Mathematically modeling the biological properties of gliomas: A review
From MaRDI portal
Publication:888660
DOI10.3934/mbe.2015.12.879zbMath1371.92066OpenAlexW2038253312WikidataQ38479780 ScholiaQ38479780MaRDI QIDQ888660
Wyatt L. Ramey, Mark C. Preul, Erica M. Rutter, Nikolay L. Martirosyan, Yang Kuang, Eric J. Kostelich
Publication date: 2 November 2015
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2015.12.879
Related Items (10)
Traveling Waves of a Go-or-Grow Model of Glioma Growth ⋮ Traveling wave speed and profile of a ``go or grow glioblastoma multiforme model ⋮ Data driven modeling of pseudopalisade pattern formation ⋮ An imaging-informed mechanical framework to provide a quantitative description of brain tumour growth and the subsequent deformation of white matter tracts ⋮ An adjoint-based method for a linear mechanically-coupled tumor model: application to estimate the spatial variation of murine glioma growth based on diffusion weighted magnetic resonance imaging ⋮ Existence of traveling wave solutions to data-driven glioblastoma multiforme growth models with density-dependent diffusion ⋮ Glioma invasion and its interplay with nervous tissue and therapy: a multiscale model ⋮ On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma ⋮ A data-motivated density-dependent diffusion model of in vitro glioblastoma growth ⋮ Practically scheduling hormone therapy for prostate cancer using a mathematical model
Cites Work
- Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
- A hybrid model for cell proliferation and migration in glioblastoma
- An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects
- A mathematical model for pattern formation of glioma cells outside the tumor spheroid core
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications
- Modeling the effects of vasculature evolution on early brain tumor growth
- A mathematical model of the treatment and survival of patients with high-grade brain tumours
- A mathematical model for brain tumor response to radiation therapy
- Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
- Data Assimilation in Brain Tumor Models
- Analysis of a mathematical model of glioma cells outside the tumor spheroid core
- A solvable hyperbolic free boundary problem modelling tumour regrowth
- 'Go or Grow': the key to the emergence of invasion in tumour progression?
- Glioblastoma brain tumours: estimating the time from brain tumour initiation and resolution of a patient survival anomaly after similar treatment protocols
- A Multiple Scale Model for Tumor Growth
- MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW
This page was built for publication: Mathematically modeling the biological properties of gliomas: A review
