Articles du projet BANG: année 2011 / articles of the BANG project: year 2011

  1. Audusse, E., Benkhaldoun, F., Sainte-Marie, J., Seaid, M.
    Multilayer Saint-Venant Equations over movable beds.
    Discrete Contin. Dyn. Syst.-(B), Vol. 15, No. 4, 917-934, 2011.

  2. Audusse, E., Bristeau, M.O., Pelanti, M., Sainte-Marie, J.
    Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model.
    Kinetic interpretation and numerical validation.
    J. Comput. Phys., 230(9), 3453-3478, 2011

  3. Audusse, E., Bristeau, M.O., Perthame, B., Sainte-Marie, J.
    A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and Numerical Validation.
    M2AN Math. Model. Numer. Anal., Vol. 45(1), 169-200, 2011.

  4. Bristeau, M.O., Goutal, N., Sainte-Marie, J.
    Numerical simulations of a non-hydrostatic shallow water model.
    Computers & Fluids, Vol. 47, No. 1, 51-64, 2011

  5. Pelanti, M., Bouchut, F., Mangeney, A.
    A Riemann Solver for Single-Phase and Two-Phase Shallow Flow Models based on Relaxation. Relations with Roe and VFRoe Solvers.
    J. Comput. Phys., 230(3):515-550, 2011.

  6. Sainte-Marie, J.
    Vertically Averaged Models for the Free Surface Euler System. Derivation and Kinetic Interpretation.
    Mathematical Models and Methods in Applied Sciences, Vol. 21, No. 3, 459--490, 2011.

Articles du projet BANG: année 2010 / articles of the BANG project: year 2010

  1. Berestycki, H., Nadin, G., Perthame, B. Ryzhik, L.
    The non-local Fisher-KPP equation: traveling waves and steady states.
    Nonlinearity, to appear, 2010.

  2. Clairambault, J., Gaubert, S., Lepoutre, T.
    Circadian rhythm and cell population growth.
    Mathematical and Computer Modelling, to appear, 2010.

  3. Doumic, M., Gabriel, P.
    Eigenelements of a general aggregation-fragmentation mode.
    M3AS, to appear, 2010.

  4. Doumic, M., Goudon, T., Lepoutre, T.
    Scaling limit of a discrete prion dynamics model.
    Communications in Mathematical Sciences, to appear, 2010.

  5. Doumic, M., Kim, P., Perthame, B.
    Stability analysis of a simplified yet complete model for chronic myelegeneous leukemia.
    Bull. Math. Biol., to appear, 2010.

  6. Gabriel, P.
    Shape of the polymerization rate in the prion equation.
    Mathematical and Computer Modelling, to appear, 2010.

  7. Goutal, N., Sainte-Marie, J.
    A kinetic interpretation of the section-averaged Saint-Venant system for natural river hydraulics.
    International Journal for Numerical Methods in Fluids, published on line, DOI: 10.1002/fld.2401, 2010.

  8. Lévi, F., Okyar, A., Dulong, S., Innominato, P.F., Clairambault, J.
    Circadian Timing in Cancer Treatments.
    Annual Review of Pharmacology and Toxicology, vol. 50, pp. 377-421, 2010.

  9. Marrocco, A., Henry, H., Holland, I., Plapp, M., Seror, S., Perthame, B.
    Models of self-organizing bacterial communities and comparisons with experimental observations.
    Math. Model. Nat. Phenom., to appear, 2010.

  10. Radszuweit, M., Block, M., Hengstler, J., Schoell, E., Drasdo, D.
    Comparing the growth kinetics of cell populations in two and three dimensions.
    Phys. Rev. E, 2010, vol. 79, no. 051907.

  11. Steimer, J.-L., Dahl, S. G., De Alwis, D., Gundert-Remy, U., Karlsson, M., Martinkova, J., Aarons, L., Ahr, H.-J., Clairambault, J., Freyer, G., Friberg, L., Ludwig, W.-D., De Nicolao, G., Rocchetti, M., Troconiz, I. F.
    Modelling the genesis and treatment of cancer: the potential role of physiologically-based pharmacodynamics.
    European Journal of Cancer, 2010, 46(1):21-32.

