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Optimization is becoming increasingly common in scientific and engineering domains. Oftentimes, these problems involve various levels of stochasticity or uncertainty in generating proposed solutions. Therefore, optimization in these…

机器学习 · 统计学 2020-06-05 Peter D. Tonner , Daniel V. Samarov , A. Gilad Kusne

We present a model for continuous cell culture coupling intra-cellular metabolism to extracellular variables describing the state of the bioreactor, taking into account the growth capacity of the cell and the impact of toxic byproduct…

分子网络 · 定量生物学 2017-11-21 Jorge Fernandez-de-Cossio-Diaz , Kalet León , Roberto Mulet

The sustainable use of multicomponent treatments such as combination therapies, combination vaccines/chemicals, and plants carrying multigenic resistance requires an understanding of how their population-wide deployment affects the speed of…

种群与进化 · 定量生物学 2015-06-16 Romain Bourget , Loïc Chaumont , Natalia Sapoukhina

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

统计方法学 · 统计学 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

With the recent paradigm shift from cytotoxic drugs to new generation of target therapy and immuno-oncology therapy during oncology drug developments, patients with various cancer (sub)types may be eligible to participate in a basket trial…

统计方法学 · 统计学 2026-05-12 Junxian Geng , Tianjian Zhou , Ruitao Lin , Guanyu Hu

In response to the increasing deployment of battery storage systems for cost reduction and grid stress mitigation, this study presents the development of a new real-time Markov decision process model to efficiently schedule battery systems…

系统与控制 · 电气工程与系统科学 2024-09-17 Hussein Sharadga , Ahmad Dawahdeh , Golbon Zakeri , Abdullah Hayajneh , Geoff Pritchard

Decision making for dynamic systems is challenging due to the scale and dynamicity of such systems, and it is comprised of decisions at strategic, tactical, and operational levels. One of the most important aspects of decision making is…

应用统计 · 统计学 2019-11-12 Sara Masoud , Bijoy Chowdhury , Young-Jun Son , Russell Tronstad

Accurate prediction of crop states (e.g., phenology stages and cold hardiness) is essential for timely farm management decisions such as irrigation, fertilization, and canopy management to optimize crop yield and quality. While traditional…

人工智能 · 计算机科学 2026-05-20 William Solow , Paola Pesantez-Cabrera , Markus Keller , Lav Khot , Sandhya Saisubramanian , Alan Fern

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…

The empirical risk minimization approach to data-driven decision making requires access to training data drawn under the same conditions as those that will be faced when the decision rule is deployed. However, in a number of settings, we…

统计方法学 · 统计学 2025-09-17 Roshni Sahoo , Lihua Lei , Stefan Wager

In this article, we study a fractional control problem that models the maximization of the profits obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this…

最优化与控制 · 数学 2021-04-12 Melani Barrios , Gabriela Reyero , Mabel Tidball

The macroeconomy is a sophisticated dynamic system involving significant uncertainties that complicate modelling. In response, decision-makers consider multiple models that provide different predictions and policy recommendations which are…

统计方法学 · 统计学 2025-02-26 Tony Chernis , Gary Koop , Emily Tallman , Mike West

The presence of protein aggregates in cells is a known feature of many human age-related diseases, such as Huntington's disease. Simulations using fixed parameter values in a model of the dynamic evolution of expanded polyglutamine (PolyQ)…

We study merchant energy production modeled as a compound switching and timing option. The resulting Markov decision process is intractable. State-of-the-art approximate dynamic programming methods applied to realistic instances of this…

最优化与控制 · 数学 2020-01-01 Bo Yang , Selvaprabu Nadarajah , Nicola Secomandi

Cells achieve size homeostasis by regulating their division timing based on their size, added size, and cell cycle time. Previous research under steady-state conditions demonstrated the robustness of these mechanisms. However, their dynamic…

定量方法 · 定量生物学 2025-12-01 Cesar Nieto , Sayeh Rezaee , Cesar Augusto Vargas-Garcia , Abhyudai Singh

Predictive modelling is vital to guide preventive efforts. Whilst large-scale prospective cohort studies and a diverse toolkit of available machine learning (ML) algorithms have facilitated such survival task efforts, choosing the…

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

概率论 · 数学 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

-Complex manufacturing systems are subject to high levels of variability that decrease productivity, increase cycle times and severely impact the systems tractability. As accurate modelling of the sources of variability is a cornerstone to…

应用统计 · 统计学 2017-11-20 Kean Dequeant , Pierre Lemaire , Marie-Laure Espinouse , Philippe Vialletelle

A canonical foraging task is the patch-leaving problem, in which a forager must decide to leave a current resource in search for another. Theoretical work has derived optimal strategies for when to leave a patch, and experiments have tested…

神经元与认知 · 定量生物学 2019-12-03 Jacob D. Davidson , Ahmed El Hady

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