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相关论文: Exact Parameter Identification in PET Pharmacokine…

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This work is concerned with the identifiability of metabolic parameters from multi-region measurement data in quantitative PET imaging. It shows that, for the frequently used two-tissue compartment model and under reasonable assumptions, it…

最优化与控制 · 数学 2023-05-29 Martin Holler , Erion Morina , Georg Schramm

The aim of this paper is to discuss potential advances in PET kinetic models and direct reconstruction of kinetic parameters. As a prominent example we focus on a typical task in perfusion imaging and derive a system of…

最优化与控制 · 数学 2014-11-20 Louise Reips , Martin Burger , Ralf Engbers

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the first of a…

定量方法 · 定量生物学 2018-08-21 Fabrice Delbary , Sara Garbarino , Valentina Vivaldi

Linear compartmental models are a widely used tool for analyzing systems arising in biology, medicine, and more. In such settings, it is essential to know whether model parameters can be recovered from experimental data. This is the…

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the second of a…

医学物理 · 物理学 2018-09-14 Delbary Fabrice , Garbarino Sara

Parametric imaging is a compartmental approach that processes nuclear imaging data to estimate the spatial distribution of the kinetic parameters governing tracer flow. The present paper proposes a novel and efficient computational method…

Dynamic positron emission tomography (PET) images can reveal the distribution of tracers in the organism and the dynamic processes involved in biochemical reactions, and it is widely used in clinical practice. Despite the high effectiveness…

图像与视频处理 · 电气工程与系统科学 2025-12-22 Jie Sun , Junyan Zhang , Qian Xia , Chuanfu Sun , Yumei Chen , Yunjie Yang , Huafeng Liu , Wentao Zhu , Qiegen Liu

This work is concerned with numerically recovering multiple parameters simultaneously in the subdiffusion model from one single lateral measurement on a part of the boundary, while in an incompletely known medium. We prove that the boundary…

数值分析 · 数学 2023-07-10 Siyu Cen , Bangti Jin , Yikan Liu , Zhi Zhou

Identifiability is a necessary condition for successful parameter estimation of dynamic system models. A major component of identifiability analysis is determining the identifiable parameter combinations, the functional forms for the…

定量方法 · 定量生物学 2013-10-07 Marisa C. Eisenberg , Michael A. L. Hayashi

For whole-body (WB) kinetic modeling based on a typical PET scanner, a multi-pass multi-bed scanning protocol is necessary given the limited axial field-of-view. Such a protocol introduces loss of early-dynamics in time-activity curves…

医学物理 · 物理学 2024-05-14 Kyung-Nam Lee , Arman Rahmim , Carlos Uribe

Identifying unique parameters for mathematical models describing biological data can be challenging and often impossible. Parameter identifiability for partial differential equations models in cell biology is especially difficult given that…

The parameters of a linear compartment model are usually estimated from experimental input-output data. A problem arises when infinitely many parameter values can yield the same result; such a model is called unidentifiable. In this case,…

组合数学 · 数学 2016-03-08 Jasmijn A. Baaijens , Jan Draisma

When no arterial input function is available, quantification of dynamic PET images requires a previous step devoted to the extraction of a reference time-activity curve (TAC). Factor analysis is often applied for this purpose. This paper…

图像与视频处理 · 电气工程与系统科学 2020-11-23 Yanna Cruz Cavalcanti , Thomas Oberlin , Vinicius Ferraris , Nicolas Dobigeon , Maria Ribeiro , Clovis Tauber

The known results on compartment system's identification requires observations and measures on some compartments. However, in many situations some compartments can not be measured, so the minimization of the compartment's number to be…

动力系统 · 数学 2021-12-14 B. Fadis , B. Hebri , S. Khelifa

Accurate parameter identification of a subject-specific human musculoskeletal model is crucial to the development of safe and reliable physically collaborative robotic systems, for instance, assistive exoskeletons. Electromyography…

机器人学 · 计算机科学 2025-09-30 Philip Sanderink , Yingfan Zhou , Shuzhen Luo , Cheng Fang

Cardiac 18F-FDG PET has been used in clinics to assess myocardial glucose metabolism. Its ability for imaging myocardial glucose transport, however, has rarely been exploited in clinics. Using the dynamic FDG-PET scans of ten patients with…

医学物理 · 物理学 2020-10-27 Yang Zuo , Ramsey D. Badawi , Cameron C. Foster , Thomas Smith , Javier E. Lopez , Guobao Wang

We propose a novel dynamic image reconstruction method from PET listmode data that could be particularly suited to tracking single or small numbers of cells. In contrast to conventional PET reconstruction our method combines the information…

计算机视觉与模式识别 · 计算机科学 2019-11-25 Bernhard Schmitzer , Klaus P. Schäfers , Benedikt Wirth

The present paper proposes a novel computational method for parametric imaging of nuclear medicine data. The mathematical procedure is general enough to work for compartmental models of diverse complexity and is effective in the…

组织与器官 · 定量生物学 2017-05-15 Mara Scussolini , Sara Garbarino , Gianmario Sambuceti , Giacomo Caviglia , Michele Piana

In this paper, we develop a unified approach to study partial identification of a finite-dimensional parameter defined by a general moment model with incomplete data. We establish a novel characterization of the identified set for the true…

计量经济学 · 经济学 2025-10-03 Yanqin Fan , Hyeonseok Park , Brendan Pass , Xuetao Shi

We present a deep learning approach to extract physical parameters (e.g., mobility, Schottky contact barrier height, defect profiles) of two-dimensional (2D) transistors from electrical measurements, enabling automated parameter extraction…

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