A Local-Global Commutative Preserving Functional Map for Shape Correspondence

2021 ◽  
Author(s):  
Qianxing Li ◽  
Shaofan Wang ◽  
Dehui Kong ◽  
Baocai Yin
2021 ◽  
Vol 22 (12) ◽  
pp. 6508
Author(s):  
Arathi Nair ◽  
Katharina F. Kubatzky ◽  
Bhaskar Saha

The central protein in the oncogenic circuitry is the Ras GTPase that has been under intense scrutiny for the last four decades. From its discovery as a viral oncogene and its non–oncogenic contribution to crucial cellular functioning, an elaborate genetic, structural, and functional map of Ras is being created for its therapeutic targeting. Despite decades of research, there still exist lacunae in our understanding of Ras. The complexity of the Ras functioning is further exemplified by the fact that the three canonical Ras genes encode for four protein isoforms (H-Ras, K-Ras4A, K-Ras4B, and N-Ras). Contrary to the initial assessment that the H-, K-, and N-Ras isoforms are functionally similar, emerging data are uncovering crucial differences between them. These Ras isoforms exhibit not only cell–type and context-dependent functions but also activator and effector specificities on activation by the same receptor. Preferential localization of H-, K-, and N-Ras in different microdomains of the plasma membrane and cellular organelles like Golgi, endoplasmic reticulum, mitochondria, and endosome adds a new dimension to isoform-specific signaling and diverse functions. Herein, we review isoform-specific properties of Ras GTPase and highlight the importance of considering these towards generating effective isoform-specific therapies in the future.


2008 ◽  
Vol 27 (5) ◽  
pp. 1431-1439 ◽  
Author(s):  
H. Zhang ◽  
A. Sheffer ◽  
D. Cohen-Or ◽  
Q. Zhou ◽  
O. van Kaick ◽  
...  
Keyword(s):  

2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Tao Liao ◽  
Hao-Chih Lee ◽  
Ge Yang ◽  
Yongjie Jessica Zhang

AbstractThe functionality of biomolecules depends on their flexible structures, which can be characterized by their surface shapes. Tracking the deformation and comparing biomolecular shapes are essential in understanding their mechanisms. In this paper, a new spectral shape correspondence analysis method is introduced for biomolecules based on volumetric eigenfunctions. The eigenfunctions are computed from the joint graph of two given shapes, avoiding the sign flipping and confusion in the order of modes. An initial correspondence is built based on the distribution of a shape diameter, which matches similar surface features in different shapes and guides the eigenfunction computation. A two-step scheme is developed to determine the final correspondence. The first step utilizes volumetric eigenfunctions to correct the assignment of boundary nodes that disobeys the main structures. The second step minimizes the distortion induced by deforming one shape to the other. As a result, a dense point correspondence is constructed between the two given shapes, based on which we approximate and predict the shape deformation, as well as quantitatively measure the detailed shape differences.


2018 ◽  
Vol 38 (1) ◽  
pp. 7-20 ◽  
Author(s):  
Yanir Kleiman ◽  
Maks Ovsjanikov
Keyword(s):  

Author(s):  
Pahal Dalal ◽  
Song Wang

Shape correspondence, which aims at accurately identifying corresponding landmarks from a given population of shape instances, is a very challenging step in constructing a statistical shape model such as the Point Distribution Model. Many shape correspondence methods are primarily focused on closed-surface shape correspondence. The authors of this chapter discuss the 3D Landmark Sliding method of shape correspondence, which is able to identify accurately corresponding landmarks on 3D closed-surfaces and open-surfaces (Dalal 2007, 2009). In particular, they introduce a shape correspondence measure based on Thin-plate splines and the concept of explicit topology consistency on the identified landmarks to ensure that they form a simple, consistent triangle mesh to more accurately model the correspondence of the underlying continuous shape instances. The authors also discuss issues such as correspondence of boundary landmarks for open-surface shapes and different strategies to obtain an initial estimate of correspondence before performing landmark sliding.


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