A. Mocroft, H. Furrer, J. Miro, P. Reiss, C. Mussini et al., The Incidence of AIDS-Defining Illnesses at a Current CD4 Count >=200 Cells/??L in the Post-Combination Antiretroviral Therapy Era, Clinical Infectious Diseases, vol.57, issue.7, pp.1038-1085, 2013.
DOI : 10.1093/cid/cit423

C. Lewden, G. Chene, P. Morlat, F. Raffi, M. Dupon et al., HIV-infected adults with a CD4 cell count greater than 500 cells/mm3 on long-term combination antiretroviral therapy reach same mortality rates as the general population, J Acquir Immune Defic Syndr, vol.46, pp.72-77, 2007.
URL : https://hal.archives-ouvertes.fr/inserm-00170726

J. Young, M. Psichogiou, L. Meyer, S. Ayayi, S. Grabar et al., CD4 cell count and the risk of AIDS or death in HIV-Infected adults on combination antiretroviral therapy with a suppressed viral load: a longitudinal cohort study from COHERE, Plos Med, vol.9, p.1001194, 2012.

R. Gilson, S. Man, A. Copas, A. Rider, S. Forsyth et al., Discordant responses on starting highly active antiretroviral therapy: suboptimal CD4 increases despite early viral suppression in the UK Collaborative HIV Cohort (UK CHIC) Study, HIV Medicine, vol.11, issue.2, pp.152-60, 2010.
DOI : 10.1111/j.1468-1293.2009.00755.x

O. Connor, J. Smith, C. Lampe, F. Hill, T. Gompels et al., Failure to achieve a CD4+ cell count response on combination antiretroviral therapy despite consistent viral load suppression, AIDS, vol.28, pp.919-943, 2014.

A. Mocroft, J. Lundgren, M. Sabin, A. Monforte, . Arminio et al., Risk Factors and Outcomes for Late Presentation for HIV-Positive Persons in Europe: Results from the Collaboration of Observational HIV Epidemiological Research Europe Study (COHERE), PLoS Medicine, vol.160, issue.1, p.1001510, 2013.
DOI : 10.1371/journal.pmed.1001510.s005

G. Pantaleo and Y. Lévy, Vaccine and immunotherapeutic interventions, Current Opinion in HIV and AIDS, vol.8, issue.3, pp.236-278, 2013.
DOI : 10.1097/COH.0b013e32835fd5cd

I. Sereti, R. Dunham, J. Spritzler, E. Aga, M. Proschan et al., IL-7 administration drives T cell-cycle entry and expansion in HIV-1 infection, Blood, vol.113, issue.25, pp.6304-6314, 2009.
DOI : 10.1182/blood-2008-10-186601

Y. Levy, C. Lacabaratz, L. Weiss, J. Viard, C. Goujard et al., Enhanced T cell recovery in HIV-1???infected adults through IL-7 treatment, Journal of Clinical Investigation, vol.119, pp.997-1007, 2009.
DOI : 10.1172/JCI38052
URL : https://hal.archives-ouvertes.fr/inserm-00484803

Y. Levy, I. Sereti, G. Tambussi, J. Routy, J. Lelievre et al., Effects of Recombinant Human Interleukin 7 on T-Cell Recovery and Thymic Output in HIV-Infected Patients Receiving Antiretroviral Therapy: Results of a Phase I/IIa Randomized, Placebo-Controlled, Multicenter Study, Clinical Infectious Diseases, vol.55, issue.2, pp.291-300, 2012.
DOI : 10.1093/cid/cis383

R. Thiebaut, J. Drylewicz, C. Lacabaratz, R. Sekaly, and M. Lederman, Quantifying and Predicting the Effect of Exogenous Interleukin-7 on CD4+T Cells in HIV-1 Infection, PLoS Computational Biology, vol.84, issue.5, 2014.
DOI : 10.1371/journal.pcbi.1003630.s011
URL : https://hal.archives-ouvertes.fr/hal-01108204

I. Sereti, J. Estes, W. Thompson, D. Morcock, M. Fischl et al., Decreases in Colonic and Systemic Inflammation in Chronic HIV Infection after IL-7 Administration, Colonic and Systemic Inflammation in Chronic HIV Infection after IL-7 Administration, p.1003890, 2014.
DOI : 10.1371/journal.ppat.1003890.s008

V. Avettand-fènoël, M. Chaix, S. Blanche, M. Burgard, C. Floch et al., LTR real-time PCR for HIV-1 DNA quantitation in blood cells for early diagnosis in infants born to seropositive mothers treated in HAART area (ANRS CO 01), J Med Virol, vol.81, pp.217-240, 2009.

V. Rondeau, Y. Mazroui, and J. Gonzalez, FRAILTYPACK: An R package for the analysis of correlated survival data with frailty models using the penalized likelihood estimation, J Stat Softw, vol.VV, pp.1-26, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00717543

N. Chomont, M. El-far, P. Ancuta, L. Trautmann, F. Procopio et al., HIV reservoir size and persistence are driven by T cell survival and homeostatic proliferation, Nature Medicine, vol.45, issue.8, pp.893-92, 2009.
DOI : 10.1038/nm.1972

S. Beq, M. Rannou, A. Fontanet, J. Delfraissy, J. Thèze et al., HIV infection, AIDS, vol.18, issue.3, pp.563-565, 2004.
DOI : 10.1097/00002030-200402200-00025
URL : https://hal.archives-ouvertes.fr/hal-01108204

D. Commenges, H. Jacqmin-gadda, C. Proust, and J. Guedj, A newton-like algorithm for likelihood maximization: The robust-variance scoring algorithm. arXiv preprint math, 2006.

D. Commenges, P. Joly, G. Anne, and B. Liquet, Choice between Semi-parametric Estimators of Markov and Non-Markov Multi-state Models from Coarsened Observations, Scandinavian Journal of Statistics, vol.11, issue.1, pp.33-52, 2007.
DOI : 10.1214/aos/1013203457
URL : https://hal.archives-ouvertes.fr/hal-00194275

D. Commenges, A. Sayyareh, L. Letenneur, J. Guedj, and A. Bar-hen, Estimating a difference of Kullback???Leibler risks using a normalized difference of AIC, The Annals of Applied Statistics, pp.1123-1142, 2008.
DOI : 10.1214/08-AOAS176
URL : https://hal.archives-ouvertes.fr/inserm-00285864

D. Commenges, C. Proust-lima, C. Samieri, and B. Liquet, Abstract, The International Journal of Biostatistics, vol.11, issue.1, pp.51-67, 2015.
DOI : 10.1515/ijb-2015-0004

J. Drylewicz, D. Commenges, and R. Thiebaut, Maximum a Posteriori Estimation in Dynamical Models of Primary HIV Infection, Statistical Communications in Infectious Diseases, vol.4, issue.1, 2012.
DOI : 10.1515/1948-4690.1040

