World Scientific Lecture Notes in Complex Systems, Vol. 12, pp. 1-21 (A Mikhailov and G Ertl, Eds.). World Scientific, Singapore.
  • Koenig S, Moreau C, Dupont G, Scoumanne A, Erneux C (2015) Regulation of NGF-driven neurite outgrowth by Ins(1,4,5)P3 kinase is specifically associated with the two isoenzymes Itpka and Itpkb in a model of PC12 cells. FEBS journal 282:2553-69.


  • Gérard C, Gonze D, Lemaigre F, Novak B (2014) A model for the epigenetic switch linking inflammation to cell transformation: deterministic and stochastic approaches. PLoS Comput. Biol. 10: e1003455.
  • Bessonnard S, De Mot L, Gonze D, Barriol M, Dennis C, Goldbeter A, Dupont G, Chazaud C (2014) Gata6, Nanog, and Erk signaling control cell fate in the inner cell mass through a tristable regulatory network. Development. 141: 3637-48. doi: 10.1242/dev.109678. Epub 2014 Sep 10
  • Dupont G (2014) Models of Calcium Release. DOI 10.1007/978-1-4614-7320-6_181-3. In Encyclopedia of Computational Neuroscience (Jaeger D., Jung R. (Eds.)): Springer-Verlag Berlin Heidelberg
  • Dupont G (2014) Modeling the intracellular organization of calcium signaling. WIREs Syst. Biol. Med., doi: 10.1002/wsbm.1261.
  • Gérard C, Goldbeter A (2014) The balance between cell cycle arrest and cell proliferation: control by the extracellular matrix and by contact inhibition. Interface Focus 4: 20130075. [PDF]
  • Schmal C, Leloup J-C, Gonze D (2014) Modeling and simulating the Arabidopsis thaliana circadian clock using XPP-AUTO. Met. Mol. Biol. 1158, 337-58.
  • Woller A, Gonze D, Erneux T (2014) The Goodwin model revisited: Hopf bifurcation, limit-cycle, and periodic entrainment. Phys. Biol. 11: 045002.


  • De Caluwé J, Dupont G (2013) The progression towards Alzheimer's disease described as a bistable switch arising from the positive loop between amyloids and Ca2+. J. Theor. Biol. 331, 12-18.
  • Deneubourg J-L, Destexhe A, Leloup J-C (2013) Functionality and dynamics in biological systems. Chaos, Solitons & Fractals 50, 1-2. [PDF]
  • Goldbeter A (2013) Oscillatory enzyme reactions and Michaelis-Menten kinetics. FEBS Lett. 587, 2778-2784. doi:pii: S0014-5793(13)00560-7. 10.1016/j.febslet.2013.07.031. [Epub ahead of print]
  • Goldbeter A (2013) Origin of cyclicity in bipolar disorders: A computational approach. Pharmacopsychiatry 46 (Suppl. 1): S44-S52.
  • Gonze D (2013) Modeling the effect of cell division on genetic oscillators. J. Theor. Biol. 325, 22-33.
  • Gonze D, Abou-Jaoudé W (2013) The Goodwin model: Behind the Hill function. PLoS One 8, e69573.
  • Leloup J-C, Goldbeter A (2013) Critical phase shifts slow down circadian clock recovery: Implications for jet lag. J. Theor. Biol. 333, 47-57.
  • Ndiaye D, Collado-Hilly M, Martin J, Prigent S, Dufour J F, Combettes L, Dupont G (2013) Characterization of the effect of the mitochondrial protein Hint2 on intracellular Ca2+. Biophys. J. 105:1268-1275.
  • Tran Van Nhieu G, Liu B, Zhang J, Pierre F, Prigent S, Sansonetti P, Erneux C, Kim J, Suh P, Dupont G, Combettes L. (2013) Actin-based confinement of calcium responses during Shigella invasion. Nature Communications 4: 1567.
  • Woller A, Gonze D (2013) The bird circadian clock: Insights from a computational model. J. Biol. Rhythms 28, 390-402.
  • Woller A, Gonze D, Erneux T (2013) Strong feedback limit of the Goodwin circadian oscillators. Phys. Rev. E 87, 032722.


  • De Bock M, Wang N, Bol M, Decrock E, Ponsaerts R, De Vuyst E, Bultynck G, Dupont G, Leybaert L (2012) Connexin-43 hemichannels contribute to cytoplasmic Ca2+ oscillations by providing a bimodal Ca2+-dependent Ca2+ entry pathway. J. Biol. Chem. 287: 12250-66.
  • Gérard C, Goldbeter A (2012) Entrainment of the mammalian cell cycle by the circadian clock : Modeling two coupled cellular rhythms. PLoS Comput. Biol. 8: e1002516. http://www.ploscompbiol.org/article/info%3Adoi%2F10.1371%2Fjournal.pcbi.1002516
  • Gérard C, Goldbeter A (2012) From quiescence to proliferation : Cdk oscillations drive the mammalian cell cycle. Front. Physiol. 3:413. [PDF]
  • Gérard C, Goldbeter A (2012) The cell cycle is a limit cycle. Math. Models Nat. Phenom. 7: 126-166.
  • Gérard C, Gonze D, Goldbeter A (2012) Effect of positive feedback loops on the robustness of oscillations in the network of cyclin-dependent kinases driving the mammalian cell cycle. FEBS Journal 279: 3411-3431. doi: 10.1111/j.1742-4658.2012.08585.x.
  • Goldbeter A (2012) La Vie oscillatoire: les bases chimiques des rythmes du vivant. Chimie nouvelle 109: 1-5.
  • Goldbeter A, Gérard C, Gonze D, Leloup J-C, Dupont G (2012) Systems biology of cellular rhythms. FEBS Lett. 586, 2955-2965. [PDF]
  • Gonzalez-Velez V, Dupont G, Gil A, Gonzalez A, Quesada I (2012) Model for glucagon secretion by pancreatic alpha-cells. PlosONE 7: e32282.
  • Gonzalez-Velez V, Gil A, Dupont G (2012) Computational methods to study Ca2+-triggered secretion at the cellular level. J. Comput. Interdisc. Sci. 3, 1-13.
  • Hafner M, Koeppl H, Gonze D (2012) Effect of network architecture on synchronization and entrainment properties of the circadian oscillations in the suprachiasmatic nucleus. Plos Comput. Biol. 8, e1002419.


