A diffusion-driven phase-field model for simulation of glioma growth

Modelling glioma remains a critical area of research due to its poor prognosis. Phase-field modelling is an effective computational approach to simulate the dynamics of biological systems, including tumor growth like glioma. Here, the growth of a tumor is studied in the proximity of a blood artery that nourishes the tumor. The mathematical model reflects a diffusion-driven growth using a phase-field approach coupled with mechanical deformation. The numerical implementation of the mathematical model is realized in an FEM framework. Several numerical examples are provided to show the applicability of the model especially in clinical practices.

Authors

Institutions

Publication Details

Journal
Computer Methods in Biomechanics & Biomedical Engineering
Published
2025-08-09
DOI
https://doi.org/10.1080/10255842.2025.2544792
Primary Topic
Mathematical Biology Tumor Growth
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A diffusion-driven phase-field model for simulation of glioma growth

Majid Esmaeilzadeh, Meisam Soleimani, Matthias Simon, Philipp Junker et al.
1 links
Computer Methods in Biomechanics & Biomedical Engineering
Mathematical Biology Tumor Growth
article

A diffusion-driven phase-field model for simulation of glioma growth

Majid Esmaeilzadeh, Meisam Soleimani, Matthias Simon, Philipp Junker, Harold F. Hounchonou, Joachim K. Krauss
article en

Abstract

Modelling glioma remains a critical area of research due to its poor prognosis. Phase-field modelling is an effective computational approach to simulate the dynamics of biological systems, including tumor growth like glioma. Here, the growth of a tumor is studied in the proximity of a blood artery that nourishes the tumor. The mathematical model reflects a diffusion-driven growth using a phase-field approach coupled with mechanical deformation. The numerical implementation of the mathematical model is realized in an FEM framework. Several numerical examples are provided to show the applicability of the model especially in clinical practices.

Computer Methods in Biomechanics & Biomedical Engineering
Leibniz University Hannover (DE), Bielefeld University (DE), Medizinische Hochschule Hannover (DE), Bethel University (US)
Deutsche Forschungsgemeinschaft
No poverty
Openalex Percentile: Top 76%
Mathematical Biology Tumor Growth
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.