Jean-Luc Gouzé

Organization: INRIA
Unit: Sophia Antipolis
Team: Projet Comore
E-mail: gouze@sophia.inria.fr
Telephone:  33 4 92 38 78 75
Fax: 33 4  92 38 78 58 

Brief Curriculum

Main topics :
 

• mathematical modeling of biological systems

• qualitative studies of dynamical systems

• Control theory applied to biological models

• modeling of ecosystems, of bioreactors

and more specifically :
 

• systems with positive variables

• Lotka Volterra systems (dimension n)

• structure of biological models

• validation of models

• analysis of experimental data

• observers

Some publications

Mémoire d'habilitation à diriger les recherches (in french...) (a survey of my old works)

"Analyse mathématique qualitative de modèles biologiques "

Université de Nice-Sophia Antipolis, juin 1996.

(you can ask me for: gouze@sophia.inria.fr)

Papers

[Casey etal., 2005]

Casey, R., de Jong, H., and Gouzé, J.-L. (2005). Piecewise-linear models of genetic regulatory networks: Equilibria and their stability. Journal of Mathematical Biology. In press.

[Gouzé and Robledo, 2005a]

Gouzé, J. and Robledo, G. (2005a). Feedback control for nonmonotone competition models in the chemostat. Nonlinear Analysis: Real World Applications, 6:671--690.

[Gouzé and Robledo, 2005b]

Gouzé, J. and Robledo, G. (2005b). Robust control for an uncertain chemostat model. To appear in International Journal of Robust and Nonlinear Control.

[Lemesle and Gouzé, 2005a]

Lemesle, V. and Gouzé, J. L. (2005a). A biochemically based structured model of phytoplankton growth in the chemostat. Ecological Complexity, 2:21--33.

[Lemesle and Gouzé, 2005b]

Lemesle, V. and Gouzé, J. L. (2005b). An hybrid bounded error observer for uncertain bioreactor models. Bioprocess and Biosystems Engineering, 27:311--318.

[L.Mailleret etal., 2005]

L.Mailleret, Gouzé, J.-L., and Bernard, O. (2005). Nonlinear control for algae growth models in the chemostat. Bioprocess and Biosystem Engineering, 27:319--327.

[Bernard and Gouzé, 2004]

Bernard, O. and Gouzé, J.-L. (2004). Closed loop observers bundle for uncertain biotechnological models. J. Process Control,

14:7:765--774.  (preliminary version)

[deJong etal., 2004]

de Jong, H., Gouzé, J.-L., Hernandez, C., Page, M., Sari, T., and Geiselmann, H. (2004). Qualitative simulation of genetic regulatory networks using piecewise-linear models. J. Math. Biol, 66:301--340. (preliminary version)

[Gouzé and Sari, 2003]

Gouzé, J.-L. and Sari, T. (2003). A class of piecewise linear differential equations arising in biological models. Dynamical systems, 17:299--316. (preliminary version)

[Rapaport and Gouzé, 2003]

Rapaport, A. and Gouzé, J.-L. (2003). Parallelotopic and practical observers for nonlinear uncertain systems. Int. Journal. Control, 76:237--251  (preliminary version)

[Arino etal., 2002]

Arino, J., Gouzé, J.-L., and Sciandra, A. (2002). A discrete, size-structured model of phytoplankton growth in the chemostat. Introduction of non constant cell division. J. Math. Biol., 45:313--33. (preliminary version)

[Arino and Gouzé, 2002]

Arino, J. and Gouzé, J.-L. (2002). A size-structured, non conservative ODE model of the chemostat. Mathematical Biosciences, 177-178:127--145. (preliminary version)

[Bernard and Gouzé, 2002]

Bernard, O. and Gouzé, J.-L. (2002). Global qualitative behavior of a class of nonlinear biological systems: application to the qualitative validation of phytoplankton growth models. Artif. Intel., 136:29--59. (preliminary version)

[Hadj-Sadok and Gouzé, 2001]

Hadj-Sadok, M. Z. and Gouzé, J. L. (2001). Estimation of uncertain models of activated sludge process with interval observers. Journal of Process Control, 11(3):299--310. (preliminary version)

[Karama etal., 2001]

Karama, A., Bernard, O., Gouzé, J., Benhammou, A., and Dochain, D. (2001). Hybrid neural modelling of an anaerobic digester with respect to biological constraints. Wat. Sci. Technol., 43(7):1--8.