  • Abou-Lovergne A, Collado-Hilly M, Monnet F.P., Koukoui O, Prigent S, Coquil J.F. Dupont G, Combettes L (2011) Investigation of the role of sigma1-receptors in inositol 1,4,5-trisphosphate dependent calcium signaling in hepatocytes. Cell Calcium 50, 62-72.
  • Altinok A, Gonze D, Lévi F, Goldbeter A (2011) An automaton model for the cell cycle. R Soc J Interface Focus 1, 36-47.
  • Combettes L, Dupont G (2011) Approches expérimentales et de modélisation de la signalisation calcique dans les cellules. Médecine/Sciences 27, 170-176. [Pubmed]
  • De Bock M, Culot M, Wang N, De Vuyst E, Decrock E, Bol M, da Costa A, Vinken M, Simon A, Rogiers V, Bultynck G, Evans W H, Dupont G, Cecchelli R, Leybaert L (2011) Connexion channels contribute to endothelial Ca2+ dynamics and are involved in endothelial permeability changes. J. Cerebr. Blood F. Met. 31, 1942-1957.
  • Dupont G, Loomekandja Lokenye E F and Challiss R A J (2011) A model for Ca2+ oscillations stimulated by the type 5 metabotropic glutamate receptor: An unusual mechanism based on repetitive, reversible phosphorylation of the receptor. Biochimie 93, 2132-2138.
  • Dupont G, Combettes L, Bird G, Putney J (2011) Calcium Oscillations. Cold Spring Harb Perspect Biol 1, 3. pii: a004226.[Pubmed]
  • Gérard C, Goldbeter A (2011) A skeleton model for the network of cyclin-dependent kinases driving the mammalian cell cycle. R Soc J Interface Focus 1, 24-35.
  • Goldbeter A (2011) A model for the dynamics of bipolar disorders. Progr Biophys Mol Biol 105, 119-127.
  • Goldbeter A (2011) Rythmes du vivant: des horloges pour tous les temps (éditorial). Médecine/Sciences 27, 115-116.
  • Gonze D (2011) Modeling circadian clocks: From equations to oscillations. Cent. Eur. J. Biol. 6, 699-711.
  • Gonze D (2011) Modeling circadian clocks: Roles, advantages, and limitations. Cent. Eur. J. Biol. 6, 712-729.
  • Gonze D, Abou-Jaoudé W, Ouattara A, Halloy J (2011) How molecular should your molecular model be?. Meth. Enzymol. 487, 171-215.
  • Leloup J-C, Goldbeter A (2011) Modeling the dual role of PER phosphorylation and its effect on the period and phase of the mammalian circadian clock. IET Sys Biol 5, 44. [Pubmed]
  • Lévi F., Altinok A, Goldbeter A (2011) Circadian rhythms and cancer chronotherapeutics. In: Cancer Systems Biology, Bioinformatics and Medicine: Research and Clinical Applications (Eds. F. Marcus and A. Cesario), Springer, Berlin, pp. 381-407.


  • Dupont G, Croisier H (2010) Spatio-temporal organization of Ca2+ dynamics: a modelling-based approach. HSFP Journal 4, 43-54. [Pubmed]
  • Dupont G, Heytens E, Leybaert L (2010) Oscillatory Ca2+ dynamics and cell cycle resumption at fertilization in mammals: a modelling approach. Int J Dev Biol 54, 655-65. [Pubmed]
  • Gérard C, Goldbeter A (2010) From simple to complex patterns of oscillatory behavior in a model for the mammalian cell cycle containing multiple oscillatory circuits. Chaos 20, 045109. [PDF]
  • Goldbeter A, Gérard C, Leloup J-C (2010) Biologie des systèmes et rythmes cellulaires. Médecine/Sciences 26, 49-56. [Pubmed] [PDF]
  • Gonze D (2010) Coupling oscillations and switches in genetic networks. Biosystems 99, 60-69. [Pubmed]
  • Gonze D, Hafner M (2010) Positive feedbacks contribute to the robustness of the cell cycle with respect to molecular noise, in Advances in the Theory of Control, Signals, and Systems, in Lecture Notes in Control and Information Sciences 407, 283-295.


  • Aebersold R, Auffray C, Baney E, Barillot E, Brazma A, Brett C, Brunak S, Butte A, Califano A, Celis J, Cufer T, Ferrell J, Galas D, Gallahan D, Gatenby R, Goldbeter A, Hace N, Henney A, Hood L, Iyengar R, Jackson V, Kallioniemi O, Klingmüller U, Kolar P, Kolch W, Kyriakopoulou C, Laplace F, Lehrach H, Marcus F, Matrisian L, Nolan G, Pelkmans L, Potti A, Sander C, Seljak M, Singer D, Sorger P, Stunnenberg H, Superti-Furga G, Uhlen M, Vidal M, Weinstein J, Wigle D, Williams M, Wolkenhauer O, Zhivotovsky B, Zinovyev A, Zupan B (2009) Report on EU-USA workshop: how systems biology can advance cancer research (27 October 2008).Mol Oncol 3, 9-17. [Pubmed][PDF].
  • Altinok A, Lévi F, Goldbeter A (2009) Identifying mechanisms of chronotolerance and chronoefficacy for the anticancer drugs 5-fluorouracil and oxaliplatin by computational modeling. Eur J Pharm Sci 36, 20-38. [Pubmed] [PDF]
  • Dupont G, Combettes L (2009) What can we learn from the irregularity of Ca2+ oscillations? Chaos 19, 037112. [Pubmed] [PDF]
  • Gérard C, Goldbeter A (2009) Temporal self-organization of the cyclin/Cdk network driving the mammalian cell cycle. Proc Natl Acad Sci USA 106, 21643-21648. [Pubmed] [PDF] [Supporting Information]
  • Gérard C, Gonze D, Goldbeter A (2009) Dependence of the period on the rate of protein degradation in minimal models for circadian oscillations. Phil Tran Royal Soc A 367, 4665-4683. [Pubmed] [PDF]
  • Gonze D, Leloup J-C (2009) Towards a synthetic circadian clock in mammals. Cell Sci Rev 5,45 [PDF].
  • Leloup J-C (2009) Circadian clocks and phosphorylation: Insights from computational modeling. Cent Eur J Biol 4, 290-303. [Abstract] [PDF]


  • Caldara M, Dupont G, Leroy F, Goldbeter A, De Vuyst L, Cunin R (2008) Arginine biosynthesis in Escherichia coli. Experimental perturbation and mathematical modeling. J Biol Chem 283, 6347-58. [Pubmed] [PDF]
  • Dupont G, Abou-Lovergne A, Combettes L (2008) Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes. Biophys J 95, 2193-202. [Pubmed] [PDF]
  • Goldbeter A (2008) Biological rhythms: Clocks for all times. (Guest editorial) Curr Biol 18, R751-R753. [PDF]
  • Goldbeter A, Pourquié O (2008) Modeling the segmentation clock as a network of coupled oscillations in the Notch, Wnt and FGF signaling pathways. J Theor Biol 252, 574-585. [Pubmed] [PDF]
  • Gonze D, Jacquet M, Goldbeter A (2008) Stochastic modeling of nucleocytoplasmic oscillations of the transcription factor Msn2 in yeast. J R Soc Interface 5 Suppl 1, S95-109. [Pubmed] [PDF]
  • Gonze D, Markadieu N, Goldbeter A (2008) Selection of in-phase or out-of-phase synchronization in a model based on global coupling of cells undergoing metabolic oscillations. Chaos 18, 037127. [Pubmed] [PDF]
  • Leloup J-C, Goldbeter A (2008) Modeling the circadian clock : From molecular mechanism to physiological disorders. BioEssays 30, 590-600. [Pubmed] [PDF]
  • Lévi F, Altinok A, Clairambault J, Goldbeter A (2008) Implications of circadian clocks for the rhythmic delivery of cancer therapeutics. Phil Trans R Soc A 366, 3575-3598. [Pubmed] [PDF]
  • Tyson JJ, Albert R, Goldbeter A, Ruoff P, Sible J (2008) Biological switches and clocks. J R Soc Interface 5 Suppl 1, S1-8. [Pubmed] [PDF]


