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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aPh.D
099 _aCai01.12.17.Ph.D.2018.Ne.O
100 0 _aNermeen Kamel Abdelmoniem
245 1 0 _aOptimization techniques for bioinformatics models /
_cNermeen Kamel Abdelmoniem ; Supervised L. F. Abdelelal , N. H. Sweilam , A. A. Tharwat
246 1 5 _aتقنيات الأمثلية فى المعلوماتية الحيوية
260 _aCairo :
_bNermeen Kamel Abdelmoniem ,
_c2018
300 _a150 P. :
_bcharts ;
_c25cm
502 _aThesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
520 _aThis thesis is a contribution on optimization techniques for some bioinformatics models. These models are, the diffusion model, the cable equation for modeling neuronal dynamics, susceptible - infected - recovered and cross-immune (SIRC) model, and tumor immune model. The diffusion equation and the cable equation are introduced here as fractional order models, the fractional derivative is described in the Caputo{u2019}s sense. A Crank-Nicolson finite difference method for the time fractional parabolic equation on a distributed system using Message Passing Interface (MPI) is investigated. The weighted average finite difference method is used to discretized the cable equation, the resultant large system of equations of both the timefractional parabolic equation and the cable equation is studied using parallel preconditioned conjugate gradient method, with the implementation of cluster computing on it. Also, SIRC model has introduced as a fractional order model and the fractional derivative is described in the Caputo{u2019}s sense. The Chebyshev spectral method is implemented for solving this model. The properties of the Chebyshev polynomials are used to reduce the proposed problem to the solution of a system of algebraic equations which are solved by using dogleg trust region method
530 _aIssued also as CD
653 4 _aPontryagin Maximum Principle (PMP)
653 4 _aSusceptible - infected - recovered and cross-immune (SIRC)
653 4 _aTechniques for bioinformatics models
700 0 _aAsem Abdelfattah Tharwat ,
_eSupervisor
700 0 _aLayla Fahmy Abdelelal ,
_eSupervisor
700 0 _aNaser Hassan Sweilam ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aShimaa
_eCataloger
942 _2ddc
_cTH
999 _c69109
_d69109