الفهرس 
Fractional-order analysis for biomedical applications
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Abstract
The objective of this thesis is to inspect the effect of using fractional calculus in different aspects related to biomedical applications. The first aspect is medical image encryption for securing patient{u201F}s medical data profile. This is done through using different generalized chaotic maps for pseudorandom key stream generation. The employed generalized fractional order logistic map offered more degrees of freedom in map design as well as it increased the key length for better encryption results. The second aspect is employing fractional order filters in medical image edge detection. Fractional order filters greatly enhance edge detection techniques, with respect to noise sensitivity as well as the controllability of image features. Fractional order edge detection is applied in medical image encryption using edge maps which resulted in better results than the conventional encryption methods. Another application of fractional order edge detection is to help in diabetic retinopathy diagnosis through measuring the mean intensity of retinal images and detecting the disease progression aiding ophthalmologists to diagnose the case in early stages. The third field is the mathematical modeling of gene regulation process helping in the study of such a process through inspecting practical emulators. The integer order emulator is implemented in two forms: A digital platform using FPGA as well as an analog platform using the second generation current conveyor block CCII