[Touzeau and Gouzé, 2001]

Touzeau, S. and Gouzé, J.-L. (2001). Regulation of a fishery: from a local optimal control problem to an ``invariant domain'' approach. Natural Resource Modeling, 14(2):311--333.  (preliminary version)

[Gouzé etal., 2000]

Gouzé, J. L., Rapaport, A., and Hadj-Sadok, Z. (2000). Interval observers for uncertain biological systems. Ecological modelling, 133:45--56. (preliminary version)

[Bernard and Gouzé, 1999]

Bernard, O. and Gouzé, J.-L. (1999). Nonlinear qualitative signal processing for biological systems: application to the algal growth in bioreactors. Mathematical Biosciences, 157:357--372. (preliminary version)

[Touzeau and Gouzé, 1998]

Touzeau, S. and Gouzé, J.-L. (1998). On the stock-recruitment relationships in fish population models. Environmental modelling and assessment, 3:87--93. (preliminary version)

[Gouzé, 1998]

Gouzé, J.-L. (1998). Positive and negative circuits in dynamical systems. Journal Biol. Syst., 6(1):11--15. (preliminary version)

[Bernard and Gouzé, 1996]

Bernard, O. and Gouzé, J.-L. (1996). Transient behavior of biological models as a tool of qualitative validation- Applications to the Droop model and to a N-P-Z-model. Journal of Biological Systems, 4(3):303--314.

[Gouzé, 1995]

Gouzé, J.-L. (1995). Positivity, space scale, and convergence towards the equilibrium. Journal of Biological Systems, 3(2):613--620.  (preliminary version)

[Bernard and Gouzé, 1995b]

Bernard, O. and Gouzé, J.-L. (1995b). Transient behavior of biological loop models, with application to the Droop model. Mathematical Biosciences, 127:19--43. (preliminary version)

[Gouzé and Hadeler, 1994]

Gouzé, J.-L. and Hadeler, K. P. (1994). Order intervals and monotone flow. Nonlinear World, 1:23--34.(pdf scan, very big...)

[Gouzé, 1993a]

Gouzé, J.-L. (1993a). Global behaviour of Lotka-Volterra systems. Mathematical Biosciences, 113:231--243. (preliminary version)

[Sciandra etal., 1990]

Sciandra, A., Gouzé, J.-L., and Nival, P. (1990). Modelling the reproduction of centropages typicus (Copepoda: Calanoida) in a fluctuating food supply. Journal of Plankton Research, 12:549--572.

[Bourgeois etal., 1986]

Bourgeois, J., Toutant, M., Gouzé, J.L, and Changeux, J.P (1986). Effect of activity on the selective stabilization of the motor innervation of fast muscle posterior latissimus dorsi from chick embryo. International Journal of Developmental Neuroscience, 4(5):415--430.

[Gouzé and Vignard, 1984]

Gouzé, J.-L. and Vignard, P. (1984). Edora : un système intelligent d'aide à la modélisation en biologie. AMSE Review, 2(3):9--26.

[Gouzé etal., 1983]

Gouzé, J.-L., Lasry, J.-M., and Changeux, J.-P. (1983). Selective stabilization of muscle innervation during development : a mathematical model. Biological Cybernetics, 46(3):207--216.

Proceedings

[Bernard and Gouzé, 2004b]

Bernard, O. and Gouzé, J.-L. (2004b). Closed loop observers bundle for uncertain biotechnological models. In Proceedings of CAB9. Nancy, F.

[Bernard and Gouzé, 2004c]

Bernard, O. and Gouzé, J.-L. (2004c). Multi-observateurs en boucle fermée pour des modèles biotechnologiques mal connus. In Proceedings of the CIFA conference. Douz, Tunisia.

[Lemesle and Gouzé, 2004]

Lemesle, V. and Gouzé, J.-L. (2004). Growth models for cells in the chemostat. In Proceedings of MTNS. Leuwen, Belgium.

[Robledo and Gouzé, 2004]

Robledo, G. and Gouzé, J.-L. (2004). Positive control for competition models with inhibition in the chemostat. In Proceedings of MTNS. Leuwen, Belgium.

[Gouzé, 2003]

Gouzé, J.-L. (2003). Differential systems with positive variables. In First International Symposium on Positive Systems: Theory and Application. (preliminary version)

[Mailleret etal., 2003]

Mailleret, L., Gouzé, J.-L., and Bernard, O. (2003). Nonlinear control for algae growth models in the chemostat. In European Control Conference 03.

[Verdoit and J-L.Gouzé, 2002]

Verdoit, M. and J-L.Gouzé (2002). On the global asymptotic stability of a class of nonlinear, discrete time, population models. In 5th European Conference for Mathematical and Theoretical Biology, Milan Research Centre for Applied and Industrial Mathematics.

