在转移性调节网络中的Cusp分叉
Brenda Delamonica1, Gábor Balázsi2, Michael Shub3
1Applied Mathematics and Statistics Department, Stony Brook University, Stony Brook, NY 11794, USA.
Journal of theoretical biology
|October 7, 2023
概括
使用普通微分方程和分叉理论的数学建模为转移性乳腺癌提供了新的见解. 一个尖端分叉揭示了不同的细胞过渡途径,改善了对癌症转移的理解.
科学领域:
- 数学生物学 数学生物学
- 动态系统理论 动态系统理论
- 癌症转移研究 癌症转移研究
背景情况:
- 预测癌症转移仍然是瘤学的重大挑战.
- 当前的预测模型通常采用深度学习或随机过程.
- 普通微分方程 (ODEs) 提供了一个模拟细胞状态过渡随时间变化的框架.
研究的目的:
- 探索一个长期存在的数学概念的应用,分叉理论,用于建模转移性乳腺癌.
- 在癌症转移的背景下,研究两个参数分叉的研究不足的领域.
- 用数学理论来定义转移转移的新视角.
主要方法:
- 利用普通微分方程 (ODEs) 来建模受环境变量影响的细胞状态过渡.
- 应用了分叉理论中的概念,特别是两个参数的分叉,以分析系统动态.
- 专注于尖端分叉现象,以区分转移性细胞状态过渡模式.
主要成果:
- 证明一个尖端分叉可以分离两种不同的转移性细胞状态过渡模式.
- 提供了基于数学原理的理论框架来理解这些过渡.
- 建立了定义和分析乳腺癌系统中转移转移的新视角.
结论:
- 双参数分叉理论,特别是尖端分叉,为癌症转移的复杂动态提供了宝贵的见解.
- 这种数学方法提供了对转移潜力的基本理解.
- 提出的方法可以在基础生物学研究和临床应用中帮助理解转移.
更多相关视频
10:44Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
Published on: December 7, 2021
2.2K
05:02Modeling Brain Metastasis Via Tail-Vein Injection of Inflammatory Breast Cancer Cells
Published on: February 4, 2021
3.4K
相关概念视频
Interactions Between Signaling Pathways
6.3K
Signaling cascades usually lack linearity. Multiple pathways interact and regulate one another, allowing cells to integrate and respond to diverse environmental stimuli.
Convergence and divergence, and cross-talk between signaling pathways
Two distinct signaling pathways can converge on a single functional unit, which may either be a single protein or a complex of proteins. The response is either functionally distinct or synergistic between the two pathways but different from the response...
Convergence and divergence, and cross-talk between signaling pathways
Two distinct signaling pathways can converge on a single functional unit, which may either be a single protein or a complex of proteins. The response is either functionally distinct or synergistic between the two pathways but different from the response...
6.3K
Cis-regulatory Sequences
9.9K
Cis-regulatory sequences are short fragments of non-coding DNA that are present on the same chromosomes as the genes that they regulate. These fragments serve as binding sites for transcriptional regulators, proteins that are responsible for controlling gene transcription and differential gene expression across cell types in eukaryotes. Cis-regulatory sequences can be close to the gene of interest or thousands of bases away in the DNA sequence; however, those sequences that are further away are...
9.9K
Metastasis
5.6K
Metastasis is the spread of cancer cells from the original site to distant locations in the body. Cancer cells can spread via blood vessels (hematogenous) as well as lymph vessels in the body.
Epithelial-to-Mesenchymal Transition
The epithelial-to-mesenchymal transition or EMT is a developmental process commonly observed in wound healing, embryogenesis, and cancer metastasis. EMT is induced by transforming growth factor-beta (TGF-β) or receptor tyrosine kinase (RTK) ligands, which further...
Epithelial-to-Mesenchymal Transition
The epithelial-to-mesenchymal transition or EMT is a developmental process commonly observed in wound healing, embryogenesis, and cancer metastasis. EMT is induced by transforming growth factor-beta (TGF-β) or receptor tyrosine kinase (RTK) ligands, which further...
5.6K
Master Transcription Regulators
6.9K
Master transcription regulators are regulatory proteins that are predominantly responsible for regulating the expression of multiple genes. Often these genes work in concert to drive a complex process. Activation of a master transcription regulator can lead to a cascade of transcriptional activation necessary for that outcome. These regulators can directly bind to the regulatory sequences of the various genes involved, or they can indirectly regulate transcription by binding to regulatory...
6.9K
Non-Canonical Wnt Signaling Pathways
7.3K
Wnt is a zygotic effect gene that is expressed during very early embryonic development. It regulates various processes in animals starting from early development through the adult stage, such as organogenesis in the embryo and maintenance of neuronal and blood stem cells. Wnt proteins can induce a wide variety of intracellular pathways depending upon the specific abilities of different Wnt ligands to form a complex with shared and cognate receptors in the presence of different co-receptors. The...
7.3K
Hedgehog Signaling Pathway
7.4K
The Hedgehog gene (Hh) was first discovered due to its control of the growth of disorganized, hair-like bristles phenotype in Drosophila, much like hedgehog spines. Hh plays a crucial role in the development of organs and the maintenance of homeostasis in both invertebrates and vertebrates. However, while Drosophila has only one Hh protein, mammals have multiple functional Hedgehog proteins - Sonic (Shh), Desert (Dhh), and Indian Hedgehog (Ihh). All of these homologous proteins have adapted to...
7.4K