  • Altinok A, Lévi F, Goldbeter A (2007) A cell cycle automaton model for probing circadian patterns of anticancer drug delivery. Adv Drug Deliv Rev 59, 1036-53. [Abstract] [PDF]
  • Altinok A, Lévi F, Goldbeter A (2007) Optimizing temporal patterns of anticancer drug delivery by simulations of a cell cycle automaton. In: "Biosimulation in Drug Development", M. Bertau, E. Mosekilde and H.V. Westerhoff Eds., Wiley-VCH, pp. 275-297. [Abstract] [PDF]
  • Bernard S, Gonze D, Cajavec B, Herzel H, Kramer A (2007) Synchronization-induced rhythmicity of circadian oscillators in the suprachiasmatic nucleus. PLOS Comput Biol 3, e68. [Pubmed] [PDF]
  • Dupont G, Combettes L, Leybaert L (2007) Calcium dynamics : Spatio-temporal organization from the subcellular to the organ level. Int Rev Cytology 261, 193-245. [Pubmed] [PDF]
  • Forger D, Gonze D, Virshup D, Welsh DK (2007) Beyond intuitive modeling: Coupling biophysical models with careful observation moves the circadian rhythms field forward. J Biol Rhythms 22, 200-210.
  • Garmendia-Torres C, Goldbeter A, Jacquet M (2007) Nucleocytoplasmic Oscillations of the Yeast Transcription Factor Msn2: Evidence for Periodic PKA Activation. Curr Biol 17, 1044-1049. [Pubmed] [PDF] [Supplemental data]
  • Goldbeter A (2007) Biological rhythms as temporal dissipative structures. Adv Chem Phys 135, 253-295. [PDF]
  • Goldbeter A (2007) L'horloge biologique face à l'environnement. Bulletin de la Classe des Sciences de l'Académie royale de Belgique 7-12, 351-68.
  • Goldbeter A, Gonze D, Pourquié O (2007) Sharp developmental thresholds defined through bistability by antagonistic gradients of retinoic acid and FGF signaling. Dev Dyn 236, 1495-1508. [Pubmed] [PDF]
  • Vandeput F, Combettes L, Mills SJ, Backers K, Wohlkönig A, Parys JB, De Smedt H, Missiaen L, Dupont G, Potter BVL, Erneux C (2007) Biphenyl 2,3',4,5',6-pentakisphosphate, a novel inositol polyphosphate surrogate, modulates Ca2+ responses in rat hepatocytes. FASEB J 21:1481-91. [Abstract] [PDF]


  • Dupont G, Combettes L (2006) Modelling the effect of specific inositol 1,4,5-triphosphate receptor isoforms on cellular Ca2+ signals. Biol Cell 98, 171-182. [Abstract] [PDF]
  • Erneux T, Goldbeter A (2006) Rescue of the quasi-steady-state approximation in a model for oscillations in an enzymatic cascade. SIAM J. Appl. Math 67, 305-320. [Abstract] [PDF]
  • Goldbeter A (2006) A model for the dynamics of human weight cycling. J Biosci 31, 101-108. [Abstract] [PDF]
  • Goldbeter A (2006) Oscillations and waves of cyclic AMP in Dictyostelium: A prototype for spatio-temporal organization and pulsatile intercellular communication. Bull Math Biol 68, 1095-1109. [Abstract] [PDF]
  • Gonze D, Goldbeter A (2006) Circadian rhythms and molecular noise. Chaos 16, 26110. [Abstract] [PDF]
  • Kurosawa G, Goldbeter A (2006) Amplitude of circadian oscillations entrained by 24-h light-dark cycles. J Theor Biol 242, 478-488. [Abstract] [PDF]
  • Leloup J-C, Gonze D, Goldbeter A (2006) Computational models for circadian rhythms : Deterministic versus stochastic approaches. In : "Computational Systems Biology", A Kriete and R Eils eds, pp. 249-291 (Elsevier Academic Press, Burlington-San Diego, USA). [Abstract] [PDF]
  • Simonis N, Gonze D, Orsi C, van Helden J, Wodak S (2006) Modularity of the transcriptional regulation of protein complexes in yeast. J Mol Biol 363, 589-610. [Abstract] [PDF]


  • Goldbeter A (2005) Zero-order switches and developmental thresholds. Mol Syst Biol 1:2005.0031. [PDF]
  • Gonze D, Bernard S, Waltermann C, Kramer A, Herzel H (2005) Spontaneous synchronization of coupled circadian oscillators. Biophys J, 89: 120-129. [Abstract] [PDF]
  • Gonze D, Pinloche S, Gascuel O, van Helden J (2005) Discrimination of yeast genes involved in methionine and phosphate metabolism on the basis of upstream motifs. Bioinformatics, 21:3490-3500.
  • Kielbasa SM, Gonze D, Herzel H (2005) Measuring similarities between transcription factor binding sites. BMC Bioinformatics 6: 237. [Abstract] [PDF]


  • Combettes L, Dupont G, Parys JB (2004) New mechanisms and functions in Ca2+ signalling. Biol Cell 96, 1-2. [PDF]
  • Dupont G, Dumollard R (2004) Simulation of calcium waves in ascidian eggs: Insights into the origin of the pacemaker sites and the possible nature of the sperm factor. J Cell Sci 117, 4313-4323. [Abstract] [PDF]
  • Goldbeter A (2004) Le sens du rythme. Vivant 4. [PDF]
  • Goldbeter A (2004) Computational biology: A propagating wave of interest . Curr Biol 14, R601-R602. [PDF]
  • Gonze D, Halloy J, Goldbeter A (2004) Stochastic models for circadian oscillations : Emergence of a biological rhythm. Int J Quantum Chem 98, 228-238. [Abstract] [PDF]
  • Gonze D, Halloy J, Goldbeter A (2004) Emergence of coherent oscillations in stochastic models for circadian rhythms. Physica A: Statistical Mechanics and its Applications 342, 221-233. [Abstract] [PDF]
  • Igoshin OA, Goldbeter A, Kaiser D, Oster G (2004) A biochemical oscillator explains several aspects of Myxococcus xanthus behavior during development. Proc Natl Acad Sci USA 101, 15760-5. [Abstract] [PDF]
  • Leloup J-C, Goldbeter A (2004) Modeling the mammalian circadian clock: Sensitivity analysis and multiplicity of oscillatory mechanisms. J Theor Biol 230, 541-562. [Abstract] [PDF]
  • Leloup J-C, Goldbeter A (2004) Modelling the circadian clock in Drosophilia and mammals. In : Modelling and simulation of biological processes in the context of genomics (Proceedings of the Evry Spring School, 2004) P Amar, J-P Comet, F Képès, V Norris eds, pp 79-86.


  • Dupont G, Koukoui O, Clair C, Erneux C, Swillens S, Combettes L (2003) Ca2+ oscillations in hepatocytes do not require the modulation of InsP3 3-kinase activity by Ca2+. FEBS Lett 534, 101-105. [Abstract] [PDF]
  • Forger DB, Dean II DA, Gurdziel K, Leloup J-C, Lee C, Von Gall C, Etchegaray J-P, Kronauer RE, Goldbeter A, Peskin CS, Jewett ME, Weaver DR (2003) Development and validation of computational models for mammalian circadian oscillators. OMICS 7, 385-398. [Abstract] [PDF]
  • Dupont G, Houart G, De Koninck P (2003) Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations: a simple model. Cell Calcium 34, 485-497. [Abstract] [PDF]
  • Dupont G, Houart G, Goldbeter A (2003) From simple to complex Ca2+ oscillations: Regulatory mechanisms and theoretical models. In Lectures Notes in Physics. Understanding calcium dynamics. Experiments and theory. M. Falcke and D. Malchow (eds). Springer (Berlin), pp 131-152. [Abstract]
  • Goldbeter A (2003) Ilya Prigogine (1917-2003). J Biosci 28, 657-559. [PDF]
  • Goldbeter A (2003) Biologie computationnelle des rythmes circadiens. Bull Cl Sci Acad R Belg XIV, 67-82.
  • Goldbeter A, Leloup J-C (2003) La modélisation des rythmes du vivant. Pour la Science 314, 70-76. [Abstract] [PDF]
  • Gonze D, Halloy J, Goldbeter A (2003) Deterministic and stochastic models for circadian rhythms. Pathol Biol (Paris) 51, 227-230. [Abstract] [PDF]
  • Gonze D, Halloy J, Leloup J-C, Goldbeter A (2003) Stochastic models for circadian rhythms: Effect of molecular noise on periodic and chaotic behaviour. C R Biologies 326, 189-203. [ Abstract] [PDF]
  • Jacquet M, Renault G, Lallet S, de Mey J, Goldbeter A (2003) Oscillatory nucleocytoplasmic shuttling of the general stress response transcriptional activators Msn2 and Msn4 in Saccharomyces cerevisae. J Cell Biol 161, 497-505. [Abstract] [PDF]
  • Jacquet M, Renault G, Lallet S, de Mey J, Goldbeter A (2003) Oscillatory behavior of the nuclear localization of the transcription factors Msn2 and Msn4 in response to stress in yeast. TheScientificWorldJOURNAL 3, 609-612. [PDF]
  • Klarsfeld A, Leloup J-C, Rouyer F (2003) Circadian rhythms of locomotor activity in Drosophila. Behav Proc 64, 161-175. [Abstract] [PDF]
  • Leloup J-C, Goldbeter A (2003) Toward a detailed computational model for the mammalian circadian clock. Proc Natl Acad Sci USA 100, 7051-7056. [Abstract] [PDF] [Supporting Information]
  • Pourquié O, Goldbeter A (2003) Segmentation clock: Insights from computational models. Curr Biol 13, R632-R634. [Abstract] [PDF]