Articles du projet BANG: année 2009 / articles of the BANG project: year 2009

  1. Bendahmane, M,. Lepoutre, T., Marrocco, A., Perthame, B.
    Conservative cross diffusions and pattern formation through relaxation.
    Journal de Mathématiques Pures et Appliquées, December 2009, vol. 92, no. 6, pp. 651-667.
    http://www.sciencedirect.com/science/article/B6VMD-4WD1C3K-1/2ca28b3816376790bee1a483dff3b38be.

  2. Byrne, H., Drasdo, D.
    Individual-based and continuum models of growing cell populations: a comparison.
    J. Math. Biol., 2009, vol. 58, no. 4-5, pp. 657-687.

  3. Calvez, V., Lenuzza, N., Doumic, M., Deslys, J.-P. , Mouthon, F., Perthame, B.
    Prion dynamics with size dependency - strain phenomena.
    J. Biological Dynamics, 2009, vol. 4, no. 1, pp. 28-42.

  4. Calvez, V., Lenuzza, N., Oelz, D., Deslys, J.-P., Laurent, P., Mouthon, F., Perthame, B.
    Size distribution dependence of prion aggregates infectivity.
    Math. Biosciences, 2009, vol. 217, pp. 88-99.

  5. CLAIRAMBAULT, J.
    Modelling physiological and pharmacological control on cell proliferation to optimise cancer treatments.
    Mathematical Modelling of Natural Phenomena, 4(3):12-67, 2009. doi: 10.1051/mmnp/20094302.

  6. CLAIRAMBAULT, J., GAUBERT, S., AND LEPOUTRE, T.
    Comparison of Perron and Floquet eigenvalues in age structured cell division models.
    Mathematical Modelling of Natural Phenomena, 4(3):183-209, 2009. doi: 10.1051/mmnp/20094308.

  7. DECOENE, A., AND GERBEAU, J.-F.
    Sigma transformation and ALE formulation for three-dimensional free surface flows.
    Internat. J. Numer. Methods Fluids, 59(4):357-386, 2009.

  8. Dalibard, A.-L., Perthame, B.
    Existence of solutions of the hyperbolic Keller-Segel model.
    Trans. AMS, 2009, vol. 361, no. 5, pp. 2319-2335.

  9. Doumic, M.
    Boundary Value Problem for an Oblique Paraxial Model of Light Propagation.
    MAA, March 2009, vol. 16, no. 1, pp. 119-138.

  10. Doumic, M., Duboc, F., Golse, F., Sentis, R.
    Simulation of laser beam propagation with a paraxial model in a tilted frame.
    Journal of Computational Physics, February 2009, vol. 228, no. 3, pp. 861-880.

  11. Doumic, M., Perthame, B., Zubelli, J.
    Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics.
    Inverse Problems, April 2009, vol. 25, no. 4.

  12. Höhme, S., Drasdo, D.
    Biomechanical versus nutrient control: what determines the growth dynamics of mammalian cell population?
    Mathematical Population Studies, accepted, 2009.

  13. Krinner, A., Zscharnack, M., Bader, A., Drasdo, D., Galle, J.
    The impact of the oxygen environment on mesenchyma stem cell expansion and chondrogenic differentiation.
    Cell Proliferation, 2009, vol.Ê42, pp. 471-484.

  14. Laurençot, P., Perthame, B..
    Exponential decay for the growth-fragmentation/cell-division equation.
    Comm. Math. Sci., 2009, vol. 7, no. 2, p. 503-510.

  15. Ramis-Conde, I., Chaplain, M., Anderson, A., Drasdo, D.
    Multi-scale modelling of cell intravasation: role of cadherins in metastasis.
    Phys. Biol., 2009, vol. 6, no. 1, p. 16008-16020.

  16. Souganidis, P., B. Perthame, B.
    Asymmetric potentials and motor effect: an homogeneisation approach.
    Ann. IHP, Anal. Non Linéaire, 2009, vol. AN 26, no. 6, pp. 2055-2071.