T. J. Fry and C. L. Mackall, Interleukin-7: from bench to clinic, Blood, vol.99, issue.11, pp.3892-3904, 2002.
DOI : 10.1182/blood.V99.11.3892

A. Genz and B. Keister, Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight, Journal of Computational and Applied Mathematics, vol.71, issue.2, pp.299-309, 1996.
DOI : 10.1016/0377-0427(95)00232-4

J. Guedj, R. Thiébaut, and D. Commenges, Maximum Likelihood Estimation in Dynamical Models of HIV, Biometrics, vol.55, issue.4, pp.1198-1206, 2007.
DOI : 10.1111/j.1541-0420.2007.00812.x
URL : https://hal.archives-ouvertes.fr/inserm-00204269

J. Guedj, R. Thiébaut, and D. Commenges, Practical Identifiability of HIV Dynamics Models, Bulletin of Mathematical Biology, vol.48, issue.8, pp.2493-2513, 2007.
DOI : 10.1007/s11538-007-9228-7
URL : https://hal.archives-ouvertes.fr/inserm-00204273

D. D. Ho, A. U. Neumann, A. S. Perelson, W. Chen, J. M. Leonard et al., Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection, Nature, vol.176, issue.6510, pp.123-126, 1995.
DOI : 10.1038/373123a0

R. M. Kondrack, J. Harbertson, J. T. Tan, M. E. Mcbreen, C. D. Surh et al., Interleukin 7 regulates the survival and generation of memory CD4 cells. The Journal of experimental medicine, pp.1797-1806, 0198.

S. Konishi and G. Kitagawa, Information criteria and statistical modeling, 2008.
DOI : 10.1007/978-0-387-71887-3

E. Kuhn and M. Lavielle, Maximum likelihood estimation in nonlinear mixed effects models, Computational Statistics & Data Analysis, vol.49, issue.4, pp.1020-1038, 2005.
DOI : 10.1016/j.csda.2004.07.002

C. L. Mackall, T. J. Fry, and R. E. Gress, Harnessing the biology of IL-7 for therapeutic application, Nature Reviews Immunology, vol.44, issue.5, pp.330-342, 2011.
DOI : 10.1038/nri2970

C. L. Mackall, T. J. Fry, C. Bare, P. Morgan, A. Galbraith et al., IL-7 increases both thymic-dependent and thymic-independent T-cell regeneration after bone marrow transplantation, Blood, vol.97, issue.5, pp.1491-1497, 2001.
DOI : 10.1182/blood.V97.5.1491

A. Namen, A. Schmierer, C. March, R. Overell, L. Park et al., B cell precursor growth-promoting activity. Purification and characterization of a growth factor active on lymphocyte precursors, Journal of Experimental Medicine, vol.167, issue.3, pp.988-1002, 1988.
DOI : 10.1084/jem.167.3.988

Y. Okamoto, D. C. Douek, R. D. Mcfarland, and R. A. Koup, Effects of exogenous interleukin-7 on human thymus function, Blood, vol.99, issue.8, pp.2851-2858, 2002.
DOI : 10.1182/blood.V99.8.2851

A. S. Perelson, A. U. Neumann, M. Markowitz, J. M. Leonard, and D. D. Ho, HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time, Science, vol.271, issue.5255, pp.1582-1586, 1996.
DOI : 10.1126/science.271.5255.1582

J. C. Pinheiro and D. M. Bates, Mixed-effects models in S and S-PLUS, 2000.
DOI : 10.1007/978-1-4419-0318-1

M. Prague, D. Commenges, J. Drylewicz, and R. Thiébaut, Treatment Monitoring of HIV-Infected Patients based on Mechanistic Models, Biometrics, vol.14, issue.3, pp.902-911, 2012.
DOI : 10.1111/j.1541-0420.2012.01749.x
URL : https://hal.archives-ouvertes.fr/hal-01096963

J. O. Ramsay, G. Hooker, D. Campbell, and J. Cao, Parameter estimation for differential equations: a generalized smoothing approach, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.284, issue.5, pp.741-796, 2007.
DOI : 10.1111/j.1467-9868.2007.00610.x

H. Rue, S. Martino, and N. Chopin, Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations, Journal of the royal statistical society: Series b (statistical methodology, pp.319-392, 2009.
DOI : 10.1111/j.1467-9868.2008.00700.x

B. Seddon, P. Tomlinson, and R. Zamoyska, Interleukin 7 and T cell receptor signals regulate homeostasis of CD4 memory cells, Nature Immunology, vol.4, issue.7, pp.680-686, 2003.
DOI : 10.1038/ni946

I. Sereti, R. M. Dunham, J. Spritzler, E. Aga, M. A. Proschan et al., IL-7 administration drives T cell-cycle entry and expansion in HIV-1 infection, Blood, vol.113, issue.25, pp.6304-6314, 2009.
DOI : 10.1182/blood-2008-10-186601

I. Sereti, J. D. Estes, W. L. Thompson, D. R. Morcock, M. A. Fischl et al., Decreases in Colonic and Systemic Inflammation in Chronic HIV Infection after IL-7 Administration, PLoS Pathogens, vol.41, issue.1, p.1003890, 2014.
DOI : 10.1371/journal.ppat.1003890.s008

C. Sportès, F. T. Hakim, S. A. Memon, H. Zhang, K. S. Chua et al., Administration of rhIL-7 in humans increases in vivo TCR repertoire diversity by preferential expansion of naive T cell subsets, The Journal of Experimental Medicine, vol.153, issue.7, pp.1701-1714, 2008.
DOI : 10.1016/0198-8859(96)00076-6

A. W. Van-der-vaart, Asymptotic statistics 3, 2000.
DOI : 10.1017/CBO9780511802256

M. Vieira, D. Soares, N. J. Borthwick, M. K. Maini, G. Janossy et al., IL-7-dependent extrathymic expansion of CD45RA+ T cells enables preservation of a naive repertoire, The Journal of Immunology, vol.161, pp.5909-5917, 1998.

M. Battegay, R. Nüesch, B. Hirschel, R. Gilbert, and . Kaufmann, Immunological recovery and antiretroviral therapy in hiv-1 infection. The Lancet infectious diseases, pp.280-287, 2006.

C. Bazzoli, V. Jullien, C. L. Tiec, E. Rey, F. Mentré et al., Intracellular Pharmacokinetics of Antiretroviral Drugs in HIV-Infected Patients, and their Correlation with Drug Action, Clinical Pharmacokinetics, vol.41, issue.11, pp.17-45, 2010.
DOI : 10.2165/11318110-000000000-00000
URL : https://hal.archives-ouvertes.fr/inserm-00461125

S. Beq, J. Delfraissy, and J. Theze, Interleukin-7 (il- 7): immune function, involvement in the pathogenesis of hiv infection and therapeutic potential, European cytokine network, vol.15, issue.4, pp.279-289, 2004.

