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Angiogenesis is the process wherein endothelial cells (ECs) form sprouts that elongate from the pre-existing vasculature to create new vascular networks. In addition to its essential role in normal development, angiogenesis plays a vital…

Tissues and Organs · Quantitative Biology 2024-01-17 Daria Stepanova , Helen M. Byrne , Philip K. Maini , Tomás Alarcón

Cell polarization requires redistribution of specific proteins to the nascent front and back of a eukarytotic cell. Among these proteins are Rac and Rho, members of the small GTPase family that regulate the actin cytoskeleton. Rac promotes…

Cell Behavior · Quantitative Biology 2019-08-29 Andreas Buttenschön , Yue Liu , Leah Edelstein-Keshet

A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from an existing vascular network. Recently a one-dimensional…

Pattern Formation and Solitons · Physics 2022-01-11 Tatsuya Hayashi , Fumitaka Yura , Jun Mada , Hiroki Kurihara , Tetsuji Tokihiro

Exchanges between the blood compartment and the surrounding tissues require a tight regulation by the endothelial barrier. Recent reports inferred that VE-cadherin, an endothelial specific cell-cell adhesion molecule, plays a pivotal role…

Cell Behavior · Quantitative Biology 2008-12-31 Julie Gavard

Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a mesoscopic lattice-based model of angiogenesis, in which…

Tissues and Organs · Quantitative Biology 2016-03-02 Fabian Spill , Pilar Guerrero , Tomas Alarcon , Philip K. Maini , Helen M. Byrne

Angiogenesis involves the formation of new blood vessels by sprouting or splitting of existing blood vessels. During sprouting, a highly motile type of endothelial cell, called the tip cell, migrates from the blood vessels followed by stalk…

Angiogenesis, the development of new vasculature, is a critical process in the growth of new tumors. Driven by a goal to understand this aspect of cancer proliferation, I develop a discrete computationally optimized mathematical model of…

Cell Behavior · Quantitative Biology 2016-02-11 Dibya Jyoti Ghosh

We discuss the characteristics of the patterns of the vascular networks in a mathematical model for angiogenesis. Based on recent in vitro experiments, this mathematical model assumes that the elongation and bifurcation of blood vessels…

Pattern Formation and Solitons · Physics 2021-06-15 Jun Mada , Tetsuji Tokihiro

Due to over-metabolism, the tumour cells become hypoxic. To overcome this situation tumour cells secret several chemical substrates to attract nearby blood vessels towards it (angiogenesis). Transition from avascular to vascular tumour is…

Biological Physics · Physics 2019-09-06 Sounak Sadhukhan , S. K. Basu

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez

Many cellular processes require a polarization axis which generally initially emerges as an inhomogeneous distribution of molecular markers in the cell. We present a simple analytical model of a general mechanism of cell polarization taking…

Cell Behavior · Quantitative Biology 2009-10-21 Rhoda J. Hawkins , Olivier Benichou , Matthieu Piel , Raphael Voituriez

The experimental actualisation of organoids modelling organs from brains to pancreases has revealed that much of the diverse morphologies of organs are emergent properties of simple intercellular "rules" and not the result of top-down…

Tissues and Organs · Quantitative Biology 2019-10-07 Julius B. Kirkegaard , Bjarke F. Nielsen , Ala Trusina , Kim Sneppen

Angiogenesis - the growth of new blood vessels from a pre-existing vasculature - is key in both physiological processes and on several pathological scenarios such as cancer progression or diabetic retinopathy. For the new vascular networks…

Biological Physics · Physics 2018-06-13 Maurício Moreira-Soares , Rita Coimbra , Luís Rebelo , João Carvalho , Rui D. M. Travasso

The nervous system is today recognized to play an important role in the development of cancer. Indeed, neurons extend long processes (axons) that grow and infiltrate tumors in order to regulate the progression of the disease in a positive…

Dynamical Systems · Mathematics 2022-05-25 Sophie Chauvet , Florence Hubert , Fanny Mann , Mathieu Mezache

Migrating cells possess intracellular gradients of Rho GTPases, but it is unknown whether these shallow gradients themselves can induce motility. Here we describe a new method to present cells with induced linear gradients of active,…

Based on recent experiments with time-lapse fluorescent imaging, we propose a cellular automaton model for the dynamics of vascular endothelial cells (ECs) in angiogenic morphogenesis. The model successfully reproduces cell mixing behavior,…

Cellular Automata and Lattice Gases · Physics 2015-07-22 Keisuke Matsuya , Hiroki Kurihara , Tetsuji Tokihiro

Cell migration is a fundamental process underlying the survival and function of both unicellular and multicellular organisms. Crawling motility in eukaryotic cells arises from cyclic protrusion and retraction driven by the cytoskeleton,…

Biological Physics · Physics 2025-11-04 Blaž Ivšić , Igor Weber , Piotr Nowakowski , Ana-Sunčana Smith

Control of the cytoskeleton and mechanical contacts with the extracellular environment are essential component of motility in eukaryotic cells. In the absence of signals, cells continuously rebuild the cytoskeleton and periodically extend…

Cell Behavior · Quantitative Biology 2013-09-27 Varunyu Khamviwath , Hans G. Othmer

Angiogenesis is the formation of new blood vessels from the existing vessels. During tumour angiogenesis, tumour cells secret a number of chemical substrates called tumour angiogenic factors (TAFs). These factors diffuse through the…

Tissues and Organs · Quantitative Biology 2019-11-07 Sounak Sadhukhan , S. K. Basu

Tumor angiogenesis concerns the development of new blood vessels supplying the necessary nutrients for the further development of existing tumor cells. The entire process is complex, involving the production and consumption of chemicals,…

Cell Behavior · Quantitative Biology 2024-03-12 Adéla Šterberová , Andreea Dincu , Stijn Oudshoorn , Vincent van Duinen , Lu Cao
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