Method of analysis of a diagnostic dental representation showing a dental arch of a current patient in several dimensions, said method, executed by a computer, comprising the following steps: 1) creation of a learning base comprising more than 1,000 historical dental structures, each historical dental structure comprising - a historical dental representation showing an arch of a historical patient in several dimensions, and - a historical specification containing the following attributes - an orthodontic treatment in the framework of which said historical dental representation has been acquired - an identification of teeth shown on said historical dental representation - a speed of displacement of these teeth - an information on the occurrence of a rhizalyse in the framework of this treatment, 2) training of at least one neural network by means of the learning base, the training allowing the neural network to progressively learn to recognize patterns on a dental representation and to associate them with attribute values; 3) submission, to said neural network, of the diagnostic dental representation and of an analysis specification comprising attribute values for at least the attributes whose values constitute the historical specifications of the historical dental representations, except for the attribute of information on the occurrence of a rhizalyse in the framework of this treatment. 1) creation of a learning base comprising more than 1,000 historical dental structures, each historical dental structure comprising - a historical dental representation showing an arch of a historical patient in several dimensions, and - a historical specification containing the following attributes - an orthodontic treatment in the framework of which said historical dental representation has been acquired - an identification of teeth shown on said historical dental representation - a speed of displacement of these teeth - an information on the occurrence of a rhizalyse in the framework of this treatment, - a historical dental representation showing an arch of a historical patient in several dimensions, and - a historical specification containing the following attributes - an orthodontic treatment in the framework of which said historical dental representation has been acquired - an identification of teeth shown on said historical dental representation - a speed of displacement of these teeth - an information on the occurrence of a rhizalyse in the framework of this treatment, - an orthodontic treatment in the framework of which said historical dental representation has been acquired - an identification of teeth shown on said historical dental representation - a speed of displacement of these teeth - an information on the occurrence of a rhizalyse in the framework of this treatment, 2) training of at least one neural network by means of the learning base, the training allowing the neural network to progressively learn to recognize patterns on a dental representation and to associate them with attribute values; 3) submission, to said neural network, of the diagnostic dental representation and of an analysis specification comprising attribute values for at least the attributes whose values constitute the historical specifications of the historical dental representations, except for the attribute of information on the occurrence of a rhizalyse in the framework of this treatment.