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Mutational robustness quantifies the effect of random mutations on fitness. When mutational robustness is high, most mutations do not change fitness or have only a minor effect on it. From the point of view of fitness landscapes, robust…

Populations and Evolution · Quantitative Biology 2019-10-22 Alexander Klug , Su-Chan Park , Joachim Krug

We present a model to describe the concentration-dependent growth of protein filaments. Our model contains two states, a low entropy/high affinity ordered state and a high entropy/low affinity disordered state. Consistent with experiments,…

Soft Condensed Matter · Physics 2024-08-16 Sk Ashif Akram , Tyler Brown , Stephen Whitelam , Georg Meisl , Tuomas P. J. Knowles , Jeremy D. Schmit

Cells are able to generate phenotypic diversity both during development and in response to stressful and changing environments, aiding survival. The biologically and medically vital process of a cell assuming a functionally important fate…

Cell Behavior · Quantitative Biology 2019-12-16 Ryan Kerr , Sara Jabbari , Iain G. Johnston

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

Robustness and sensitivity of responses generated by cell signaling networks has been associated with survival and evolvability of organisms. However, existing methods analyzing robustness and sensitivity of signaling networks ignore the…

Quantitative Methods · Quantitative Biology 2013-10-31 Sayak Mukherjee , Sang-Cheol Seok , Veronica J. Vieland , Jayajit Das

Biological molecular machines are proteins that operate under isothermal conditions hence are referred to as free energy transducers. They can be formally considered as enzymes that simultaneously catalyze two chemical reactions: the free…

Biological Physics · Physics 2014-02-05 Michal Kurzynski , Mieczyslaw Torchala , Przemyslaw Chelminiak

Embryonic development is driven by spatial patterns of gene expression that determine the fate of each cell in the embryo. While gene expression is often highly erratic, embryonic development is usually exceedingly precise. In particular,…

Molecular Networks · Quantitative Biology 2015-06-11 Thomas R. Sokolowski , Thorsten Erdmann , Pieter Rein ten Wolde

Plants at high population density compete for light, showing a series of physiological responses known as the shade avoidance syndrome. These responses are controlled by the synthesis of the hormone auxin, which is regulated by two signals,…

Other Quantitative Biology · Quantitative Biology 2010-02-09 A. Veglio

We introduce a pioneering methodology for boosting large language models in the domain of protein representation learning. Our primary contribution lies in the refinement process for correlating the over-reliance on co-evolution knowledge,…

Artificial Intelligence · Computer Science 2024-12-05 Yaoyao Xu , Xinjian Zhao , Xiaozhuang Song , Benyou Wang , Tianshu Yu

Proteins evolve through complex sequence spaces, with fitness landscapes serving as a conceptual framework that links sequence to function. Fitness landscapes can be smooth, where multiple similarly accessible evolutionary paths are…

Populations and Evolution · Quantitative Biology 2024-11-21 Mahakaran Sandhu , John Chen , Dana Matthews , Matthew A Spence , Sacha B Pulsford , Barnabas Gall , James Nichols , Nobuhiko Tokuriki , Colin J Jackson

Data in biology is redundant, noisy, and sparse. How does the type and scale of available data impact model performance? In this work, we specifically investigate how protein language models (pLMs) scale with increasing pretraining data. We…

Quantitative Methods · Quantitative Biology 2025-07-31 Aviv Spinner , Erika DeBenedictis , Corey M. Hudson

Proteins are macromolecules that mediate a significant fraction of the cellular processes that underlie life. An important task in bioengineering is designing proteins with specific 3D structures and chemical properties which enable…

Quantitative Methods · Quantitative Biology 2022-05-31 Namrata Anand , Tudor Achim

We study a class of evolution models, where the breeding process involves an arbitrary exchangeable process, allowing for mutations to appear. The population size $n$ is fixed, hence after breeding, selection is applied. Individuals are…

Probability · Mathematics 2022-05-03 Daniela Bertacchi , Juri Lember , Fabio Zucca

Understanding the principles of protein folding is a cornerstone of computational biology, with implications for drug design, bioengineering, and the understanding of fundamental biological processes. Lattice protein folding models offer a…

Disordered Systems and Neural Networks · Physics 2025-08-08 Shoummo Ahsan Khandoker , Estelle M. Inack , Mohamed Hibat-Allah

Proliferating cell populations at steady state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest. Here we address the problem by…

Populations and Evolution · Quantitative Biology 2008-07-24 Tamar Friedlander , Naama Brenner

Evolution depends on the possibility of successfully exploring fitness landscapes via mutation and recombination. With these search procedures, exploration is difficult in "rugged" fitness landscapes, where small mutations can drastically…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Carlos Gershenson , Stuart A. Kauffman , Ilya Shmulevich

In contrast to their remarkable performance on general knowledge QA, the true abilities of Large Language Models (LLMs) in tasks demanding deep, specialized reasoning, such as in protein biology, have yet to be thoroughly investigated.…

Quantitative Methods · Quantitative Biology 2025-12-30 Dingyi Rong , Zijian Chen , Qi Jia , Kaiwei Zhang , Haotian Lu , Guangtao Zhai , Ning Liu

A key goal of systems biology is the predictive mathematical description of gene regulatory circuits. Different approaches are used such as deterministic and stochastic models, models that describe cell growth and division explicitly or…

Molecular Networks · Quantitative Biology 2012-10-12 Rahul Marathe , Veronika Bierbaum , David Gomez , Stefan Klumpp

A gene's rate of sequence evolution is among the most fundamental evolutionary quantities in common use, but what determines evolutionary rates has remained unclear. Here, we show that the two most commonly used methods to disentangle the…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Allan Drummond , Alpan Raval , Claus O. Wilke

Perturbing a Go model towards a realistic protein Hamiltonian by adding non-native interactions, we find that the folding rate is in general enhanced as ruggedness is initially increased, as long as the protein is sufficiently large and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Steven S. Plotkin