[Lemesle and J-L.Gouzé, 2002]

Lemesle, V. and J-L.Gouzé (2002). Structured cell growth models in a chemostat. In 5th European Conference for Mathematical and Theoretical Biology, Milan Research Centre for Applied and Industrial Mathematics.

[deJong etal., 2002a]

de Jong, H., Gouzé, J.-L., Hernandez, C., Page, M., Sari, T., and Geiselmann, H. (2002a). Dealing with discontinuities in the qualitative simulation of genetic regulatory networks. In van Harmelen, F., editor, Proceedings of 15th European Conference on Artifical Intelligence, ECAI 2002, pages 412--416, Amsterdam. IOS Press.

[deJong etal., 2002b]

de Jong, H., Gouzé, J.-L., Hernandez, C., Page, M., Sari, T., and Geiselmann, H. (2002b). Dealing with discontinuities in the qualitative simulation of genetic regulatory networks. In Agell, N. and Ortega, J., editors, Working Notes of 16th International Workshop on Qualitative Reasoning, QR 2002, pages 67--74, Sitges, Barcelona, Spain.

[deJong etal., 2002c]

de Jong, H., Gouzé, J.-L., Hernandez, C., Page, M., Sari, T., and Geiselmann, H. (2002c). Hybrid modeling and simulation of genetic regulatory networks. In Hybrid Systems: Computation and Control (HSCC-03).

[Fruchard etal., 2002]

Fruchard, M., Bernard, O., and Gouzé, J.-L. (2002). Interval observers with confidence levels. Application to the activated sludge process. In Proceedings of the IFAC World Congress, pages CD--ROM. Barcelona, Spain.

[Lemesle and J-L.Gouzé, 2001]

Lemesle, V. and J-L.Gouzé (2001). A bounded error observer for a class of bioreactor models. In Proceedings of the 8th International Conference on Computer Applications in Biotechnology, Modelling and Control of Biotechnological Processes. Quebec, 24-27 June.

[J-L.Gouzé and Lemesle, 2001]

J-L.Gouzé and Lemesle, V. (2001). A bounded error observer with adjustable rate for a class of bioreactor models. In Proceedings of the European Control Conference, ECC 2001. Porto, Portugal, 5-7 Sept.

[Rapaport and Gouzé, 2001]

Rapaport, A. and Gouzé, J. (2001). Polytopic observers for nonlinear uncertain systems. In Proceedings of the 5th IFAC Nonlinear Control Systems Design Symposium. St-Petersburg, Russia, 4--6 July.

[Vatcheva etal., 2001a]

Vatcheva, I., Bernard, O., deJong, H., Gouzé, J.-L., and Mars, N. (2001a). Discrimination of semi-quantitative models by experiment selection: method and application in population biology. In Proceedings of the IJCAI conference. Washington, U.S. 4-10 Aug.

[Vatcheva etal., 2001b]

Vatcheva, I., Bernard, O., deJong, H., Gouzé, J.-L., and Mars, N. (2001b). Discrimination of semi-quantitative models by experiment selection: method and application in population biology. In Proceedings of the Qualitative Reasoning conference. San Antonio, U.S. 17-19 May.

[Bernard etal., 2000]

Bernard, O., Hadj-Sadok, Z., and Gouzé, J.-L. (2000). Observers for the biotechnological processes with unknown kinetics. application to wastewater treatment. In Proceedings of CDC 2000. Sydney, Australia.

[Gouzé etal., 2000]

Gouzé, J.-L., Bernard, O., and Hadj-Sadok, Z. (2000). Observers with modelling uncertainties for the wastewater treatment processes. In Actes du colloque Automatique et Environnement. Nancy, France.

[Gouzé, 2000]

Gouzé, J.-L. (2000). Dynamical behaviour of Lotka-Volterra systems. In Proceedings of the MTNS. Perpignan, France. (preliminary version)

[Karama etal., 2000a]

Karama, A., Bernard, O., Gouzé, J.-L., Benhammou, A., and Dochain, D. (2000a). Hybrid neural modelling of an anaerobic digester with respect to biological constraints. In Proceedings of IAWQ. Paris, France.

[Karama etal., 2000b]

Karama, A., Bernard, O., Gouzé, J.-L., Genovesi, A., A.Benhammou, Dochain, D., and Steyer, J.-P. (2000b). Constraint integration in hybrid neural modelling: example of an anaerobic wastewater treatment process. In Proceedings of CIMASI. Casablanca, Maroc.

[Rapaport and Gouzé, 1999]

Rapaport, A. and Gouzé, J. (1999). Practical observers for uncertain affine outputs injection systems. In Proceedings of ECC99 (CDROM). Karlsruhe, Germany.

