Balancing at the edge of excitability: implications for cell movement

IF 1.8 4区 计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS
Debojyoti Biswas, Parijat Banerjee, Pablo A. Iglesias
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引用次数: 0

Abstract

Cells rely on the ability to sense and respond to small spatial differences in chemoattractant concentrations for survival. There is growing evidence that this is accomplished by setting the signaling system near the threshold for activation in an excitable system and using the spatial heterogeneities to alter the threshold, thereby biasing cell activity in the direction of the gradient. Here we consider a scheme by which the set point is adaptively set near the bifurcation point, but without explicit knowledge of this point. Through simulation, we show that the method would improve chemotactic efficiency of cells. The results of this paper are based on pioneering work by Eduardo Sontag and coworkers, to whom this paper is dedicated in honor of his 70th birthday.

Abstract Image

兴奋性边缘的平衡:对细胞运动的影响
细胞依赖于对化学引诱剂浓度的微小空间差异的感知和反应能力来生存。越来越多的证据表明,这是通过将信号系统设置在可兴奋系统的激活阈值附近,并利用空间异质性来改变阈值,从而使细胞活性在梯度方向上偏倚来实现的。这里我们考虑了一种集点在分支点附近自适应集点,但不知道该点的显式知识的方案。仿真结果表明,该方法可以提高细胞的趋化效率。这篇论文的结果是基于Eduardo Sontag及其同事的开创性工作,这篇论文是为了纪念他的70岁生日。
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来源期刊
Mathematics of Control Signals and Systems
Mathematics of Control Signals and Systems 工程技术-工程:电子与电气
CiteScore
2.90
自引率
0.00%
发文量
18
审稿时长
>12 weeks
期刊介绍: Mathematics of Control, Signals, and Systems (MCSS) is an international journal devoted to mathematical control and system theory, including system theoretic aspects of signal processing. Its unique feature is its focus on mathematical system theory; it concentrates on the mathematical theory of systems with inputs and/or outputs and dynamics that are typically described by deterministic or stochastic ordinary or partial differential equations, differential algebraic equations or difference equations. Potential topics include, but are not limited to controllability, observability, and realization theory, stability theory of nonlinear systems, system identification, mathematical aspects of switched, hybrid, networked, and stochastic systems, and system theoretic aspects of optimal control and other controller design techniques. Application oriented papers are welcome if they contain a significant theoretical contribution.
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