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A heterogeneous diffusive logistic model of a single species population dynamics with predation and harvesting terms
, Article Nonlinear Analysis, Theory, Methods and Applications ; Volume 156 , 2017 , Pages 1-16 ; 0362546X (ISSN) ; Torabi Tehrani, H ; Sharif University of Technology
2017
Abstract
We study existence and multiplicity of positive solutions of a heterogeneous diffusive logistic equation with predation and harvesting terms, −Δu=au−b(x)u2−c, where a,c,m and d are positive constants, Ω a bounded smooth domain in RN, and b(x) is a nonnegative function on Ω¯, with Ω0 a region such that Ω¯0⊂Ω and Ω¯0={x∈Ω:b(x)=0}. Under the strong growth rate assumption, that is, when a is greater than the first eigenvalue of −Δ in Ω0 with Dirichlet boundary condition, we show that the equation has at least one positive solution for 0≤d0. In addition, in case c
Diffusive logistic equations with harvesting and heterogeneity under strong growth rate
, Article Advances in Nonlinear Analysis ; Volume 8, Issue 1 , 2019 , Pages 455-467 ; 21919496 (ISSN) ; Torabi Tehrani, H ; Sharif University of Technology
De Gruyter
2019
Abstract
We consider the equation (equation presented) where Ω is a smooth bounded domain in ℝ N , b(x) and h(x) are nonnegative functions, and there exists Ω 0 ⊃ Ω such that {x : b(x) = 0} = Ω0. We investigate the existence of positive solutions of this equation for c large under the strong growth rate assumption a ≥ λ 1 (Ω0), where λ 1 (Ω0) is the first eigenvalue of the δ in Ω0 with Dirichlet boundary condition. We show that if h = 0 in Ω\u03a90, then our equation has a unique positive solution for all c large, provided that a is in a right neighborhood of λ 1 (Ω0). For this purpose, we prove and utilize some new results on the positive solution set of this equation in the weak growth rate case
Kakeya Needle Problem
, M.Sc. Thesis Sharif University of Technology ; Ranjbar Motlagh, Alireza (Supervisor)
Abstract
The Kakeya needle problem was stated by a Japanese mathematician, Kakeya, in 1917 as follows: \What is the least area of a planar shape in which a needle of unit length can be turned 180 degrees?" Later, this problem was closely related to some problems in Fourier analysis and harmonic analysis, theory of partial dierential equations, theory of arithmetic combinatorics, and analytic number theory. In this thesis, after stating some elementary considerations in chapter one, we describe the Kakeya needle problem and Besicovitch's solution in chapter two. In chapter three there will be some discussions about the Fourier multiplier operator and in particular, disk multiplier operator, and we...
Diffusive Predator-prey System in Heterogeneous Environment with Harvesting of Prey
, Ph.D. Dissertation Sharif University of Technology ; Fotouhi , Morteza (Supervisor) ; Torabi Tehrani, Hossein (Supervisor)
Abstract
In this thesis, we study diffusive heterogeneous predator-prey system with Holling type-II functional response in the presence of harvesting in prey equation i.e.8>>>>><>>>>>: Δu = u a(x)u2 buv1 + mu ch(x) inΩ;Δv = v v2 +duv1 + muinΩ;@u = @v = 0 on @Ω,where Ω is a smooth bounded region in RN and a(x) is a nonnegative continuous function on Ω, with Ω0 a region such that Ω0 Ω and a(x) > 0on ΩnΩ0. We show that in the case of weak prey growth rate, i.e. less than the first eigenvalue of Δ in Ω0 with Dirichlet boundary condition,the system has a positive solution for the values of in a bounded interval and c > 0 sufficiently small. We also investigate the multiplicity of positive solutions...
A novel vehicle tracking method with occlusion handling using longest common substring of chain-codes
, Article 2009 14th International CSI Computer Conference, CSICC 2009, Tehran, 20 October 2009 through 21 October 2009 ; 2009 , Pages 176-181 ; 9781424442621 (ISBN) ; Kasaei, S ; Sharif University of Technology
2009
Abstract
Vehicle tracking is an essential requirement of any vision based Intelligent Transportation System for extracting different traffic parameters, efficiently. Handling inter-object occlusion is the most challenging part of tracking as a process of finding and following interested objects in a sequence of video frames. In this paper we present a system, based on code-book background model for motion segmentation and Kalman filter for tracking with a new approach for occlusion. This approach separates occluded vehicles based on longest common substring of chain codes. We use this tracking system to estimate some traffic parameters. Experimental results show the efficiency of the method. ©2009...
