生物振荡器的起伏:时间延迟的负反机制的比较
Jan Rombouts1,2,3, Sarah Verplaetse3, Lendert Gelens3
1Cell Biology and Biophysics Unit, European Molecular Biology Laboratory (EMBL), Heidelberg, Germany.
Journal of the Royal Society, Interface
|June 28, 2023
概括
生物化学振荡依赖于负反循环. 这项研究用数学方法比较了影响蛋白质产生与降解的反如何影响振荡条件,为每个机制揭示了不同的约束.
科学领域:
- 生物化学 生物化学
- 系统生物学 系统生物学
- 数学生物学 数学生物学
背景情况:
- 生物化学振荡器是基本的生物过程.
- 这些振荡通常由涉及蛋白质动态的负反循环来调节.
- 回应作用的精确位置 (生产与降解) 对于振荡特性至关重要.
研究的目的:
- 为了数学比较生物化学振荡器的时间延迟模型.
- 调查如何负面反影响蛋白质生产与降解影响振荡.
- 分析分布式延迟和酶降解对振荡的影响.
主要方法:
- 开发和分析生化振荡器的数学模型.
- 线性稳定性分析以确定振荡条件.
- 模型与反作用于生产与降解率的模型进行比较.
主要成果:
- 建立了生产反和退化反模型的线性稳定性之间的数学联系.
- 为了允许振荡,每个反机制都对生产和降解速度产生了不同的约束.
- 阐明了分布式延迟,双重调节和酶降解对振荡动态的影响.
结论:
- 负反 (生产或降解) 的位置对生物化学振荡器参数施加了明显的约束.
- 数学建模为控制生物振荡的基本机制提供了洞察力.
- 了解这些约束对于预测和设计生物振荡器行为至关重要.
相关概念视频
Cell Signaling Feedback Loops
6.4K
Positive and negative feedback loops are crucial for regulating biological signaling systems. These feedback loops are processes that connect output signals to their inputs.
Negative feedback loops
Most signaling systems have negative feedback loops that can perform different functions such as output limiter, and adaptation.
Output limiter
Upon receiving an input signal, the cellular response rapidly increases until a threshold is reached. Beyond this threshold, a negative feedback loop...
Negative feedback loops
Most signaling systems have negative feedback loops that can perform different functions such as output limiter, and adaptation.
Output limiter
Upon receiving an input signal, the cellular response rapidly increases until a threshold is reached. Beyond this threshold, a negative feedback loop...
6.4K
Circadian Rhythms and Gene Regulation
4.1K
The biological clock is involved in many aspects of regulating complex physiology in all animals. It was in 1935 when German zoologists, Hans Kalmus and Erwin Bünning, discovered the existence of circadian rhythm in Drosophila melanogaster. However, the internal molecular mechanisms behind the circadian clock remained a mystery until 1984, when Jeffrey C. Hall, Michael Rosbash, and Michael W. Young discovered the expression of the Per gene oscillating over a 24-hour cycle. In subsequent...
4.1K
Positive and Negative Feedback Loops
19.5K
Animal organs and organ systems constantly adjust to internal and external changes through a process called homeostasis ("steady state"). Examples of these changes include regulation of the level of glucose or calcium in the blood or internal responses to external temperatures. Homeostasis requires maintaining an internal dynamic equilibrium:
19.5K
Root Loci for Positive-Feedback Systems
148
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
148
Damped Oscillations
5.8K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
5.8K
Second Order systems II
134
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
134