  17. Souganidis, P., Perthame, B.
    Asymmetric potentials and motor effects: a large deviation approach.
    ARMA, 2009, vol. 193, no. 1, pp. 153-163.

Articles du projet BANG: année 2008 / articles of the BANG project: year 2008

  1. ADIMY, M., BERNARD, S., CLAIRAMBAULT, J., CRAUSTE, F., GÉNIEYS, S., AND PUJO-MENJOUET, L.
    Modélisation de la dynamique de l'hématopoïèse normale et pathologique.
    Hématologie, 14(5):339-350, 2008.

  2. AUDUSSE, E., BRISTEAU, M.-O., AND DECOENE, A.
    Numerical simulations of 3d free surface flows by a multilayer Saint-Venant model.
    Int. J. for Numerical Methods in Fluids, 56:331-350, DOI:10.1002/fld.1534, 2008.

  3. BEKKAL BRIKCI, F., CLAIRAMBAULT, J., RIBBA, B., AND PERTHAME, B.
    An age-and-cyclin-structured cell population model for healthy and tumoral tissues.
    Journal of Mathematical Biology, 57(1):91-110, 2008.

  4. BEKKAL BRIKCI, F., CLAIRAMBAULT, J., AND PERTHAME, B.
    Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle.
    Mathematical and Computer Modelling, 47(7-8):699-713, 2008.

  5. BRISTEAU, M.-O., AND SAINTE-MARIE, J.
    Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems.
    Discrete Contin. Dyn. Syst., Ser. B, 10(4):733-759, 2008.

  6. CLAIRAMBAULT, J.
    A Step Toward Optimization of Cancer Therapeutics. Physiologically Based Modeling of Circadian Control on Cell Proliferation.
    Article in a special issue of the IEEE-EMB Magazine: "Rhythms from seconds to days, Physiological importance and therapeutic implications". Extended version (5 pages) of a paper first published in the Proceedings of the 28th annual international conference of the IEEE-EMB Society, New-York, August 2006.
    IEEE-EMB Magazine, 27(1):20-24, 2008.

  7. LÉVI, F., ALTINOK, A., CLAIRAMBAULT, J., AND GOLDBETER, A.
    Implications of circadian clocks for the rhythmic delivery of cancer therapeutics.
    Phil. Trans. Roy. Soc. A, 366(1880):3575-3598, 2008.

Articles du projet BANG: année 2007 / articles of the BANG project: year 2007

  1. AUDUSSE, E., AND BRISTEAU, M.-O.
    Finite volume solvers for a multilayer Saint-Venant system.
    Int. J. of Applied Mathematics and Computer Science, 17, 3:311-320, 2007.

  2. BOUCHUT, F., OUNAISSA, H., PERTHAME, B.
    Upwinding of the source term at interfaces for Euler equations with high friction    .
    Computers and Mathematics with Applications, 53(3-4):361-375, 2007.

  3. CARRILLO, J., CUADRADO, S., AND PERTHAME, B.
    Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model.
    Mathematical Biosciences, 205(1):137-161 (2007).

  4. CLAIRAMBAULT, J., GAUBERT, S., AND PERTHAME, B.
    An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations.
    C.-R. Acad. Sci. Ser. I Mathématique, 345:549-554, 2007.

  5. CLAIRAMBAULT, J.
    Modeling oxaliplatin drug delivery to circadian rhythms in drug metabolism and host tolerance.
    Advanced Drug Delivery Reviews, 59:1054-1068, 2007.

  6. DOUMIC, M.
    Analysis of a population model structured by the cells molecular content.
    Mathematical Modelling of Natural Phenomena, 2(3):121-152, DOI: 10.1051/mmnp:2007006, 2007.

  7. DRASDO, D., HÖHME, S., AND BLOCK, M.
    On the role of physics in the growth and pattern formation of multi-cellular systems: What can we learn from individual-cell based models?
    Journal of Statistical Physics, 128(1): 287-345, 2007.