Adaptive prescribed performance control of switched MIMO uncertain nonlinear systems subject to unmodeled dynamics and input nonlinearities
, Article International Journal of Robust and Nonlinear Control ; Volume 28, Issue 18 , 2018 , Pages 5981-5996 ; 10498923 (ISSN) ; Shahrokhi, M ; Vafa, E ; Moradvandi, A ; Sharif University of Technology
2018
Abstract
In this paper, the design of an adaptive tracking control for a class of switched uncertain multiple-input–multiple-output nonlinear systems in the strict-feedback form with unmodeled dynamics in the presence of three types of input nonlinearity under arbitrary switching has been addressed. By means of an intelligent approximator like a fuzzy logic system or a neural network, the unknown dynamics are estimated. The unmodeled dynamics have been tackled with a dynamic signal. A universal framework for describing different types of input nonlinearity including saturation, backlash, and dead zone has been utilized. By applying the backstepping approach and the common Lyapunov function method,...
Theoretical and experimental investigations of the inverse emulsion polymerization of acrylamide
, Article Journal of Applied Polymer Science ; Volume 132, Issue 22 , February , 2015 ; 00218995 (ISSN) ; Shahrokhi, M ; Ahmad Ramazani, S. A ; Vafa, E ; Sharif University of Technology
John Wiley and Sons Inc
2015
Abstract
In this study, the inverse emulsion polymerization modeling of polyacrylamide with population balance equations (PBEs) was performed. The PBEs were derived on the basis of the zero-one kinetic model. The effects of the surfactant steric barrier and surfactant reaction with radicals, including monomeric radicals, on the radical entry rate into the particle were taken into account. In the modified model, the coagulation phenomenon was included through consideration of the effects of forces not included in the Derjaguin, Landau, Verwey, and Overbeek (DLVO) theory; these include hydration and steric forces in addition to DLVO forces. The effects of the surfactant and initiator concentrations on...
HELIOS: High-speed sequence alignment in optics
, Article PLoS Computational Biology ; Volume 18, Issue 11 , 2022 ; 1553734X (ISSN) ; Akbari Rokn Abadi, S ; Koohi, S ; Sharif University of Technology
Public Library of Science
2022
Abstract
In response to the imperfections of current sequence alignment methods, originated from the inherent serialism within their corresponding electrical systems, a few optical approaches for biological data comparison have been proposed recently. However, due to their low performance, raised from their inefficient coding scheme, this paper presents a novel all-optical high-throughput method for aligning DNA, RNA, and protein sequences, named HELIOS. The HELIOS method employs highly sophisticated operations to locate character matches, single or multiple mutations, and single or multiple indels within various biological sequences. On the other hand, the HELIOS optical architecture exploits...
O-TF and O-FTF, optical fault-tolerant DCNS
, Article Proceedings - 26th Euromicro International Conference on Parallel, Distributed, and Network-Based Processing, PDP 2018 ; 6 June , 2018 , Pages 639-642 ; 9781538649756 (ISBN) ; Koohi, S ; Sharif University of Technology
Institute of Electrical and Electronics Engineers Inc
2018
Abstract
Performance of a data center is a function of three features; bandwidth, latency, and reliability. By adopting optical technology in data center network, bandwidth increment, in addition to reduction of transmission latency and power consumption, is achieved. Unfortunately, fault tolerance of the optical networks has raised less attention so far. So in this paper, we propose a fault-tolerant, scalable, and high-performance optical architecture built upon previously proposed O-TF network, with the goal of redundancy optimization and reducing the minimum number of wavelength channels required for non-blocking functionality of the network. Moreover, reducing network diameter, in O-FTF network...
Exploitation of wavelength, hardware, and path redundancies in fault-tolerant all-optical DCNs
, Article Optical Fiber Technology ; Volume 51 , 2019 , Pages 77-89 ; 10685200 (ISSN) ; Koohi, S ; Sharif University of Technology
Academic Press Inc
2019
Abstract
Data center performance is affected by three main factors; bandwidth, latency, and reliability of intra-data center interconnection network. Bandwidth and latency are definitely improved by adopting optical technology for intra-data center communication, but fault tolerance of the corresponding optical networks has been raised less. Recently, we introduced two Torus-based, all-optical, and non-blocking networks, i.e. O-TF and O-FTF, addressing reliability of optical networks, and now, in this paper, to address the scalability problem, we propose a novel Optical Clos-based architecture which reduces minimum number of required wavelength channels, as well as, the switch size in each node....