M. Berard, F. David, and . Tough, Qualitative differences between naive and memory T cells, Immunology, vol.163, issue.2, pp.127-138, 2002.
DOI : 10.1084/jem.194.12.1711

R. Bologna-molina, A. Mosqueda-taylor, N. Molina-frechero, A. D. Mori-estevez, and G. Sánchez-acuña, Comparison of the value of PCNA and Ki-67 as markers of cell proliferation in ameloblastic tumors, Medicina Oral Patolog??a Oral y Cirugia Bucal, vol.18, issue.2, p.174, 2013.
DOI : 10.4317/medoral.18573

W. John-boscardin, M. Jeremy, N. Taylor, and . Law, Longitudinal models for AIDS marker data, Statistical Methods in Medical Research, vol.7, issue.1, pp.13-27, 1998.
DOI : 10.1191/096228098674392113

O. Boyman and J. Sprent, The role of interleukin-2 during homeostasis and activation of the immune system, Nature Reviews Immunology, vol.108, issue.3, pp.180-190, 2012.
DOI : 10.1038/nri3156

I. Brook, Approval of Zidovudine (AZT) for Acquired Immunodeficiency Syndrome, JAMA, vol.258, issue.11, pp.1517-1517, 1987.
DOI : 10.1001/jama.1987.03400110099035

T. Omobolaji, . Campbell-yesufu, T. Rajesh, and . Gandhi, Update on human immunodeficiency virus (hiv)-2 infection, Clinical infectious diseases, vol.52, issue.6, pp.780-787, 2011.

A. Carr, S. Vella, D. Menno, F. De-jong, A. Sorice et al., Dutch-Italian-Australian Nevirapine Study Group, et al. A controlled trial of nevirapine plus zidovudine versus zidovudine alone in p24 antigenaemic hiv-infected patients, Aids, issue.6, pp.10635-642, 1996.

G. Chêne, Prognostic importance of initial response in hiv-1 infected patients starting potent antiretroviral therapy: analysis of prospective studies. The Lancet, pp.679-686, 2003.

N. Chomont, M. El-far, P. Ancuta, L. Trautmann, A. Francesco et al., HIV reservoir size and persistence are driven by T cell survival and homeostatic proliferation, Nature Medicine, vol.45, issue.8, pp.15893-900, 2009.
DOI : 10.1038/nm.1972

T. Chun, D. Engel, S. B. Mizell, C. W. Hallahan, M. Fischette et al., Effect of interleukin-2 on the pool of latently infected, resting cd4+ t cells in hiv-1-infected patients receiving highly active antiretroviral therapy, Nature Medicine, vol.5, issue.6, pp.651-655, 1999.
DOI : 10.1038/9498

S. Myron, . Cohen, Q. Ying, M. Chen, T. Mccauley et al., Prevention of hiv-1 infection with early antiretroviral therapy, New England journal of medicine, issue.6, pp.365493-505, 2011.

C. Ann, . Collier, W. Robert, . Coombs, A. David et al., Treatment of human immunodeficiency virus infection with saquinavir, zidovudine, and zalcitabine, New England Journal of Medicine, issue.16, pp.3341011-1018, 1996.

D. Commenges, H. Jacqmin-gadda, C. Proust, and J. Guedj, A newton-like algorithm for likelihood maximization: The robust-variance scoring algorithm. arXiv preprint math, 2006.

D. Commenges, L. Sayyareh, J. Letenneur, and . Guedj, Estimating a difference of Kullback???Leibler risks using a normalized difference of AIC, The Annals of Applied Statistics, vol.2, issue.3, pp.1123-1142, 2008.
DOI : 10.1214/08-AOAS176
URL : https://hal.archives-ouvertes.fr/inserm-00285864

D. Commenges, C. Proust-lima, C. Samieri, and B. Liquet, A universal approximate cross-validation criterion for regular risk functions. The international journal of biostatistics, pp.51-67, 2015.

A. David, . Cooper, M. Jose, S. Gatell, N. Kroon et al., Zidovudine in persons with asymptomatic hiv infection and cd4+ cell counts greater than 400 per cubic millimeter, New England Journal of Medicine, vol.329, issue.5, pp.297-303, 1993.

G. Angus, . Dalgleish, C. Peter, . Beverley, R. Paul et al., The cd4 (t4) antigen is an essential component of the receptor for the aids retrovirus, Nature, 1984.

A. Sven, A. Danner, . Carr, M. John, . Leonard et al., A short-term study of the safety, pharmacokinetics, and efficacy of ritonavir, an inhibitor of hiv-1 protease, New England Journal of Medicine, issue.23, pp.3331528-1534, 1995.

T. Richard, . Aquila, D. Michael, . Hughes, A. Victoria et al., Nevirapine, zidovudine, and didanosine compared with zidovudine and didanosine in patients with hiv-1 infection. a randomized , double-blind, placebo-controlled trial. national institute of allergy and infectious diseases aids clinical trials group protocol 241 investigators, Annals of internal medicine, issue.12, pp.1241019-1030, 1996.

J. Darbyshire and D. C. Committee, Delta: a randomised double-blind controlled trial comparing combinations of zidovudine plus didanosine or zalcitabine with zidovudine alone in HIV-infected individuals, The Lancet, vol.348, issue.9023, pp.283-291, 1996.
DOI : 10.1016/S0140-6736(96)05387-1

. Sander-de-kivit, J. Ludwijn, J. Lempsink, J. Plants, A. Martinson et al., Modulation of TIM-3 expression on NK and T cell subsets in HIV immunological non-responders, Clinical Immunology, vol.156, issue.1, pp.28-35, 2015.
DOI : 10.1016/j.clim.2014.10.009

I. Blandine-de-saint-vis, C. Fugier-vivier, C. Massacrier, B. Gaillard, S. Vanbervliet et al., The cytokine profile expressed by human dendritic cells is dependent on cell subtype and mode of activation, The Journal of Immunology, vol.160, issue.4, pp.1666-1676, 1998.

A. Adam, D. , and H. Wu, Assessing antiviral potency of anti-hiv therapies in vivo by comparing viral decay rates in viral dynamic models, Biostatistics, vol.2, issue.1, pp.13-29, 2001.

H. Dooms, Interleukin-7: Fuel for the autoimmune attack, Journal of Autoimmunity, vol.45, pp.40-48, 2013.
DOI : 10.1016/j.jaut.2013.06.007

C. Daniel, . Douek, R. Michael, . Betts, J. Brenna et al., Evidence for increased t cell turnover and decreased thymic output in hiv infection, The Journal of Immunology, issue.11, pp.1676663-6668, 2001.

