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Gene expression is significantly stochastic making modeling of genetic networks challenging. We present an approximation that allows the calculation of not only the mean and variance but also the distribution of protein numbers. We assume…

Molecular Networks · Quantitative Biology 2008-12-18 Vahid Shahrezaei , Peter S. Swain

Deep learning has transformed protein design, enabling accurate structure prediction, sequence optimization, and de novo protein generation. Advances in single-chain protein structure prediction via AlphaFold2, RoseTTAFold, ESMFold, and…

Machine Learning · Computer Science 2025-02-27 Gregory W. Kyro , Tianyin Qiu , Victor S. Batista

Generative modeling for protein engineering is key to solving fundamental problems in synthetic biology, medicine, and material science. We pose protein engineering as an unsupervised sequence generation problem in order to leverage the…

A reduced protein model with five to six atoms per amino acid and five amino acid types is developed and tested on a three-helix-bundle protein, a 46-amino acid fragment from staphylococcal protein A. The model does not rely on the widely…

Soft Condensed Matter · Physics 2007-05-23 Giorgio Favrin , Anders Irbäck , Stefan Wallin

Generative models in molecular design tend to be richly parameterized, data-hungry neural models, as they must create complex structured objects as outputs. Estimating such models from data may be challenging due to the lack of sufficient…

Machine Learning · Computer Science 2021-08-17 Kevin Yang , Wengong Jin , Kyle Swanson , Regina Barzilay , Tommi Jaakkola

The coding space of protein sequences is shaped by evolutionary constraints set by requirements of function and stability. We show that the coding space of a given protein family--the total number of sequences in that family--can be…

Biomolecules · Quantitative Biology 2020-11-20 Jacopo Marchi , Ezequiel A. Galpern , Rocio Espada , Diego U. Ferreiro , Aleksandra M. Walczak , Thierry Mora

We introduce a stochastic model describing aggregation of misfolded proteins and degradation by the protein quality control system in a single cell. In analogy with existing literature, aggregates can grow, nucleate and fragment…

Cell Behavior · Quantitative Biology 2012-07-06 Simone Pigolotti , Ludvig Lizana , Daniel Otzen , Kim Sneppen

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

Biomolecules · Quantitative Biology 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

We introduce a protein language model for determining the complete sequence of a peptide based on measurement of a limited set of amino acids. To date, protein sequencing relies on mass spectrometry, with some novel edman degregation based…

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

Advanced automated AI techniques allow us to classify protein sequences and discern their biological families and functions. Conventional approaches for classifying these protein families often focus on extracting N-Gram features from the…

Quantitative Methods · Quantitative Biology 2024-10-24 Bahar Ali , Anwar Shah , Malik Niaz , Musadaq Mansoord , Sami Ullah , Muhammad Adnan

The stability of model proteins with designed sequences is assessed in terms of the number of sequences (obtained from the designed sequence through mutations), which fold into 5the ``native'' conformation. By a complete enumeration of the…

Soft Condensed Matter · Physics 2009-10-31 R. A Broglia , G. Tiana , H. E. Roman , E. Vigezzi , E. I. Shakhnovich

Less than 1% of protein sequences are structurally and functionally annotated. Natural Language Processing (NLP) community has recently embraced self-supervised learning as a powerful approach to learn representations from unlabeled text,…

Biomolecules · Quantitative Biology 2020-12-08 Modestas Filipavicius , Matteo Manica , Joris Cadow , Maria Rodriguez Martinez

Computational protein design (CPD) refers to the use of computational methods to design proteins. Traditional methods relying on energy functions and heuristic algorithms for sequence design are inefficient and do not meet the demands of…

Machine Learning · Computer Science 2024-10-30 Xiaoqi Ling , Cheng Cai , Demin Kong , Zhisheng Wei , Jing Wu , Lei Wang , Zhaohong Deng

The biological functions of proteins often depend on dynamic structural ensembles. In this work, we develop a flow-based generative modeling approach for learning and sampling the conformational landscapes of proteins. We repurpose highly…

Biomolecules · Quantitative Biology 2024-09-04 Bowen Jing , Bonnie Berger , Tommi Jaakkola

The field of protein folding research has been greatly advanced by deep learning methods, with AlphaFold2 (AF2) demonstrating exceptional performance and atomic-level precision. As co-evolution is integral to protein structure prediction,…

Quantitative Methods · Quantitative Biology 2023-06-06 Le Zhang , Jiayang Chen , Tao Shen , Yu Li , Siqi Sun

Stochasticity in gene expression gives rise to fluctuations in protein levels across a population of genetically identical cells. Such fluctuations can lead to phenotypic variation in clonal populations, hence there is considerable interest…

Molecular Networks · Quantitative Biology 2015-06-15 Hodjat Pendar , Thierry Platini , Rahul V. Kulkarni

This paper investigates the stochastic fluctuations of the number of copies of a given protein in a cell. This problem has already been addressed in the past and closed-form expressions of the mean and variance have been obtained for a…

Quantitative Methods · Quantitative Biology 2012-06-05 Vincent Fromion , Emanuele Leoncini , Philippe Robert

Multi-modality pre-training paradigm that aligns protein sequences and biological descriptions has learned general protein representations and achieved promising performance in various downstream applications. However, these works were…

Machine Learning · Computer Science 2024-12-31 Hanjing Zhou , Mingze Yin , Wei Wu , Mingyang Li , Kun Fu , Jintai Chen , Jian Wu , Zheng Wang

Many of the existing stochastic models of gene expression contain the first-order decay reaction term that may describe active protein degradation or dilution. If the model variable is interpreted as the molecule number, and not…

Biological Physics · Physics 2019-05-22 Jakub Jędrak , Maciej Kwiatkowski , Anna Ochab-Marcinek