188宝金博页面版

  • 图案背景
  • 纯色背景
视图
标记
批注
批注本地保存成功，开通会员云端永久保存 去开通
laoposhige..

上传于：2016-03-24

粉丝量：8

该文档贡献者很忙，什么也没留下。


  • 相关
  • 目录
  • 笔记
  • 书签

188宝金博页面版:更多相关文档

  • monotone dynamical systems an introduction to the theory of competitive and cooperative systems

    星级： 7 页

  • Economic and productivity growth decomposition An application to post-reform China

    星级： 18 页

  • An Algorithm to Estimate Monotone Normal Means and its Application to Identify the Minimum

    星级： 22 页

  • economic and productivity growth decomposition an application to post-reform china

    星级： 20 页

  • Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles

    星级： 21 页

  • Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles[精选推荐PDF]

    星级： 21 页

  • Integral manifolds of singularly perturbed systems with application to rigid-link flexible-joint multibody systems

    星级： 23 页

  • Model predictive control of nonlinear singularly perturbed systems Application to a large-scale process network

    星级： 10 页

  • Existence and Monotone Scheme for Time-Periodic Nonquasimonotone Reaction–Diffusion Systems Application to Autocatalytic Chemi

    星级： 22 页

  • An Expert Systems Approach to Managing and …

    星级： 44 页

暂无目录

点击鼠标右键菜单,创建目录

    暂无笔记

    选择文本，点击鼠标右键菜单，添加笔记

    暂无书签

    在左侧文档中，点击鼠标右键，添加书签

    188宝金博页面版: Singularly Perturbed Monotone Systems and an Application to…

    下载积分： 3000

    内容提示： Singularly Perturbed Monotone Systems and an Application to DoublePhosphorylation CyclesLiming Wang and Eduardo Sontag ??AbstractThe theory of monotone dynamical systems has been found very useful in the modeling of somegene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. Onthe other hand, negative feedback loops are important features of many systems, since they are requiredfor adaptation and precision. This paper shows that, provided that these negative loops...

    文档格式：PDF | 页数：22 | 浏览次数：27 | 上传日期：2016-03-24 10:29:22 | 文档星级：
    Singularly Perturbed Monotone Systems and an Application to DoublePhosphorylation CyclesLiming Wang and Eduardo Sontag ∗†AbstractThe theory of monotone dynamical systems has been found very useful in the modeling of somegene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. Onthe other hand, negative feedback loops are important features of many systems, since they are requiredfor adaptation and precision. This paper shows that, provided that these negative loops act at acomparatively fast time scale, the main dynamical property of (strongly) monotone systems, convergenceto steady states, is still valid. An application is worked out to a double-phosphorylation “futile cycle”motif which plays a central role in eukaryotic cell signaling.1 IntroductionMonotone dynamical systems constitute a rich class of models, for which global and almost-global con-vergence properties can be established. They are particularly useful in biochemical applications and alsoappear in areas like coordination [27] and other problems in control [7]. One of the fundamental results inmonotone systems theory is Hirsch’s Generic Convergence Theorem [17–19,36]. Informally stated, Hirsch’sresult says that almost every bounded solution of a strongly monotone system converges to the set ofequilibria. There is a rich literature regarding the application of this powerful theorem, as well as ofother results dealing with everywhere convergence when equilibria are unique ( [9,21,36]), to models ofbiochemical systems. See for instance [38,39] for expositions and many references.Unfortunately, many models in biology are not monotone, at least with respect to any standard orthantorder. This is because in monotone systems (with respect to orthant orders) every net feedback loop shouldbe positive, but, on the other hand, in many systems negative feedback loops often appear as well, as theyare required for adaptation and precision. However, intuitively, negative loops that act at a comparativelyfast time scale should not affect the main characteristics of monotone behavior. The main purpose of thispaper is to show that this is indeed the case, in the sense that singularly perturbed strongly monotonesystems inherit generic convergence properties. A system that is not monotone may become monotone oncethat fast variables are replaced by their steady-state values. In order to prove a precise time-separationresult, we employ tools from geometric singular perturbation theory.This point of view is of special interest in the context of biochemical systems; for example, MichaelisMenten kinetics are mathematically justified as singularly perturbed versions of mass action kinetics [11,28].One particular example of great interest in view of current systems biology research is that of dual “futilecycle” motifs, as illustrated in Figure 1. As discussed in [33], futile cycles (with any number of intermediate∗ L. Wang is with the Rutgers University, Department of Mathematics, wshwlm@math.rutgers.edu.† E. Sontag is with the Rutgers University, Department of Mathematics, sontag@math.rutgers.edu.1

    阅读了该文档的用户还阅读了这些文档

    188宝金博页面版:关于我们

    188宝金博页面版:帮助中心

    188宝金博页面版:关注我们

    • 新浪微博

    关注188宝金博页面版公众号

    188宝金博页面版
    阅读
    APP
    阅读
    返回
    顶部
    188宝金博页面版官网登录在线平台入口（2026已更新）—江苏协昌电子科技股份有限公司