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A system of PDE describing bilayers amphiphilic membranes is studied by Lie group analysis. This algorithmic approach allows us to show all the symmetries of the system, to determine all possible symmetry reductions, to recover the…

Soft Condensed Matter · Physics 2017-08-23 Giovanni De Matteis

Interactions mediated by the cell membrane between inclusions, such as membrane proteins or antimicrobial peptides, play important roles in their biological activity. They also constitute a fascinating challenge for physicists, since they…

Biological Physics · Physics 2019-03-15 Anne-Florence Bitbol , Doru Constantin , Jean-Baptiste Fournier

Understanding the spatial architecture of the tumor microenvironment (TME) is critical to advance precision oncology. We present ProteinPNet, a novel framework based on prototypical part networks that discovers TME motifs from spatial…

Machine Learning · Computer Science 2025-12-03 Louis McConnell , Jieran Sun , Theo Maffei , Raphael Gottardo , Marianna Rapsomaniki

Continuing the discussion of the problem of electromagnetic properties of neutrinos, in this note we present additional information on this problem and focus on selected issues that have been developed recently, after the publication of our…

High Energy Physics - Phenomenology · Physics 2023-01-18 Alexander Studenikin

regulation largely unexplored, in part due to methodological limitations. Indeed, we review evidence demonstrating that commonly used methods, such as transcriptomics, are inadequate because the variability in mRNAs coding for ribosomal…

Quantitative Methods · Quantitative Biology 2020-09-01 Aleksandra A. Petelski , Nikolai Slavov

This short survey presents the essential features of what is called Painlev\'e analysis, i.e. the set of methods based on the singularities of differential equations in order to perform their explicit integration. Full details can be found…

Exactly Solvable and Integrable Systems · Physics 2015-10-27 Robert Conte , Micheline Musette

Biological functions stem from coordinated interactions among proteins, nucleic acids and small molecules. Mass spectrometry technologies for reliable, high throughput single-cell proteomics will add a new modality to genomics and enable…

Genomics · Quantitative Biology 2023-11-07 Andrew Leduc , Hannah Harens , Nikolai Slavov

The dielectric properties of proteins, particularly in their hydrated state, have been extensively studied. Numerous theoretical and experimental investigations have reported values of both the permittivity and the intrinsic dipole moments…

Applied Physics · Physics 2026-03-20 E. Alfinito , M. Beccaria

In this short review, I'll discuss the background, applicability and prospects of collinear factorization in quantum chromodynamics.

High Energy Physics - Phenomenology · Physics 2022-07-15 George Sterman

In this work we to develop a general statistical mechanic formalism to study systems restricted to surfaces of revolution, these are a very well model to study the termodinamical properties of microbiological systems and macromolecules lies…

Soft Condensed Matter · Physics 2013-08-27 J. L. Silva-Acosta , R. Juárez-Maldonado

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

This is a review article on Lorenz knots.

Geometric Topology · Mathematics 2012-01-04 Joan S. Birman

In this article, we discuss some properties of holomorphic fibrations in the complex analytic setting.

Algebraic Geometry · Mathematics 2025-04-22 Nobuhiro Honda , Jeff Viaclovsky

This article aims to: i) review the current membrane-based methods in REEs separation focusing on non-liquid membranes (imprinted, polymer inclusion, nanocomposite, metal-/covalent organic framework membranes), ii) present the…

The conformation and the phase diagram of a membrane protein are investigated via grand canonical ensemble approach using a homopolymer model. We discuss the nature and pathway of $\alpha$-helix integration into the membrane that results…

Soft Condensed Matter · Physics 2009-10-31 Pyeong Jun Park , W. Sung

This paper is devoted to a discussion of specific properties of invariants in the theory of forms.

Analysis of PDEs · Mathematics 2010-07-02 Mehdi Nadjafikhah , Parastoo Kabi-Nejad

Crystallography may be the gold standard of protein structure determination, but obtaining the necessary high-quality crystals is also in some ways akin to prospecting for the precious metal. The tools and models developed in soft matter…

Soft Condensed Matter · Physics 2016-02-10 Diana Fusco , Patrick Charbonneau

The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent studies have…

Statistical Mechanics · Physics 2007-05-23 Ricard V. Sole , Romualdo Pastor-Satorras , Eric Smith , Thomas B. Kepler

Mass spectrometry-based proteomics has become the tool of choice for identifying and quantifying the proteome of an organism. Though recent years have seen a tremendous improvement in instrument performance and the computational tools used,…

This paper is concentrated on the classification of permutation matrix with the permutation similarity relation, mainly about the canonical form of a permutational similar equivalence class, the cycle matrix decomposition of a permutation…

General Mathematics · Mathematics 2018-07-05 Wenwei Li
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