  • Clair C, Chalumeau C, Tordjmann T, Poggioli J, Erneux C, Dupont G, Combettes L (2001) Investigation of the roles of Ca(2+) and InsP(3) diffusion in the coordination of Ca(2+) signals between connected hepatocytes. J Cell Sci 114, 1999-2007. [Pubmed] [PDF]
  • Goldbeter A (2001) Les rythmes et l'incertain. In : L'homme devant l'incertain (I. Prigogine, Ed.), Editions Odile Jacob, Paris, pp. 119-139.
  • Goldbeter A, Gonze D, Houart G, Leloup J-C, Halloy J, Dupont G (2001) From simple to complex oscillatory behavior in metabolic and genetic control network. Chaos 11, 247-260. [Pubmed] [PDF]
  • Gonze D, Goldbeter A (2001) A model for a network of phosphorylation-dephosphorylation cycles displaying the dynamics of dominoes and clocks. J Theor Biol 210, 167-186. [Pubmed] [PDF]
  • Leloup J-C, Goldbeter A (2001) A molecular explanation for the long-term suppression of circadian rhythms by a single light pulse. Am J Physiol Reg Integr Comp Physiol 280, R1206-R1212. [ PubMed] [PDF]


  • Dupont G, Swillens S, Clair C ,Tordjmann T, Combettes L (2000) Hierarchical organization of calcium signals in hepatocytes: from experiments to models. Biochim Biophys Acta 1498, 134-152. [PubMed] [PDF]
  • Dupont G, Tordjmann T, Clair C, Swillens S, Claret M, Combettes L (2000) Mechanism of receptor-oriented intercellular calcium wave propagation in hepatocytes. FASEB J 14, 279-289. [Abstract] [PDF]
  • Gall D, Baus E, Dupont G (2000) Activation of the liver glycogen phosphorylase by Ca2+ oscillations: A theoretical study. J Theor Biol 207, 445-454. [PubMed] [PDF]
  • Goldbeter A, Dupont G, Halloy J (2000) The frequency encoding of pulsatility. Novartis Found Symp 227, 19-45. [Abstract]
  • Gonze D, Leloup J-C, Goldbeter A (2000) Theoretical models for circadian rhythms in Neurospora and Drosophila. CR Hebd Acad Sci (Paris) Ser III 323, 57-67. [Abstract] [PDF]
  • Gonze D, Goldbeter A (2000) Entrainment versus chaos in a model for a circadian oscillator driven by light-dark cycles. J Stat Phys 101, 649-663. [PDF]
  • Guidi GM, Goldbeter A (2000) Oscillations and bistability predicted by a model for a cyclical bienzymatic system involving the regulated isocitrate dehydrogenase reaction. Biophys Chem 83, 153-170. [PubMed] [PDF]
  • Halloy J, Bernard BA, Loussouarn G, Goldbeter A (2000) Modeling the dynamics of human hair cycles by a follicular automaton. Proc Natl Acad Sci USA 97, 8328-8333. [PubMed] [PDF]
  • Leloup J-C, Goldbeter A (2000) Modeling the molecular regulatory mechanism of circadian rhytms in Drosophila. BioEssays 22, 83-92. [Abstract] [PDF]
  • Roussel MR, Gonze D, Goldbeter A (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. [PubMed] [PDF]


  • Dupont G (1999) Spatio-temporal organization of intracellular calcium signals: From experimental to theoretical aspects. Comments on Theor Biol 5, 305-340.
  • Gall D, Susa I (1999) Effect of Na/Ca exchange on plateau fraction and [Ca]i in models for bursting in pancreatic §-cells. Biophys J 77, 45-53. [PubMed] [PDF]
  • Gall D, Gromada J, Susa I, Rorsman P, Herchuelz A, Bokvist K (1999) Significance of Na/Ca exchange for Ca2+ buffering and electrical activity in mouse pancreatic beta-cells. Biophys J 76, 2018-2028. [PubMed] [PDF]
  • Houart G, Dupont G, Goldbeter A (1999) Bursting, chaos and birhythmicity originating from self-modulation of the inositol 1,4,5-triphosphate signal in a model for intracellular Ca 2+ oscillations. Bull Math Biol 61, 507-530. [PubMed] [PDF]
  • Leloup J-C, Goldbeter A (1999) Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in Drosophila. J Theor Biol 198, 445-459. [PubMed] [PDF]
  • Leloup J-C, Gonze D, Goldbeter A (1999) Limit cycle models for circadian rhythms based on transcriptional regulation in Neurospora and Drosophila. J Biol Rhythms 14, 433-448. [PubMed] [PDF]
  • Romond P-C, Rustici M, Gonze D, Goldbeter A (1999) Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle. Ann NY Acad Sci 879, 180-193. [PubMed] [PDF]
  • Swillens S, Dupont G, Combettes L, Champeil P (1999) From calcium blips to calcium puffs: Theoretical analysis of the requirements for interchannel communication. Proc Natl Acad Sci USA 96, 13750-13755. [PubMed] [PDF]


  • Dupont G (1998) Link between fertilization-induced Ca 2+ oscillations and relief from metaphase II arrest in mammalian eggs: A model based on calmodulin-dependent kinase II activation. Biophys Chem 72, 153-167. [Abstract] [PDF]
  • Dupont G (1998) Theoretical insights into the mechanism of spiral Ca2+ wave initiation in Xenopus oocytes. Am J Physiol 275, C317-C322. [Abstract] [PDF]
  • Dupont G, Goldbeter A (1998) CaM kinase II as frequency decoder of Ca2+ oscillations. BioEssays 20, 607-610. [Abstract]
  • Goldbeter A (1998) Les bases moléculaires des rythmes biologiques. Chimie Nouvelle 16, 1871-1878.
  • Guidi G, Goldbeter A (1998) Bistability without hysteresis in chemical reaction systems: The case of nonconnected branches of coexisting steady states. J Phys Chem A 102, 7813-7820.
  • Guidi G, Goldbeter A (1998) From bistability to oscillations in the isocitrate dehydrogenase reaction. Biophys Chem 72, 201-210.
  • Guidi GM, Carlier MF, Goldbeter A (1998) Bistability in the isocitrate dehydrogenase reaction: An experimentally based theoretical study. Biophys J 74, 1229-1240. [PDF]
  • Halloy J, Lauzeral J, Goldbeter A (1998) Modeling oscillations and waves of cAMP in Dictyostelium discoideum cells. Biophys Chem 72, 9-19. [Abstract] [PDF]
  • Leloup J-C, Goldbeter A (1998) A model for circadian rhythms in Drosophila incorporating the formation of a complex between the PER and TIM proteins. J Biol Rhythms 13, 70-87. [Abstract] [PDF]
  • Leloup J-C, Goldbeter A (1998) Modeling circadian rhythms of the PER and TIM proteins in Drosophila. In: Proceedings of the International Congress of Chronobiology. Biological Clocks: Mechanisms and Applications Y. Touitou (Ed.), Elsevier, Amsterdam, pp 81-88. [Abstract] [PDF]
  • Perez-Iratxeta C, Halloy J, Moran F, Martiel JL, Goldbeter A (1998) Coexistence of multiple propagating wave fronts in a regulated enzyme reaction model: Link with birhythmicity and multi-threshold excitability. Biophys Chem 74, 197-207. [PDF]
  • Swillens S, Champeil P, Combettes L, Dupont G (1998) Stochastic simulation of a single inositol 1,4,5-trisphosphate-sensitive Ca2+ channel reveals repetitive openings during 'blip-like' Ca2+ transients. Cell Calcium 23, 291-302. [PDF]


