Allograft vascular thrombosis is a devastating complication in kidney transplantation in adults and older children. Though uncommon, it is often irreversible and represents the main cause of graft loss within after kidney transplantation in adults and in the first post-operative year in children. Since allograft thrombosis is usually observed in the first 48h post-operatively, the need to promptly achieve appropriate anticoagulation in at-risk patients is of utmost importance. However, no consensus exists regarding the optimal prophylaxis in the peri-transplant period and the following dose-adjustment, and practices are highly heterogeneous among centers. Moreover, the therapeutic target is very narrow and antithrombotic agents may conversely increase the risk of allograft hematoma. Enoxaparin is a low molecular weight heparin commonly used in this context, but off-label in children. Therapeutic ranges are based on anti-Xa levels 4 to 6 hours following injection and extrapolated from adults although evidences suggest that such extrapolation may be inappropriate in many circumstances. The current pediatric practice of dose adjustment to achieve and maintain a target anti-Xa range is empirical and dependent on the physician. The aim of the proposed clinical trial is to assess the efficacy/safety profile of this bayesian-based dose optimization in the clinical setting, as compared to the current practices of empirical adjustment. This should greatly improve the personalized management of renal transplanted children, a subset of patients with singular renal function and little-investigated pharmacokinetics and help standardizing and rationalizing practices.