[Bernard and Gouzé, 1998a]

Bernard, O. and Gouzé, J.-L. (1998a). Nonlinear qualitative signal processing for monitoring biological systems: application to the phytoplankton growth in bioreactors. In From Sensors To Decision Support Systems in Agriculture, Food-Industry and Environment, (CDROM). Montpellier, France, February 23-27.

[Bernard and Gouzé, 1998b]

Bernard, O. and Gouzé, J.-L. (1998b). Qualitative dynamics of a class of nonlinear biological systems: application to structural validation of phytoplankton growth models. In Proceedings of the Conference on System Structure and Control, pages 795--800. Nantes, France, July 8-10.

[Hadj-Sadok and Gouzé, 1998a]

Hadj-Sadok, M. Z. and Gouzé, J. L. (1998a). Bounds estimation for uncertain models of wastewater treatment. In IEEE International Conf. on Control and Applications, (CDROM). Trieste, Italy.

[Hadj-Sadok and Gouzé, 1998b]

Hadj-Sadok, M. Z. and Gouzé, J. L. (1998b). Interval observers for uncertain models of wastewater treatment processes. In CONTROLO'98 3^rd Portuguese Conference on Automatic Control, (CDROM). Coimbra, Portugal.

[Hadj-Sadok etal., 1998]

Hadj-Sadok, M. Z., Gouzé, J. L., and Rapaport, A. (1998). Interval observers for uncertain models of activated sludge processes. In Waste Decision 98, International Workshop on Decision and Control in Waste Bio-Processing, (CDROM). Narbonne, France.

[Hadj-Sadok and Gouzé, 1999]

Hadj-Sadok, M. Z. and Gouzé, J. L. (1999). Comparison between two interval observers for wastewater treatment models. In Proceedings of the European Control Conference ECC99 (CDROM). Karlsruhe, Germany.

[Touzeau and Gouzé, 1997b]

Touzeau, S. and Gouzé, J.-L. (1997b). Une modélisation du recrutement. In Blasco, F., editor, Tendances nouvelles en modélisation pour l'environnement. Elsevier.

[Bernard and Gouzé, 1997b]

Bernard, O. and Gouzé, J.-L. (1997b). Global qualitative validation of biological models : application to the modeling of phytoplankton growth. In Sydow, A., editor, Proceedings of the 15^th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, volume 2, pages 771--777. Berlin, August.

[Bernard and Gouzé, 1997c]

Bernard, O. and Gouzé, J.-L. (1997c). Nonlinear qualitative signal processing for monitoring biological systems: application to the phytoplankton growth in bioreactors. In Farkas, I., editor, Proceedings of the second International Symposium on mathematical Modelling and Simulation in Agricultural and Bio-Industries, pages 185--190. Budapest, Hungary, May 7-9, 1997.

[Gouzé, 1997a]

Gouzé, J.-L. (1997a). Des critères logiques pour construire les modèles : application aux réseaux trophiques. In Blasco, F., editor, Tendances nouvelles en modélisation pour l'environnement. Elsevier.  (preliminary version)

[Gouzé, 1997b]

Gouzé, J.-L. (1997b). Stability of a class of nonlinear stirred tank reactors. In Bastin, G. and Gevers, M., editors, Proceedings of ECC97 (European conference on control). Bruxelles, July. (preliminary version)

[Gouzé, 1996a]

Gouzé, J.-L. (1996a). Des critères logiques pour construire les modèles : application aux réseaux trophiques. In Weil, A., editor, Actes des journées du programme Environnement, Vie et Sociétés. La Villette, Paris, 15-17 janvier.

[Gouzé, 1996b]

Gouzé, J.-L. (1996b). Global stabilisation of a class of non-linear systems by a positive control. In de Carvalho, J. M., editor, Proceedings of the Second Portuguese Conference on Automatic Control, pages 491--494.

[Touzeau and Gouzé, 1995]

Touzeau, S. and Gouzé, J. (1995). A propos des relations stock-recrutement. In Briand, F., editor, Rapport du XXXIVe Congrès de la CIESM (Commission Internationale pour l'Exploration Scientifique de la mer Méditerranée). La Valette, Malte, 27-31 mars.

[Gouzé, 1994a]

Gouzé, J.-L. (1994a). Global stabilization of n-dimensional population models by a positive control. In Proceedings of the 33rd IEEE Conf. on Decision and Control, pages 1335--1336. Orlando , USA, dec 94. (preliminary version)

[Gouzé, 1994b]

Gouzé, J.-L. (1994b). Positivity, space scale, and convergence towards the equilibrium. In Auger, P. and Demongeot, J., editors, Second European Conference on Mathematics applied to Biology and Medicine. Lyon, dec. 93, Wuertz.