  • Borghans JAM, Dupont G, Goldbeter A (1997) Complex intracellular calcium oscillations. A theoretical exploration of possible mechanisms. Biophys Chem 66, 25-41. [PDF]
  • Dupont G, Erneux T (1997) Simulations of the effects of inositol 1,3,4-triphosphate 3-kinase and 5-phosphatase activities on Ca2+ oscillations. Cell Calcium 22, 313-323.
  • Dupont G, Goldbeter A (1997) Modeling oscillations and waves of cytosolic calcium. Nonlinear Analysis, Theory, Methods and Applications 30, 1781-1792. [PDF]
  • Goldbeter A (1997) Modeling biochemical oscillations and cellular rhythms. Curr Sci 73, 933-939.
  • Guidi G, Goldbeter A (1997) Bistability without hysteresis in chemical reaction systems: A theoretical analysis of irreversible transitions between multiple steady states. J Phys Chem A 101, 9367-9376.
  • Lauzeral J, Halloy J, Goldbeter A (1997) Desynchronization of cells on the developmental path triggers the formation of spiral waves of cAMP during Dictyostelium aggregation. Proc Natl Acad Sci USA 94, 9153-9158. [Abstract] [PDF]
  • Leloup JC, Goldbeter A (1997) Temperature compensation of circadian rhythms: Control of the period in a model for circadian oscillations of the PER protein in Drosophila. Chronobiol Int 14, 511-520. [Abstract]


  • Cardenas ML Goldbeter A (1996) The glucose-induced switch between glycogen phosphorylase and glycogen synthase in the liver: Outlines of a theoretical approach. J Theor Biol 182, 421-426. [ PDF & erratum]
  • Dupont G, Pontès J, Goldbeter A (1996) Modeling spiral Ca2+ waves in single cardiac cells: Role of the spatial heterogeneity created by the nucleus. Am J Physiol 271, C1390-C1399.
  • Dupont G, McGuinness OM, Johnson MH, Berridge MJ, Borgese F (1996) Phospholipase C in mouse oocytes: Characterization of beta and gamma isoforms and their possible involvement in sperm-induced Ca2+ spiking. Biochem J 316, 583-591. [PDF]
  • Dupont G, Swillens S (1996) Quantal release, incremental detection, and long-period Ca2+ oscillations in a model based on regulatory Ca2+-binding sites along the permeation pathway. Biophys J 71, 1714-1722. [PDF]
  • Goldbeter A (1996) From ultradian biochemical oscilations to circadian rhythms. In: Membranes and Circadian Rhythms. T. Vanden Driessche (Ed.), Springer, Berlin, pp. 67-93.
  • Goldbeter A (1996) Biochemical Oscillations and Cellular Rhythms: The molecular bases of periodic and chaotic behaviour. Cambridge University Press, Cambridge.
  • Goldbeter A, Guilmot JM (1996) Arresting the mitotic oscillator and the control of cell proliferation: Insights from a cascade model for cdc2 kinase activation. Experientia 52, 212-216.
  • Goldbeter A, Guilmot JM (1996) Thresholds and oscillations in enzymatic cascades. J Phys Chem 100, 19174-19181.
  • Goldbeter A, Guilmot JM, Romond PC (1996) Contr™le de la prolifération cellulaire: Vers de nouvelles stratégies suggérées par une modélisation de l'oscillateur mitotique. Pathologie-Biologie 44, 172-178.
  • Guidi GM, Halloy J, Goldbeter A (1995) Chaos suppresion by periodic forcing: Insights from Dictyostelium cells, from a multiply regulated biochemical system, and from the Lorenz model. In: Proceedings of the conference Chaos and Complexity (blois, 1993). Tr‰n Thanh V‰n et al. (Eds), Editions Frontières, Paris, pp. 135-146.


  • Goldbeter A (1995) A model for circadian oscillations in the Drosophila period protein (PER). Proc R Soc Lond B Biol Sci 261, 319-324. [PDF]
  • Susa I, Martiel JL (1995) Modelling nonlinear integration of synaptic signals by neurones. Acta Biotheor 43, 335-349.


  • Berridge MJ, Dupont G (1994) Spatial and temporal signalling by calcium. Curr Opin Cell Biol 6, 267-274.
  • Dupont G, Goldbeter A (1994) Properties of intracellular Ca2+ waves generated by a model based on Ca2+-induced Ca2+ release. Biophys J 67, 2191-204. [PDF & erratum]
  • Li YX, Rinzel J (1994) Equations for InsP3 receptor-mediated [Ca]i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism. J Theor Biol 166, 461-473.
  • Li YX, Rinzel J, Keizer J, Stojikovic SS (1994) Calcium oscillations in pituitary gonadotrophs: Comparison of experiment and theory. Proc Natl Acad Sci USA 91, 58-62.
  • Petersen CH, Dupont G (1994) The initiation of a calcium signal in Xenopus oocytes. Cell Calcium 16, 391-403.
  • Romond PC, Guilmot JM, Goldbeter A (1994) The mitotic oscillator: Temporal self-organization in a phosphorylation-dephosphorylation enzymatic cascade. Berichte der Bunsen-Gesellschaft für Physikalische Chemie 98, 1152-1159.
  • Segel LA, Goldbeter A (1994) Scaling in biochemical kinetics: Dissection of a relaxation oscillator. J Math Biol 32, 147-160.


  • Dupont G, Goldbeter A (1993) One-pool model for Ca2+ oscillations involving Ca 2+ and inositol 1,4,5-triphosphate as co-agonists for Ca2+ release. Cell Calcium 14, 311-322. [PDF]
  • Dupont G, Moulinasse S, Ryckaert JP, Bauss M (1993) The bcc-fcc-fluid triple point as obtained from Monte-Carlo simulations of the Yukawa model for monodisperse colloidal suspensions. Mol Phys 79, 453-456.
  • Erneux T, Edstrom RD, Goldbeter A (1993) Enzyme sharing in phosphorylation-dephosphorylation cascades: The case whereone protein kinase (or phosphatase) acts on two different substrates. J Theor Biol 165, 43-61.
  • Goldbeter A (1993) Modeling the mitotic oscillator driving the cell division cycle. Comments on Theor Biol 3, 75-107.
  • Goldbeter A (1993) From periodic behavior to chaos in biochemical systems. In: Chaos in Chemical and Biochemical Systems (RJ Field and L Gyšrgyi, eds), World Scientific, Singapore, pp. 249-283.
  • Goldbeter A, Dupont G (1993) Wavelike propagation of cAMP and Ca2+ signals: Link with excitability and oscillations. In: Oscillations and Morphogenesis (L Rensing, ed.), M Dekker, New York, pp. 195-209.
  • Goldbeter A, Li YX, Dupont G (1993) Pulsatile signalling in intercellular communication: An overview of theoretical and experimental aspects. In: Proceedings of the First European Conference on Mathematics Applied to Biology and Medicine (J Demongeot & V Capasso, eds.), Wuerz Publ., Winnipeg, Canada, pp. 429-439.


