The biology and mathematical modelling of glioma invasion: a review

JCL Alfonso, K Talkenberger… - Journal of the …, 2017 - royalsocietypublishing.org
Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …

Advances in glioblastoma multiforme treatment: new models for nanoparticle therapy

E Ozdemir-Kaynak, AA Qutub… - Frontiers in physiology, 2018 - frontiersin.org
The most lethal form of brain cancer, glioblastoma multiforme, is characterized by rapid
growth and invasion facilitated by cell migration and degradation of the extracellular matrix …

[图书][B] Introduction to mathematical oncology

Y Kuang, JD Nagy, SE Eikenberry - 2018 - taylorfrancis.com
Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …

[HTML][HTML] Towards patient-specific modeling of brain tumor growth and formation of secondary nodes guided by DTI-MRI

S Angeli, KE Emblem, P Due-Tonnessen… - NeuroImage: Clinical, 2018 - Elsevier
Previous studies to simulate brain tumor progression, often investigate either temporal
changes in cancer cell density or the overall tissue-level growth of the tumor mass. Here, we …

3D mathematical modeling of glioblastoma suggests that transdifferentiated vascular endothelial cells mediate resistance to current standard-of-care therapy

H Yan, M Romero-López, LI Benitez, K Di, HB Frieboes… - Cancer research, 2017 - AACR
Glioblastoma (GBM), the most aggressive brain tumor in human patients, is decidedly
heterogeneous and highly vascularized. Glioma stem/initiating cells (GSC) are found to play …

Mathematical analysis of glioma growth in a murine model

EM Rutter, TL Stepien, BJ Anderies, JD Plasencia… - Scientific reports, 2017 - nature.com
Abstract Five immunocompetent C57BL/6-cBrd/cBrd/Cr (albino C57BL/6) mice were injected
with GL261-luc2 cells, a cell line sharing characteristics of human glioblastoma multiforme …

[HTML][HTML] Single-cell tracking reveals super-spreading brain cancer cells with high persistence

A Nousi, MT Søgaard, M Audoin, L Jauffred - Biochemistry and Biophysics …, 2021 - Elsevier
Cell migration is a fundamental characteristic of vital processes such as tissue
morphogenesis, wound healing and immune cell homing to lymph nodes and inflamed or …

Traveling waves of a go-or-grow model of glioma growth

TL Stepien, EM Rutter, Y Kuang - SIAM Journal on Applied Mathematics, 2018 - SIAM
Glioblastoma multiforme is a deadly brain cancer in which tumor cells excessively proliferate
and migrate. The first mathematical models of the spread of gliomas featured reaction …

A data-motivated density-dependent diffusion model of in vitro glioblastoma growth

TL Stepien, EM Rutter, Y Kuang - Mathematical Biosciences & …, 2015 - aimsciences.org
Glioblastoma multiforme is an aggressive brain cancer that is extremely fatal. It is
characterized by both proliferation and large amounts of migration, which contributes to the …

Glioma invasion and its interplay with nervous tissue and therapy: A multiscale model

M Conte, L Gerardo-Giorda, M Groppi - Journal of theoretical biology, 2020 - Elsevier
A multiscale mathematical model for glioma cell migration and proliferation is proposed,
taking into account a possible therapeutic approach. Starting with the description of …