An image-driven parameter estimation problem for a reaction–diffusion glioma growth model with mass effects

C Hogea, C Davatzikos, G Biros - Journal of mathematical biology, 2008 - Springer
We present a framework for modeling gliomas growth and their mechanical impact on the
surrounding brain tissue (the so-called, mass-effect). We employ an Eulerian continuum …

An inverse problem formulation for parameter estimation of a reaction–diffusion model of low grade gliomas

A Gholami, A Mang, G Biros - Journal of mathematical biology, 2016 - Springer
We present a numerical scheme for solving a parameter estimation problem for a model of
low-grade glioma growth. Our goal is to estimate the spatial distribution of tumor …

Towards the personalized treatment of glioblastoma: integrating patient-specific clinical data in a continuous mechanical model

MC Colombo, C Giverso, E Faggiano, C Boffano… - PLoS …, 2015 - journals.plos.org
Glioblastoma multiforme (GBM) is the most aggressive and malignant among brain tumors.
In addition to uncontrolled proliferation and genetic instability, GBM is characterized by a …

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 …

Glioma dynamics and computational models: a review of segmentation, registration, and in silico growth algorithms and their clinical applications

ED Angelini, O Clatz, E Mandonnet… - Current Medical …, 2007 - ingentaconnect.com
Tracking gliomas dynamics on MRI has became more and more important for therapeutic
management. Powerful computational tools have been recently developed in this context …

Multiscale modeling for image analysis of brain tumor studies

S Bauer, C May, D Dionysiou… - IEEE transactions on …, 2011 - ieeexplore.ieee.org
Image-based modeling of tumor growth combines methods from cancer simulation and
medical imaging. In this context, we present a novel approach to adapt a healthy brain atlas …

[HTML][HTML] Quantifying glioma cell growth and invasion in vitro

KR Swanson - Mathematical and Computer Modelling, 2008 - Elsevier
A mathematical model has been developed to describe and quantify the growth and
invasion of gliomas (the most common type of primary brain tumors). The model has already …

Hybrid mathematical model of glioma progression

ML Tanaka, W Debinski, IK Puri - Cell proliferation, 2009 - Wiley Online Library
Objectives: Gliomas are an important form of brain cancer, with high mortality rate.
Mathematical models are often used to understand and predict their behaviour. However …

A computational framework for the personalized clinical treatment of glioblastoma multiforme

A Agosti, C Cattaneo, C Giverso… - ZAMM‐Journal of …, 2018 - Wiley Online Library
In this work, we develop a computational tool to predict the patient‐specific evolution of a
highly malignant brain tumour, the glioblastoma multiforme (GBM), and its response to …

Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion

KR Swanson, C Bridge, JD Murray… - Journal of the neurological …, 2003 - Elsevier
Over the last 10 years increasingly complex mathematical models of cancerous growths
have been developed, especially on solid tumors, in which growth primarily comes from …