M. Egger, M. May, . Genevì-eve-chêne, N. Andrew, B. Phillips et al., Prognosis of HIV-1-infected patients starting highly active antiretroviral therapy: a collaborative analysis of prospective studies, The Lancet, vol.360, issue.9327, pp.360119-129, 2002.
DOI : 10.1016/S0140-6736(02)09411-4

D. Finzi, J. Blankson, D. Janet, . Siliciano, B. Joseph et al., Latent infection of cd4+ t cells provides a mechanism for lifelong persistence of hiv-1, even in patients on effective combination therapy, Nature medicine, vol.5, issue.5, pp.512-517, 1999.

A. Margaret, . Fischl, D. Douglas, . Richman, H. Michael et al., The efficacy of azidothymidine (azt) in the treatment of patients with aids and aids-related complex, New England Journal of Medicine, vol.317, issue.4, pp.185-191, 1987.

N. Ford, K. Stinson, H. Gale, J. Edward, W. Mills et al., CD4 changes among virologically suppressed patients on antiretroviral therapy: a systematic review and meta-analysis, Journal of the International AIDS Society, vol.18, issue.1, p.2015
DOI : 10.7448/IAS.18.1.20061

S. Fritzell, S. Eberstål, E. Sandén, E. Visse, A. Darabi et al., IFN?? in combination with IL-7 enhances immunotherapy in two rat glioma models, Journal of Neuroimmunology, vol.258, issue.1-2, pp.91-95, 2013.
DOI : 10.1016/j.jneuroim.2013.02.017

J. Terry and . Fry, Interleukin-7: from bench to clinic, Blood, issue.11, pp.993892-3904, 2002.

J. Terry and . Fry, The many faces of il-7: from lymphopoiesis to peripheral t cell maintenance, The Journal of Immunology, vol.174, issue.11, pp.6571-6576, 2005.

J. Terry, E. Fry, J. Connick, . Falloon, M. Michael et al., A potential role for interleukin-7 in t-cell homeostasis, Blood, issue.10, pp.972983-2990, 2001.

C. Julie, . Gaardbo, J. Hans, A. Hartling, K. Ronit et al., Regulatory t cells in hivinfected immunological nonresponders are increased in blood but depleted in lymphoid tissue and predict immunological reconstitution, JAIDS Journal of Acquired Immune Deficiency Syndromes, vol.66, issue.4, pp.349-357, 2014.

C. Robert and . Gallo, The early years of hiv/aids, Science, vol.298, issue.5599, pp.1728-1730, 2002.

G. John and . Gerber, Using pharmacokinetics to optimize antiretroviral drug-drug interactions in the treatment of human immunodeficiency virus infection, Clinical infectious diseases, vol.30, issue.2, pp.123-129, 2000.

J. Gerdes, U. Schwab, H. Lemke, and H. Stein, Production of a mouse monoclonal antibody reactive with a human nuclear antigen associated with cell proliferation, International Journal of Cancer, vol.18, issue.1, pp.13-20, 1983.
DOI : 10.1002/ijc.2910310104

S. Michael, R. Gottlieb, . Schroff, M. Howard, . Schanker et al., Pneumocystis carinii pneumonia and mucosal candidiasis in previously healthy homosexual men: evidence of a new acquired cellular immunodeficiency, New England Journal of Medicine, issue.24, pp.3051425-1431, 1981.

S. Grabar, V. L. Moing, C. Goujard, C. Leport, D. Michel et al., Clinical Outcome of Patients with HIV-1 Infection according to Immunologic and Virologic Response after 6 Months of Highly Active Antiretroviral Therapy, Annals of Internal Medicine, vol.133, issue.6, pp.401-410, 2000.
DOI : 10.7326/0003-4819-133-6-200009190-00007

G. Simon, S. Gregory, P. Schmidt, J. R. Seth, J. Oksenberg et al., Interleukin 7 receptor ? chain (il7r) shows allelic and functional association with multiple sclerosis, Nature genetics, issue.9, pp.391083-1091, 2007.

S. Gupta, Immunology of HIV infection, 1996.
DOI : 10.1007/978-1-4899-0191-0

M. Scott, . Hammer, A. David, . Katzenstein, D. Michael et al., A trial comparing nucleoside monotherapy with combination therapy in hiv-infected adults with cd4 cell counts from 200 to 500 per cubic millimeter, New England Journal of Medicine, issue.15, pp.3351081-1090, 1996.

C. Harrison, Autoimmune disease: Targeting IL-7 reverses type 1 diabetes, Nature Reviews Drug Discovery, vol.11, issue.8, pp.599-599, 2012.
DOI : 10.1038/nrd3805

W. Craig, . Hendrix, C. Ann, . Collier, M. Michael et al., Safety, pharmacokinetics, and antiviral activity of amd3100, a selective cxcr4 receptor inhibitor, in hiv-1 infection, JAIDS Journal of Acquired Immune Deficiency Syndromes, vol.37, issue.2, pp.1253-1262, 2004.

C. Alan and . Hindmarsh, Odepack, a systematized collection of ode solvers, rs stepleman, IMACS transactions on scientific computation, vol.1, issue.1, pp.55-6455, 1983.

D. David, . Ho, U. Avidan, A. S. Neumann, W. Perelson et al., Rapid turnover of plasma virions and cd4 lymphocytes in hiv-1 infection, Nature, issue.6510, pp.373123-126, 1995.

N. Jessica, S. Hodge, Z. Srinivasula, . Hu, W. Sarah et al., Decreases in il-7 levels during antiretroviral treatment of hiv infection suggest a primary mechanism of receptor-mediated clearance, Blood, issue.12, pp.1183244-3253, 2011.

R. Hofmeister, . Khaled, . Benbernou, . Rajnavolgyi, S. Muegge et al., Interleukin-7: physiological roles and mechanisms of action, Cytokine & Growth Factor Reviews, vol.10, issue.1, pp.41-60, 1999.
DOI : 10.1016/S1359-6101(98)00025-2

Y. Huang, D. Liu, and H. Wu, Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System, Biometrics, vol.17, issue.2, pp.413-423, 2006.
DOI : 10.1111/j.1541-0420.2005.00447.x

S. Jaleco, L. Swainson, V. Dardalhon, M. Burjanadze, S. Kinet et al., Homeostasis of Naive and Memory CD4+ T Cells: IL-2 and IL-7 Differentially Regulate the Balance Between Proliferation and Fas-Mediated Apoptosis, The Journal of Immunology, vol.171, issue.1, pp.61-68, 2003.
DOI : 10.4049/jimmunol.171.1.61

I. Jarrin, N. Pantazis, J. Dalmau, N. Andrew, A. Phillips et al., Does rapid HIV disease progression prior to combination antiretroviral therapy hinder optimal CD4+ T-cell recovery once HIV-1 suppression is achieved?, AIDS, vol.29, issue.17, pp.15-00467, 2015.
DOI : 10.1097/QAD.0000000000000805

P. Kanki, K. Usmb-travers, . Marlink, . Essex, . Mboup et al., Slower heterosexual spread of hiv-2 than hiv-1. The Lancet, pp.343943-946, 1994.

