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Chemical structure elucidation is a serious bottleneck in analytical chemistry today. We address the problem of identifying an unknown chemical threat given its mass spectrum and its chemical formula, a task which might take well trained…

The chemical master equation (CME), which describes the discrete and stochastic molecule number dynamics associated with biological processes like transcription, is difficult to solve analytically. It is particularly hard to solve for…

Subcellular Processes · Quantitative Biology 2021-03-23 John J. Vastola , Gennady Gorin , Lior Pachter , William R. Holmes

Computer-driven molecular design combines the principles of chemistry, physics, and artificial intelligence to identify novel chemical compounds and materials with desired properties for a specific application. In particular,…

Chemical Physics · Physics 2023-09-04 Alessio Fallani , Leonardo Medrano Sandonas , Alexandre Tkatchenko

A quantitative characterization of the relationship between molecular sequence and structure is essential to improve our understanding of how function emerges. This particular genotype-phenotype map has been often studied in the context of…

Populations and Evolution · Quantitative Biology 2017-04-20 José A. Cuesta , Susanna Manrubia

Structural quantities such as order parameters and correlation functions are often employed to gain insight into the physical behavior and properties of condensed matter systems. While standard quantities for characterizing structure exist,…

Soft Condensed Matter · Physics 2017-08-23 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

Designing RNA molecules has garnered recent interest in medicine, synthetic biology, biotechnology and bioinformatics since many functional RNA molecules were shown to be involved in regulatory processes for transcription, epigenetics and…

Machine Learning · Computer Science 2019-04-15 Frederic Runge , Danny Stoll , Stefan Falkner , Frank Hutter

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

Methodology · Statistics 2026-02-24 Shanshan Liu , Guoqing Diao

Background: Since the invention of next-generation RNA sequencing (RNA-seq) technologies, they have become a powerful tool to study the presence and quantity of RNA molecules in biological samples and have revolutionized transcriptomic…

Genomics · Quantitative Biology 2021-12-01 Wei Vivian Li , Jingyi Jessica Li

Nuclear Magnetic Resonance (NMR) spectroscopy is particularly well-suited to determine the structure of molecules and materials in powdered form. Structure determination usually proceeds by finding the best match between experimentally…

Non-coding RNAs are ubiquitous, but the discovery of new RNA gene sequences far outpaces research on their structure and functional interactions. We mine the evolutionary sequence record to derive precise information about function and…

Biomolecules · Quantitative Biology 2016-04-22 Caleb Weinreb , Adam J. Riesselman , John B. Ingraham , Torsten Gross , Chris Sander , Debora S. Marks

Our work is concerned with the generation and targeted design of RNA, a type of genetic macromolecule that can adopt complex structures which influence their cellular activities and functions. The design of large scale and complex…

Biomolecules · Quantitative Biology 2021-02-02 Zichao Yan , William L. Hamilton , Mathieu Blanchette

Structural prediction has long been considered critical in RNA research, especially following the success of AlphaFold2 in protein studies, which has drawn significant attention to the field. While recent advances in machine learning and…

Biomolecules · Quantitative Biology 2024-09-26 Jiaxing Yang

This contribution focuses on the fascinating RNA molecule, its sequence-dependent folding driven by base-pairing interactions, the interplay between these interactions and natural evolution, and its multiple regulatory roles. The four of us…

Statistical Mechanics · Physics 2022-07-28 Simona Cocco , Andrea De Martino , Andrea Pagnani , Martin Weigt

The task of RNA design given a target structure aims to find a sequence that can fold into that structure. It is a computationally hard problem where some version(s) have been proven to be NP-hard. As a result, heuristic methods such as…

Biomolecules · Quantitative Biology 2024-12-13 Wei Yu Tang , Ning Dai , Tianshuo Zhou , David H. Mathews , Liang Huang

In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, and variation occurs only along unconstrained bonds and…

Methodology · Statistics 2025-02-25 Kanti V. Mardia , Benjamin Eltzner , Stephan F. Huckemann

Given a random RNA secondary structure, $S$, we study RNA sequences having fixed ratios of nuclotides that are compatible with $S$. We perform this analysis for RNA secondary structures subject to various base pairing rules and minimum arc-…

Combinatorics · Mathematics 2016-03-14 Christopher L. Barrett , Thomas J. X. Li , Christian M. Reidys

Existing state-of-the-art methods that take a single RNA sequence and predict the corresponding RNA secondary-structure are thermodynamic methods. These predict the most stable RNA structure, but do not consider the process of structure…

Biomolecules · Quantitative Biology 2012-07-26 Jeff R. Proctor , Irmtraud M. Meyer

Many computerized methods for RNA-RNA interaction structure prediction have been developed. Recently, $O(N^6)$ time and $O(N^4)$ space dynamic programming algorithms have become available that compute the partition function of RNA-RNA…

Mathematical Physics · Physics 2010-07-15 Andrew X. Li , Manja Marz , Jing Qin , Christian M. Reidys

High-throughput RNA-sequencing (RNA-seq) technologies are powerful tools for understanding cellular state. Often it is of interest to quantify and summarize changes in cell state that occur between experimental or biological conditions.…

Methodology · Statistics 2021-02-16 Andrew Jones , F. William Townes , Didong Li , Barbara E. Engelhardt

The newly developed deep-sequencing technologies make it possible to acquire both quantitative and qualitative information regarding transcript biology. By measuring messenger RNA levels for all genes in a sample, RNA-seq provides an…

Genomics · Quantitative Biology 2014-12-05 Lerong Li , Momiao Xiong