  • Dupont G, Goldbeter A (1992) Oscillations and waves of cytosolic calcium: Insights from theoretical models. BioEssays 14, 485-493.
  • Dupont G, Goldbeter A (1992) Protein phosphorylation driven by intracellular calcium oscillations: A kinetic analysis. Biophys Chem 42, 257-270.
  • Goldbeter A (1992) Comparison of electrical oscillations in neurons with induced or spontaneous cellular rhythms due to biochemical regulation In: Induced Rhythms of the Brain (E Basar & TH Bullock, eds.), Birkhauser, Boston, pp. 309-324.
  • Li YX, Goldbeter A (1992) Pulsatile signaling in intercellular communication. Periodic stimuli are more efficient than random or chaotic signals in a model based on receptor desensitization. Biophys J 61, 161-171. [PDF]
  • Li YX, Halloy J, Martiel JL, Goldbeter A (1992) Suppression of chaos and other dynamical transitions induced by intercellular coupling in a model for cAMP oscillations in Dictyostelium cells. Chaos 2, 501-512.
  • Li YX, Halloy J, Martiel JL, Wurster B, Goldbeter A (1992) Suppression of chaos by periodic oscillations in a model for cyclic AMP signalling in Dictyostelium cells. Experientia 48, 603-606.


  • Dupont G, Berridge MJ, Goldbeter A (1991) Signal-induced Ca2+ oscillations: properties of a model based on Ca2+-induced Ca 2+ release. Cell Calcium 12, 73-85.
  • Goldbeter A (1991) A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. Proc Natl Acad Sci USA 88, 9107-9111. [PDF]
  • Goldbeter A (1991) Du codage par fréquence des communications intercellulaires à l'ébauche d'une chronopharamacologie généralisée. Bull Acad Roy Méd Belg 146, 113-127.
  • Goldbeter A, Dupont G (1991) Phosphorylation and the frequency encoding of signal-induced calcium oscillations. In: Cellular Regulation by Protein Phosphorylation (L Heilmeyer, ed.) Springer, Berlin, pp. 35-39.
  • Goldbeter A, Li YX, Dupont G (1991) Periodicity and chaos in cAMP, hormonal and calcium signalling. In: Complex Dynamics and Biological Evolution (E Mosekilde, ed.), Plenum Press, New York, pp. 131-143.


  • Dupont G, Berridge MJ, Goldbeter A (1990) Latency correlates with period in a model for signal-induced Ca 2+ oscillations based on Ca2+ -induced Ca2+ release. Cell Regul 1, 853-861. [PDF]
  • Goldbeter A, Li YX, Dupont G (1990) Oscillatory dynamics in intercellular communication. Biomed Biochim Acta 49, 935-940.
  • Goldbeter A, Dupont G (1990) Allosteric regulation, cooperativity, and biochemical oscillations. Biophys Chem 37, 341-353.
  • Goldbeter A, Dupont G, Berridge MJ (1990) Minimal model for signal-induced Ca2+ oscillations and for their frequency encoding through protein phosphorylation. Proc Natl Acad Sci USA 87, 1461-1465. [PDF]
  • Goldbeter A, Koshland Jr DE (1990) Zero-order ultrasensitivity in interconvertible enzyme systems. In Control of Metabolic Processes (A Cornish-Bowden & ML Cardenas, eds.), Plenum, New York, pp. 173-182.
  • Goldbeter A, Wolpert L (1990) Covalent modification of proteins as a threshold mechanism in development. J Theor Biol 142, 243-250.
  • Halloy J, Li XY, martiel JL, Wurster B, Goldbeter A (1990) Coupling chaotic and periodic cells results in a period-doubling route to chaos in a model for cAMP oscillations in Dictyostelium suspension. Phys Lett A 151, 33-36.
  • Li YX, Goldbeter A (1990) Frequency encoding of pulsatile signals of cAMP based on receptor desensitization in Dictyostelium cells. J Theor Biol 146, 355-367.


  • Dupont G, Goldbeter A (1989) Theoretical insights into the origin of signal-induced calcium oscillations. In: Cell to Cell Signalling: From Experiments to Theoretical Models (A Goldbeter, ed.) Academic Press, London, pp. 461-474.
  • Goldbeter A, Li XY (1989) Frequency coding in intercellular communication. In: Cell to Cell Signalling: From Experiments to Theoretical Models (A. Goldbeter, ed.) Academic Press, London, pp. 415-432.
  • Goldbeter A, Wurster B (1989) Regular oscillations in suspensions of a putatively chaotic mutant of Dictyostelium discoideum. Experientia 45, 363-365.
  • Li YX, Goldbeter A (1989) Oscillatory isozymes as the simplest model for coupled biochemical oscillators. J Theor Biol 138, 149-174.
  • Li YX, Goldbeter A (1989) Frequency specificity in intercellular communication. Influence of patterns of periodic signaling on target cell responsiveness. Biophys J 55, 125-145. [PDF]
  • Nicolis G, Amellal A, Dupont G, Mareschal M (1989) Nonequilibrium states and long range correlations in chemical dynamics. J Mol Liquids 41, 5-19.


  • Goldbeter A (1988) Temps et rythmes biologiques. In: Redécouvrir le temps (A Nysenholc & JP Boon, eds.) Revue de l'Université de Bruxelles, pp. 93-102.
  • Goldbeter A (1988) Periodic signaling as an optimal mode of intercellular communication. News Physiol Sci 3, 103-105.
  • Goldbeter A, Decroly O, Li Y, Martiel JL, Moran F (1988) Finding complex oscillatory phenomena in biochemical systems. An empirical approach. Biophys Chem 29, 211-217.
  • Goldbeter A, Martiel JL (1988) Developmental control of a biological rhythm: The onset of cAMP oscillations in Dictyostellium cells. In: From Chemical to Biological Organization (M Markus, S Muller & G Nicolis, eds.) Springer, Berlin, pp. 248-254.
  • Goldbeter A, Moran F (1988) Dynamics of a biochemical system with multiple oscillatory domains as a clue for multiple modes of neuronal oscillations. Eur Biophys J 15, 277-287. [PDF]


  • Decroly O (1987) Interplay between two periodic enzyme reactions as a source of complex oscillatory behaviour. In: Chaos in Biological Systems. H Degn, AV Holden & LF Olsen, eds. Plenum Press, New York and London, pp. 49-58.
  • Decroly O, Goldbeter A (1987) From simple to complex oscillatory behaviour: Analysis of bursting in a multiply regulated biochemical system. J Theor Biol 124, 219-250. [PDF]
  • Elkaïm M, Goldbeter A, Goldbeter-Merinfeld E (1987) Analysis of the dynamics of a family system in terms of bifurcations. J Social Biol. Struct. 10, 21-36. [PDF]
  • Goldbeter A (1987) Adaptation, periodic signaling and receptor modification. In: Molecular Mechanisms of Desensitization (TM Konijn, PJM Van Haastert, H Van der Wel & MD Houslay, eds.) Springer, Berlin, pp. 43-62.
  • Goldbeter A (1987) Periodic signaling and receptor desensitization: from cAMP oscillations in Dictyostellium cells to pulsatile patterns of hormone secretion. In: Temporal Disorder in Human Oscillatory Systems (L Rensing, U an der Heiden & MC Mackey, eds.) Springer, Berlin, pp. 15-23.
  • Goldbeter A, Koshland Jr DE (1987) Energy expenditure in the control of biochemical systems by covalent modification. J Biol Chem 262, 4460-4471. [PDF]
  • Goldbeter A, Martiel JL (1987) Periodic behaviour and chaos in the mechanism of intercellular communication governing aggregation of Dictyostellium amoeba. In: Chaos in Biological Systems (H Degn, AV Holden & LF Olsen, eds.) Plenum Press, New York, pp. 79-89.
  • Goldbeter A, Moran F (1987) Complex patterns of excitability and oscillations in a biochemical system. In: The Organization of Cell Metabolism (R Welch & J Clegg, eds.) Plenum Press, New York, pp. 291-306.
  • Martiel JL, Goldbeter A (1987) A model based on receptor desensitization for cyclic AMP signaling in Dictyostelium cells. Biophys J 52, 807-828. [PDF]
  • Martiel JL, Goldbeter A (1987) Origin of bursting and birhythmicity in a model for cyclic AMP oscillations in Dictyostelium cells. Lect Notes Biomath 71, 244-255.
  • Moran F, Goldbeter A (1987) Periodic forcing of a biochemical system with multiple modes of oscillatory behaviour. In: Chaos in Biological Systems (H Degn, AV Holden & LF Olsen, eds.) Plenum Press, New York, pp. 67-77.


