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Stationary Solutions of Semilinear Differential Equations Driven by Fractional Brownian Motions
, M.Sc. Thesis Sharif University of Technology ; Zohori Zangene, Bijan (Supervisor)
Abstract
Let (X; d) be a metric space and (X;) be a partially ordered Space. Let F, g be measurable mappings such that F has g-monotone property and satisfying in a contraction condition. Firstly, some extentions of Banach fixed point theorem was investigated in particular way that lead to random coupled and random fixed point for mentioned mappings. Then, linear stochastic evolution equation and semilinear dissipitive stochastic evolution equation driven by infinite dimentional fractional Brownian noise was evaluated. It has been shown these equations define random dynamical systems with exponentially attracting random fixed points that are stationary solution for them
Design and Cryptanalysis of a Code-based Public-key Cryptosystem
, M.Sc. Thesis Sharif University of Technology ; Aref, Mohammad Reza (Supervisor)
Abstract
In recent decades, the use of cryptography to ensure the security and confidentiality of telecommunications has become undeniable. In the meantime, public key primitives are one of the most important parts of cryptography. Given the advances in quantum processing and manufacturing technology of quantum computers in recent years, solving hard problems in the field of number theory, such as integer factorization and discrete logarithms, which are difficult to solve in conventional computers, are becoming possible. It is expected that the emergence of large-scale quantum computers will be able to solve these problems in a practical way using the Shor algorithm. Nowadays, most commonly used...
In situ synthesized TiO2-polyurethane nanocomposite for bypass graft application: In vitro endothelialization and degradation
, Article Materials Science and Engineering C ; Volume 114 , May , 2020 ; Bagheri, R ; Pourjavadi, A ; Ghanbari, H ; Sharif University of Technology
Elsevier Ltd
2020
Abstract
The in vitro endothelial response of human umbilical vein endothelial cells was investigated on a poly (caprolactone)-based polyurethane surface vs an in situ TiO2-polyurethane nanocomposite surface, which has been produced as scaffolds for artificial vascular graft. The in situ synthesis of TiO2 nanoparticles in polyurethane provided surface properties that facilitated cellular adhesion, cell sensing, cell probing and especially cell migration. Cells on the nanocomposite surface have elongated morphology and were able to produce more extracellular matrix. All of these advantages led to an increase in the rate of endothelialization of the nanocomposite scaffold surface vs pure polyurethane....
Synergy of titanium dioxide nanotubes and polyurethane properties for bypass graft application: Excellent flexibility and biocompatibility
, Article Materials and Design ; Volume 215 , 2022 ; 02641275 (ISSN) ; Bagheri, R ; Pourjavadi, A ; Ghanbari, H ; Sharif University of Technology
Elsevier Ltd
2022
Abstract
A flexible, porous and biocompatible titanium dioxide nanotubes (TNT) - polyurethane (PU) film has been produced as a new scaffold for artificial vascular grafts. Synergistic improvements in the properties of vertical TNT and PU was reached, including enhancements in their biocompatibility, mechanical strength, flexibility and porosity. Open-ended (OE) TNT-PU and close-ended (CE) TNT-PU films were synthesized and their mechanical and biological properties were compared with their pure PU counterparts. TNT were attached to PU with a new strategy. The resulting flexible structure was hydrophilic and super hydrophilic in OE-TNT-PU and CE-TNT-PU scaffolds, respectively. The gas leakage during...
Fabrication and Surface Engineering of Pu-Tio2 Nanocomposites with Improved Mechanical, Surface and Hemocompatibility Properties with Usability in Vascular Tissue Engineering
, Ph.D. Dissertation Sharif University of Technology ; Baghery, Reza (Supervisor) ; Pourjavadi, Ali (Supervisor) ; Ghanbari, Hossein (Supervisor)
Abstract
The main focus of this project is the fabrication of surface engineering scaffolds based on polyurethane and titanium dioxide. The research's aim is the creation of the synergistic properties of TiO2 and PU as a new strategy for engineering artificial autologous blood vessels. In the first section, PU-TiO2 nanocomposites were synthesized by co-insitu synthesis of nanoparticles and polymer. The nanocomposite films were prepared by solvent casting and thermally induced phase separation methods. Mechanical and biological properties of films were compared with pure PU film. In solvent casting method, the outcomes revealed that the rate of endothelialization of the nanocomposite scaffold after 7...