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Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

The connection between optimal biological function and energy use, measured for example by the rate of metabolite consumption, is a current topic of interest in the systems biology literature which has been explored in several different…

Molecular Networks · Quantitative Biology 2014-12-30 John P. Barton , Eduardo D. Sontag

Molecular dynamics (MD) simulations allow investigating the structural dynamics of biomolecular systems with unrivaled time and space resolution. However, in order to compensate for the inaccuracies of the utilized empirical force fields,…

Computational Physics · Physics 2018-02-12 Andrea Cesari , Sabine Reißer , Giovanni Bussi

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

The ubiquity of modules in biological networks may result from an evolutionary benefit of a modular organization. For instance, modularity may increase the rate of adaptive evolution, because modules can be easily combined into new…

Molecular Networks · Quantitative Biology 2011-08-26 Areejit Samal , Andreas Wagner , Olivier C. Martin

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

Optimization and Control · Mathematics 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira

Hydrogen's role is growing as an energy carrier, increasing the need for efficient production, with methane steam reforming being the most widely used technique. This process is crucial for applications like fuel cells, where hydrogen is…

Computational Engineering, Finance, and Science · Computer Science 2025-09-16 Zofia Pizoń , Shinji Kimijima , Grzegorz Brus

A classic problem in metabolism is that fast-proliferating cells use seemingly wasteful fermentation for energy biogenesis in the presence of sufficient oxygen. This counterintuitive phenomenon, known as overflow metabolism or the Warburg…

Biological Physics · Physics 2025-06-18 Xin Wang

High-throughput experimental techniques and bioinformatics tools make it possible to obtain reconstructions of the metabolism of microbial species. Combined with mathematical frameworks such as flux balance analysis, which assumes that…

Agent-based modeling (ABM) is a powerful computational approach for studying complex biological and biomedical systems, yet its widespread use remains limited by significant computational demands. As models become increasingly…

Quantitative Methods · Quantitative Biology 2025-04-17 Kerri-Ann Norton , Daniel Bergman , Harsh Vardhan Jain , Trachette Jackson

Existing deep learning-based surrogate models facilitate efficient data generation, but fall short in uncertainty quantification, efficient parameter space exploration, and reverse prediction. In our work, we introduce SurroFlow, a novel…

Machine Learning · Computer Science 2024-07-19 Jingyi Shen , Yuhan Duan , Han-Wei Shen

The ability of eukaryotic cells to squeeze through constrictions is limited by the stiffness of their large and rigid nucleus. However, migrating cells are often able to overcome this limitation and pass through constrictions much smaller…

Biological Physics · Physics 2023-12-20 Sirine Amiri , Yirui Zhang , Andonis Gerardos , Cécile Sykes , Pierre Ronceray

Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is the cell cycle regulation. The machinery of the cell cycle,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Vincent Noël , Sergey Vakulenko , Ovidiu Radulescu

We present a procedure for enhanced sampling of molecular dynamics simulations through informed stochastic resetting. Many phenomena, such as protein folding and crystal nucleation, occur over time scales that are inaccessible in standard…

Stochastic kinetic models (SKMs) are increasingly used to account for the inherent stochasticity exhibited by interacting populations of species in areas such as epidemiology, population ecology and systems biology. Species numbers are…

Computation · Statistics 2023-04-06 Tom E. Lowe , Andrew Golightly , Chris Sherlock

Computation of biological processes creates great promise for everyday life and great challenges for physical scientists. Simulations of molecular dynamics appeal to biologists as a natural extension of structural biology. Once biologists…

Biomolecules · Quantitative Biology 2019-03-05 Bob Eisenberg

Metabolism displays striking and robust regularities in the forms of modularity and hierarchy, whose composition may be compactly described. This renders metabolic architecture comprehensible as a system, and suggests the order in which…

Molecular Networks · Quantitative Biology 2015-06-05 Rogier Braakman , Eric Smith

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand