一个随机模型的子动力学与转换和碎片化的模型
Arpan Ghosh1, Peter Olofsson1, Suzanne S Sindi2
1Department of Mathematics, Physics, and Chemical Engineering, Jönköping University, Sweden.
Mathematical biosciences
|July 27, 2025
概括
子疾病源于错误折叠的蛋白质形成传染性聚合物. 这项研究模拟了子动态,揭示了聚合增长和碎片化如何影响疾病进展.
科学领域:
- 生物物理学的生物物理.
- 分子生物学分子生物学
- 神经科学是一个神经科学.
背景情况:
- 子是导致神经退行性疾病的传染性蛋白质.
- 子疾病涉及错误折叠的蛋白质聚合物,通过转化和碎片化传播.
- 了解子聚合物的动态对于疾病机制研究至关重要.
研究的目的:
- 开发一个用于子聚合物群体动态的随机模型.
- 分析转化和碎片化对子增殖的影响.
- 调查影响总体种群增长和规模的因素.
主要方法:
- 制订一个连续时间马尔科夫链模型.
- 追踪子聚合物的数量和错误折叠的单体.
- 对于联合概率生成函数的部分微分方程 (PDE) 的导数和解.
主要成果:
- 建立了子总体种群动态的数学框架.
- 来自人口增长和平均总体规模的分析结果.
- 确定了影响总体人口动态的关键模型参数.
结论:
- 随机模型提供了对子传播机制的见解.
- 模型参数显著影响类聚合物群体的行为.
- 这项工作为进一步对病的理论和实验研究提供了基础.
相关概念视频
Amyloid Fibrils
9.9K
Amyloid fibrils are aggregates of misfolded proteins. Under most circumstances, misfolded proteins are either refolded by chaperone proteins or degraded by the proteasome. However, in the case of a mutation or a disease, these proteins can accumulate to form large clusters and often further assemble to form elongated fibers, called fibrils.
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining,...
Amyloid deposits were observed as early as 1639 in the liver and the spleen. In 1854, Rudolph Virchow performed iodine staining,...
9.9K
Subviral Agents
113
Subviral agents are infectious entities that resemble viruses but lack one or more viral components, such as a capsid or essential replication machinery. These agents include viroids, prions, and satellites, each possessing distinct structural and functional characteristics that influence their mode of infection and replication.Viroids are the simplest subviral agents, consisting of circular, single-stranded RNA molecules without a protein coat. They exclusively infect plants, relying entirely...
113
Entropy Change in Reversible Processes
2.7K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.7K
Mutation, Gene Flow, and Genetic Drift
59.5K
In a population that is not at Hardy-Weinberg equilibrium, the frequency of alleles changes over time. Therefore, any deviations from the five conditions of Hardy-Weinberg equilibrium can alter the genetic variation of a given population. Conditions that change the genetic variability of a population include mutations, natural selection, non-random mating, gene flow, and genetic drift (small population size).
59.5K
Viral Recombination
23.8K
Cells are sometimes infected by more than one virus at once. When two viruses disassemble to expose their genomes for replication in the same cell, similar regions of their genomes can pair together and exchange sequences in a process called recombination. Alternatively, viruses with segmented genomes can swap segments in a process called reassortment.
23.8K
Gene Conversion
10.0K
Other than maintaining genome stability via DNA repair, homologous recombination plays an important role in diversifying the genome. In fact, the recombination of sequences forms the molecular basis of genomic evolution. Random and non-random permutations of genomic sequences create a library of new amalgamated sequences. These newly formed genomes can determine the fitness and survival of cells. In bacteria, homologous and non-homologous types of recombination lead to the evolution of new...
10.0K


