Oriented conformal geometric algebra and the molecular distance geometry problem
The problem of 3D protein structure determination using distance information from nuclear
magnetic resonance (NMR) experiments is a classical problem in distance geometry. NMR …
magnetic resonance (NMR) experiments is a classical problem in distance geometry. NMR …
A Probabilistic Approach in the Search Space of the Molecular Distance Geometry Problem
RS Marques, M Souza, F Batista… - Journal of Chemical …, 2024 - ACS Publications
The discovery of the three-dimensional shape of protein molecules using interatomic
distance information from nuclear magnetic resonance (NMR) can be modeled as a …
distance information from nuclear magnetic resonance (NMR) can be modeled as a …
Linear and geometric algebra approaches for sphere and spherical shell intersections in Rn
Many practical problems involve sphere intersections. Examples include but are not limited
to estimations using the Global Positioning System (GPS), data science applications and 3D …
to estimations using the Global Positioning System (GPS), data science applications and 3D …
On the polynomiality of finding KDMDGP re-orders
On the polynomiality of finding KDMDGP re-orders - ScienceDirect Skip to main contentSkip to
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[HTML][HTML] On the estimation of unknown distances for a class of Euclidean distance matrix completion problems with interval data
ADB Sánchez, C Lavor - Linear Algebra and its Applications, 2020 - Elsevier
We consider some Euclidean distance matrix completion problems whose structure is
inspired by molecular conformation problems. Some matrix distances are given precisely or …
inspired by molecular conformation problems. Some matrix distances are given precisely or …
A quantum approach to the discretizable molecular distance geometry problem
C Lavor, F Marquezino, A Oliveira… - Quantum Information …, 2022 - Springer
Abstract The Discretizable Molecular Distance Geometry Problem (DMDGP) aims to
determine the three-dimensional protein structure using distance information from nuclear …
determine the three-dimensional protein structure using distance information from nuclear …
Distance geometry and protein loop modeling
Due to the role of loops in protein function, loop modeling is an important problem in
computational biology. We present a new approach to loop modeling based on a …
computational biology. We present a new approach to loop modeling based on a …
A New Algorithm for the DMDGP Subclass of Distance Geometry Problems with Exact Distances
The fundamental inverse problem in distance geometry is the one of finding positions from
inter-point distances. The Discretizable Molecular Distance Geometry Problem (DMDGP) is …
inter-point distances. The Discretizable Molecular Distance Geometry Problem (DMDGP) is …
Algorithm for distance list extraction from pair distribution functions
An algorithm is presented to extract the distance list from atomic pair distribution functions in
a highly automated way. The algorithm is constructed via curve fitting based on a Debye …
a highly automated way. The algorithm is constructed via curve fitting based on a Debye …
Unassigned distance geometry and molecular conformation problems
Abstract 3D protein structures and nanostructures can be obtained by exploiting distance
information provided by experimental techniques, such as nuclear magnetic resonance and …
information provided by experimental techniques, such as nuclear magnetic resonance and …