R. Kantor, L. Diero, A. Delong, L. Kamle, S. Muyonga et al., Misclassification of First???Line Antiretroviral Treatment Failure Based on Immunological Monitoring of HIV Infection in Resource???Limited Settings, Clinical Infectious Diseases, vol.49, issue.3, pp.49454-462, 2009.
DOI : 10.1086/600396

U. Karrer, B. Ledergerber, H. Furrer, L. Elzi, M. Battegay et al., Dose-dependent influence of didanosine on immune recovery in HIV-infected patients treated with tenofovir, AIDS, vol.19, issue.17, pp.19-1987, 2005.
DOI : 10.1097/01.aids.0000194136.73876.9c

E. Robert, D. Kass, and . Steffey, Approximate bayesian inference in conditionally independent hierarchical models (parametric empirical bayes models)

R. Gilbert, H. Kaufmann, B. Furrer, L. Ledergerber, M. Perrin et al., Characteristics, determinants, and clinical relevance of cd4 t cell recovery to¡ 500 cells/µl in hiv type 1infected individuals receiving potent antiretroviral therapy, Clinical infectious diseases, issue.3, pp.41-361, 2005.

F. Colleen, . Kelley, M. Christina, . Kitchen, W. Peter et al., Incomplete peripheral cd4+ cell count restoration in hiv-infected patients receiving long-term antiretroviral treatment, Clinical Infectious Diseases, issue.6, pp.48787-794, 2009.

L. Sherrie, . Kelly, P. David, and . Wilson, Hiv cascade monitoring and simple modelling reveals potential for reductions in hiv incidence, Journal of acquired immune deficiency syndromes, p.2015, 1999.

M. Mari, . Kitahata, J. Stephen, A. G. Gange, B. Abraham et al., Effect of early versus deferred antiretroviral therapy for hiv on survival, New England Journal of Medicine, issue.18, pp.3601815-1826, 2009.

D. Klatzmann, K. Abul, and . Abbas, The promise of low-dose interleukin-2 therapy for autoimmune and inflammatory diseases, Nature Reviews Immunology, vol.134, issue.5, 2015.
DOI : 10.1016/S0140-6736(00)02799-9

D. Klatzmann, E. Champagne, S. Chamaret, J. Gruest, D. Guetard et al., T-lymphocyte T4 molecule behaves as the receptor for human retrovirus????LAV, Nature, vol.159, issue.5996, 1984.
DOI : 10.1038/312767a0

A. Joseph, M. Kovacs, R. J. Baseler, S. Dewar, R. T. Vogel et al., Increases in cd4 t lymphocytes with intermittent courses of interleukin-2 in patients with human immunodeficiency virus infectiona preliminary study, New England Journal of Medicine, vol.332, issue.9, pp.567-575, 1995.

A. Joseph, S. Kovacs, . Vogel, M. Jeffrey, J. Albert et al., Controlled trial of interleukin-2 infusions in patients infected with the human immunodeficiency virus, New England Journal of Medicine, issue.18, pp.3351350-1356, 1996.

J. Michael, K. Kozal, . Kroodsma, A. Mark, . Winters et al., Didanosine resistance in hiv-infected patients switched from zidovudine to didanosine monotherapy, Annals of internal medicine, vol.121, issue.4, pp.263-268, 1994.

R. Kurth and N. Bannert, Retroviruses: molecular biology, genomics and pathogenesis, 2010.

G. Christoph, . Lange, M. Michael, and . Lederman, Immune reconstitution with antiretroviral therapies in chronic hiv-1 infection, Journal of Antimicrobial Chemotherapy, vol.51, issue.1, pp.1-4, 2003.

A. Brendan, G. Larder, . Darby, D. Douglas, and . Richman, Hiv with reduced sensitivity to zidovudine (azt) isolated during prolonged therapy, Science, vol.243, issue.4899, pp.1731-1734, 1989.

J. Lévine and P. Müllhaupt, Advances in the Theory of Control, Signals and Systems with Physical Modeling, 2010.
DOI : 10.1007/978-3-642-16135-3

Y. Levy, . Capitant, . Houhou, . Carriere, C. Viard et al., Comparison of subcutaneous and intravenous interleukin-2 in asymptomatic HIV-1 infection: a randomised controlled trial, The Lancet, vol.353, issue.9168, pp.3531923-1929, 1999.
DOI : 10.1016/S0140-6736(98)07345-0

Y. Levy, . Sereti, . Tambussi, . Jp-routy, . Jd-lelievre et al., Effects of Recombinant Human Interleukin 7 on T-Cell Recovery and Thymic Output in HIV-Infected Patients Receiving Antiretroviral Therapy: Results of a Phase I/IIa Randomized, Placebo-Controlled, Multicenter Study, Clinical Infectious Diseases, vol.55, issue.2, pp.291-300, 2012.
DOI : 10.1093/cid/cis383

Y. Levy, C. Lacabaratz, L. Weiss, J. Viard, C. Goujard et al., Véronique Avettand-Fénoêl, et al. Enhanced t cell recovery in hiv-1?infected adults through il-7 treatment, The Journal of clinical investigation, vol.119, issue.4, p.997, 2009.

Y. Levy, Effect of interleukin-2 on clinical outcomes in patients with cd4+ cell count 50 to 299/mm3: primary results of the silcaat study, 16th Conference on Retroviruses and Opportunistic Infections, pp.8-11, 2009.

C. Lewden, G. Chêne, P. Morlat, F. Raffi, M. Dupon et al., Hiv-infected adults with a cd4 cell count greater than 500 cells/mm3 on long-term combination antiretroviral therapy reach same mortality rates as the general population, JAIDS Journal of Acquired Immune Deficiency Syndromes, vol.46, issue.1, pp.72-77, 2007.
URL : https://hal.archives-ouvertes.fr/inserm-00170726

C. Lewden, V. Bouteloup, C. Stéphane-de-wit, A. M. Sabin, C. Wasmuth et al., All-cause mortality in treated hiv-infected adults with cd4 500/mm3 compared with the general population: evidence from a large european observational cohort collaboration, International Journal of Epidemiology, p.164, 2011.