  8. HÖHME, S., HENGSTLER, J. G., BRULPORT, M., SCHÄFER, M., BAUER, A., GEBHART, R, AND DRASDO, D.
    Mathematical modelling of liver regeneration after intoxication with CCl4.
    Chemico-Biological Interaction, 168(1):74-93, 2007.

  9. MANGENEY, A., BOUCHUT, F., THOMAS, N., VILOTTE, J. P., AND BRISTEAU, M.-O.
    Numerical modeling of self-channeling granular flows and of their levée/channel deposits.
    Journal of Geophysical Research - Earth Surface, 112, F02017, DOI:10.1029/2006JF000469, 2007.

  10. PIRULLI, M., BRISTEAU, M.-O., MANGENEY, A., AND SCAVIA, C.
    The effect of the earth pressure coefficients on the runout of granular material.
    Environmental Modelling and Software, 22(10):1437-1454, 2007.

Articles du projet BANG: année 2006 / articles of the BANG project: year 2006

  1. BLANCHET, A., DOLBEAULT, J., AND PERTHAME, B.
    Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.
    Electron. J. Diff. Eqns., 44:1-32, 2006.

  2. CALVEZ, V., AND PERTHAME, B.
    A Lyapunov function for a two-chemical version of the chemotaxis model.
    BIT Num. Math., 46:85-97, 2006.

  3. CLAIRAMBAULT, J., MICHEL, P., AND PERTHAME, B.
    Circadian rhytm and tumour growth.
    C.-R. Acad. Sci. Ser. I Mathématique, 342:17-22, 2006.

  4. CORRIAS, L., AND PERTHAME, B.
    Critical space for the parabolic-parabolic Keller-Segel model in IRd.
    C. R. Acad. Sci. Paris Ser. I Mathématique, 342:745-750, 2006.

  5. GWIAZDA, P., AND PERTHAME, B.
    Invariants and exponential rate of convergence to steady state in the renewal equation.
    Markov Processes and Related Fields (MPRF), 2:413-424, 2006.

Articles du projet BANG : année 2005 / articles of the BANG project: year 2005

  1. ANILE, A. M., MARROCCO, A., ROMANO, V., AND SELLIER, J.-M.
    2d Numerical simulation of the MEP energy-transport model with a mixed finite element scheme.
    Journal of Computational Electronics, 4(3-4):231-259, 2005.

  2. AUDUSSE, E.
    A multilayer Saint-Venant model.
    Discrete and Continuous Dynamical Systems B, 5(2):189-214, 2005.

  3. AUDUSSE, E., AND BRISTEAU, M.-O.
    A well-balanced positivity preserving second-order scheme for shallow water flows on unstructured meshes.
    J. Comp. Phys., 206:311-313, 2005.

  4. AUDUSSE, E., AND PERTHAME, B.
    Uniqueness for a scalar conservation law with discontinuous flux via adapted entropies.
    Proc. Royal Soc. of Edinburgh, 135A:1-13, 2005.

  5. BASDEVANT, C., CLAIRAMBAULT, J., AND LÉVI, F.
    Optimisation of time scheduled regimen for anti-cancer drug infusion.
    Mathematical Modelling and Numerical Analysis, 39(6):1069-1086, 2005.

  6. DIEKMANN, O., JABIN, P.-E., MISCHLER, S., AND PERTHAME, B.
    The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.
    Th. Pop. Biol., 67:257-271, 2005.

  7. FILBET, F., LAURENÇOT, P., AND PERTHAME, B.
    Derivation of hyperbolic models for chemosensitive movement.
    J. Math. Biol., 50:189-207, 2005.

  8. MARTIN, V., CLÉMENT, F., DECOENE, A., AND GERBEAU, J.-F.
    Parameter identification for a one-dimensional bloo flow model.
    In ESAIM Proceedings, E. Cancès and J.-F. Gerbeau (Eds.), 14:174-200, 2005.

  9. MICHEL, P., MISCHLER, S., AND PERTHAME, B.
    General relative entropy inequality: an illustration on growth models.
    J. Math. Pures et Appl., 84:1235-1260, 2005.

