A combinatorial method for constructing libraries of long peptides displayed by filamentous phage

1995 ◽  
Vol 1 (1) ◽  
pp. 39-52 ◽  
Author(s):  
Tapio Haaparanta ◽  
William D. Huse
2020 ◽  
Vol 8 (1) ◽  
pp. 89-101
Author(s):  
Carlile Lavor ◽  
Rafael Alves ◽  
Michael Souza ◽  
Luis Aragón José

AbstractNuclear Magnetic Resonance (NMR) experiments can be used to calculate 3D protein structures and geometric properties of protein molecules allow us to solve the problem iteratively using a combinatorial method, called Branch-and-Prune (BP). The main step of BP algorithm is to intersect three spheres centered at the positions for atoms i − 3, i − 2, i − 1, with radii given by the atomic distances di−3,i, di−2,i, di−1,i, respectively, to obtain the position for atom i. Because of uncertainty in NMR data, some of the distances di−3,i should be represented as interval distances [{\underline{d}_{i - 3,i}},{\bar d_{i - 3,i}}], where {\underline{d}_{i - 3,i}} \le {d_{i - 3,i}} \le {\bar d_{i - 3,i}}. In the literature, an extension of the BP algorithm was proposed to deal with interval distances, where the idea is to sample values from [{\underline{d}_{i - 3,i}},{\bar d_{i - 3,i}}]. We present a new method, based on conformal geometric algebra, to reduce the size of [{\underline{d}_{i - 3,i}},{\bar d_{i - 3,i}}], before the sampling process. We also compare it with another approach proposed in the literature.


1992 ◽  
Vol 267 (23) ◽  
pp. 16007-16010
Author(s):  
J.D. Marks ◽  
H.R. Hoogenboom ◽  
A.D. Griffiths ◽  
G Winter

1999 ◽  
Vol 225 (1-2) ◽  
pp. 171-178 ◽  
Author(s):  
Yum L Yip ◽  
Nicholas J Hawkins ◽  
Glenn Smith ◽  
Robyn L Ward
Keyword(s):  

PLoS ONE ◽  
2011 ◽  
Vol 6 (2) ◽  
pp. e17433 ◽  
Author(s):  
Geir Åge Løset ◽  
Norbert Roos ◽  
Bjarne Bogen ◽  
Inger Sandlie

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