R. Tao-sheng-li, C. Tubiana, V. Katlama, . Calvez, B. Ait-mohand et al., Long-lasting recovery in cd4 t-cell function and viral-load reduction after highly active antiretroviral therapy in advanced hiv- 1 disease. The Lancet, pp.3511682-1686, 1998.

M. Losso and D. Abrams, Effect of interleukin-2 on clinical outcomes in patients with a cd4+ cell count of 300/mm3: primary results of the esprit study, 16th Conference on Retroviruses and Opportunistic Infections, pp.8-11, 2009.

A. Thomas and . Louis, Finding the observed information matrix when using the em algorithm, Journal of the Royal Statistical Society. Series B (Methodological), pp.226-233, 1982.

W. Lundström, M. Natasha, and . Fewkes, IL-7 in human health and disease, Seminars in immunology, pp.218-224, 2012.
DOI : 10.1016/j.smim.2012.02.005

G. Maartens, C. Celum, and S. R. Lewin, HIV infection: epidemiology, pathogenesis, treatment, and prevention, The Lancet, vol.384, issue.9939, pp.258-271, 2014.
DOI : 10.1016/S0140-6736(14)60164-1

L. Crystal, . Mackall, J. Terry, . Fry, E. Ronald et al., Harnessing the biology of il-7 for therapeutic application, Nature Reviews Immunology, vol.11, issue.5, pp.330-342, 2011.

G. Marchetti, M. Giusi, E. Bellistr-`-bellistr-`-i, C. Borghi, S. Tincati et al., Microbial translocation is associated with sustained failure in cd4+ t-cell reconstitution in hiv-infected patients on longterm highly active antiretroviral therapy, Aids, issue.15, pp.222035-2038, 2008.

W. Donald and . Marquardt, An algorithm for least-squares estimation of nonlinear parameters, Journal of the Society for Industrial & Applied Mathematics, vol.11, issue.2, pp.431-441, 1963.

M. Claudio, G. Mastroianni, . Forcina, M. Gabriella-dettorre, F. Lichtner et al., Circulating levels of interleukin-7 in antiretroviral-naive and highly active antiretroviral therapytreated hiv-infected patients, HIV clinical trials, vol.2, issue.2, pp.108-112, 2001.

M. May, P. Royston, M. Egger, C. Amy, . Justice et al., Development and validation of a prognostic model for survival time data: application to prognosis of HIV positive patients treated with antiretroviral therapy, Statistics in Medicine, vol.23, issue.15, pp.2375-2398, 2004.
DOI : 10.1002/sim.1825

T. Margaret, M. May, V. Gompels, K. Delpech, C. Porter et al., Impact on life expectancy of hiv-1 positive individuals of cd4+ cell count and viral load response to antiretroviral therapy, AIDS, issue.8, p.281193, 2014.

H. Mitsuya, J. Kent, . Weinhold, A. Phillip, M. H. Furman et al., 3'-Azido-3'-deoxythymidine (BW A509U): an antiviral agent that inhibits the infectivity and cytopathic effect of human T-lymphotropic virus type III/lymphadenopathy-associated virus in vitro., Proceedings of the National Academy of Sciences, pp.827096-7100, 1985.
DOI : 10.1073/pnas.82.20.7096

A. Mocroft, N. Andrew, J. Phillips, B. Gatell, M. Ledergerber et al., Normalisation of CD4 counts in patients with HIV-1 infection and maximum virological suppression who are taking combination antiretroviral therapy: an observational cohort study, The Lancet, vol.370, issue.9585, pp.370-407, 2007.
DOI : 10.1016/S0140-6736(07)60948-9

H. Mohri, A. S. Perelson, K. Tung, M. Ruy, B. Ribeiro et al., Increased Turnover of T Lymphocytes in HIV-1 Infection and Its Reduction by Antiretroviral Therapy, The Journal of Experimental Medicine, vol.95, issue.9, pp.1277-1288, 2001.
DOI : 10.1038/79549

D. A. Morgan, W. Francis, R. Ruscetti, and . Gallo, Selective in vitro growth of T lymphocytes from normal human bone marrows, Science, vol.193, issue.4257, pp.1007-1008, 1976.
DOI : 10.1126/science.181845

N. Carl and . Morris, Parametric empirical bayes inference: theory and applications, Journal of the American Statistical Association, vol.78, issue.381, pp.47-55, 1983.

S. Motta and F. Pappalardo, Mathematical modeling of biological systems, Briefings in Bioinformatics, vol.14, issue.4, pp.411-422, 2013.
DOI : 10.1093/bib/bbs061

N. Scott, T. Mueller, . Gebhardt, R. Francis, . Carbone et al., Memory t cell subsets, migration patterns, and tissue residence, Annual review of immunology, vol.31, pp.137-161, 2013.

F. Nakhaee and M. Law, Parametric modelling of survival following hiv and aids in the era of highly active antiretroviral therapy: data from australia, Eastern Mediterranean Health Journal, vol.3, issue.17, pp.231-237, 2011.

E. Anthony, . Namen, E. Ann, . Schmierer, J. Carl et al., B cell precursor growthpromoting activity. purification and characterization of a growth factor active on lymphocyte precursors, The Journal of experimental medicine, vol.167, issue.3, pp.988-1002, 1988.

M. Nowak, M. Robert, and . May, Virus dynamics: mathematical principles of Immunology and virology, 2000.

A. Afam, . Okoye, J. Louis, and . Picker, Cd4+ t-cell depletion in hiv infection: mechanisms of immunological failure, Immunological reviews, vol.254, issue.1, pp.54-64, 2013.

G. Nadine, . Pakker, D. Eugene, . Kroon, T. Marijke et al., Immune restoration does not invariably occur following long-term hiv-1 suppression during antiretroviral therapy, Aids, vol.13, issue.2, pp.203-212, 1999.

J. Frank, . Jr, M. Kathleen, . Delaney, C. Anne et al., Declining morbidity and mortality among patients with advanced human immunodeficiency virus infection, New England Journal of Medicine, issue.13, pp.338-853, 1998.

G. Pantaleo and Y. Lévy, Vaccine and immunotherapeutic interventions, Current Opinion in HIV and AIDS, vol.8, issue.3, pp.236-242, 2013.
DOI : 10.1097/COH.0b013e32835fd5cd

S. Patterson, A. Cescon, H. Samji, K. Chan, W. Zhang et al., Life expectancy of HIV-positive individuals on combination antiretroviral therapy in Canada, BMC Infectious Diseases, vol.13, issue.3, p.274, 2015.
DOI : 10.1097/00001648-200205000-00017

M. Perales, J. D. Goldberg, J. Yuan, G. Koehne, L. Lechner et al., Recombinant human interleukin-7 (CYT107) promotes T-cell recovery after allogeneic stem cell transplantation, Blood, vol.120, issue.24, pp.1204882-4891, 2012.
DOI : 10.1182/blood-2012-06-437236

S. Alan and . Perelson, Modelling viral and immune system dynamics, Nature Reviews Immunology, vol.2, issue.1, pp.28-36, 2002.

