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Publications
  1. O. Angulo, F. Crauste, JC Lopez-Marcos. Numerical integration of an erythropoiesis model with explicit growth factor dynamics. Journal of Computational and Applied Mathematics (accepted).
  2. F. Crauste, J. Mafille, L. Boucinha, S. Djebali, O. Gandrillon, J. Marvel, C. Arpin. Identification of nascent Memory CD8 T cells and modeling of their ontogeny. Cell Systems 4(3), 306-317 (2017).
    article
  3. L. Barbarroux, P. Michel, M. Adimy, F. Crauste. Multi-scale modeling of the CD8 immune response. AIP Conference Proceedings 1738 (1), 320002 (2016).
    article
  4. X. Gao, C. Arpin, J. Marvel, S. Prokopiou, O. Gandrillon, F. Crauste. IL-2 sensitivity and exogenous IL-2 concentration gradient tune the productive contact duration of CD8+ T cell-APC: a multiscale modeling study. BMC Systems Biology, 10, 77 (2016).
    article
  5. M. Jacquier, H.A. Soula, F. Crauste. A mathematical model of leptin resistance. Mathematical Biosciences, 267, 10-23 (2015).
    article
  6. S. Bernard, F. Crauste. Optimal linear stability condition for scalar differential equations with distributed delay. Discrete and Continuous Dynamical Systems Series B, 20 (7), 1855-1876 (2015).
    article
  7. F. Crauste, E. Terry, I. Le Mercier, J. Mafi lle, S. Djebali, T. Andrieu, B. Mercier, G. Kaneko, C. Arpin, J. Marvel, O. Gandrillon. Predicting Pathogen-Speci c CD8 T Cell Immune Responses from a Modeling Approach. J. Theor. Biol., 374, 66-82 (2015).
    article
  8. S. Prokopiou, L. Barbarroux, S. Bernard, J. Mafille, Y. Leverrier, C. Arpin, J. Marvel, O. Gandrillon, F. Crauste. Multiscale modeling of the early CD8 T cell immune response in lymph nodes: an integrative study. Computation, 2(4), 159-181 (2014).
    article
  9. M. Jacquier, F. Crauste, Ch. Soulage, H. Soula. A predictive model of the dynamics of body weight and food intake in rats submitted to caloric restrictions. PLoS ONE, 9(6): e100073 (2014).
    article
  10. M. Adimy, F. Crauste. Delay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling. Mathematical Modelling of Natural Phenomena, 7 (6), 1-22 (2012).
    article
  11. E. Terry, J. Marvel, C. Arpin, O. Gandrillon, F. Crauste. Mathematical Model of the primary CD8 T Cell Immune Response: Stability Analysis of a Nonlinear Age-Structured System. Journal of Mathematical Biology, 65, 263-291 (2012).
    article
  12. S. Fischer, P. Kurbatova, N. Bessonov, O. Gandrillon, V. Volpert, F. Crauste. Modelling erythroblastic islands: using a hybrid model to assess the function of central macrophage. J. Theo. Biol., 298, 92-106 (2012).
    article
  13. F. Crauste. Equations aux dérivées partielles structurées en âge et équations à retard : Deux exemples d'applications en biologie MATAPLI, 96, 73-95 (2011).
    article
  14. N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert. Application of Hybrid Models to Blood Cell Production in the Bone Marrow. Math. Model. Nat. Phenom., 6 (7), 2-12 (2011).
    article
  15. N. Bessonov, F. Crauste, V. Volpert. Modelling of Plant Growth with Apical or Basal Meristem. Math. Model. Nat. Phenom., 6 (2), 107-132 (2011).
    article
  16. P. Kurbatova, S. Bernard, N. Bessonov, F. Crauste, I. Demin, C. Dumontet, S. Fischer, V. Volpert. Hybrid model of erythropoiesis and leukemia treatment with cytosine arabinoside. SIAM J. App. Math., 71 (6), 2246-2268 (2011).
    article
  17. F. Crauste. A review on local asymptotic stability analysis for mathematical models of hematopoietic with delay and delay-dependent coefficients. Annals of the Tiberiu Popoviciu Seminar of functionnal equations, approximation and convexity, 9, 121-143 (2011).
    journal
  18. M. Adimy, F. Crauste, A. El Abdllaoui. Boundedness and Lyapunov Function for a Nonlinear System of Hematopoietic Stem Cell Dynamics. Comptes Rendus Mathematique, 348 (7-8), 373-377 (2010).
    article
  19. M. Adimy, F. Crauste, C. Marquet. Asymptotic behavior and stability switch for a mature-immature model of cell differentiation. Nonlinear Analysis: Real World Applications, 11 (4), 2913-2929 (2010).
    article
  20. F. Crauste. Stability and Hopf bifurcation for a first-order linear delay differential equation with distributed delay, in Complex Time Delay Systems (Ed. F. Atay), Springer, 1st edition, 320 p., ISBN: 978-3-642-02328-6 (2010).
    book
  21. F. Crauste, I. Demin, O. Gandrillon, V. Volpert. Mathematical study of feedback control roles and relevance in stress erythropoiesis. Journal of Theoretical Biology, 263 (3), 303-316 (2010).
    article
  22. M. Adimy, F. Crauste, My L. Hbid, R. Qesmi. Stability and Hopf bifurcation for a cell population model with state-dependent delay. SIAM J. Appl. Math, 70 (5), 1611-1633 (2010).
