F. Baccelli, D. R. Mcdonald, and J. Reynier, A mean-field model for multiple tcp connections through a buffer implementing red. Performance Evaluation, pp.1-477, 2002.
URL : https://hal.archives-ouvertes.fr/inria-00072139

D. Balagué, J. Canizo, and P. Gabriel, Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates, Kinetic and Related Models, vol.6, issue.2
DOI : 10.3934/krm.2013.6.219

H. T. Banks, K. L. Sutton, W. C. Thompson, G. Bocharov, D. Roosec et al., Estimation of Cell Proliferation Dynamics Using CFSE Data, Bulletin of Mathematical Biology, vol.70, issue.12, 2010.
DOI : 10.1007/s11538-010-9524-5

URL : https://hal.archives-ouvertes.fr/hal-00778058

V. Bansaye, Proliferating parasites in dividing cells: Kimmel???s branching model revisited, The Annals of Applied Probability, vol.18, issue.3, pp.967-996, 2008.
DOI : 10.1214/07-AAP465

V. Bansaye, J. Delmas, L. Marsalle, and V. C. Tran, Limit theorems for Markov processes indexed by continuous time Galton???Watson trees, The Annals of Applied Probability, vol.21, issue.6, pp.2263-2314, 2011.
DOI : 10.1214/10-AAP757

URL : https://hal.archives-ouvertes.fr/hal-00431118

P. Baxendale, Renewal theory and computable convergence rates for geometrically ergodic Markov chains. The Annals of Applied Probability, pp.700-738, 2005.

J. Bertoin, Random fragmentation and Coagulation Processes, 2006.
DOI : 10.1017/CBO9780511617768

URL : https://hal.archives-ouvertes.fr/hal-00103015

M. J. Cáceres, J. A. Canizo, and S. Mischler, Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations, Journal de Math??matiques Pures et Appliqu??es, vol.96, issue.4, pp.334-362, 2011.
DOI : 10.1016/j.matpur.2011.01.003

B. Chauvin, A. Rouault, and A. Wakolbinger, Growing conditioned trees, Stochastic Processes and their Applications, vol.39, issue.1, pp.117-130, 1991.
DOI : 10.1016/0304-4149(91)90036-C

B. Cloez, Limit theorems for some branching measure-valued processes
URL : https://hal.archives-ouvertes.fr/hal-00598030

R. Douc, E. Moulines, and M. Rosenthal, Quantitative bounds on convergence of time-inhomogeneous Markov chains, The Annals of Applied Probability, vol.14, issue.4, pp.1643-1665, 2004.
DOI : 10.1214/105051604000000620

M. Doumic and P. Gabriel, Eigenelements of a general aggregationfragmentation model, Math. Models Methods Appl. Sci, vol.20, pp.557-783, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00408088

M. Doumic, M. Hoffmann, P. Reynaud-bouret, and V. Rivoirard, Nonparametric Estimation of the Division Rate of a Size-Structured Population, SIAM Journal on Numerical Analysis, vol.50, issue.2, 2012.
DOI : 10.1137/110828344

URL : https://hal.archives-ouvertes.fr/hal-00578694

M. Doumic, P. Maia, and J. P. Zubelli, On the calibration of a sizestructured population model from experimental data, Acta Biotheoretica, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00412637

M. Doumic, B. Perthame, and J. Zubelli, Numerical solution of an inverse problem in size-structured population dynamics, Inverse Problems, vol.25, issue.4, p.25, 2009.
DOI : 10.1088/0266-5611/25/4/045008

URL : https://hal.archives-ouvertes.fr/hal-00327151

M. Doumic and L. M. Tine, Estimating the division rate for the growthfragmentation equation, Journal of Mathematical Biology, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00634539

H. Engler, J. Pruss, and G. F. Webb, Analysis of a model for the dynamics of prions II, Journal of Mathematical Analysis and Applications, vol.324, issue.1, pp.98-117, 2006.
DOI : 10.1016/j.jmaa.2005.11.021

G. Fort, E. Moulines, and P. Priouret, Convergence of adaptive and interacting Markov chain Monte Carlo algorithms. The Annals of Statistics, pp.3262-3289, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00695649

E. Gobet, M. Hoffmann, and M. Reiß, Nonparametric estimation of scalar diffusion from low frequency data. The Annals of Statistics, pp.2223-2253, 2004.