S. Alan, . Perelson, U. Avidan, M. Neumann, . Markowitz et al., Hiv-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time, Science, issue.5255, pp.2711582-1586, 1996.

T. Pierson, J. Mcarthur, F. Robert, and . Siliciano, Reservoirs for HIV-1: Mechanisms for Viral Persistence in the Presence of Antiviral Immune Responses and Antiretroviral Therapy, Annual Review of Immunology, vol.18, issue.1, pp.665-708, 2000.
DOI : 10.1146/annurev.immunol.18.1.665

C. José, . Pinheiro, M. Douglas, and . Bates, Approximations to the log-likelihood function in the nonlinear mixed-effects model, Journal of computational and Graphical Statistics, vol.4, issue.1, pp.12-35, 1995.

C. José, . Pinheiro, M. Douglas, and . Bates, Mixed-effects models in S and S-PLUS, 2000.

M. Prague, D. Commenges, J. Guedj, J. Drylewicz, and R. Thiébaut, Nimrod: A program for inference via a normal approximation of the posterior in models with random effects based on ordinary differential equations. Computer methods and programs in biomedicine, pp.447-458, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00933752

M. Prague, D. Commenges, and R. Thiébaut, Dynamical models of biomarkers and clinical progression for personalized medicine: The hiv context. Advanced drug delivery reviews, pp.954-965, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00933761

C. Prebensen, T. Ueland, E. Annika, A. Michelsen, . Lind et al., Anne Ma Dyrhol-Riise, and Dag Kvale. High mip-1 [beta] levels in plasma predict long-term immunological non-response to suppressive antiretroviral therapy in hiv infection, JAIDS Journal of Acquired Immune Deficiency Syndromes, 2015.

H. Putter, . Sh-heisterkamp, F. Lange, and . Wolf, A Bayesian approach to parameter estimation in HIV dynamical models, Statistics in Medicine, vol.5, issue.15, pp.2199-2214, 2002.
DOI : 10.1002/sim.1211

K. Radhakrishnan and A. C. Hindmarsh, Description and use of LSODE, the Livermore solver for ordinary differential equations. National Aeronautics and Space Administration, Scientific and Technical Information Program, 1993.

D. Douglas, J. M. Richman, . Grimes, W. Stephen, and . Lagakos, Effect of stage of disease and drug dose on zidovudine susceptibilities of isolates of human immunodeficiency virus, JAIDS Journal of Acquired Immune Deficiency Syndromes, vol.3, issue.8, pp.743-746, 1990.

V. Rondeau, Y. Mazroui, R. Juan, and . Gonzalez, Package for the Analysis of Correlated Survival Data with Frailty Models Using Penalized Likelihood Estimation or Parametrical Estimation, Journal of Statistical Software, vol.47, issue.4, pp.1-28
DOI : 10.18637/jss.v047.i04
URL : https://hal.archives-ouvertes.fr/hal-00717543

M. Rosenzwajg, G. Churlaud, R. Mallone, A. Six, N. Dérian et al., Low-dose interleukin-2 fosters a dose-dependent regulatory T cell tuned milieu in T1D patients, Journal of Autoimmunity, vol.58, pp.48-58, 2015.
DOI : 10.1016/j.jaut.2015.01.001
URL : https://hal.archives-ouvertes.fr/hal-01112156

S. Rusconi, P. Vitiello, F. Adorni, E. Colella, E. Focà et al., Maraviroc as Intensification Strategy in HIV-1 Positive Patients with Deficient Immunological Response: an Italian Randomized Clinical Trial, PLoS ONE, vol.6, issue.11, 2013.
DOI : 10.1371/journal.pone.0080157.s004

E. Saidakova, . Lb-korolevskaya, . Ng-shmagel, V. Shmagel, and . Chereshnev, The role of interleukin 7 and its cell receptor in a poor recovery of CD4+ T cells in HIV-infected patients receiving antiretroviral therapy, Doklady Biological Sciences, vol.458, issue.1, pp.313-315, 2014.
DOI : 10.1134/S0012496614050068

J. Saison, . Ferry, . Demaret, . Boulch, . Venet et al., Association between discordant immunological response to highly active anti-retroviral therapy, regulatory T cell percentage, immune cell activation and very low-level viraemia in HIV-infected patients, Clinical & Experimental Immunology, vol.155, issue.3, pp.401-409, 2014.
DOI : 10.1111/cei.12278

T. Sathaliyawala, M. Kubota, N. Yudanin, D. Turner, P. Camp et al., Distribution and Compartmentalization of Human Circulating and Tissue-Resident Memory T Cell Subsets, Immunity, vol.38, issue.1, pp.187-197, 2013.
DOI : 10.1016/j.immuni.2012.09.020

T. Scholzen and J. Gerdes, The Ki-67 protein: From the known and the unknown, Journal of Cellular Physiology, vol.19, issue.31, pp.311-322, 2000.
DOI : 10.1002/(SICI)1097-4652(200003)182:3<311::AID-JCP1>3.0.CO;2-9

B. Seddon, P. Tomlinson, and R. Zamoyska, Interleukin 7 and T cell receptor signals regulate homeostasis of CD4 memory cells, Nature Immunology, vol.4, issue.7, pp.680-686, 2003.
DOI : 10.1038/ni946

I. Sereti, M. Richard, J. Dunham, E. Spritzler, . Aga et al., IL-7 administration drives T cell-cycle entry and expansion in HIV-1 infection, Blood, vol.113, issue.25, pp.1136304-6314, 2009.
DOI : 10.1182/blood-2008-10-186601

I. Sereti, D. Jacob, . Estes, L. William, . Thompson et al., Decreases in Colonic and Systemic Inflammation in Chronic HIV Infection after IL-7 Administration, PLoS Pathogens, vol.41, issue.1, p.1003890, 2014.
DOI : 10.1371/journal.ppat.1003890.s008

H. Shin and A. Iwasaki, Tissue-resident memory T cells, Immunological Reviews, vol.108, issue.Suppl, pp.165-181, 2013.
DOI : 10.1111/imr.12087

Y. Shindo, J. Unsinger, C. Burnham, M. Jonathan, . Green et al., Interleukin-7 and Anti???Programmed Cell Death 1 Antibody Have Differing Effects to Reverse Sepsis-Induced Immunosuppression, Shock, vol.43, issue.4, pp.334-343, 2015.
DOI : 10.1097/SHK.0000000000000317

C. Sportès, R. R. Babb, C. Michael, . Krumlauf, T. Frances et al., Phase I Study of Recombinant Human Interleukin-7 Administration in Subjects with Refractory Malignancy, Clinical Cancer Research, vol.16, issue.2, pp.727-735, 2010.
DOI : 10.1158/1078-0432.CCR-09-1303

E. Rosalyn, A. Stahl, R. Friedman-kien, M. Dubin, S. Marmor et al., Immunologic abnormalities in homosexual men: relationship to kaposi's sarcoma. The American journal of medicine, pp.171-178, 1982.

