[Mathematical model of brain edema and optimal control of intracranial pressure]

It is necessary to analyse various parameters responding to hypertonic solutions such as mannitol or glycerol, in order to achieve the best therapeutic results for patients having increased intracranial pressure (ICP). The responding model system for the ICP composing of multi-compartments of blood and brain tissue was mathematically introduced. By analysing the changes of the ICP under administration of glycerol using this system, the mathematical model for brain edema was developed. The cause of water transfer in this model system was indicated as the difference of the osmotic pressure and determined as ICP increasing factor, V. It was demonstrated that this theoretical model responded quite similarly to human ICP monitored by sumulating this system for clinical cases. The ICP controller was further developed. The automatic control of ICP was clinically achieved by using this controller. The minimal effective dose of glycerol can be automatically administered by presetting a desirable ICP for each patient.