A. Goldenshluger and O. Lepski, Bandwidth selection in kernel density estimation: Oracle inequalities and adaptive minimax optimality, The Annals of Statistics, vol.39, issue.3, pp.1608-1632, 2011.
DOI : 10.1214/11-AOS883

URL : https://hal.archives-ouvertes.fr/hal-01265258

B. Haas, Loss of mass in deterministic and random fragmentations, Stochastic Processes and their Applications, vol.106, issue.2, pp.245-277, 2003.
DOI : 10.1016/S0304-4149(03)00045-0

URL : https://hal.archives-ouvertes.fr/hal-00103921

S. C. Harris and M. I. Roberts, The many-to-few lemma and multiple spines, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.53, issue.1, 2012.
DOI : 10.1214/15-AIHP714

M. Kaern, C. Timothy, . Elston, J. William, J. J. Blake et al., Stochasticity in gene expression: from theories to phenotypes, Nature Reviews Genetics, vol.8706, issue.6, pp.451-64, 2005.
DOI : 10.1073/pnas.0400673101

H. E. Kubitschek, Growth During the Bacterial Cell Cycle, Biophysical Journal, vol.9, issue.6, pp.792-809, 1969.
DOI : 10.1016/S0006-3495(69)86418-0

P. Laurencot and B. Perthame, Exponential decay for the growth-fragmentation/cell-division equations, Communications in Mathematical Sciences, vol.7, issue.2, pp.503-510, 2009.
DOI : 10.4310/CMS.2009.v7.n2.a12

J. A. Metz and O. Dieckmann, The dynamics of physiologically structured populations, Lecture Notes in Biomathematics, vol.68
DOI : 10.1007/978-3-662-13159-6

S. Meyn and R. Tweedie, Markov chains and stochastic stability, 1993.

P. Michel, EXISTENCE OF A SOLUTION TO THE CELL DIVISION EIGENPROBLEM, Mathematical Models and Methods in Applied Sciences, vol.16, issue.supp01, pp.1125-1153, 2006.
DOI : 10.1142/S0218202506001480

P. Michel, S. Mischler, and B. Perthame, General relative entropy inequality: an illustration on growth models, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.9, pp.1235-1260, 2005.
DOI : 10.1016/j.matpur.2005.04.001

B. Niethammer and R. L. Pego, Non-self-similar behavior in the LSW theory of Ostwald ripening, J. Statist. Phys, vol.95, pp.5-6867, 1999.

K. Pakdaman, B. Perthame, and D. Salort, Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation, The Journal of Mathematical Neuroscience, vol.4, issue.1, p.2012
DOI : 10.1016/j.jmaa.2005.12.036

URL : https://hal.archives-ouvertes.fr/hal-01054561

B. Perthame, Transport equations arising in biology, Frontiers in Mathematics . Birckhauser, 2007.

B. Perthame and L. Ryzhik, Exponential decay for the fragmentation or cell-division equation, Journal of Differential Equations, vol.210, issue.1, pp.155-177, 2005.
DOI : 10.1016/j.jde.2004.10.018

B. Perthame and J. P. Zubelli, On the inverse problem for a size-structured population model, Inverse Problems, vol.23, issue.3, pp.1037-1052, 2007.
DOI : 10.1088/0266-5611/23/3/012

URL : https://hal.archives-ouvertes.fr/hal-00110904

J. Eric, R. Stewart, G. Madden, F. Paul, and . Taddei, Aging and death in an organism that reproduces by morphologically symmetric division, PLoS Biology, vol.3, issue.2, p.45, 2005.

A. Sturm, M. Heinemann, M. Arnoldini, A. Benecke, M. Ackermann et al., The Cost of Virulence: Retarded Growth of Salmonella Typhimurium Cells Expressing Type III Secretion System 1, PLoS Pathogens, vol.4, issue.7, p.10, 2011.
DOI : 10.1371/journal.ppat.1002143.s011

C. Tan, P. Marguet, and L. You, Emergent bistability by a growth-modulating positive feedback circuit, Nature Chemical Biology, vol.179, issue.11, pp.842-848, 2009.
DOI : 10.2144/000112018

P. Wang, L. Robert, J. Pelletier, W. L. Dang, F. Taddei et al., Robust Growth of Escherichia coli, Current Biology, vol.20, issue.12, pp.1099-1103, 2010.
DOI : 10.1016/j.cub.2010.04.045