Anorexia nervosa may be responsible for a catch- down or even an interruption of growth, delayed puberty and osteopenia with failure of acquisition of bone mass. The recovery of normal nutrition usually leads to a resumption of growth and pubertal development. However, despite a therapeutic nutritional and psychotherapeutic satisfactory approach, some patients have a significant short stature with reduced adult final height and a deficit of bone mass. The main objective is to evaluate the effect of growth hormone (hGH) treatment on the growth velocity in prepubertal children or children in early puberty with anorexia nervosa and significant reduction of height velocity. This is a single-center, controlled, randomized and double-blind clinical trial evaluating the efficacy of hGH treatment for 1 year against a placebo, on the growth velocity of prepubertal or children in early puberty with Anorexia nervosa and major catch-down.This period is followed by the evaluation of the hGH treatment in children receiving placebo and continued hGH treatment in the treatment arm for 1 year, in total 2 years of study for each child. This second period corresponds to an ethical consideration giving secondarily access to treatment for patients in the placebo group.

Patients will be evaluated at baseline and at 3, 6, 9, 12, 15, 18, 21 and 24 months after the start of the trial. This evaluation will include a clinical evaluation and a biological (IGF-I, IGFBP-3, leptin, ghrelin, adiponectin, mineral metabolism, thyroid function, 24 hours urinary cortisol, as well as conventional electrolyte tolerance parameters), psychological and nutritional study body composition by absorptiometry at 0, 12 and 24 months. Evaluations will be conducted at the Center for Clinical Investigation at Hospital Robert Debre. The primary endpoint will be the linear growth rate 1 year after the start of the trial expressed in cm/1 year in the group with hGH compared to the placebo group. The secondary endpoints will be the height velocity expressed in SDS (standard deviation score), the data of body composition and psychological changes that will be assessed between the 2 arms at the end of the two years of the clinical trial. The data of body composition obtained by dual photon absorptiometry and biological data of mineral metabolism and growth factors are expressed in Z score compared to normal references that we have established in France, in healthy subjects according to age, gender and pubertal stage.

Inclusion Criteria:

• Medical screening.
• Female and male subjects aged 8-16 years and 11 months, with clinical anorexia nervosa and / or reference to the diagnostic criteria of DSM-IV (1) before or at early puberty (Tanner stage 1 or 2) and with a prolonged Catch-Down for at least 18 months (HV ≤ 2 cm / year), with bone age ≤ 12 years in girls and ≤14 years in boys.
• Anorexia nervosa diagnosed at least 1 year before the study
• Growth velocity documented for at least 18 months before inclusion
• As with any child with a severe Catch-Down an assessment of GH secretion must be performed before inclusion (in the context of care) in the trial, which is not conditioned by the GH peak value : GH value of <20 miu / L will lead to the production of a brain MRI (in the context of care) that have to be normal (normal hypothalamic-pituitary axis and absence of tumor pathology) to allow Inclusion of the patient.
• Normal glucose tolerance
• Stable metabolic state with of weight gain of at least 10% of body weight from the time the body mass index was the lowest in relation to the occurrence of the disease and normal blood electrolytes (no hypokalemia) .
• Subjects whose holders have signed parental consent
• Subjects whose holders of parental authority are affiliated to a social security scheme
• CMU (CMU universal medical coverage).

Exclusion Criteria:

• Subjects in the mid-puberty (Tanner stage 3 or 4) or with menarche.
• Subjects with a chromosomal abnormality or other chronic disease associated chronic requiring long-term treatment.
• Impaired glucose tolerance or diabetes.
• Inability of the patient or the medical team to ensure the progress and monitoring under the protocol.
• Participation in another trial.
• Bradycardia ≤ 50 bpm.
• Children whose holders of parental authority are not beneficiaries of social security
• Contra-indication to SOMATROPINE