Macroscopic cerebral tumor growth modeling from medical images: A review

A Elazab, YM Abdulazeem, AM Anter, Q Hu… - IEEE …, 2018 - ieeexplore.ieee.org
Mathematical models have been ubiquitously employed in various applications. One of
these applications that arose in the past few decades is cerebral tumor growth modeling …

[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 …

Biphasic modeling of brain tumor biomechanics and response to radiation treatment

S Angeli, T Stylianopoulos - Journal of biomechanics, 2016 - Elsevier
Biomechanical forces are central in tumor progression and response to treatment. This
becomes more important in brain cancers where tumors are surrounded by tissues with …

Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth

RA El-Nabulsi, W Anukool - Acta Mechanica, 2023 - Springer
Pennes' bioheat equation is considered one of the most prevalent mathematical equations
used to estimate the temperature profile of a tumor in a human body when subjected to …

Modeling of glioma growth using modified reaction-diffusion equation on brain MR images

Y Zhang, PX Liu, W Hou - Computer Methods and Programs in Biomedicine, 2022 - Elsevier
Abstract Background and Objective: Modeling of glioma growth and evolution is of key
importance for cancer diagnosis, predicting clinical progression and improving treatment …

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 …

Biomechanical modelling of spinal tumour anisotropic growth

I Katsamba, P Evangelidis… - … of the Royal …, 2020 - royalsocietypublishing.org
Biomechanical abnormalities of solid tumours involve stiffening of the tissue and
accumulation of mechanical stresses. Both abnormalities affect cancer cell proliferation and …

[HTML][HTML] Mathematical modelling of spatio-temporal glioma evolution

M Papadogiorgaki, P Koliou, X Kotsiakis… - Theoretical Biology and …, 2013 - Springer
Background Gliomas are the most common types of brain cancer, well known for their
aggressive proliferation and the invasive behavior leading to a high mortality rate. Several …

An adaptive semi‐implicit finite element solver for brain cancer progression modeling

K Tzirakis, CP Papanikas, V Sakkalis… - International Journal …, 2023 - Wiley Online Library
Glioblastoma is the most aggressive and infiltrative glioma, classified as Grade IV, with the
poorest survival rate among patients. Accurate and rigorously tested mechanistic in silico …

[HTML][HTML] Inducing biomechanical heterogeneity in brain tumor modeling by MR elastography: effects on tumor growth, vascular density and delivery of therapeutics

C Harkos, SF Svensson, KE Emblem, T Stylianopoulos - Cancers, 2022 - mdpi.com
Simple Summary Biomechanical forces aggravate brain tumor progression. In this study,
magnetic resonance elastography (MRE) is employed to extract tissue biomechanical …