  • Knox BE, Devreotes PN, Goldbeter A, Segel LA (1986) A molecular mechanism for sensory adaptation based on ligand-induced receptor modification. Proc Natl Acad Sci USA 83, 2345-2349. [PDF]
  • Segel LA, Goldbeter A, Devreotes PN, Knox BE (1986) A mechanism for exact sensory adaptation based on receptor modification. J Theor Biol 120, 151-179.


  • Decroly O, Goldbeter A (1985) Selection between multiple periodic regimes in a biochemical system: Complex dynamic behaviour resolved by use of one-dimensional maps. J Theor Biol 113, 649-671.
  • Goldbeter A (1985) Complex oscillatory phenomena, including multiple oscillations, in regulated biochemical systems. Biomed Biochim Acta. 44, 881-889.
  • Goldbeter A (1985) Nonequilibrium sensitivity and threshold phenomena in biological systems. In: The Living State-II (RK Mishra, ed.) World Scientific Publ. Co., Singapour, pp. 47-66.
  • Goldbeter A, Martiel JL (1985) Birhythmicity in a model for the cyclic AMP signaling system of the slime mold Dictyostelium discoideum. FEBS Lett 191, 149-153. [PDF]
  • Martiel JL, Goldbeter A (1985) Autonomous chaotic behaviour of the slime mould Dictyostelium discoideum predicted by a model for cyclic AMP signalling. Nature 313, 590-592.
  • Martiel JL, Goldbeter A (1985) Comportements périodiques, excitabilité et chaos dans un modèle pour la génération des signaux d'AMP cyclique chez l'amibe Dictyostelium discoideum. In: Actes du IVème Séminaire de l'Ecole de Biologie Théorique (G Benchetrit & J Demongeot, eds.) Editions du C.N.R.S., Paris, pp. 225-234.
  • Moran F, Goldbeter A (1985) Excitability with multiple thresholds. A new mode of dynamic behavior analyzed in a regulated biochemical system. Biophys Chem 23, 71-77.
  • Segel LA, Goldbeter A, Devreotes PN, Knox BE (1985) A model for sensory response and exact adaptation mediated by receptor modification. In: Sensing and Response in Microorganisms (M Eisenbach & M Balaban, eds.) Elsevier, Amsterdam, pp. 175-183.


  • Decroly O, Goldbeter A (1984) Coexistence entre trois régimes périodiques stables dans un système biochimique ˆ régulation multiple. C R Acad Sci (Paris) Ser II 298, 779-782.
  • Decroly O, Goldbeter A (1984) Multiple periodic regimes and final state sensitivity in a biochemical system. Phys Lett 105A, 259-262.
  • Decroly O, Goldbeter A (1984) Patterns of nonequilibrium sensitivity in biological systems. In: Fluctuations and Sensitivity in Nonequilibrium Systems (W Horsthemke & DK Kondepudi, eds.) Springer, Berlin, pp. 214-222.
  • Goldbeter A, Koshland Jr DE (1984) Ultrasensitivity in biochemical systems controlled by covalent modification. Interplay between zero-order and multistep effects. J Biol Chem 259, 14441-14447. [PDF]
  • Goldbeter A, Martiel JL, Decroly O (1984) From excitability and oscillations to birhythmicity and chaos in biochemical systems. In: Dynamics of Biochemical Systems (J Ricard & A Cornish-Bowden, eds.) Plenum Press, New York, pp. 173-212.
  • Li YX, Ding DF, Xu JH (1984) Chaos and other temporal self-organization patterns in coupled enzyme-catalyzed systems. Commun Theor Phys (Beijing) 3, 629-638.
  • Martiel JL, Goldbeter A (1984) Oscillations et relais des signaux d'AMP cyclique chez Dictyostelium discoideum: Analyze d'un modèle fondé sur la désensibilisation du récepteur pour l'AMP cyclique. C R Acad Sci (Paris) Ser III 298, 549-552.
  • Moran F, Goldbeter A (1984) Onset of birhythmicity in a regulated biochemical system. Biophys Chem 20, 149-156.


  • Goldbeter A, Decroly O (1983) Temporal self-organization in biochemical systems: periodic behavior vs chaos. Am J Physiol 245, R478-R483.
  • Goldbeter A, Martiel JL (1983) A critical discussion of plausible models for relay and oscillations of cyclic AMP in Dictyostelium discoideum. Lect Notes Biomath 49, 173-188.


  • Decroly O, Goldbeter A (1982) Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system. Proc Natl Acad Sci USA 79, 6917-6921. [PDF]
  • Goldbeter A, Koshland Jr DE (1982) Sensitivity amplification in biochemical systems. Quarterly Review of Biophysics 15, 555-591. [PDF]
  • Goldbeter A, Koshland Jr DE (1982) Simple molecular model for sensing and adaptation based on receptor modification with application to bacterial chemotaxis. J Mol Biol 161, 395-416.
  • Koshland Jr. DE, Goldbeter A, and Stock JB (1982) Amplification and adaptation in regulatory and sensory systems. Science 217, 220-225.


  • Goldbeter A (1981) Bifurcations and the control of developmental transitions: Evolution of the cyclic AMP signalling system in Dictyostellium discoideum. In: Mathematical Biology. Towards a Molecular Science (T Burton, ed.) Pergamon Press, New York, pp. 79-95.
  • Goldbeter A, Koshland Jr DE (1981) An amplified sensitivity arising from covalent modification in biological systems. Proc Natl Acad Sci USA 78, 6840-6844. [PDF]
  • Martiel JL, Goldbeter A (1981) Metabolic oscillations in biochemical systems controlled by covalent enzyme modification. Biochimie 63, 119-124.
  • Prigogine I, Goldbeter A (1981) Nonequilibrium self-organization in biochemical systems. In: Biochemistry of Exercise (J Poortmans, ed.) University Park Press, Baltimore, Md. Vol. 3, pp. 3-12.


  • Goldbeter A (1980) Models for oscillations and excitability in biochemical systems. In: Mathematical Models in Molecular and Cellular Biology (LA Segel, ed.) Cambridge Univ. Press, Cambridge, pp. 248-291.
  • Goldbeter A, Martiel JL (1980) Role of receptor desensitization in the mechanism of cAMP oscillations in Dictyostelium. Fed Proc 39, 1804. (Abstr.)
  • Goldbeter A, Segel LA (1980) Control of developmental transitions in the cyclic AMP signalling system of Dictyostelium discoideum. Differentiation 17, 127-135.
  • Goldbeter A, Venieratos D (1980) Analysis of the role of enzyme co-operativity in metabolic oscillations. J Mol Biol 138, 137-144.


  • Venieratos D, Goldbeter A (1979) Allosteric oscillatory enzymes: Influence of the number of protomers on metabolic periodicities. Biochimie 61, 1247-1256.