  10. RYZHIK, L., AND PERTHAME, B.
    Exponential decay for the fragmentation or cell-division equation.
    J. Diff. Eq., 210:155-177, 2005.

  11. SOUGANIDIS, P. E., AND PERTHAME, B.
    Front propagation for a jump process arising in spatial ecology.
    Discrete and Continuous Dynamical Systems A, 13(5):1235-1246, 2005.

Articles du projet BANG : année 2004 / articles of the BANG project : year 2004

  1. AUDUSSE, E., BOUCHUT, F., BRISTEAU, M.-O., KLEIN, R., AND PERTHAME, B.
    A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows.
    SIAM J. Sc. Comp., 25(6):2050-2065, 2004.

  2. CHALUB, F., MARKOWICH, P., PERTHAME, B., AND SCHMEISER, C.
    Kinetic models for chemotaxis and their drift-diffusion limits.
    Monatshefte für Mathematik ,142(1-2):123-141, 2004.

  3. CORRIAS, L., PERTHAME, B., AND ZAAG, H.
    Global solutions of some chemotaxis and angiogenesis systems in high space dimensions.
    Milano J. of Math., 72:1-29, 2004.

  4. DECOENE, A.
    Equations de Navier-Stokes à surface libre en dimension 3 avec hypothèse hydrostatique.
    Rapport Interne HP-75/04/020/A, EDF R&D, LNHE, Avril 2004.

  5. KATSAOUNIS, T., PERTHAME, B., AND SIMEONI, C.
    Upwinding sources at interfaces in conservation laws.
    Applied Math. Letters, 17:410-430, 2004.

  6. MICHEL, P., MISCHLER, S., AND PERTHAME, B.
    General entropy equations for structured population models and scattering.
    C.R. Acad. Sci. Paris, Série I, Mathématique, 338:697-702, 2004.

  7. PERTHAME, B.
    Mathematical tools for kinetic equations.
    Bull. A.M.S., 41:205-244, 2004.

  8. PERTHAME, B.
    PDE models for chemotactic movements, parabolic, hyperbolic and kinetic.
    Appl. Math., 49(6):539-564, 2004.

Articles du projet BANG : année 2003 / articles of the BANG project: year 2003

  1. AUDUSSE, E., AND BRISTEAU, M.-O.
    Transport of pollutant in shallow water. a two time steps kinetic method.
    Mathematical Modelling and Numerical Analysis, 37(2):389-416, 2003.

  2. BELHADJ, M., GERBEAU, J.-F., AND PERTHAME, B.
    A multiscale colloid transport model with anistropic degenerate diffusion.
    Asymptotic Analysis, 34(1):41-54, 2003.

  3. BOUCHUT, F., MANGENEY, A., PERTHAME, B., AND VILOTTE, J.-P.
    Saint-Venant and savage-hutter type for gravity driven shallow waterflows.
    C. R. Acad. Sci. Paris, Ser. I Mathématique, 336(6):531-536 2003.

  4. CORRIAS, L., PERTHAME, B., AND ZAAG, H.
    A chemotaxis model motivated by angiogenesis.
    C.R. Acad. Sc. Paris, Ser .I Mathématique336(2)141-146, 2003.

  5. MAKRIDAKIS, C., AND PERTHAME, B.
    Optimal rate of convergence for anisotropic vanishing viscosity limit of a scalar balance law.
    SIAM J. Math. Anal., 34(6):1300-1307, 2003.

  6. A. Mangeney-Castelnau, J. P. Vilotte, M.-O. Bristeau, B. Perthame, F. Bouchut, C. Simeoni, S. Yernini,
    Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme,
    J. Geophys. Res., vol. 108, no B11, pp. 2527-2542, 2003.

  7. MARROCCO, A.
    Numerical simulation of chemotactic bacteria aggregation via mixed finite elements.
    Mathematical Modelling and Numerical Analysis, 37(4):617-630, 2003.

Publications antérieures du projet M3N / Previous publications of the M3N project (2000-2002)

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