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Hematotoxicity, drug-induced damage to the blood-forming system, is a frequent side effect of cytotoxic chemotherapy and poses a significant challenge in clinical practice due to its high inter-patient variability and limited…

机器学习 · 计算机科学 2025-05-28 Marie Steinacker , Yuri Kheifetz , Markus Scholz

In this paper, a data-driven nonparametric approach is presented for forecasting the probability density evolution of stochastic dynamical systems. The method is based on stochastic Koopman operator and extended dynamic mode decomposition…

数值分析 · 数学 2022-10-12 Meng Zhao , Lijian Jiang

In the biomedical environment, experiments assessing dynamic processes are primarily performed by a human acquisition supervisor. Contemporary implementations of such experiments frequently aim to acquire a maximum number of relevant events…

计算机视觉与模式识别 · 计算机科学 2023-10-10 Nils Friederich , Angelo Yamachui Sitcheu , Oliver Neumann , Süheyla Eroğlu-Kayıkçı , Roshan Prizak , Lennart Hilbert , Ralf Mikut

We present a data-driven reduced-order modeling of the space-charge dynamics for electromagnetic particle-in-cell (EMPIC) plasma simulations based on dynamic mode decomposition (DMD). The dynamics of the charged particles in kinetic plasma…

等离子体物理 · 物理学 2025-07-29 Indranil Nayak , Fernando L. Teixeira , Dong-Yeop Na , Mrinal Kumar , Yuri A. Omelchenko

Control of nonlinear distributed parameter systems (DPS) under uncertainty is a meaningful task for many industrial processes. However, both intrinsic uncertainty and high dimensionality of DPS require intensive computations, while…

最优化与控制 · 数学 2024-10-17 Min Tao , Ioannis Zacharopoulos , Constantinos Theodoropoulos

Electronic medical records (EMR) contain longitudinal information about patients that can be used to analyze outcomes. Typically, studies on EMR data have worked with established variables that have already been acknowledged to be…

机器学习 · 计算机科学 2017-11-30 Prithwish Chakraborty , Vishrawas Gopalakrishnan , Sharon M. H. Alford , Faisal Farooq

Extended dynamic mode decomposition (EDMD) provides a class of algorithms to identify patterns and effective degrees of freedom in complex dynamical systems. We show that the modes identified by EDMD correspond to those of compact…

动力系统 · 数学 2020-02-19 Julia Slipantschuk , Oscar F. Bandtlow , Wolfram Just

The development of blood-handling medical devices, such as ventricular assist devices, requires the analysis of their biocompatibility. Among other aspects, this includes hemolysis, i.e., red blood cell damage. For this purpose,…

流体动力学 · 物理学 2024-04-15 Nico Dirkes , Fabian Key , Marek Behr

Extended dynamic mode decomposition (EDMD) is a data-driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method of order N and collocation method of order M.…

动力系统 · 数学 2024-04-15 Elliz Akindji , Julia Slipantschuk , Oscar F. Bandtlow , Wolfram Just

Amyloid filaments are associated with neurodegenerative diseases such as Alzheimer's and Parkinson's. Simplified models of amyloid aggregation are crucial because the original mass-action equations involve numerous variables, complicating…

生物物理 · 物理学 2024-09-11 Xinyu Zhang , Haiyang Jia , Wuyue Yang , Liangrong Peng , Liu Hong

Constraint based methods, such as the Flux Balance Analysis, are widely used to model cellular growth processes without relying on extensive information on the regulatory features. The regulation is instead substituted by an optimization…

最优化与控制 · 数学 2017-06-14 Henning Lindhorst , Sergio Lucia , Rolf Findeisen , Steffen Waldherr

Empirical Mode Decomposition(EMD) is an adaptive data analysis technique for analyzing nonlinear and nonstationary data[1]. EMD decomposes the original data into a number of Intrinsic Mode Functions(IMFs)[1] for giving better physical…

统计方法学 · 统计学 2016-01-27 Sumit Kumar Ram , Marta Molinas

In feedback flow control, one of the challenges is to develop mathematical models that describe the fluid physics relevant to the task at hand, while neglecting irrelevant details of the flow in order to remain computationally tractable. A…

最优化与控制 · 数学 2015-05-13 Zhanhua Ma , Sunil Ahuja , Clarence W. Rowley

In this paper, we design offset-free nonlinear Model Predictive Control (MPC) for surrogate models based on Extended Dynamic Mode Decomposition (EDMD). The model used for prediction in MPC is augmented with a disturbance term, that is…

系统与控制 · 电气工程与系统科学 2025-05-01 Irene Schimperna , Lea Bold , Karl Worthmann

Despite growing interest in data-driven analysis and control of linear systems, descriptor systems--which are essential for modeling complex engineered systems with algebraic constraints like power and water networks--have received…

系统与控制 · 电气工程与系统科学 2025-08-25 Yuan Zhang , Yu Wang , Jun Shang , Jinhui Zhang

Recently proposed data-driven predictive control schemes for LTI systems use non-parametric representations based on the image of a Hankel matrix of previously collected, persistently exciting, input-output data. Persistence of excitation…

系统与控制 · 电气工程与系统科学 2024-03-07 Mohammad Alsalti , Manuel Barkey , Victor G. Lopez , Matthias A. Müller

Extended Dynamic Mode Decomposition (EDMD) is a popular data-driven method to approximate the Koopman operator for deterministic and stochastic (control) systems. This operator is linear and encompasses full information on the (expected…

The advancement of human healthspan and bioengineering relies heavily on predicting the behavior of complex biological systems. While high-throughput multiomics data is becoming increasingly abundant, converting this data into actionable…

机器学习 · 计算机科学 2025-12-10 Udesh Habaraduwa , Andrei Lixandru

This paper describes the optimal selection of a control policy to program the steady state of controlled nonlinear systems with hyperbolic fixed points. This work is motivated by the field of synthetic biology, in which saddle points are…

动力系统 · 数学 2020-06-11 Aqib Hasnain , Nibodh Boddupalli , Shara Balakrishnan , Enoch Yeung

Anemia, for which erythropoiesis-stimulating agents (ESAs) and iron supplements (ISs) are used as preventive measures, presents important difficulties for hemodialysis patients. Nevertheless, the number of physicians able to manage such…