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We formulate the configurational partition function for dendrimers, taking explicit account of their conformations and segmental interactions. Two approximate schemes are presented, one based on the effective dendrimer-dendrimer…

Materials Science · Physics 2007-05-23 Alexandros G. Vanakaras , Demetri J. Photinos

We present a method for the evaluation of the interaction potential of an equilibrium classical system starting from the (partial) knowledge of its structure factor. The procedure is divided into two phases both of which are based on the…

Statistical Mechanics · Physics 2012-06-22 Marco D'Alessandro

Co-optimizing mRNA sequences for both codon optimality and secondary structure is crucial for producing stable and efficacious mRNA therapeutics. Codon optimization, which adjusts nucleotide sequences to enhance translational efficiency,…

Simple theoretical concepts and models have been helpful to understand the folding rates and routes of single-domain proteins. As reviewed in this article, a physical principle that appears to underly these models is loop closure.

Biomolecules · Quantitative Biology 2007-09-24 Thomas R. Weikl

It is shown that the two-part Minimum Description Length Principle can be used to discriminate among different models that can explain a given observed dataset. The description length is chosen to be the sum of the lengths of the message…

Astrophysics · Physics 2008-11-26 A. Asensio Ramos

When constructing models of the world, we aim for optimal compressions: models that include as few details as possible while remaining as accurate as possible. But which details -- or features measured in data -- should we choose to include…

Quantitative Methods · Quantitative Biology 2025-05-06 David P. Carcamo , Nicholas J. Weaver , Purushottam D. Dixit , Christopher W. Lynn

In this article is proposed the general approach to determination the character of the interaction between colloidal particles in a different liquid crystals. The main idea of this approach are in the presentation of the colloidal particle…

Soft Condensed Matter · Physics 2013-11-11 B. I. Lev

Constructing a quantum description of crystals from scattering experiments is of paramount importance to explain their macroscopic properties and to evaluate the pertinence of theoretical ab-initio models. While reconstruction methods of…

Materials Science · Physics 2019-04-19 Benjamin De Bruyne , Jean-Michel Gillet

To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-colonies, most models present interaction forces such as…

Cell Behavior · Quantitative Biology 2020-08-12 Marie Doumic , Sophie Hecht , Diane Peurichard

Binding and unbinding of ligands to specific sites of a macromolecule are one of the most elementary molecular interactions inside the cell that embody the computational processes of biological regulations. The interaction between…

Molecular Networks · Quantitative Biology 2011-11-10 Hidenori Kimura , Hiroyuki Okano , Reiko J. Tanaka

The origin and organizing principles of the genetic code remain fundamental puzzles in life science. The vanishingly low probability of the natural codon-to-amino acid mapping arising by chance has spurred the hypothesis that its structure…

Other Quantitative Biology · Quantitative Biology 2025-10-14 Yudam Seo , Tsvi Tlusty , Junghyo Jo

Antimicrobial protocols - using substances such as antibiotics or disinfectants - remain the preferred option for preventing the spread of pathogenic bacteria. However, bacteria can develop mechanisms to reduce their antimicrobial…

Populations and Evolution · Quantitative Biology 2026-02-17 Nerea Martínez-López , Niclas Nordholt , Frank Schreiber , Míriam R. García

The CPT theorem and the Weak Equivalence Principle are foundational principles on which the standard description of the fundamental interactions is based. The validity of such basic principles should be tested using the largest possible…

The effective DNA-DNA interaction force is calculated by computer simulations with explicit tetravalent counterions and monovalent salt. For overcharged DNA molecules, the interaction force shows a double-minimum structure. The positions…

Biomolecules · Quantitative Biology 2009-11-10 E. Allahyarov , G. Gompper , H. Löwen

Cell types are at the root of modern biology, and describing them is a core task of the Human Cell Atlas project. Surprisingly, there are no standards for reporting new cell types, leading to a gap between classes mentioned in biomedical…

Mixtures of bare atomic nuclei on a nearly uniform degenerate electron background are a realistic model of matter in the interior of white dwarfs. Despite tremendous progress in understanding their phase diagrams achieved mainly via…

Solar and Stellar Astrophysics · Physics 2025-04-17 D. A. Baiko

This article makes no claim to originality, other than, perhaps, the simple statement here called the {\it Abstract Maximum Principle}. Actually, the whole contents are strongly based on some H. Sussmann's and coauthors' papers, in which,…

Optimization and Control · Mathematics 2023-10-17 Monica Motta , Franco Rampazzo

Starting with the Brezis-Browder principle, we give stronger versions of many variational principles and minimal element theorems which appeared in the recent literature. Relationships among the elements of different sets of assumptions are…

Functional Analysis · Mathematics 2018-06-01 Andreas H Hamel , Constantin Zalinescu

A covariant meson-exchange model of the anti-kaon nucleon interaction within the framework of the Bethe-Salpeter equation is presented. With just one free parameter we are able to get a good description of the available experimental data…

Nuclear Theory · Physics 2007-05-23 A. D. Lahiff

We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an example we study a Klein-Gordon field interacting with a…

Mathematical Physics · Physics 2007-11-30 Marco Castrillon Lopez , Mark J. Gotay , Jerrold E. Marsden
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