    article
  23. I. Demin, F. Crauste, O. Gandrillon, V. Volpert. A multi-scale model of erythropoiesis. Journal of Biological Dynamics, 4 (1), 59-70 (2010).
    article
  24. N. Bessonov, F. Crauste, I. Demin, V. Volpert. Dynamics of erythroid progenitors and erythroleukemia. Mathematical Modeling of Natural Phenomena, 4 (3), 210-232 (2009).
    article  article
  25. F. Crauste. Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch. Mathematical Modeling of Natural Phenomena, 4 (2), 28-47 (2009).
    article
  26. M. Adimy, F. Crauste. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation. Mathematical and Computer Modelling, 49, 2128-2137 (2009).
    article  article
  27. F. Crauste, M.L. Hbid, A. Kacha. A delay reaction-diffusion model of the dynamics of botulinum in fish. Mathematical Biosciences, 216, 17-29 (2008).
    article  article
  28. M. Adimy, F. Crauste, A. El Abdllaoui. Discrete maturity-structured model of cell differentiation with applications to acute myelogenous leukemia. Journal of Biological Systems, 16 (3),  395-424 (2008).
    article
  29. M. Adimy, S. Bernard, J. Clairambault, F. Crauste, S. Génieys, L. Pujo-Menjouet. Modélisation de la dynamique de l'hématopoïèse normale, pathologique. Hématologie, 14 (5), 339-350 (2008).
    article
  30. M. Adimy, O. Angulo, F. Crauste, J.C. Lopez-Marcos. Numerical integration of a mathematical model of hematopoietic stem cell dynamics. Computer and Mathematics with Applications, 56, 594-606 (2008).
    article  article
  31. F. Crauste, L. Pujo-Menjouet, S. Génieys, C. Molina, O. Gandrillon. Adding Self-Renewal in Committed Erythroid Progenitors Improves the Biological Relevance of a Mathematical Model of Erythropoiesis. Journal of Theoretical Biology, 250, 322-338 (2008).
    pdf preprint  article  article
  32. M. Adimy, F. Crauste. Modelling and asymptotic stability of  a growth factor-dependent stem cells dynamics model with distributed delay. Discrete and Continuous Dynamical Systems Series B, 8 (1), 19-38 (2007).
    pdf preprint  article  article
  33. M. Adimy, F. Crauste, A. El Abdllaoui. Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cells Dynamics with Several Delays. Mathematical Modelling of Natural Phenomena, Vol 1 (2), 1-22 (2006).
    pdf preprint  article  article
  34. M. Adimy, F. Crauste, S. Ruan. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bulletin of Mathematical Biology, 68 (8), 2321-2351 (2006).
    pdf preprint   article  article
  35. M. Adimy, F. Crauste, S. Ruan. Periodic Oscillations in Leukopoiesis Models with Two Delays. Journal of Theoretical Biology, 242, 288-299 (2006).
    pdf preprint  article  article
  36. F. Crauste. Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model. Mathematical Biosciences and Engineering, 3 (2), 325-346 (2006).
    pdf preprint  article  article
  37. M. Adimy, F. Crauste, A. Halanay, M. Neamţu, D. Opriş. Stability of limit cycles in a pluripotent stem cell dynamics model. Chaos, Solitons and Fractals, 27 (4), 1091-1107 (2006).
    pdf preprint  article  article
  38. M. Adimy, F. Crauste, S. Ruan. A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. SIAM J. Appl. Math., 65 (4), 1328-1352 (2005).
    pdf preprint  article  article
  39. M. Adimy, F. Crauste, S. Ruan. Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Nonlinear Analysis: Real World Applications, 6 (4), 651-670 (2005).
    pdf preprint  article  article
  40. M. Adimy, F. Crauste. Existence, positivity and stability for a nonlinear model of cellular proliferation. Nonlinear Analysis: Real World Applications, 6 (2), 337-366 (2005).
    pdf preprint  article  article
  41. M. Adimy, F. Crauste, L. Pujo-Menjouet. On the stability of a maturity structured model of cellular proliferation. Dis. Cont. Dyn. Sys. Ser. A, 12 (3), 501-522 (2005).
    pdf preprint  article  article
  42. F. Crauste, M. Adimy. Bifurcation dans un modèle non-linéaire de production du sang. Comptes-rendus de la 7ième Rencontre du Non-Linéaire, Non-Linéaire Publications, Paris, 73-78 (2004).
    article
  43. M. Adimy, F. Crauste. Stability and instability induced by time delay in an erythropoiesis model. Monografias del Seminario Matematico Garcia de Galdeano, 31, 3-12 (2004).
    pdf preprint  article
  44. M. Adimy, F. Crauste. Global stability of a partial differential equation with distributed delay due to cellular replication. Nonlinear Analysis, 54 (8), 1469-1491 (2003).
    pdf preprint  article  article
  45. M. Adimy, F. Crauste. Un modèle non-linéaire de prolifération cellulaire : extinction des cellules, invariance. Comptes Rendus Mathématiques, 336, 559-564 (2003).
    pdf preprint  article  article

Thèse de doctorat : Étude mathématique d'équations aux dérivées partielles hyperboliques modélisant les processus de régulation des cellules sanguines - Applications aux maladies hématologiques cycliques.    Manuscrit de thèse