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Circadian Rhythms and Gene Regulation02:19

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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...
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Basic Caenorhabditis elegans Methods: Synchronization and Observation
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在殖民地中同步节奏活动的可溶性模型.

Pedro M M da Silveira1, José F Fontanari1

  • 1Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, São Paulo, Brazil.

Mathematical biosciences
|July 5, 2024
PubMed
概括

殖民地通过自催化表现出同步活动,其中活跃的刺激不活跃的. 数学模型揭示了持续节奏行为的条件,由殖民地动态和噪音驱动.

科学领域:

  • 集体行为 集体行为
  • 数学生物学 数学生物学
  • 动物行为 动物行为

背景情况:

  • 集体行为,如群中的同步活动,是一种广泛的自然现象.
  • 巢通常会显示出涉及整个群体的同步活动爆发,间隔有不活动的时期.
  • 自催化过程,即活跃的刺激不活跃的,是产生这种节奏行为的关键.

研究的目的:

  • 在群体中观察到的同步节奏活动的数学模型和分析.
  • 确定在种群中出现稳定的同步振荡的条件.
  • 调查人口噪声在维持有限规模殖民地振荡中的作用.

主要方法:

  • 推导延迟微分方程来准确描述大型殖民地模拟模型.
  • 分析衍生方程的固定点解决方案.
  • 延迟微分方程的数值集成.
  • 在有限的殖民地对人口噪声的共振放大研究.

主要成果:

  • 该研究确定了稳定的极限周期解决方案的条件,表明持续的节律活动.
  • 这些条件包括足够长的休息期和自发激活的可能性很低.
  • 人口噪音被证明会引起共振放大,导致有限殖民地持续的振荡.
关键词:
延迟微分方程 延迟微分方程固定点分析是指固定点分析.随机过程是指随机的过程.同步的同步是同步的同步.

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结论:

  • 延迟微分方程准确地模拟了同步的活动.
  • 在特定条件下,群中的持续节奏行为在数学上是可预测的.
  • 人口噪音在自然种群的持续振荡中起着至关重要的作用.