In the paper the problem of high computational complexity of synthesis is discussed. Existing models and methods of synthesis don’t allow build models of biological objects and systems. The complexity can be significantly reduced due to considering multilevel objects models instead of single level models. The new problem statement for multilevel synthesis is given. To build the models a new method based on inductive and deductive approaches is proposed. To describe the new multilevel models of the objects the theory of automata models is extended to the case of multilevel relatively finite operational automata models. Results of modeling of dynamics of the acid-base state in cavernous sinus of patients with cardiac surgical pathology during the postoperative period in the operating room and in the cardio-resuscitation unit are given.