Tumor ablation due to inhomogeneous anisotropic diffusion in generic three-dimensional topologies

E Kara, A Rahman, E Aulisa, S Ghosh - Physical Review E, 2020 - APS
In recent decades computer-aided technologies have become prevalent in medicine,
however, cancer drugs are often only tested on in vitro cell lines from biopsies. We derive a …

In Silico Neuro-Oncology: Brownian Motion-Based Mathematical Treatment as a Potential Platform for Modeling the Infiltration of Glioma Cells into Normal Brain …

M Antonopoulos, G Stamatakos - Cancer informatics, 2015 - journals.sagepub.com
Intensive glioma tumor infiltration into the surrounding normal brain tissues is one of the
most critical causes of glioma treatment failure. To quantitatively understand and …

Modeling of drug diffusion in a solid tumor leading to tumor cell death

A Rahman, S Ghosh, R Pal - Physical Review E, 2018 - APS
It has been shown recently that changing the fluidic properties of a drug can improve its
efficacy in ablating solid tumors. We develop a modeling framework for tumor ablation and …

Physics-based multiscale mass transport model in drug delivery and tumor microenvironment

A Ziemys, M Kojic, M Ferrari - bioRxiv, 2015 - biorxiv.org
We describe multiscale transport model, which was developed to simulate drug diffusion
and convection in tissues and drug vectors. Models rely on material properties and physical …

[PDF][PDF] DTI-based multiscale models for glioma invasion

A Hunt - 2018 - kluedo.ub.rptu.de
Certain brain tumours are very hard to treat with radiotherapy due to their irregular shape
caused by the infiltrative nature of the tumour cells. To enhance the estimation of the tumour …

A patient-specific anisotropic diffusion model for brain tumour spread

A Swan, T Hillen, JC Bowman, AD Murtha - Bulletin of mathematical …, 2018 - Springer
Gliomas are primary brain tumours arising from the glial cells of the nervous system. The
diffuse nature of spread, coupled with proximity to critical brain structures, makes treatment a …

Prediction of convection-enhanced drug delivery to the human brain

AA Linninger, MR Somayaji, M Mekarski… - Journal of Theoretical …, 2008 - Elsevier
The treatment for many neurodegenerative diseases of the central nervous system (CNS)
involves the delivery of large molecular weight drugs to the brain. The blood brain barrier …

Computational methods for predicting drug transport in anisotropic and heterogeneous brain tissue

AA Linninger, MR Somayaji, T Erickson, X Guo… - Journal of …, 2008 - Elsevier
Effective drug delivery for many neurodegenerative diseases or tumors of the central
nervous system is challenging. Targeted invasive delivery of large macromolecules such as …

Effect of heterogeneous microvasculature distribution on drug delivery to solid tumour

W Zhan, W Gedroyc, XY Xu - Journal of Physics D: Applied …, 2014 - iopscience.iop.org
Most of the computational models of drug transport in vascular tumours assume a uniform
distribution of blood vessels through which anti-cancer drugs are delivered. However, it is …

Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings

C Engwer, A Hunt, C Surulescu - … and biology: a journal of the …, 2016 - academic.oup.com
Glioma is a common type of primary brain tumour, with a strongly invasive potential, often
exhibiting non-uniform, highly irregular growth. This makes it difficult to assess the degree of …