Mehdi Lotfi - MSc in Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Hossein Kheiri - Professor, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Azizeh Jabbari - Assistant Professor, Faculty of Engineering of Marand, University of Tabriz, Tabriz, Iran

Introduction:In this paper, an encryption algorithm for the security of medical images is presented, which has extraordinary security. Given that the confidentiality of patient data is one of the priorities of medical informatics, the algorithm can be used to store and send medical image.Material and Methods:In this paper, the solutions of chaotic differential equations are used to generate encryption keys. This method is more than other methods used in encoding medical images, resistant to statistics attacks, low encryption and decryption time and very high key space. In the proposed algorithm, unlike other methods that use random key generation, this method uses the production of solutions of the chaotic differential equations in a given time period for generating a key. All simulations and coding are done in MATLAB software.Results:Chaotic Differential Equations have two very important features that make it possible to encode medical images. One is the unpredictability of the system's behavior and the other is a severe sensitivity to the initial condition.Conclusion:These two features make the method resistant to possible attacks to decode the concept of synchronization chaotic systems. Using the results of the method, medical information can be made safer than existing ones.

Encoding, Medical Images, Medical Data Security, Chaos, Synchronization