Recent advances on the interval distance geometry problem

DS Gonçalves, A Mucherino, C Lavor… - Journal of Global …, 2017 - Springer
We discuss a discretization-based solution approach for a classic problem in global
optimization, namely the distance geometry problem (DGP). We focus our attention on a …

[图书][B] Euclidean distance geometry

L Liberti, C Lavor - 2017 - Springer
What do clocks, wireless devices, atoms, and submarines have in common? They move: the
clocks move time forward (so to speak), wireless devices usually move on a plane (like an …

[HTML][HTML] Minimal NMR distance information for rigidity of protein graphs

C Lavor, L Liberti, B Donald, B Worley… - Discrete Applied …, 2019 - Elsevier
Abstract Nuclear Magnetic Resonance (NMR) experiments provide distances between
nearby atoms of a protein molecule. The corresponding structure determination problem is …

Clifford algebra and the discretizable molecular distance geometry problem

C Lavor, R Alves, W Figueiredo, A Petraglia… - Advances in Applied …, 2015 - Springer
Abstract Nuclear Magnetic Resonance experiments can provide distances between pairs of
atoms of a protein that are close enough and the problem is how to determine the 3D protein …

Assigned and unassigned distance geometry: applications to biological molecules and nanostructures

SJL Billinge, PM Duxbury, DS Gonçalves, C Lavor… - 4OR, 2016 - Springer
Considering geometry based on the concept of distance, the results found by Menger and
Blumenthal originated a body of knowledge called distance geometry. This survey covers …

Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures

SJL Billinge, PM Duxbury, DS Gonçalves… - Annals of Operations …, 2018 - Springer
In the 2 years since our last 4OR review of distance geometry methods with applications to
proteins and nanostructures, there has been rapid progress in treating uncertainties in the …

Oriented conformal geometric algebra and the molecular distance geometry problem

C Lavor, R Alves - Advances in Applied Clifford Algebras, 2019 - Springer
The problem of 3D protein structure determination using distance information from nuclear
magnetic resonance (NMR) experiments is a classical problem in distance geometry. NMR …

Clifford algebra and discretizable distance geometry

R Alves, C Lavor, C Souza… - Mathematical Methods in …, 2018 - Wiley Online Library
Protein structure calculations using nuclear magnetic resonance (NMR) experiments are
one of the most important applications of distance geometry. The chemistry of proteins and …

[图书][B] An introduction to distance geometry applied to molecular geometry

C Lavor, L Liberti, WA Lodwick, TM da Costa - 2017 - Springer
Distance geometry (DG) is a distinct mathematical research area which includes
mathematics and computer science as fundamental components. The fundamental problem …

A note on computing the intersection of spheres in

DS Maioli, C Lavor, DS Gonçalves - The ANZIAM Journal, 2017 - cambridge.org
A NOTE ON COMPUTING THE INTERSECTION OF SPHERES IN Rn Page 1 ANZIAM J. 59(2017),
271–279 doi:10.1017/S1446181117000372 A NOTE ON COMPUTING THE INTERSECTION …