A Mathematical Reconstruction of Endothelial Cell Networks

O Bell, A Bell - arXiv preprint arXiv:2405.09748, 2024 - arxiv.org
Endothelial cells form the linchpin of vascular and lymphatic systems, creating intricate
networks that are pivotal for angiogenesis, controlling vessel permeability, and maintaining …

Topological methods for characterising spatial networks: A case study in tumour vasculature

HM Byrne, HA Harrington, R Muschel, G Reinert… - arXiv preprint arXiv …, 2019 - arxiv.org
Understanding how the spatial structure of blood vessel networks relates to their function in
healthy and abnormal biological tissues could improve diagnosis and treatment for diseases …

From whole-organ imaging to in-silico blood flow modeling: A new multi-scale network analysis for revisiting tissue functional anatomy

P Kennel, J Dichamp, C Barreau… - PLoS Computational …, 2020 - journals.plos.org
We present a multi-disciplinary image-based blood flow perfusion modeling of a whole
organ vascular network for analyzing both its structural and functional properties. We show …

[PDF][PDF] Mathematical modeling of the vascular system

J Liu, IS Lan, AL Marsden - arXiv preprint arXiv:2102.11064, 2021 - arxiv.org
The cardiovascular system is a closed circuit in which the heart pumps blood from the left
and right ventricles to the systemic and pulmonary circulations. The two circulations work …

Asymmetries arising from the space-filling nature of vascular networks

D Hunt, VM Savage - Physical Review E, 2016 - APS
Cardiovascular networks span the body by branching across many generations of vessels.
The resulting structure delivers blood over long distances to supply all cells with oxygen via …

TopoLa: a novel embedding framework for understanding complex networks

K Zheng, Q Feng, Y Li, Q Zhao, J Xu, J Wang - arXiv preprint arXiv …, 2024 - arxiv.org
Complex networks, which are the abstractions of many real-world systems, present a
persistent challenge across disciplines for people to decipher their underlying information …

Graph-assisted visualization of microvascular networks

P Govyadinov, T Womack, J Eriksen… - 2019 IEEE …, 2019 - ieeexplore.ieee.org
Microvessels are frequent targets for research into tissue development and disease
progression. These complex and subtle differences between networks are currently difficult …

[图书][B] Fundamentals of network biology

WJ Zhang - 2018 - World Scientific
Graph theory is one of the most important fundamental sciences of network biology. Graph
theory is a mathematical science with a long history (Chan et al., 1982; Gross and Yellen …

Topological characteristics of molecular networks

T Milenković, N Pržulj - Functional Coherence of Molecular Networks in …, 2011 - Springer
We present currently available computational methods for graph-theoretic analysis,
modeling, and comparison of biological networks. Biological network research is still in its …

A guide to conquer the biological network era using graph theory

M Koutrouli, E Karatzas, D Paez-Espino… - … in bioengineering and …, 2020 - frontiersin.org
Networks are one of the most common ways to represent biological systems as complex sets
of binary interactions or relations between different bioentities. In this article, we discuss the …