Design of a pseudo stir bar sorptive extraction using graphenized pencil lead as the base of the molecularly imprinted polymer for extraction of nabumetone
, Article Spectrochimica Acta - Part A: Molecular and Biomolecular Spectroscopy ; Volume 238 , 2020 ; Dadfarnia, S ; Haji Shabani, A. M ; Kazemi, E ; Sharif University of Technology
Elsevier B.V
2020
Abstract
Molecularly imprinted polymer (MIP) was synthesized through the coprecipitation method on the graphene oxide anchored pencil lead as a substrate for the first time and applied as an efficient sorbent for pseudo stir bar sorptive extraction of nabumetone. The extracted analyte was determined by a novel spectrophotometric method based on the aggregation of silicate sol-gel stabilized silver nanoparticles in the presence of the analyte. The synthesized polymer was characterized using Fourier transform infrared spectroscopy and field emission scanning electron microscopy. Optimization of important parameters affecting the extraction efficiency was done using central composite design whereas the...
Selective fluorometric determination of sulfadiazine based on the growth of silver nanoparticles on graphene quantum dots
, Article Microchimica Acta ; Volume 187, Issue 1 , 2020 ; Haji Shabani, A. M ; Dadfarnia, S ; Kazemi, E ; Sharif University of Technology
Springer
2020
Abstract
A sensitive fluorometric assay is described for the direct determination of the antibiotic sulfadiazine. Silver nanoparticles placed on graphene quantum dots (Ag NP-GQDs) were synthesized by reduction of AgNO3 with sodium borohydride in the presence of GQDs. The growth of Ag NPs on the surface of the GQDs causes quenching of the blue fluorescence of the GQDs with an emission maximum at 470 nm by surface-enhanced energy transfer. If sulfadiazine is added, it interacts with Ag NPs and fluorescence is restored. Under optimal conditions, the fluorescence increases linearly in the sulfadiazine concentration range of 0.04–22.0 μM. The detection limit is 10 nM with relative standard deviations of...
WalkIm: Compact image-based encoding for high-performance classification of biological sequences using simple tuning-free CNNs
, Article PLoS ONE ; Volume 17, Issue 4 April , 2022 ; 19326203 (ISSN) ; Mohammadi, A ; Koohi, S ; Sharif University of Technology
Public Library of Science
2022
Abstract
The classification of biological sequences is an open issue for a variety of data sets, such as viral and metagenomics sequences. Therefore, many studies utilize neural network tools, as the well-known methods in this field, and focus on designing customized network structures. However, a few works focus on more effective factors, such as input encoding method or implementation technology, to address accuracy and efficiency issues in this area. Therefore, in this work, we propose an image-based encoding method, called as WalkIm, whose adoption, even in a simple neural network, provides competitive accuracy and superior efficiency, compared to the existing classification methods (e.g. VGDC,...
An accurate alignment-free protein sequence comparator based on physicochemical properties of amino acids
, Article Scientific Reports ; Volume 12, Issue 1 , 2022 ; 20452322 (ISSN) ; Abdosalehi, A. S ; Pouyamehr, F ; Koohi, S ; Sharif University of Technology
Nature Research
2022
Abstract
Bio-sequence comparators are one of the most basic and significant methods for assessing biological data, and so, due to the importance of proteins, protein sequence comparators are particularly crucial. On the other hand, the complexity of the problem, the growing number of extracted protein sequences, and the growth of studies and data analysis applications addressing protein sequences have necessitated the development of a rapid and accurate approach to account for the complexities in this field. As a result, we propose a protein sequence comparison approach, called PCV, which improves comparison accuracy by producing vectors that encode sequence data as well as physicochemical properties...
Moving vehicle tracking using disjoint-view multicameras
, Article Iranian Journal of Electrical and Electronic Engineering ; Volume 7, Issue 3 , Volume 7, Issue 3 , 2011 , Pages 168-178 ; 17352827 (ISSN) ; Kasaei, S ; Sharif University of Technology
2011
Abstract
Multicamera vehicle tracking is a necessary part of any video-based intelligent transportation system for extracting different traffic parameters; such as link travel times and origin/destination counts. In many applications, it is needed to locate traffic cameras disjoint from each other to cover a wide area. This paper presents a method for tracking moving vehicles in such camera networks. The proposed method introduces a new method for handling inter-object occlusions; as the most challenging part of the single camera tracking phase. This approach is based on coding the silhouette of moving objects before and after occlusion and separating occluded vehicles by computing the longest common...
