图 书 馆
延迟参数的可识别性的非线性时滞系统在系统生物学中的应用Identifiability of Delay Parameters for Nonlinear Time-delay Systems with Applications in Systems Biology |
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| 课程网址: | http://videolectures.net/pesb07_anguelova_iod/ |
| 主讲教师: | Milena Anguelova |
| 开课单位: | 查尔默斯理工大学 |
| 开课时间: | 2007-04-04 |
| 课程语种: | 英语 |
| 中文简介: |  将简要介绍参数可识别性的概念，然后简短描述如何通过秩计算在ODE系统中通常测试此属性。然后，将此分析扩展到由Xia等人最近开发的延迟系统。 [1]和Zhang等。 [2]将被审查。在这些工作中，作者使用非交换环上的模块框架来为具有已知时间延迟的延迟系统的参数可识别性制定类似的秩检验。然后，Timmer等人的细胞信号传导模型将激发我们正在进行的工作。 [3]，其中STAT 5在细胞核中的停留时间是由未知的时延建模的，该时延由Timmer等人估算。我们将展示如何通过外部形式确定时延参数的可识别性系统的输入输出表示。在[1]和[2]的数学框架中，我们基于秩计算针对输出导数的梯度所跨越的空间，制定了明确的标准。最后，将讨论文献中生物系统的几个例子。与伯恩特·温伯格的共同工作。 |
| 课程简介: | The concept of parameter identifiability will be introduced briefly, followed by a short description of how this property can be tested for ODE-systems in general by rank calculations. Then, the extension of this analysis to delay systems, recently developed by Xia et al. [1] and Zhang et al. [2] will be reviewed. In these works, the authors use the framework of modules over non-commutative rings to formulate an analogous rank test for parameter identifiability of delay systems with known time-delays. Our ongoing work will then be motivated by a model of cellular signal transduction by Timmer et al. [3], where the sojourn time of STAT-5 in the nucleus is modelled by an unknown time delay which is estimated numerically by Timmer et al.. We will show how the identifiability of the time delay parameter is determined by the form of the external input-output representation of the system. Working in the mathematical framework of [1] and [2], we formulate explicit criteria based on rank calculations for the space spanned by the gradients of the output derivatives. Finally, several examples of biological systems from the literature will be discussed. Joint work with Bernt Wennberg. |
| 关 键 词: | 参数可识别性; 延迟参数; 非线性时滞系统; 系统生物学 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2020-03-31：zhouxj |
| 最后编审: | 2020-05-25：cxin |
| 阅读次数: | 35 |