Papers accepted and published in refereed journals:

E. Terry, J. Marvel, C. Arpin, O. Gandrillon and F. Crauste. Mathematical Model of the primary CD8 T Cell Immune Response: Stability Analysis of a Nonlinear Age-Structured System. Journal of Mathematical Biology (in press).
link to the article

N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova and V. Volpert. Application of Hybrid Models to Blood Cell Production in the Bone Marrow. Math. Model. Nat. Phenom., 6 (7), 2-12 (2011).
link to the article

N. Bessonov, F. Crauste and V. Volpert. Modelling of Plant Growth with Apical or Basal Meristem. Math. Model. Nat. Phenom. (submitted).

P. Kurbatova, S. Bernard, N. Bessonov, F. Crauste, I. Demin, C. Dumontet, S. Fischer and V. Volpert. Hybrid model of erythropoiesis and leukemia treatment with cytosine arabinoside. SIAM J. App. Math. (submitted).

S. Fischer, P. Kurbatova, N. Bessonov, O. Gandrillon, V. Volpert and F. Crauste. Modelling erythroblastic islands: using a hybrid model to assess the function of central macrophage. J. Theo. Biol. (submitted).

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 (submitted).

M. Adimy, F. Crauste and 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).
link to the article

M. Adimy, F. Crauste and 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).
link to the article

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).
link to the book

F. Crauste, I. Demin, O. Gandrillon and V. Volpert. Mathematical study of feedback control roles and relevance in stress erythropoiesis. Journal of Theoretical Biology, 263 (3), 303-316 (2010).
link to the article

M. Adimy, F. Crauste, My L. Hbid and R. Qesmi. Stability and Hopf bifurcation for a cell population model with state-dependent delay. SIAM J. Appl. Math, 70 (5), 1611-1633 (2010).
link to the article

I. Demin, F. Crauste, O. Gandrillon and V. Volpert. A multi-scale model of erythropoiesis. Journal of Biological Dynamics, 4 (1), 59-70 (2010).
link to the article

N. Bessonov, F. Crauste, I. Demin and V. Volpert. Dynamics of erythroid progenitors and erythroleukemia. Mathematical Modeling of Natural Phenomena, 4 (3), 210-232 (2009).
article  link to the article

F. Crauste. Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch. Mathematical Modeling of Natural Phenomena, 4 (2), 28-47 (2009).
link to the article

M. Adimy and F. Crauste. Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulation. Mathematical and Computer Modelling, 49, 2128-2137 (2009).
article  link to the article

F. Crauste, M.L. Hbid and A. Kacha. A delay reaction-diffusion model of the dynamics of botulinum in fish. Mathematical Biosciences, 216, 17-29 (2008).
article  link to the article

M. Adimy, F. Crauste and 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).
link to the article

M. Adimy, S. Bernard, J. Clairambault, F. Crauste, S. Génieys and L. Pujo-Menjouet. Modélisation de la dynamique de l'hématopoïèse normale et pathologique. Hématologie, 14 (5), 339-350 (2008).
link to the article

M. Adimy, O. Angulo, F. Crauste and 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  link to the article

F. Crauste, L. Pujo-Menjouet, S. Génieys, C. Molina and 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  link to the article

M. Adimy and 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  link to the article

M. Adimy, F. Crauste and 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  link to the article

M. Adimy, F. Crauste and 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  link to the article

M. Adimy, F. Crauste and S. Ruan. Periodic Oscillations in Leukopoiesis Models with Two Delays. Journal of Theoretical Biology, 242, 288-299 (2006).
pdf preprint  article  link to the article

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  link to the article

M. Adimy, F. Crauste, A. Halanay, M. Neamţu and 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  link to the article

M. Adimy, F. Crauste and 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  link to the article

M. Adimy, F. Crauste and 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  link to the article 

M. Adimy and 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  link to the article 

M. Adimy, F. Crauste and 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  link to the article 

M. Adimy and 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  link to the article 

M. Adimy and F. Crauste. Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance. Comptes Rendus Mathématiques, 336, 559-564 (2003).
pdf preprint  article  link to the article 

Papers published in conference proceedings:

M. Adimy and 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 

Other articles:

F. Crauste and 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 

Thesis: Mathematical study of hyperbolic partial differential equations modelling blood cells regulation processes - Applications to periodic hematological diseases.   Thesis manuscript (french) 

If you have questions or if you need information, do not hesitate to contact me, by email at or by regular mail at the following address:

   Fabien Crauste
   CNRS UMR5208 Institut Camille Jordan
   Université Claude Bernard Lyon 1
   43 boulevard du 11 novembre 1918
   69622 Villeurbanne cedex, France