A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>


2015 ◽  
Vol 34 (2) ◽  
pp. 87 ◽  
Author(s):  
Linh Ngoc Nguyen ◽  
Viola Weiss ◽  
Richard Cowan

A new class of non facet-to-facet random tessellations in three-dimensional space is introduced -- the so-called column tessellations. The spatial construction is based on a stationary planar tessellation; each cell of the spatial tessellation is a prism whose base facet is  congruent to a cell of the planar tessellation. Thus intensities, topological and metric mean values of the spatial tessellation can be calculated from suitably chosen parameters of the planar tessellation.


Author(s):  
Q. J. Ge ◽  
J. Rastegar ◽  
Carlos Pereira

This paper deals with the geometric issues that arise in designing a system for measuring the orientation of an object in three dimensional space using a new class of wireless angular position sensors. The wireless sensors are waveguides that receive and record the electromagnetic energy emitted by a polarized RF source. The angular position of the waveguide relative to the source is indicated by the energy level. A system equipped with multiple waveguides is used as a 3D orientation sensor. This paper explores the geometry for orientation measurement using the system and provides the guidelines for sensor design.


Author(s):  
Alexey Tolok ◽  
Nataliya Tolok

A new class of functions - "FLOZ- functions" (Functions of LOcal Zeroing out), which makes it possible to form the zero domain of a scalar-valued multidimensional function of complex configuration by means of R-functional modelling is considered. We represent the solution of the inverse problem of analytical geometry for a non-convex contour construction obtained by V.L. Rvachev’s mathematical apparatus of R-functions. The problems of constructing an algorithm for automation the proposed by V.L. Rvachev solutions are described. Presented arguments show the complexity of constructing an algorithm based on recursive attachment. The functional voxel model was created in the RANOK 2D system. An approach to the function of local zeroing out (FLOZ-function) construction for the general (multidimensional) case is described. A two-dimensional function of local zeroing out is selected for solving the problem of a non-convex contour constructing. It is shown that the function of local zeroing out allows to create the sequential algorithm of automation the non-convex contour construction. Examples of automation the considered problems of V.L. Rvachev to the non- convex contour construction are given. The function of local zeroing out for three-dimensional space (3D FLOZ-function) is considered. An example of functional voxel modelling of a 3D sphere model based on a triangulated network consisted of 80 triangles is given.


1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.


Author(s):  
Raimo Hartmann ◽  
Hannah Jeckel ◽  
Eric Jelli ◽  
Praveen K. Singh ◽  
Sanika Vaidya ◽  
...  

AbstractBiofilms are microbial communities that represent a highly abundant form of microbial life on Earth. Inside biofilms, phenotypic and genotypic variations occur in three-dimensional space and time; microscopy and quantitative image analysis are therefore crucial for elucidating their functions. Here, we present BiofilmQ—a comprehensive image cytometry software tool for the automated and high-throughput quantification, analysis and visualization of numerous biofilm-internal and whole-biofilm properties in three-dimensional space and time.


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