Sprout branching of tumour capillary network growth: Fractal dimension and multifractal structure

K Jian-Long, L Hang-Jun, W Feng-Min… - Chinese Physics …, 2008 - iopscience.iop.org
A tumour vascular network, characterized as an irregularly stochastic growth, is different
from the normal vascular network. We systematically analyse the dependence of the …

An analytical approach for tracking the tumor systems dynamics

S Bhattacharya, D Majumder - 2009 World Congress on Nature …, 2009 - ieeexplore.ieee.org
Solid tumor survives by the generation of micro-vessels around it. This phenomenon is
known as angiogenesis. Angiogenesis is governed by two factors, namely Tumor …

Mathematical modeling of liver tumor

W Weens - 2012 - theses.hal.science
As recently demonstrated for liver regeneration after drug-induced damage, organization
and growth processes can be systematically analyzed by a process chain of experiments …

A modeling framework for the spatiotemporal evolution of cancer tumors and study of immunotherapy based approaches in the case of glioblastoma

M Antonopoulos - 2021 - didaktorika.gr
Part I of this thesis aims at developing an extensible and computationally efficient framework
for in silico modeling of tumor growth in a 3-dimensional, inhomogeneous and time-varying …

Hybrid discrete-continuum model of tumor growth considering capillary points

J Lyu, S Xu, W Yao, Y Zhou, Q Long - Applied Mathematics and Mechanics, 2013 - Springer
A hybrid discrete-continuum model of tumor growth in the avascular phase considering
capillary points is established. The influence of the position of capillary points on tumor …

Bridging the gap between modeling of tumor growth and clinical imaging

B Abdollahi, N Dunlap, HB Frieboes - Abdomen and Thoracic Imaging: An …, 2013 - Springer
This chapter gives a brief overview of the biological processes involved in vascularized
tumor growth, followed by a summary of recent mathematical modeling to simulate the …

Modeling tumor blood vessel dynamics

LL Munn, C Kunert, JA Tyrrell - Mathematical Methods and Models in …, 2013 - Springer
Tumor blood vessels are structurally abnormal and functionally inefficient, resulting in
incomplete perfusion of tumor vessel networks and nonuniform delivery of …

Diffusional instability as a mechanism of tumor invasion

HB Frieboes, J Lowengrub… - Multiscale Cancer Model, 2010 - api.taylorfrancis.com
194◾ Hermann B. Frieboes, John Lowengrub, and Vittorio Cristini motility properties as a
function of these gradients. At the tumor scale, this can lead to invasive ngering and …

Nanorobots-assisted Detection of Multifocal Cancer: A Multimodal Optimization Perspective

S Shi, Y Chen, X Yao - arXiv preprint arXiv:1812.11844, 2018 - arxiv.org
We propose a new framework of computing-inspired multifocal cancer detection procedure
(MCDP). Under the rubric of MCDP, the tumor foci to be detected are regarded as solutions …

[PDF][PDF] An Analytical Approach For Tracking Tumor Angiogenesis

I Pan - researchgate.net
Solid tumor survives by the generation of micro-vessels around it. This phenomenon is
known as angiogenesis. Angiogenesis is governed by two factors, namely Tumor …