S. Staszewski, V. Miller, S. Rehmet, T. Stark, J. De-creé et al., Virological and immunological analysis of a triple combination pilot study with loviride, lamivudine and zidovudine in HIV-1-infected patients, AIDS, vol.10, issue.5, pp.1-7, 1996.
DOI : 10.1097/00002030-199605000-00001

H. Stellbrink-van-lunzen, M. Westby, O. Eithne, C. Sullivan, A. Schneider et al., Effects of interleukin-2 plus highly active antiretroviral therapy on HIV-1 replication and proviral DNA (COSMIC trial), AIDS, vol.16, issue.11
DOI : 10.1097/00002030-200207260-00004

D. Charles, O. Surh, . Boyman, F. Jared, J. Purton et al., Homeostasis of memory t cells, Immunological reviews, vol.211, issue.1, pp.154-163, 2006.

E. James, . Talmadge, D. John, L. Jackson, C. D. Kelsey et al., T-cell reconstitution by molecular, phenotypic, and functional analysis in the thymus, bone marrow, spleen, and blood following split-dose polychemotherapy and therapeutic activity for metastatic breast cancer in mice, Journal of immunotherapy, vol.14, issue.4, pp.258-268, 1993.

R. Thiébaut, A. Héì-ene-jacqmin-gadda, D. Babiker, and . Commenges, Joint modelling of bivariate longitudinal data with informative dropout and left-censoring, with application to the evolution of CD4+ cell count and HIV RNA viral load in response to treatment of HIV infection, Statistics in Medicine, vol.53, issue.1, pp.65-82, 2005.
DOI : 10.1002/sim.1923

R. Thiébaut, J. Drylewicz, M. Prague, C. Lacabaratz, S. Beq et al., Quantifying and Predicting the Effect of Exogenous Interleukin-7 on CD4+T Cells in HIV-1 Infection, PLoS Computational Biology, vol.84, issue.5, p.1003630, 2014.
DOI : 10.1371/journal.pcbi.1003630.s011

R. Thiébaut, A. Jarne, J. Routy, I. Sereti, M. Fischl et al., Repeated Cycles of Recombinant Human Interleukin 7 in HIV-Infected Patients With Low CD4 T-Cell Reconstitution on Antiretroviral Therapy: Results of 2 Phase II Multicenter Studies, Clinical Infectious Diseases, vol.62, issue.9, 2015.
DOI : 10.1093/cid/ciw065

O. Homer, S. Valenzona, . Dhanoa, D. Fred, . Finkelman et al., Exogenous interleukin 7 as a proliferative stimulant of early precursor b cells in mouse bone marrow: efficacy of il-7 injection, il-7 infusion and il-7?anti-il-7 antibody complexes, Cytokine, issue.6, pp.10404-412, 1998.

W. Aad, . Van, and . Vaart, Asymptotic statistics, 2000.

A. Joel, . Van-roon, C. Marieke, M. Verweij, . Wenting-van-wijk et al., Increased intraarticular interleukin-7 in rheumatoid arthritis patients stimulates cell contact? dependent activation of cd4+ t cells and macrophages, Arthritis & Rheumatism, issue.6, pp.521700-1710, 2005.

T. Anthony, S. Vella, . Dow, A. Terry, J. Potter et al., Cytokine-induced survival of activated t cells in vitro and in vivo, Proceedings of the National Academy of Sciences, pp.3810-3815, 1998.

B. Verhoven, Y. Yan, M. Ritter, L. Khor, E. Hammond et al., Ki-67 Is an Independent Predictor of Metastasis and??Cause-Specific Mortality for Prostate Cancer Patients??Treated on Radiation Therapy Oncology Group??(RTOG) 94-08, International Journal of Radiation Oncology*Biology*Physics, vol.86, issue.2, pp.317-323, 2013.
DOI : 10.1016/j.ijrobp.2013.01.016

M. Vieira, N. J. Soares, . Borthwick, K. Mala, G. Maini et al., Il-7-dependent extrathymic expansion of cd45ra+ t cells enables preservation of a naive repertoire, The Journal of Immunology, issue.11, pp.1615909-5917, 1998.

A. Paul, . Volberding, W. Stephen, . Lagakos, A. Matthew et al., Zidovudine in asymptomatic human immunodeficiency virus infection: a controlled trial in persons with fewer than 500 cd4-positive cells per cubic millimeter, New England Journal of Medicine, issue.14, pp.322941-949, 1990.

K. Wang, Z. David, . Dargenio, P. Edward, . Acosta et al., Integrated Population Pharmacokinetic/Viral Dynamic Modelling of Lopinavir/Ritonavir in HIV-1 Treatment-Na??ve Patients, Clinical Pharmacokinetics, vol.203, issue.3, pp.361-371, 2014.
DOI : 10.1007/s40262-013-0122-1

X. Wei, K. Sajal, . Ghosh, E. Maria, . Taylor et al., Viral dynamics in human immunodeficiency virus type 1 infection, Nature, vol.226, issue.6510, pp.373117-122, 1995.
DOI : 10.1038/373117a0

L. Weiss, F. A. Letimier, M. Carriere, S. Maiella, V. Donkova-petrini et al., In vivo expansion of naive and activated CD4+CD25+FOXP3+ regulatory T cell populations in interleukin-2-treated HIV patients, Proceedings of the National Academy of Sciences, vol.107, issue.23, pp.10632-10637, 2010.
DOI : 10.1073/pnas.1000027107
URL : https://hal.archives-ouvertes.fr/inserm-00489719

Y. Xiao, H. Miao, S. Tang, and H. Wu, Modeling antiretroviral drug responses for hiv-1 infected patients using differential equation models. Advanced drug delivery reviews, pp.940-953, 2013.

R. Yarchoan, A. Jill, . Lietzau, . Bach-yen-nguyen, W. Otis et al., A Randomized Pilot Study of Alternating or Simultaneous Zidovudine and Didanosine Therapy in Patients with Symptomatic Human Immunodeficiency Virus Infection, Journal of Infectious Diseases, vol.169, issue.1, pp.9-17, 1994.
DOI : 10.1093/infdis/169.1.9

J. Zhu, H. Yamane, E. William, and . Paul, Differentiation of effector cd4 t cell populations. Annual review of immunology, p.445, 2010.