A personalized mathematical tool for neuro-oncology: A clinical case study

A Agosti, C Giverso, E Faggiano, A Stamm… - International Journal of …, 2018 - Elsevier
This work evaluates the predictive ability of a novel personalized computational tool for
simulating the growth of brain tumours using the neuroimaging data collected during one …

In-silico oncology: an approximate model of brain tumor mass effect based on directly manipulated free form deformation

S Becker, A Mang, A Toma, TM Buzug - International Journal of Computer …, 2010 - Springer
Purpose The present work introduces a novel method for approximating mass effect of
primary brain tumors. Methods The spatio-temporal dynamics of cancerous cells are …

An optimized generic cerebral tumor growth modeling framework by coupling biomechanical and diffusive models with treatment effects

A Elazab, AM Anter, H Bai, Q Hu, Z Hussain, D Ni… - Applied Soft …, 2019 - Elsevier
Mathematical modeling of cerebral tumor growth is of great importance in clinics. It can help
in understanding the physiology of tumor growth, future prognosis of tumor shape and …

In silico mathematical modelling for glioblastoma: a critical review and a patient-specific case

J Falco, A Agosti, IG Vetrano, A Bizzi, F Restelli… - Journal of clinical …, 2021 - mdpi.com
Glioblastoma extensively infiltrates the brain; despite surgery and aggressive therapies, the
prognosis is poor. A multidisciplinary approach combining mathematical, clinical and …

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 …

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 …

Modeling glioma growth and mass effect in 3D MR images of the brain

C Hogea, C Davatzikos, G Biros - International Conference on Medical …, 2007 - Springer
In this article, we propose a framework for modeling glioma growth and the subsequent
mechanical impact on the surrounding brain tissue (mass-effect) in a medical imaging …

A numerical handling of the boundary conditions imposed by the skull on an inhomogeneous diffusion-reaction model of glioblastoma invasion into the brain: Clinical …

GS Stamatakos, SG Giatili - Cancer informatics, 2017 - journals.sagepub.com
A novel explicit triscale reaction-diffusion numerical model of glioblastoma multiforme tumor
growth is presented. The model incorporates the handling of Neumann boundary conditions …

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 …

Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles

M Conte, Y Dzierma, S Knobe… - Mathematical Models and …, 2023 - World Scientific
A multiscale model for glioma spread in brain tissue under the influence of vascularization
and vascular endothelial growth factors is proposed. It accounts for the interplay between …