A. Amir, Cell Size Regulation in Bacteria, Physical Review Letters, vol.112, issue.20, p.208102, 2014.
DOI : 10.1103/PhysRevLett.112.208102

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

F. Billy, J. Clairambault, O. Fercoq, S. Gaubertt, T. Lepoutre et al., Synchronisation and control of proliferation in cycling cell population models with age structure, Mathematics and Computers in Simulation, vol.96, pp.96-66, 2014.
DOI : 10.1016/j.matcom.2012.03.005

URL : https://hal.archives-ouvertes.fr/hal-00662885

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2010.
DOI : 10.1007/978-0-387-70914-7

V. Calvez, M. Doumic, and P. Gabriel, Self-similarity in a general aggregation???fragmentation problem. Application to fitness analysis, Journal de Math??matiques Pures et Appliqu??es, vol.98, issue.1, pp.98-99, 2012.
DOI : 10.1016/j.matpur.2012.01.004

URL : https://hal.archives-ouvertes.fr/hal-00539279

F. Campillo, N. Champagnat, and C. Fritsch, On the variations of the principal eigenvalue and the probability of survival with respect to a parameter in growth-fragmentation-death models, pp.1254053-1254055, 2016.

J. Clairambault, P. Michel, and B. Perthame, Circadian rhythm and tumour growth, Comptes Rendus Mathematique de l'Académie des Sciences Paris, pp.342-359, 2006.
DOI : 10.1016/j.crma.2005.10.029

URL : https://hal.archives-ouvertes.fr/hal-00113511

B. Cloez, Limit theorems for some branching measure-valued processes, p.598030, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00598030

R. Dautray and J. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Spectral Theory and Applications, Chapter VIII, 1990.
DOI : 10.1063/1.2810363

M. Doumic, Analysis of a Population Model Structured by the Cells Molecular Content, Mathematical Modelling of Natural Phenomena, vol.2, issue.3, pp.121-152, 2007.
DOI : 10.1051/mmnp:2007006

URL : https://hal.archives-ouvertes.fr/hal-00327131

M. Doumic and P. Gabriel, EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL, Mathematical Models and Methods in Applied Sciences, vol.20, issue.05, pp.757-783, 2010.
DOI : 10.1142/S021820251000443X

URL : https://hal.archives-ouvertes.fr/hal-00408088

M. Doumic, M. Hoffmann, N. Krell, and L. Robert, Statistical estimation of a growth-fragmentation model observed on a genealogical tree, Bernoulli, vol.21, issue.3, pp.1760-1799, 2015.
DOI : 10.3150/14-BEJ623

URL : https://hal.archives-ouvertes.fr/hal-01102799

S. Gaubert and T. Lepoutre, Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model, Journal of Mathematical Biology, vol.146, issue.3, pp.1-41, 2015.
DOI : 10.1007/s00285-015-0874-3

URL : https://hal.archives-ouvertes.fr/hal-00773211

J. Guyon, Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging, The Annals of Applied Probability, vol.17, issue.5/6, pp.1538-1569, 2007.
DOI : 10.1214/105051607000000195

D. J. Kiviet, P. Nghe, N. Walker, S. Boulineau, V. Sunderlikova et al., Stochasticity of metabolism and growth at the single-cell level, Nature, vol.108, issue.7522, pp.514-376, 2014.
DOI : 10.1038/nature13582

J. L. Lebowitz and S. I. Rubinow, A theory for the age and generation time distribution of a microbial population, Journal of Mathematical Biology, vol.70, issue.1, pp.17-36, 1974.
DOI : 10.1007/BF02339486

A. G. Marr, R. J. Harvey, and W. C. Trentini, Growth and division of Escherichia coli, Journal of Bacteriology, pp.91-2388, 1966.

J. A. Metz and O. Diekmann, Formulating Models for Structured Populations, The dynamics of physiologically structured populations, pp.78-135, 1983.
DOI : 10.1007/978-3-662-13159-6_3

P. Michel, Optimal Proliferation Rate in a Cell Division Model, Mathematical Modelling of Natural Phenomena, vol.1, issue.2, pp.23-44, 2006.
DOI : 10.1051/mmnp:2008002

S. Mischler, B. Perthame, and L. Ryzhik, STABILITY IN A NONLINEAR POPULATION MATURATION MODEL, Mathematical Models and Methods in Applied Sciences, vol.12, issue.12, pp.1751-1772, 2002.
DOI : 10.1142/S021820250200232X

S. Mischler and J. Scher, Spectral analysis of semigroups and growth-fragmentation equations, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 2013.
DOI : 10.1016/j.anihpc.2015.01.007

URL : https://hal.archives-ouvertes.fr/hal-00877870

A. Olivier, Statistical analysis of growth-fragmentation models, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01235239

M. Osella, E. Nugent, and M. C. Lagomarsino, Concerted control of Escherichia coli cell division, pp.3431-3435, 2014.

B. Perthame, Transport Equations Arising In Biology'. Birckhäuser Frontiers in mathematics edition, 2007.

L. Robert, M. Hoffmann, N. Krell, S. Aymerich, J. Robert et al., Division control in Escherichia Coli is based on a size-sensing rather than a timing mechanism, BMC Biology, p.12, 2014.

M. Rotenberg, Transport theory for growing cell populations, Journal of Theoretical Biology, vol.103, issue.2, pp.181-199, 1983.
DOI : 10.1016/0022-5193(83)90024-3

I. Soifer, L. Robert, N. Barkai, and A. Amir, Single-Cell Analysis of Growth in Budding Yeast and Bacteria Reveals a Common Size Regulation Strategy, Current Biology, vol.26, issue.3, p.14104771, 2014.
DOI : 10.1016/j.cub.2015.11.067

S. Rubinov, Age-Structured Equations in the Theory of Cell Populations, Studies in Mathematical Biology II, 1978.

S. Taheri-araghi, S. Bradde, J. T. Sauls, N. S. Hill, P. A. Levin et al., Cell-Size Control and Homeostasis in Bacteria, Current Biology, vol.25, issue.3, p.25, 2015.
DOI : 10.1016/j.cub.2014.12.009

URL : http://doi.org/10.1016/j.cub.2014.12.009