fundamental vector
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2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Kathryn Rozen-Gagnon ◽  
Soon Yi ◽  
Eliana Jacobson ◽  
Sasha Novack ◽  
Charles M. Rice

AbstractAedes (Ae.) aegypti and Ae. albopictus mosquitoes transmit arthropod-borne diseases around the globe, causing ~ 700,000 deaths each year. Genetic mutants are valuable tools to interrogate both fundamental vector biology and mosquito host factors important for viral infection. However, very few genetic mutants have been described in mosquitoes in comparison to model organisms. The relative ease of applying CRISPR/Cas9-based gene editing has transformed genome engineering and has rapidly increased the number of available gene mutants in mosquitoes. Yet, in vivo studies may not be practical for screening large sets of mutants or possible for laboratories that lack insectaries. Thus, it would be useful to adapt CRISPR/Cas9 systems to common mosquito cell lines. In this study, we generated and characterized a mosquito optimized, plasmid-based CRISPR/Cas9 system for use in U4.4 (Ae. albopictus) and Aag2 (Ae. aegypti) cell lines. We demonstrated highly efficient editing of the AGO1 locus and isolated U4.4 and Aag2 cell lines with reduced AGO1 expression. Further, we used homology-directed repair to establish knock-in Aag2 cell lines with a 3xFLAG-tag at the N-terminus of endogenous AGO1. These experimentally verified plasmids are versatile, cost-effective, and efficiently edit immune competent mosquito cell lines that are widely used in arbovirus studies.


2020 ◽  
Author(s):  
Kathryn Rozen-Gagnon ◽  
Soon Yi ◽  
Eliana Jacobson ◽  
Sasha Novack ◽  
Charles M. Rice

AbstractAedes (Ae.) aegypti and Ae. albopictus mosquitoes transmit arthropod-borne diseases around the globe, causing ~700,000 deaths each year. Genetic mutants are valuable tools to interrogate both fundamental vector biology and mosquito host factors important for viral infection. However, very few genetic mutants have been described in mosquitoes in comparison to model organisms. The relative ease of applying CRISPR/Cas9 based gene editing has transformed genome engineering and has rapidly increased the number of available gene mutants in mosquitoes. Yet, in vivo studies may not be practical for screening large sets of mutants or possible for laboratories that lack insectaries. Thus, it would be useful to adapt CRISPR/Cas9 systems to common mosquito cell lines. In this study, we generated and characterized a mosquito optimized, plasmid based CRISPR/Cas9 system for use in U4.4 (Ae. albopictus) and Aag2 (Ae. aegypti) cell lines. We demonstrated highly efficient editing of the AGO1 locus and isolated knock-down AGO1 cell lines. Further, we used homology-directed repair to establish knock-in Aag2 cell lines with a 3xFLAG-tag at the N-terminus of endogenous AGO1. These experimentally verified plasmids are versatile, cost-effective, and efficiently edit immune competent mosquito cell lines that are widely used in arbovirus studies.


Author(s):  
Loring W. Tu

This chapter addresses fundamental vector fields. The concept of a connection on a principal bundle is essential in the construction of the Cartan model. To define a connection on a principal bundle, one first needs to define the fundamental vector fields. When a Lie group acts smoothly on a manifold, every element of the Lie algebra of the Lie group generates a vector field on the manifold called a fundamental vector field. On a principal bundle, the fundamental vectors are precisely the vertical tangent vectors. In general, there is a relation between zeros of fundamental vector fields and fixed points of the group action. Unless specified otherwise (such as on a principal bundle), a group action is assumed to be a left action.


In this paper, subspace based on DOA evaluation with high resolution ROOT-Multiple Signal Classification (MUSIC) method is proposed for MIMO radar. In order to achieve a desired transmitting power distribution, the main component is the fundamental vector was made such that the transmitted power is focuses on power to be transmitted inside the required sectors eliminating the power of off-sector. Using the designed algorithm, population in associate weight-vectors is created which has almost equal size division. These associate vectors utilized in forming multiple transmitting ways, over which an orthogonal waveform is transmitted. Match filtering is done for the collected information and perpendicular transmitted waves. Many of the information vectors similar to the perpendicular waves are generated. Now, carefully taking these waves, virtual information output covariance matrix that enhances the use in super resolution direction of arrival prediction methods. This technique decomposes the eigenvectors in correlation. Signal estimation is performed by taking the maximum values in the signal, corresponding to base in the polynomial. The software output display ROOT MUSIC technique giving best DOA prediction presentation compared to existing techniques that have been used for comparison.


Author(s):  
John von Neumann

This chapter defines Hilbert space, which furnishes the mathematical basis for the treatment of quantum mechanics. This is done within the context of an equation introduced in the previous chapter, and which have accordingly the same meaning in the “discrete” function space FsubscriptZ of the sequences xsubscriptv (ν‎ = 1, 2, . . .) and in the “continuous” Fsubscript Greek Capital Letter Omega of the wave functions φ‎(q₁, . . . , qₖ) (q₁, . . . , qₖ run through the entire state space Ω‎). In order to define abstract Hilbert space, this chapter takes as a basis the fundamental vector operations af, f ± g, (f, g).


10.3982/qe393 ◽  
2017 ◽  
Vol 8 (1) ◽  
pp. 149-180 ◽  
Author(s):  
Bin Chen ◽  
Jinho Choi ◽  
Juan Carlos Escanciano

Author(s):  
Sandro Ianniello ◽  
Andrea Di Mascio

A new computational approach for tracking evolving interfaces is proposed. The procedure is based on the copuling of lagrangian massless particles and the standard Level-Set methodology, and the use of evolution equations for fundamental vector and tensor quantities related to the geometrical properties of the interface Γ. In particular, the normal vector n and the second fundamental tensor ∇n are linked to the particles and advected with them; in this way, the particles can be located upon Γ and enable a step–by–step calculation of the Level–Set function φ through a direct solution of the eikonal equation. No transport equation and reinitialization procedure for φ have to be taken into account and the usual numerical diffusion affecting the Level–Set approach is removed. The method is easy to code and carries out an accurate reconstruction of the front, limited only by the spatial resolution of the mesh.


2007 ◽  
Vol 75 (1) ◽  
Author(s):  
Michaël Delqué ◽  
Gil Fanjoux ◽  
Thibaut Sylvestre

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