Optical pattern generator for efficient bio-data encoding in a photonic sequence comparison architecture
, Article PLoS ONE ; Volume 16, Issue 1 , 2021 ; 19326203 (ISSN) ; Dijujin, N. H ; Koohi, S ; Sharif University of Technology
Public Library of Science
2021
Abstract
In this study, optical technology is considered as SA issues’ solution with the potential ability to increase the speed, overcome memory-limitation, reduce power consumption, and increase output accuracy. So we examine the effect of bio-data encoding and the creation of input images on the pattern-recognition error-rate at the output of optical Vander-lugt correlator. Moreover, we present a genetic algorithm-based coding approach, named as GAC, to minimize output noises of cross-correlating data. As a case study, we adopt the proposed coding approach within a correlation-based optical architecture for counting k-mers in a DNA string. As verified by the simulations on Salmonella whole-genome,...
Optical pattern generator for efficient bio-data encoding in a photonic sequence comparison architecture
, Article PloS one ; Volume 16, Issue 1 , 2021 , Pages e0245095- ; 19326203 (ISSN) ; Hashemi Dijujin, N ; Koohi, S ; Sharif University of Technology
NLM (Medline)
2021
Abstract
In this study, optical technology is considered as SA issues' solution with the potential ability to increase the speed, overcome memory-limitation, reduce power consumption, and increase output accuracy. So we examine the effect of bio-data encoding and the creation of input images on the pattern-recognition error-rate at the output of optical Vander-lugt correlator. Moreover, we present a genetic algorithm-based coding approach, named as GAC, to minimize output noises of cross-correlating data. As a case study, we adopt the proposed coding approach within a correlation-based optical architecture for counting k-mers in a DNA string. As verified by the simulations on Salmonella whole-genome,...
Optical pattern generator for efficient bio-data encoding in a photonic sequence comparison architecture
, Article PLoS ONE ; Volume 16, Issue 1 January 2021 , 2021 ; 19326203 (ISSN) ; Dijujin, N. H ; Koohi, S ; Sharif University of Technology
Public Library of Science
2021
Abstract
In this study, optical technology is considered as SA issues’ solution with the potential ability to increase the speed, overcome memory-limitation, reduce power consumption, and increase output accuracy. So we examine the effect of bio-data encoding and the creation of input images on the pattern-recognition error-rate at the output of optical Vander-lugt correlator. Moreover, we present a genetic algorithm-based coding approach, named as GAC, to minimize output noises of cross-correlating data. As a case study, we adopt the proposed coding approach within a correlation-based optical architecture for counting k-mers in a DNA string. As verified by the simulations on Salmonella whole-genome,...
Optical pattern generator for efficient bio-data encoding in a photonic sequence comparison architecture
, Article PloS one ; Volume 16, Issue 1 , 2021 , Pages e0245095- ; 19326203 (ISSN) ; Hashemi Dijujin, N ; Koohi, S ; Sharif University of Technology
NLM (Medline)
2021
Abstract
In this study, optical technology is considered as SA issues' solution with the potential ability to increase the speed, overcome memory-limitation, reduce power consumption, and increase output accuracy. So we examine the effect of bio-data encoding and the creation of input images on the pattern-recognition error-rate at the output of optical Vander-lugt correlator. Moreover, we present a genetic algorithm-based coding approach, named as GAC, to minimize output noises of cross-correlating data. As a case study, we adopt the proposed coding approach within a correlation-based optical architecture for counting k-mers in a DNA string. As verified by the simulations on Salmonella whole-genome,...
On uniquely k-list colorable planar graphs, graphs on surfaces, and regular graphs
, Article Graphs and Combinatorics ; Volume 34, Issue 3 , May , 2018 , Pages 383-394 ; 09110119 (ISSN) ; Hutchinson, J. P ; Ilchi, S. G ; Mahmoodian, E. S ; Matsumoto, N ; Shabani, M. A ; Sharif University of Technology
Springer Tokyo
2018
Abstract
A graph G is called uniquelyk-list colorable (UkLC) if there exists a list of colors on its vertices, say L= { Sv∣ v∈ V(G) } , each of size k, such that there is a unique proper list coloring of G from this list of colors. A graph G is said to have propertyM(k) if it is not uniquely k-list colorable. Mahmoodian and Mahdian (Ars Comb 51:295–305, 1999) characterized all graphs with property M(2). For k≥ 3 property M(k) has been studied only for multipartite graphs. Here we find bounds on M(k) for graphs embedded on surfaces, and obtain new results on planar graphs. We begin a general study of bounds on M(k) for regular graphs, as well as for graphs with varying list sizes. © 2018, Springer...