  • Goldbeter A (1978) Nonequilibrium behavior of biochemical systems. In: Alcohol and Aldehyde Metabolizing Systems (RG Thurman, JR Williamson, H Drott & B Chance, eds.) Academic Press, New York, Vol. 3, pp. 1-16.
  • Goldbeter A, Erneux T, Segel LA (1978) Excitability in the adenylate cyclase reaction in Dictyostelium discoideum. FEBS Lett 89, 237-241. [PDF]
  • Goldbeter A, Erneux T (1978) Oscillations entretenues et excitabilité dans la réaction de la phosphofructokinase. C R Acad Sci (Paris) Ser C 286, 63-66.
  • Hess B, Goldbeter A, Lefever R (1978) Temporal, spatial and functional order in regulated biochemical and cellular systems. Adv Chem Phys 38, 363-413.


  • Goldbeter A (1977) Thermodynamic and kinetic aspects of regulation. Acta Biochem Biophys Acad Sci Hung 12 141-148.
  • Goldbeter A (1977) On the role of enzyme cooperativity in metabolic oscillations. Analysis of the Hill coefficient in a model for glycolytic periodicities. Biophys Chemi 6, 95-99.
  • Goldbeter A, Segel LA (1977) Unified mechanism for relay and oscillations of cyclic AMP in Dictyostelium discoideum. Proc Natl Acad Sci USA 74, 1543-1547. [PDF]


  • Goldbeter A (1976) Kinetic cooperativity in the concerted model for allosteric enzymes. Biophys Chemist 4, 159-169.
  • Goldbeter A and Caplan SR (1976) Oscillatory enzymes. An Rev Biophys Bioengin 5, 449-476.
  • Goldbeter A, Nicolis G (1976) An allosteric enzyme model with positive feedback applied to glycolytic oscillations. In: Progress in Theoretical Biology (F Snell & R Rosen, eds.) Academic Press, New York, Vol. 4, pp. 65-160.


  • Boiteux A, Goldbeter A, Hess B (1975) Control of oscillating glycolysis of yeast by stochastic, periodic and steady source of substrate: A model and experimental study. Proc Natl Acad Sci USA 72, 3829-3838. [PDF]
  • Goldbeter A (1975) Mechanism for oscillatory synthesis of cyclic AMP in Dictyostelium discoideum. Nature 253, 540-542.
  • Goldbeter A (1975) Contribution to the Faraday Symposium no. 9 Physical Chemistry of Oscillatory Phenomena, pp. 222-224.


  • Goldbeter A (1974) Modulation of the adenylate energy charge by sustained metabolic oscillations. FEBS Lett 43, 327-330. [PDF]
  • Goldbeter A (1974) Kinetic negative cooperativity in the allosteric model of Monod, Wyman and Changeux. J Mol Biol 90, 185-190.


  • Goldbeter A (1973) Patterns of spatiotemporal organization in an allosteric enzyme model. Proc Natl Acad Sci USA 70, 3255-3259. [PDF]


  • Goldbeter A, Lefever R (1972) Dissipative structures for an allosteric model. Application to glycolytic oscillations. Biophys J 12, 1302-1315. [PDF]
  • Goldbeter A, Lefever R (1972) Sustained oscillations in an allosteric enzyme model. In: Analysis and Simulation of Biochemical Systems (HC Hemker & B Hess, eds.) North-Holland, Amsterdam, pp. 163-169.


  • Goldbeter A, Nicolis G (1971) Far from equilibrium synthesis of small polymer chains and chemical evolution. Biophysik 8, 212-226.


  • Prigogine I, Lefever R, Goldbeter A, Herschkowitz-Kaufman M (1969) Symmetry-breaking instabilities in biological systems. Nature 223, 913-916.


Albert Goldbeter
Au coeur des rythmes du vivant:
La vie oscillatoire

Odile Jacob, 2018.
Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
Models of calcium signalling

Springer, 2016.
Albert Goldbeter
Biochemical oscillations and cellular rhythms:
The molecular bases of periodic and chaotic behaviour

Cambridge Univ Press, 1996.
Albert Goldbeter
Rythmes et chaos dans les systèmes biochimiques et cellulaires

Masson, Paris, 1990.


  • Stefan Vet, Dynamical analysis of nutrient-explicit models for small microbial communities (Supervisors: D. Gonze, J. Danckaert (VUB), L. Gelens (KUL/VUB)), July 2020.
  • Rudy Pelicaen, Genome-scale metabolic modeling of candidate functional starter cultures for cocoa bean fermentation (Supervisors: S. Weckx (VUB) and D. Gonze), July 2020.
  • Benjamin Wacquier, Modélisation des interactions entre les signaux calciques et leurs cibles: étude des mitochondries, des hémicanaux et de l'invasion bactérienne (Supervisor: G. Dupont), September 2018.
  • Joëlle De Caluwé, Modeling the plant circadian clock: a study of light, photoperiodism, and growth (Supervisors: D. Gonze / J.C. Leloup), May 2017.
  • Laurane De Mot, Mechanisms of cell differentiation during murine embryogenesis: model for specification in epiblast or primitive endoderm and experimental approach in embryonic stem cells (Supervisors: A. Goldbeter / G. Dupont), November 2013.
  • Dieynaba Ndiaye, Rôle des mitochondries dans la régulation des oscillations de calcium des hépatocytes: approches expérimentale et computationnelle (Supervisors: G. Dupont / L. Combettes (Paris), 2013.
  • Atilla Altinok, Modélisation du cycle cellulaire par un automate stochastique: application à la chronopharmacologie d'agents anticancéreux (Supervisor: A. Goldbeter), 2011.
  • Claude Gérard, Auto-organisation temporelle du réseau de kinases dépendantes de cyclines contrôlant le cycle cellulaire chez les mammifères (Supervisor: A. Goldbeter), 2009.
  • Gérald Houart, Modélisation de la dynamique du Ca2+ intracellulaire : Oscillations complexes, bistabilité, et codage par fréquence des signaux calciques par la CaM kinase (Supervisors: A. Goldbeter / G. Dupont), 2001.
  • Didier Gonze, Modélisation des rythmes circadiens : Mécanismes moléculaires et rôle d'adaptation à l'environnement (Supervisor: A. Goldbeter), 2001.
  • Jean-Christophe Leloup, Modélisation du mécanisme moléculaire des rythmes circadiens chez la drosophile (Supervisor: A. Goldbeter), 2000.
  • Isabella Susa, Modélisation mathématique des oscillations en salves du potentiel membranaire dans les neurones et les cellules ß pancréatiques (Supervisors: J.-L. Martiel (Grenoble) / A. Goldbeter), 1999.
  • Gianluca Guidi, Bistability, irreversible transitions between multiple steady states and oscillations in chemical and enzymatic systems: A theoretical analysis (Supervisor: A. Goldbeter), 1998.
  • Hans Schepers, Theoretical models for oscillations and bistability in cellular signaling involving receptor desensitization (Supervisor: A. Goldbeter), 1997.
  • Pierre-Charles Romond, Modélisation des oscillateurs biochimiques contrôlant la dynamique du cycle cellulaire (Supervisor: A. Goldbeter), 1997.
  • José Halloy, Analyse des comportements dynamiques d'un oscillateur cellulaire: Le système de communication par signaux d'AMP cyclique chez Dictyostelium discoideum (Supervisor: A. Goldbeter), 1996.
  • Geneviève Dupont, Modélisation des oscillations et des ondes de calcium intracellulaire (Supervisor: A. Goldbeter), 1993.
  • Yue-Xian Li, Pulsatile hormonal signaling. A theoretical approach (Supervisor: A. Goldbeter), 1992.
  • Olivier Decroly, Du comportement périodique simple aux oscillations complexes dans les systèmes biochimiques: Bursting, chaos et attracteurs multiples (Supervisor: A. Goldbeter), 1987.

Last update: 28/4/2021