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State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

种群与进化 · 定量生物学 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

Model parameter inference is a universal problem across science. This challenge is particularly pronounced in developmental biology, where faithful mechanistic descriptions require spatial-stochastic models with numerous parameters, yet…

生物物理 · 物理学 2024-07-16 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

Probabilistic inference provides a language for describing how organisms may learn from and adapt to their environment. The computations needed to implement probabilistic inference often require specific representations, akin to having the…

分子网络 · 定量生物学 2018-06-28 Yarden Katz , Michael Springer , Walter Fontana

Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between…

化学物理 · 物理学 2016-02-12 Joseph F. Rudzinski , Kurt Kremer , Tristan Bereau

As most natural resources, fisheries are affected by random disturbances. The evolution of such resources may be modelled by a succession of deterministic process and random perturbations on biomass and/or growth rate at random times. We…

最优化与控制 · 数学 2019-09-15 Patrice Loisel

The increasing penetration of renewable energy along with the variations of the loads bring large uncertainties in the power system states that are threatening the security of power system planning and operation. Facing these challenges,…

系统与控制 · 电气工程与系统科学 2020-04-14 Yijun Xu , Kiran Karra , Lamine Mili , Mert Korkali , Xiao Chen , Zhixiong Hu

In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells,…

偏微分方程分析 · 数学 2017-08-24 Andrey Piatnitski , Mariya Ptashnyk

In this paper, we address the task of setting up an optimal production plan taking into account an uncertain demand. The energy system is represented by a system of hyperbolic partial differential equations (PDEs) and the uncertain demand…

最优化与控制 · 数学 2020-01-13 Simone Göttlich , Oliver Kolb , Kerstin Lux

Increasingly complex applications involve large datasets in combination with non-linear and high dimensional mathematical models. In this context, statistical inference is a challenging issue that calls for pragmatic approaches that take…

数据分析、统计与概率 · 物理学 2013-01-31 Andreas Raue , Clemens Kreutz , Fabian Joachim Theis , Jens Timmer

Optimal scheduling of batteries has significant potential to reduce electricity costs and to enhance grid resilience. However, effective battery scheduling must account for both physical constraints as well as uncertainties in consumption…

最优化与控制 · 数学 2026-04-01 Janik Pinter , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer , Frederik Zahn

Addressing the uncertainty introduced by increasing renewable integration is crucial for secure power system operation, yet capturing it while preserving the full nonlinear physics of the grid remains a significant challenge. This paper…

系统与控制 · 电气工程与系统科学 2025-10-06 Ghulam Mohy-ud-din , Yunqi Wang , Rahmat Heidari , Frederik Geth

Cell inconsistency within a lithium-ion battery system poses a significant challenge in maximizing the system operational time. This study presents an optimization-driven active balancing method to minimize the effects of cell inconsistency…

系统与控制 · 电气工程与系统科学 2024-05-03 Yiming Xu , Xiaohua Ge , Ruohan Guo , Weixiang Shen

This paper considers binomial approximation of continuous time stochastic processes. It is shown that, under some mild integrability conditions, a process can be approximated in mean square sense and in other strong metrics by binomial…

计算金融 · 定量金融 2015-02-09 Nikolai Dokuchaev

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

最优化与控制 · 数学 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng

This chapter summarizes several approaches combining theory, simulation and experiment that aim for a better understanding of phenomena in lipid bilayers and membrane protein systems, covering topics such as lipid rafts, membrane mediated…

生物物理 · 物理学 2014-12-17 Markus Deserno , Kurt Kremer , Harald Paulsen , Christine Peter , Friederike Schmid

Engineered timber is pivotal to low-carbon construction, but moisture uptake during its service life can compromise structural reliability and impede reuse within a circular economy model. Despite growing interest, quantitative standards…

应用统计 · 统计学 2025-06-16 Yiping Meng , Chulin Jiang , Courtney Jayne Scurr , Farzad Pour Rahimian , David Hughes

Inventory management is a fundamental challenge in supply chain management. The challenge is compounded when the associated products have unpredictable demands. This study proposes an innovative optimization approach combining…

最优化与控制 · 数学 2024-02-20 Sarit Maitra

Large-scale manufacturing of induced pluripotent stem cells (iPSCs) is essential for cell therapies and regenerative medicines. Yet, iPSCs form large cell aggregates in suspension bioreactors, resulting in insufficient nutrient supply and…

分子网络 · 定量生物学 2023-10-12 Hua Zheng , Sarah W. Harcum , Jinxiang Pei , Wei Xie

Heterogeneous multiscale methods (HMM) combine molecular accuracy of particle-based simulations with the computational efficiency of continuum descriptions to model flow in soft matter liquids. In these schemes, molecular simulations…

The presented previously indirect optimization method (IOM) developed within biochemical systems theory (BST) provides a versatile and mathematically tractable optimization strategy for biochemical systems. However, due to the local…

定量方法 · 定量生物学 2007-06-13 Gongxian Xu , Cheng Shao , Zhilong Xiu
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