[Gouzé, 1994c]

Gouzé, J.-L. (1994c). Structure des modèles en biologie. In Vérine, H., editor, La Biologie Théorique à Solignac, pages 27--40, Paris. Actes du colloque de Solignac 1988, Polytechnica.

[Gouzé, 1993]

Gouzé, J.-L. (1993). Causal structures of mathematical models in biology. In Demongeot, J. and Capasso, V., editors, Proceedings of the First European Conference of Mathematics applied to Biology and Medicine, pages 387--393. Wuerz.

[Gouzé, 1993b]

Gouzé, J.-L. (1993b). Global behaviour of polynomial differential systems in the positive orthant. In Perello, C., Simo, C., and Sola-Morales, J., editors, International Conference on Differential Equations, pages 561--567. Barcelone, août 91, World Scientific.

[Gouzé, 1992a]

Gouzé, J.-L. (1992a). Behaviour at infinity of Lotka-Volterra systems. In Arino, O. and Kimmel, M., editors, 3rd International conference on mathematical population dynamics. Pau, mai 1992

[Gouzé, 1992b]

Gouzé, J.-L. (1992b). Global behaviour in asymmetric continuous neural networks. In Aleksander, I., editor, International Conference on Artificial Neural Networks, pages 441--444, Brighton. Elsevier.

[Gouzé, 1992c]

Gouzé, J.-L. (1992c). Transformation of polynomial systems in the positive orthant. In Kimura and Kodama, editors, Proceedings of the MTNS-91, pages 87--93. Kobe, Japon, MITA Press. (preliminary version)

[Gouzé, 1990d]

Gouzé, J.-L. (1990d). Stabilisation globale de systèmes non-linéaires par un contrôle positif. In Bensoussan, A. and Lions, J., editors, Analysis and Optimization of systems, pages 324--331. Lecture Notes in Control and Information Sciences, 144, Springer-Verlag.

[Gouzé, 1988b]

Gouzé, J.-L. (1988b). Structure des modèles mathématiques en biologie. In Bensoussan, A. and Lions, J., editors, Analysis and optimisation of systems, pages 1152--1163. Lecture Notes in Control and Information Sciences, 111, Springer-Verlag.

[Gouzé and Vignard, 1985]

Gouzé, J.-L. and Vignard, P. (1985). Intelligence artificielle et modélisation en biologie. In Cesta, editor, Actes du colloque Cognitiva, pages 823--828, Paris. AFCET.

Reports, ...

Gouzé and Sari, 2001]

Gouzé, J.-L. and Sari, T. (2001). A class of piecewise linear differential equations arising in biological models. Technical Report 4207, INRIA.

[Arino etal., 2000]

Arino, J., Gouzé, J.-L., and Sciandra, A. (2000). A discrete, size-structured model of phytoplankton growth in the chemostat. Technical Report 3963, INRIA.

[Bernard and Gouzé, 1998c]

Bernard, O. and Gouzé, J.-L. (1998c). Global qualitative behavior of a class of nonlinear biological systems: application to the qualitative validation of phytoplankton growth models. Technical Report 3334, INRIA.

[Touzeau and Gouzé, 1997a]

Touzeau, S. and Gouzé, J.-L. (1997a). Exemples d'applications de l'automatique à l'halieutique. Journal du CIHEAM, Cahiers Options Méditerranée.

[Gouzé, 1996c]

Gouzé, J.-L. (1996c). Habilitation à diriger les recherches : Analyse mathématique qualitative de modèles biologiques. Université de Nice-Sophia Antipolis.

[Gouzé, 1990b]

Gouzé, J.-L. (1990b). Global behaviour of polynomial differential systems in the positive orthant. Rapport de Recherche 1345, INRIA.  (download)

[Gouzé, 1990c]

Gouzé, J.-L. (1990c). An inequality involving nonnegative matrices and increasing functions. Rapport de Recherche 1330, INRIA

[Gouzé, 1988a]

Gouzé, J.-L. (1988a). A criterion of global convergence to equilibrium for differential systems ; applications to Lotka-Volterra systems. Rapport de Recherche 894, INRIA. (download)

[Gouzé and Sciandra, 1986]

Gouzé, J.-L. and Sciandra, A. (1986). La loi exponentielle et ses vérifications en biologie. In Pavé, A., editor, Cahiers EDORA. Rapport INRIA 866.

JL Gouzé, Projet Comore