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In this work, we investigate a challenging problem, which has been considered to be an important criterion in designing codewords for DNA computing purposes, namely secondary structure avoidance in single-stranded DNA molecules. In short,…

Information Theory · Computer Science 2023-02-28 Tuan Thanh Nguyen , Kui Cai , Han Mao Kiah , Duc Tu Dao , Kees A. Schouhamer Immink

We propose a general method for optimally approximating an arbitrary matrix $\mathbf{M}$ by a structured matrix $\mathbf{T}$ (circulant, Toeplitz/Hankel, etc.) and examine its use for estimating the spectra of genomic linkage disequilibrium…

Applications · Statistics 2024-09-10 Chris Salahub , Jeffrey Uhlmann

Efficiently solving NP-complete problems-such as protein structure prediction, cryptographic decryption, and vulnerability detection-remains a central challenge in computer science. Traditional electronic computers, constrained by the…

Data Structures and Algorithms · Computer Science 2025-07-18 Jin Xu , XiaoLong Shi , Xin Chen , Fang Wang , Sirui Li , Pali Ye , Boliang Zhang , Di Deng , Zheng Kou , Xiaoli Qiang

Large language models (LLMs) show strong potential for neural architecture generation, yet existing approaches produce complete model implementations from scratch -- computationally expensive and yielding verbose code. We propose Delta-Code…

Machine Learning · Computer Science 2026-05-07 Santosh Premi Adhikari , Radu Timofte , Dmitry Ignatov

Lindenmayer systems (L-systems) are a formal grammar system, where the most notable feature is a set of rewriting rules that are used to replace every symbol in a string in parallel; by repeating this process, a sequence of strings is…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Jason Bernard , Ian McQuillan

We study algorithms for solving the problem of constructing a text (long string) from a dictionary (sequence of small strings). The problem has an application in bioinformatics and has a connection with the Sequence assembly method for…

Data Structures and Algorithms · Computer Science 2020-06-01 Kamil Khadiev , Vladislav Remidovskii

Recently, many generative models for de novo protein structure design have emerged. Yet, only few tackle the difficult task of directly generating fully atomistic structures jointly with the underlying amino acid sequence. This is…

Genomic (DNA) sequences encode an enormous amount of information for gene regulation and protein synthesis. Similar to natural language models, researchers have proposed foundation models in genomics to learn generalizable features from…

Biology stores information and computes at the molecular scale, yet the ways in which it does so are often distinct from human-engineered computers. Mapping biological computation onto architectures familiar to computer science remains an…

Biological Physics · Physics 2026-03-31 Jan Kocka , Kabir Husain , Jaime Agudo-Canalejo

DNA strings and their properties are widely studied since last 20 years due to its applications in DNA computing. In this area, one designs a set of DNA strings (called DNA code) which satisfies certain thermodynamic and combinatorial…

Information Theory · Computer Science 2025-10-03 Krishna Gopal Benerjee , Manish K Gupta

The advancement in generative AI could be boosted with more accessible mathematics. Beyond human-AI chat, large language models (LLMs) are emerging in programming, algorithm discovery, and theorem proving, yet their genomics application is…

Other Quantitative Biology · Quantitative Biology 2023-07-07 Melanie Swan , Takashi Kido , Eric Roland , Renato P. dos Santos

Nucleosomes organize the folding of DNA into chromatin and significantly influence transcription, replication, regulation and repair. All atom molecular dynamics simulations of a nucleosome and of its 146 basepairs of DNA free in solution…

Biomolecules · Quantitative Biology 2007-05-23 Thomas C. Bishop

In this paper, we consider the problem of designing DNA sequences (codewords) for DNA storage systems and DNA computing that are unlikely to fold back onto themselves to form undesirable secondary structures. The paper addresses both the…

Discrete Mathematics · Computer Science 2016-11-17 Olgica Milenkovic , Navin Kashyap

Molecular clock (MC) is a central concept of molecular evolution according to which each gene evolves at a characteristic, near constant rate. Numerous evolutionary studies have demonstrated the validity of MC but also have shown that MC is…

Populations and Evolution · Quantitative Biology 2015-06-04 Sagi Snir , Yuri I. Wolf , Eugene V. Koonin

Mitochondrial diseases are currently untreatable due to our limited understanding of their pathology. We study the expression of various mitochondrial proteins in skeletal myofibres (SM) in order to discover processes involved in…

Machine Learning · Computer Science 2022-11-01 Atif Khan , Conor Lawless , Amy E Vincent , Satish Pilla , Sushanth Ramesh , A. Stephen McGough

Previously, a seven-cluster pattern claiming to be a universal one in bacterial genomes has been reported. Keeping in mind the most popular theory of chloroplast origin, we checked whether a similar pattern is observed in chloroplast…

Genomics · Quantitative Biology 2018-02-09 Michael Sadovsky , Maria Senashova , Andrew Malyshev

Large language models (LLMs) are changing the way researchers interact with code and data in scientific computing. While their ability to generate general-purpose code is well established, their effectiveness in producing scientifically…

Software Engineering · Computer Science 2026-05-25 Ethan Holbrook , Juan C. Verduzco , Alejandro Strachan

Over the past several years, DNA sequencing has emerged as one of the driving forces in life-sciences, paving the way for affordable and accurate whole genome sequencing. As genomes represent the entirety of an organism's hereditary…

Cryptography and Security · Computer Science 2015-02-17 Emiliano De Cristofaro

Generating protein sequences conditioned on protein structures is an impactful technique for protein engineering. When synthesizing engineered proteins, they are commonly translated into DNA and expressed in an organism such as yeast. One…

Machine Learning · Computer Science 2024-09-27 Hannes Stark , Umesh Padia , Julia Balla , Cameron Diao , George Church

Genome-to-genome comparisons require designating anchor points, which are given by Maximum Exact Matches (MEMs) between their sequences. For large genomes this is a challenging problem and the performance of existing solutions, even in…

Data Structures and Algorithms · Computer Science 2018-05-24 Szymon Grabowski , Wojciech Bieniecki