Publication list (updated July 2016)

    Preprints

  • V. Calvez, Chemotactic waves of bacteria at the mesoscale, preprint (2016).
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  • E. Bouin, V. Calvez, E. Grenier, and G. Nadin, Large deviations for velocity- jump processes and non-local Hamilton-Jacobi equations, preprint (2016).
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  • V. Calvez, and T. Gallouët, Blow-up phenomena for gradient flows of discrete homogeneous functionals, preprint (2016).
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  • V. Calvez, P. Gabriel and S. Gaubert, Non-linear eigenvalue problems arising from growth maximization of positive linear dynamical systems, preprint (2014).
    preprint pdf
  • V. Calvez, P. Gabriel, Optimal growth for linear processes with affine control, preprint (2012).
    preprint pdf
  • 2016

  • N. Muller, M. Piel, V. Calvez, R. Voituriëz, J. Gonçalves-Sa, C.L. Guo, X. Jiang, A. Murray, and N. Meunier, A Predictive Model for Yeast Cell Polarization in Pheromone Gradients, PLOS Comput Biol (2016).

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  • V. Calvez, and T. Gallouët, Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up, DCDS-A (2016).
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  • 2015

  • E. Bouin, V. Calvez, and G. Nadin, Propagation in a Kinetic Reaction-Transport Equation: Travelling Waves And Accelerating Fronts, Archive for Rational Mechanics and Analysis (2015).
    preprint pdf
  • V. Calvez, G. Raoul and Ch. Schmeiser, Confinement by biased velocity jumps: aggregation of E. coli, Kinetic and Related Models (2015)
    preprint pdf
  • 2014

  • E. Bouin, and V. Calvez, Travelling waves for the cane toads equation with bounded traits, Nonlinearity (2014).
    preprint pdf
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  • E. Bouin, V. Calvez and G. Nadin, Hyperbolic traveling waves driven by growth, Math. Models Methods Appl. Sci. (2014).
    preprint pdf
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  • 2013

  • R.H. Khonsari, J. Olivier, P. Vigneaux, S. Sanchez, P. Tafforeau, P. Ahlberg, F. Di Rocco, D. Bresch, P. Corre, A. Ohazama, P. Sharpe, and V. Calvez, A mathematical model for mechanotransduction at the early steps of suture formation, Proceedings of the Royal Society B: Biological Sciences 280 (2013).
    preprint pdf
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  • V. Calvez and L. Corrias, Blow-up dynamics of self-attracting diffusive particles driven by competing convexities, Discrete Contin. Dyn. Syst. Ser. B 18 (2013).
    preprint pdf
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  • F. Lignet, V. Calvez, E. Grenier, and B. Ribba, A structural model of the VEGF signalling pathway: emergence of robustness and redundancy properties, Math. Biosci. Eng. 10 (2013).
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  • 2012

  • E. Bouin, V. Calvez, N. Meunier, S. Mirrahimi, B. Perthame, G. Raoul, R. Voituriez, Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration, C. R. Math. Acad. Sci. Paris 350 (2012).
    preprint pdf
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  • O. B\'enichou, V. Calvez, N. Meunier, and R. Voituriez, Front acceleration by dynamic selection in Fisher population waves, Phys Rev E 86 (2012).
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  • E. Bouin, V. Calvez, A kinetic eikonal equation, C. R. Math. Acad. Sci. Paris (2012).
    preprint pdf
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  • V. Calvez, L. Corrias and M.A. Ebde, Blow-up, concentration phenomenon and global existence for the Keller-Segel model in high dimension, Comm. Partial Differential Equations, Comm. Partial Differential Equations 37 (2012).
    preprint pdf
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  • V. Calvez, R.J. Hawkins, N. Meunier and R. Voituriez, Analysis of a non local model for spontaneous cell polarisation, SIAM Journal on Applied Mathematics, SIAM J. Appl. Math. 72 (2012).
    preprint pdf
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  • B. Ribba, G. Kaloshi, M. Peyre, D. Ricard, V. Calvez, M. Tod, B. Cajavec-Bernard, A. Idbaih, D. Psimaras, L. Dainese, J. Pallud, S. Cartalat-Carel, J.Y. Delattre, J. Honnorat, E. Grenier, F. Ducray, "A tumor growth inhibition model for low-grade glioma treated with chemotherapy or radiotherapy", Clin Cancer Res. 18 (2012).
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  • V. Calvez and J.A. Carrillo, Refined Asymptotics for the subcritical Keller-Segel system and Related Functional Inequalities, Proc. Amer. Math. Soc. (2012).
    preprint pdf
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  • V. Calvez, M. Doumic and P. Gabriel, Self-similarity in a General Aggregation-Fragmentation Problem. Application to Fitness Analysis, J. Math. Pures Appl. (2012).
    preprint pdf
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  • 2011

