松和噪声驱动的振荡在一个模型的米托斯动力学模型
Dionn Hargreaves1, Sarah Woolner2, Oliver E Jensen3
1Faculty of Biology, Medicine and Health, University of Manchester, Oxford Road, Manchester, M13 9PL, UK. dionn.hargreaves@manchester.ac.uk.
Bulletin of mathematical biology
|August 3, 2024
概括
皮层力发生器在细胞分裂过程中驱动螺旋杆振荡. 数学模型预测振荡条件和振幅,揭示噪声引起的振荡,即使模型预测稳定性.
科学领域:
- 细胞生物学 细胞生物学
- 生物物理学的生物物理.
- 数学生物学 数学生物学
背景情况:
- 细胞分裂依赖于精确的线粒状的定位.
- 皮层力发生器和微管驱动螺旋动力学.
- 以前的模型使用福克-普朗克方程来研究螺旋杆振荡.
研究的目的:
- 为了简化复杂的福克-普朗克模型的螺旋杆振荡.
- 为了准确预测轴振荡的条件.
- 分析非线性振荡和噪声引起的影响.
主要方法:
- 降低福克-普朗克方程到ODEs的非对称方法.
- 普通微分方程 (ODE) 的分析.
- 随机模拟和随机微分方程.
主要成果:
- 将福克-普朗克系统简化为ODEs,与以前的模型相一致.
- 在小的恢复力极限中对振荡幅度的衍生代数预测.
- 证明了非线性振荡放松结构.
- 对噪声引起的振荡的确定条件.
结论:
- 简化的ODE模型准确地预测了轴轴振荡条件.
- 非线性动力学和噪声效应对于理解轴定位至关重要.
- 数学建模为细胞分裂的生物物理提供了洞察力.
相关概念视频
The Mitotic Spindle
6.5K
The mitotic spindle—or spindle apparatus—is a eukaryotic, cytoskeletal structure made up of long protein fibers called microtubules. Formed during cell division, the spindle separates sister chromatids and moves them to opposite ends of a parental cell, where the now individual chromosomes are distributed to two daughter cell nuclei.
The bipolar configuration of the mitotic spindle facilitates chromosomal segregation, preparing the cell for division. One mechanism that ensures...
The bipolar configuration of the mitotic spindle facilitates chromosomal segregation, preparing the cell for division. One mechanism that ensures...
6.5K
Spindle Assembly
3.6K
Spindle assembly occurs through three, often coexisting, pathways – the centrosome-mediated pathway, the chromatin-mediated pathway, and the microtubule-mediated pathway – collectively contributing to form a robust spindle apparatus.
In most cells, centrosomes are the primary microtubule nucleation centers. In the centrosome-mediated pathway, the G2-prophase transition triggers centrosome maturation and increased microtubule nucleation. Progressive nucleation results in a...
In most cells, centrosomes are the primary microtubule nucleation centers. In the centrosome-mediated pathway, the G2-prophase transition triggers centrosome maturation and increased microtubule nucleation. Progressive nucleation results in a...
3.6K
Microtubule Instability
5.0K
Microtubules are hollow cylindrical filaments having a diameter of approximately 25 nm and a length that varies from 200 nm to 25 μm. GTP-bound tubulin subunits form αβ-heterodimers for microtubule assembly. These core building blocks interact longitudinally, polymerizing into protofilaments. The protofilaments then interact with one another through lateral bonding forces to form stable cylindrical microtubules. These cylindrical filaments are dynamic as they undergo repeated...
5.0K
The Spindle Assembly Checkpoint
3.1K
The spindle assembly checkpoint is a molecular surveillance mechanism ensuring the fidelity of chromosome segregation during anaphase. The checkpoint monitors the completion of all the prerequisite steps before chromosome segregation to determine whether the segregation process should proceed or be delayed.
Many proteins function together to control the spindle assembly checkpoint. Mutations affecting these proteins may allow cells to proceed into anaphase prematurely, resulting in the...
Many proteins function together to control the spindle assembly checkpoint. Mutations affecting these proteins may allow cells to proceed into anaphase prematurely, resulting in the...
3.1K
Forces Acting on Chromosomes
3.3K
During mitosis, chromosome movements occur through the interplay of multiple piconewton level forces. In prometaphase, these forces help in chromosome assembly or congression at the equatorial plane, eventually leading to their alignment at the metaphase plate. The forces acting on the chromosomes are space and time-dependent; therefore, they vary with the position of the chromosomes as the cell progresses through mitosis.
Microtubules and motor proteins exert two types of forces on...
Microtubules and motor proteins exert two types of forces on...
3.3K
Oscillations about an Equilibrium Position
5.4K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
5.4K


