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Modeling real-world systems requires accounting for noise - whether it arises from unpredictable fluctuations in financial markets, irregular rhythms in biological systems, or environmental variability in ecosystems. While the behavior of…

Understanding how systems evolve over time often requires discovering the differential equations that govern their behavior. Automatically learning these equations from experimental data is challenging when the data are noisy or limited,…

数据分析、统计与概率 · 物理学 2025-11-19 Oriol Cabanas-Tirapu , Sergio Cobo-Lopez , Savannah E. Sanchez , Forest L. Rohwer , Marta Sales-Pardo , Roger Guimerà

Biopharmaceutical manufacturing is a rapidly growing industry with impact in virtually all branches of medicines. Biomanufacturing processes require close monitoring and control, in the presence of complex bioprocess dynamics with many…

人工智能 · 计算机科学 2022-07-26 Hua Zheng , Wei Xie , Ilya O. Ryzhov , Dongming Xie

Predictive dynamical models for marine ecosystems are used for a variety of needs. Due to sparse measurements and limited understanding of the myriad of ocean processes, there is however significant uncertainty. There is model uncertainty…

计算工程、金融与科学 · 计算机科学 2023-06-06 Abhinav Gupta , Pierre F. J. Lermusiaux

Driven by the key challenges of cell therapy manufacturing, including high complexity, high uncertainty, and very limited process observations, we propose a hybrid model-based reinforcement learning (RL) to efficiently guide process…

系统与控制 · 电气工程与系统科学 2022-01-27 Hua Zheng , Wei Xie , Keqi Wang , Zheng Li

Molecular dynamics is a valuable tool to probe biological processes at the atomistic level - a resolution often elusive to experiments. However, the credibility of molecular models is limited by the accuracy of the underlying force field,…

化学物理 · 物理学 2025-11-10 Vojtech Kostal , Brennon L. Shanks , Pavel Jungwirth , Hector Martinez-Seara

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

定量方法 · 定量生物学 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

动力系统 · 数学 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Dynamic metabolic control allows key metabolic fluxes to be modulated in real time, enhancing bioprocess flexibility and expanding available optimization degrees of freedom. This is achieved, e.g., via targeted modulation of metabolic…

系统与控制 · 电气工程与系统科学 2025-10-03 Sebastián Espinel-Ríos , River Walser , Dongda Zhang

Model-based approaches for (bio)process systems often suffer from incomplete knowledge of the underlying physical, chemical, or biological laws. Universal differential equations, which embed neural networks within differential equations,…

机器学习 · 统计学 2026-05-20 Arno Strouwen

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

分子网络 · 定量生物学 2025-12-03 Thomas P. Steele , David J. Warne

Stochastic simulation is widely used to study complex systems composed of various interconnected subprocesses, such as input processes, routing and control logic, optimization routines, and data-driven decision modules. In practice, these…

统计计算 · 统计学 2026-02-19 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

系统与控制 · 计算机科学 2017-01-11 Luca Bortolussi , Guido Sanguinetti

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

系统与控制 · 电气工程与系统科学 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

统计方法学 · 统计学 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

The design of biological systems is hindered by uncertainty arising from both intrinsic stochasticity of biomolecular reactions and variability across laboratory or experimental conditions. In this work, we present a sequential framework to…

机器学习 · 计算机科学 2026-05-08 Michal Kobiela , Diego A. Oyarzún , Michael U. Gutmann

The value of unknown parameters of multibody systems is crucial for prediction, monitoring, and control, sometimes estimated using a biased physics-based model leading to incorrect outcomes. Discovering motion equations of multibody systems…

计算工程、金融与科学 · 计算机科学 2022-10-24 Ehsan Askari , Guillaume Crevecoeur

Motivated by critical challenges and needs from biopharmaceuticals manufacturing, we propose a general metamodel-assisted stochastic simulation uncertainty analysis framework to accelerate the development of a simulation model with modular…

统计方法学 · 统计学 2022-09-07 Wei Xie , Russell R. Barton , Barry L. Nelson , Keqi Wang

Innovation in synthetic biology often still depends on large-scale experimental trial-and-error, domain expertise, and ingenuity. The application of rational design engineering methods promise to make this more efficient, faster, cheaper…

分子网络 · 定量生物学 2021-08-18 Robyn P. Araujo , Sean T. Vittadello , Michael P. H. Stumpf

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

分子网络 · 定量生物学 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey
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