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 …
limited life expectancy. The most important hallmark of this type of tumour is its invasive …
[HTML][HTML] In vitro biomimetic models for glioblastoma-a promising tool for drug response studies
T Stanković, T Ranđelović, M Dragoj, SS Burić… - Drug Resistance …, 2021 - Elsevier
The poor response of glioblastoma to current treatment protocols is a consequence of its
intrinsic drug resistance. Resistance to chemotherapy is primarily associated with …
intrinsic drug resistance. Resistance to chemotherapy is primarily associated with …
The LDL-HDL profile determines the risk of atherosclerosis: a mathematical model
W Hao, A Friedman - PloS one, 2014 - journals.plos.org
Atherosclerosis, the leading death in the United State, is a disease in which a plaque builds
up inside the arteries. As the plaque continues to grow, the shear force of the blood flow …
up inside the arteries. As the plaque continues to grow, the shear force of the blood flow …
Spatiotemporal dynamics of a glioma immune interaction model
S Khajanchi, JJ Nieto - Scientific Reports, 2021 - nature.com
We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells,
macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno …
macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno …
Mathematical models for cell migration: a non-local perspective
We provide a review of recent advancements in non-local continuous models for migration,
mainly from the perspective of its involvement in embryonal development and cancer …
mainly from the perspective of its involvement in embryonal development and cancer …
A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
KJ Painter, JM Bloomfield, JA Sherratt… - Bulletin of mathematical …, 2015 - Springer
Instructing others to move is fundamental for many populations, whether animal or cellular.
In many instances, these commands are transmitted by contact, such that an instruction is …
In many instances, these commands are transmitted by contact, such that an instruction is …
Biological modelling with nonlocal advection diffusion equations
The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …
phenomena has gained considerable traction in recent years. For cell populations, these …
The role of the tumor microenvironment in glioblastoma: A mathematical model
Glioblastoma multiforme is one of the deadliest human cancers and is characterized by
tumor cells that hijack immune system cells in a deadly symbiotic relationship. Microglia and …
tumor cells that hijack immune system cells in a deadly symbiotic relationship. Microglia and …
The impact of adhesion on cellular invasion processes in cancer and development
KJ Painter, NJ Armstrong, JA Sherratt - Journal of theoretical biology, 2010 - Elsevier
In this paper we consider a simple continuous model to describe cell invasion, incorporating
the effects of both cell–cell adhesion and cell–matrix adhesion, along with cell growth and …
the effects of both cell–cell adhesion and cell–matrix adhesion, along with cell growth and …
Mechanistic modeling of the effects of myoferlin on tumor cell invasion
MC Eisenberg, Y Kim, R Li… - Proceedings of the …, 2011 - National Acad Sciences
Myoferlin (MYOF) is a member of the evolutionarily conserved ferlin family of proteins, noted
for their role in a variety of membrane processes, including endocytosis, repair, and …
for their role in a variety of membrane processes, including endocytosis, repair, and …