S. Adimurthi, G. D. Mishra, and . Gowda, OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS, Journal of Hyperbolic Differential Equations, vol.02, issue.04, pp.783-837, 2005.
DOI : 10.1142/S0219891605000622

M. Adimy, F. Crauste, and S. Ruan, A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia, SIAM Journal on Applied Mathematics, vol.65, issue.4, pp.1328-1352, 2005.
DOI : 10.1137/040604698
URL : https://hal.archives-ouvertes.fr/hal-00375977

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutì-ere et al., Relaxation methods and coupling procedures, International Journal for Numerical Methods in Fluids, vol.71, issue.8, pp.561123-1129, 2008.
DOI : 10.1002/fld.1680

E. Audusse and B. Perthame, Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies, Proc. Roy. Soc. Edinburgh Sect. A, pp.253-265, 2005.

B. Aymard, F. Clément, F. Coquel, and M. Postel, Numerical simulation of the selection process of the ovarian follicles, ESAIM: Proceedings, vol.38, 2012.
DOI : 10.1051/proc/201238006
URL : https://hal.archives-ouvertes.fr/hal-00656382

F. Bouchut and F. James, One-dimensional transport equations with discontinuous coefficients, Nonlinear Analysis: Theory, Methods & Applications, vol.32, issue.7, pp.891-933, 1998.
DOI : 10.1016/S0362-546X(97)00536-1

B. Boutin, F. Coquel, and L. P. , Coupling Techniques for Nonlinear Hyperbolic Equations. III. The Well-Balanced Approximation of Thick Interfaces, SIAM Journal on Numerical Analysis, vol.51, issue.2, 2012.
DOI : 10.1137/120865768
URL : https://hal.archives-ouvertes.fr/hal-00564176

R. Bürger and K. H. Karlsen, Conservation laws with discontinuous flux: a short introduction, Journal of Engineering Mathematics, vol.175, issue.3-4, pp.3-4241, 2008.
DOI : 10.1007/s10665-008-9213-7

R. Bürger, K. H. Karlsen, and N. H. Risebro, A relaxation scheme forcontinuous sedimentation in ideal clarifier-thickener units, Computers & Mathematics with Applications, vol.50, issue.7, pp.993-1009, 2005.
DOI : 10.1016/j.camwa.2005.08.019

R. Bürger, K. H. Karlsen, and J. D. Towers, A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions, Hyperbolic problems: theory, numerics and applications, pp.455-464
DOI : 10.1090/psapm/067.2/2605241

G. Chen, N. Even, and C. Klingenberg, Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems, Journal of Differential Equations, vol.245, issue.11, pp.2453095-3126, 2008.
DOI : 10.1016/j.jde.2008.07.036

N. Echenim, Modélisation et contrôle multi-´ echelles du processus de sélection des follicules ovulatoires, 2006.

N. Echenim, D. Monniaux, M. Sorine, and F. Clément, Multi-scale modeling of the follicle selection process in the ovary, Mathematical Biosciences, vol.198, issue.1, pp.57-79, 2005.
DOI : 10.1016/j.mbs.2005.05.003
URL : https://hal.archives-ouvertes.fr/inria-00343961

E. Godlewski and P. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case, Numerische Mathematik, vol.97, issue.1, pp.81-130, 2004.
DOI : 10.1007/s00211-002-0438-5

S. Gottlieb and C. W. Shu, Total variation diminishing Runge-Kutta schemes, Mathematics of Computation of the American Mathematical Society, vol.67, issue.221, pp.73-85, 1998.
DOI : 10.1090/S0025-5718-98-00913-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.105.4521

B. Koren, A robust upwind discretisation method for advection, diffusion and source terms, Numerical Methods for Advection-Diffusion Problems, p.117, 1993.

S. N. Kru?kov, FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES, Mathematics of the USSR-Sbornik, vol.10, issue.2, pp.228-255, 1970.
DOI : 10.1070/SM1970v010n02ABEH002156

B. Perthame, Transport Equations in Biology, 2007.

N. Seguin and J. Vovelle, ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS, Mathematical Models and Methods in Applied Sciences, vol.13, issue.02, pp.221-257, 2003.
DOI : 10.1142/S0218202503002477
URL : https://hal.archives-ouvertes.fr/hal-01376535

P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations, Journal of Mathematical Analysis and Applications, vol.401, issue.2, 1010.
DOI : 10.1016/j.jmaa.2013.01.001
URL : https://hal.archives-ouvertes.fr/hal-00841184

P. K. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.21, issue.5, pp.995-1011, 1984.
DOI : 10.1137/0721062

J. J. Tyson and B. Novak, Temporal Organization of the Cell Cycle, Current Biology, vol.18, issue.17, pp.759-768, 2008.
DOI : 10.1016/j.cub.2008.07.001