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Factorial moments are convenient tools in particle physics to characterize the multiplicity distributions when phase-space resolution ($\Delta$) becomes small. They include all correlations within the system of particles and represent…

Statistical Finance · Quantitative Finance 2011-08-31 Laurent Schoeffel

MOTIVATION: Proteins fold into complex structures that are crucial for their biological functions. Experimental determination of protein structures is costly and therefore limited to a small fraction of all known proteins. Hence, different…

Biomolecules · Quantitative Biology 2018-04-18 David Menéndez Hurtado , Karolis Uziela , Arne Elofsson

Understanding complex biological macromolecules, especially proteins, is vital for grasping their diverse chemical functions with direct impact in biology and pharmacology. While techniques like X-ray crystallography and cryo-electron…

Biomolecules · Quantitative Biology 2024-04-12 S. H. Mejias , A. L. Cortajarena , R. Mincigrucci , C. Svetina , C. Masciovecchio

Protein representation and potential function are essential ingredients for studying proteins folding and protein prediction. We introduce a novel geometric representation of contact interactions using the edge simplices from alpha shape of…

Biological Physics · Physics 2007-05-23 Xiang Li , Changyu Hu , Jie Liang

AlphaFold2 (AF2) has transformed protein structure prediction by harnessing co-evolutionary constraints embedded in multiple sequence alignments (MSAs). MSAs not only encode static structural information, but also hold critical details…

Biomolecules · Quantitative Biology 2025-03-04 Enming Xing , Junjie Zhang , Shen Wang , Xiaolin Cheng

Evolution in its course found a variety of solutions to the same optimisation problem. The advent of high-throughput genomic sequencing has made available extensive data from which, in principle, one can infer the underlying structure on…

Quantitative Methods · Quantitative Biology 2016-04-12 Silvia Grigolon , Silvio Franz , Matteo Marsili

Hybridization between species is an important mechanism for the origin of novel lineages and adaptation to new environments. Increased allelic variation and modification of the transcriptional network are the two recognized forces currently…

Genomics · Quantitative Biology 2013-10-24 Elzbieta M. Piatkowska , David Knight , Daniela Delneri

Proteins are sequences of amino acids that serve as the basic building blocks of living organisms. Despite rapidly growing databases documenting structural and functional information for various protein sequences, our understanding of…

Biomolecules · Quantitative Biology 2025-01-06 Weihang Dai

The classical evolution equations of the Abelian Higgs model are studied at temperatures below the Ginsburg temperature of a phase transition which is assumed to be second order. It is shown that the initial thermal fluctuations provide a…

High Energy Physics - Phenomenology · Physics 2010-11-01 Robert H. Brandenberger , Anne-Christine Davis

The growing interest for comparing protein internal dynamics owes much to the realization that protein function can be accompanied or assisted by structural fluctuations and conformational changes. Analogously to the case of functional…

Biomolecules · Quantitative Biology 2012-12-19 C. Micheletti

Feature selection is one of the most challenging issues in machine learning, especially while working with high dimensional data. In this paper, we address the problem of feature selection and propose a new approach called Evolving Fast and…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Uzay Cetin , Yunus Emre Gundogmus

Lymphocyte selection is a fundamental operation of adaptive immunity. In order to produce B-lymphocytes with a desired antigenic profile, a process of mutation-selection occurs in the germinal center, which is part of the lymph nodes. We…

Analysis of PDEs · Mathematics 2015-01-28 Vuk Milisic , Gilles Wainrib

Spatial organization of proteins in cells is important for many biological functions. In general, the nonlinear, spatially coupled models for protein-pattern formation are only accessible to numerical simulations, which has limited insight…

Pattern Formation and Solitons · Physics 2021-04-16 Fridtjof Brauns , Jacob Halatek , Erwin Frey

The concept of (auto)catalytic systems has become a cornerstone in understanding evolutionary processes in various fields. The common ground is the observation that for the production of new species/goods/ideas/elements etc. the…

Populations and Evolution · Quantitative Biology 2009-11-13 Rudolf Hanel , Peter Klimek , Stefan Thurner

We introduce a simple "patchy particle" model to study the thermodynamics and dynamics of self-assembly of homomeric protein complexes. Our calculations allow us to rationalize recent results for dihedral complexes. Namely, why evolution of…

This paper presents a two-phase protein folding optimization on a three-dimensional AB off-lattice model. The first phase is responsible for forming conformations with a good hydrophobic core or a set of compact hydrophobic amino acid…

Neural and Evolutionary Computing · Computer Science 2020-06-30 Borko Bošković , Janez Brest

Phi-values are experimental measures of the effects of mutations on the folding kinetics of a protein. A central question is which structural information Phi-values contain about the transition state of folding. Traditionally, a Phi-value…

Biomolecules · Quantitative Biology 2007-05-23 Thomas R. Weikl , Ken A. Dill

The effect of bias on hypothesis formation is characterized for an automated data-driven projection pursuit neural network to extract and select features for binary classification of data streams. This intelligent exploratory process…

Machine Learning · Computer Science 2022-01-05 John Patterson , Chris Avery , Tyler Grear , Donald J. Jacobs

Current-day genomes bear the mark of the evolutionary processes. One of the strongest indications is the sequence homology among families of proteins that perform similar biological functions in different species. The number of proteins in…

Biological Physics · Physics 2007-05-23 Joel S. Bader

Transformer architectures have proven to learn useful representations for protein classification and generation tasks. However, these representations present challenges in interpretability. In this work, we demonstrate a set of methods for…

Computation and Language · Computer Science 2021-03-30 Jesse Vig , Ali Madani , Lav R. Varshney , Caiming Xiong , Richard Socher , Nazneen Fatema Rajani
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