受到辐射影响的癌细胞群动态的分数顺序建模
Bishwajit Sarma1, Hemen Dutta1, Ujjal Das2
1Department of Mathematics, Gauhati University, Guwahati-781014, India.
Computational biology and chemistry
|January 29, 2026
概括
这项研究介绍了细胞周期进展的分数数学模型,分析了其解决方案,并将其应用于乳腺和肺癌细胞系. 该模型与贝叶斯推理相结合,揭示了MCF-7和A549细胞之间的不同相变速率.
科学领域:
- 数学生物学 数学生物学
- 癌症研究 癌症研究
- 分数微积分的计算.
背景情况:
- 细胞循环的进展是细胞增殖至关重要的基本生物过程.
- 细胞循环的失调是癌症的标志,使得它的数学建模对于理解癌症发展至关重要.
- 分数计算为模拟复杂的生物系统提供了一种具有记忆效应的新方法.
研究的目的:
- 开发和分析细胞周期进展的分数数学模型.
- 将模型应用于人类癌症细胞系 (MCF-7和A549).
- 用贝叶斯推理和马尔科夫链蒙特卡洛 (MCMC) 方法估计模型参数.
主要方法:
- 利用卡普托的分数顺序导数来制定细胞循环模型.
- 对解决方案的存在,独特性,非负性和边界性进行严格的数学分析.
- 通过MCMC采样使用贝叶斯参数估计,将模型与来自MCF-7和A549细胞系的实验数据集成.
主要成果:
- 分数模型成功地应用于乳腺癌 (MCF-7) 和肺癌 (A549) 细胞系.
- 从G2M阶段到G1阶段的计算过渡率在两个细胞系中都是相似的 (0.2h−0·9对于MCF-7,0.189h−0·9对于A549).
- 与A549细胞 (0.095h−0·9) 相比,MCF-7细胞表现出更快的G1到S相过渡 (0.159h−0·9) 和A549细胞 (0.095h−0·9).
- 痕迹图被用作诊断工具来验证MCMC参数估计.
结论:
- 开发的分数模型为研究癌症细胞周期动态提供了一个强大的框架.
- 该模型突出了不同类型癌细胞之间的细胞周期阶段过渡率差异.
- 用MCMC采样进行贝叶斯推理对于参数化复杂的生物模型是有效的.
相关概念视频
Biological Effects of Radiation
17.9K
All radioactive nuclides emit high-energy particles or electromagnetic waves. When this radiation encounters living cells, it can cause heating, break chemical bonds, or ionize molecules. The most serious biological damage results when these radioactive emissions fragment or ionize molecules. For example, α and β particles emitted from nuclear decay reactions possess much higher energies than ordinary chemical bond energies. When these particles strike and penetrate matter, they...
17.9K
Population Growth
28.4K
Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.
28.4K
Conservation of Small Populations
17.2K
Small population sizes put a species at extreme risk of extinction due to a lack of variation, and a consequent decrease in adaptability. This weakens the chances of survival under pressures such as climate change, competition from other species, or new diseases. Large populations are more likely to survive pressures such as these, as such populations are more likely to harbor individuals that have genetic variants that are adaptive under new stresses. Small populations are much less...
17.2K
What is Population Genetics?
64.7K
A population is composed of members of the same species that simultaneously live and interact in the same area. When individuals in a population breed, they pass down their genes to their offspring. Many of these genes are polymorphic, meaning that they occur in multiple variants. Such variations of a gene are referred to as alleles. The collective set of all the alleles within a population is known as the gene pool.
64.7K
Radiation: Applications
1.8K
The average temperature of Earth is the subject of much current discussion. Earth is in radiative contact with both the Sun and dark space; it receives almost all its energy from the radiation of the Sun and reflects some of it into outer space. Dark space is very cold, about 3 K, so Earth radiates energy into it. For instance, heat transfer occurs from soil and grasses, the rate of which can be so rapid that frost can occur on clear summer evenings, even in warm latitudes.
The average...
The average...
1.8K
What are Populations and Communities?
37.7K
Overview
37.7K