  • J. Saragosti, V. Calvez, N. Bournaveas, B. Perthame, A. Buguin and P. Silberzan, Directional persistence of chemotactic bacteria in a traveling concentration wave, PNAS (2011).
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  • 2010

  • J. Saragosti, V. Calvez, N. Bournaveas, B. Perthame, A. Buguin and P. Silberzan, Mathematical description of bacterial traveling pulses, PLoS Comput. Biol. (2010).
    www (open access)
  • N. Bournaveas and V. Calvez, A review of recent existence and blow-up results for kinetic models of chemotaxis, Can. Appl. Math. Q. (2010).
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  • V. Calvez, N. Meunier and R. Voituriez, A one-dimensional Keller-Segel equation with a drift issued from the boundary, C. R. Math. Acad. Sci. Paris (2010).
    preprint pdf
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  • N. Bournaveas and V. Calvez, The one-dimensional Keller-Segel model with fractional diffusion of cells, Nonlinearity (2010).
    preprint pdf
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  • V. Calvez, N. Lenuzza, M. Doumic, J.-P. Deslys, F. Mouthon and B. Perthame, Prion dynamics with size dependency–strain phenomena, J. Biol. Dyn. (2010).
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  • 2009

  • N. Bournaveas and V. Calvez, Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data, Ann. Inst. H. Poincaré Anal. Non Linéaire (2009).
    preprint pdf
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  • V. Calvez, N. Lenuzza, D. Oelz, J.-P. Deslys, P. Laurent, F. Mouthon and B. Perthame, Size distribution dependence of prion aggregates infectivity, Math. Biosci. (2009).
    13th Bellman Prize (best paper in Mathematical Biosciences over the period 2008-2009)
    preprint pdf
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  • 2008

  • V. Calvez and L. Corrias, The parabolic-parabolic Keller-Segel model in R2, Commun. Math. Sci. (2008).
    preprint pdf
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  • V. Calvez and R.H. Khonsari, Mathematical description of concentric demyelination in the human brain: self-organization models, from Liesegang rings to chemotaxis, Math. Comput. Modelling (2008).
    preprint pdf
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  • N. Bournaveas and V. Calvez, Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables, Kinet. Relat. Models (2008).
    preprint pdf
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  • N. Bournaveas, V. Calvez, S. Gutiérrez and B. Perthame, Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates, Comm. Partial Differential Equations (2008).
    preprint pdf
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  • A. Blanchet, V. Calvez and J.A. Carrillo, Convergence of the mass-transport steepest descent scheme for the subcritical Patlak-Keller-Segel model, SIAM J. Numer. Anal. (2008).
    preprint pdf
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  • 2007

  • R.H. Khonsari and V. Calvez, The Origins of Concentric Demyelination: Self-Organization in the Human Brain, PLoS ONE (2007).
    www (open access)
  • V. Calvez, B. Perthame and M. Sharifi tabar, Modified Keller-Segel system and critical mass for the log interaction kernel. Stochastic analysis and partial differential equations, Contemp. Math., 429, Amer. Math. Soc., Providence, RI, 2007.
    preprint pdf
  • 2006

  • V. Calvez and B. Perthame, A Lyapunov function for a two-chemical species version of the chemotaxis model, BIT (2006).
    preprint pdf
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  • V. Calvez and J.A. Carrillo, Volume effects in the Keller-Segel model: energy estimates preventing blow-up, J. Math. Pures Appl. (2006).
    preprint pdf
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  • 2005

  • V. Calvez, A. Korobeinikov and P.K. Maini, Cluster formation for multi-strain infections with cross-immunity, J. Theoret. Biol. (2005).
    preprint pdf
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  • PhD thesis

    Thesis manuscript (8.5Mo)