Spatiotemporal dynamics of a glioma immune interaction model
S Khajanchi, JJ Nieto - Scientific Reports, 2021 - nature.com
… We report a mathematical model which … mathematical model of high-grade glioblastoma
evolution that concentrated on the relative balance of the migration and proliferation of glioma …
evolution that concentrated on the relative balance of the migration and proliferation of glioma …
Data-driven spatio-temporal modelling of glioblastoma
… This article presents an overview of mathematical models that provide means to
scrutinize and predict the spatial and temporal evolution of tumours. While we focus on …
scrutinize and predict the spatial and temporal evolution of tumours. While we focus on …
In silico mathematical modelling for glioblastoma: a critical review and a patient-specific case
… spatio-temporal model for cancer evolution, which still followed an exponential law for cells
duplication, but also took cellular diffusion into account [29,40]. This work is the basis of the …
duplication, but also took cellular diffusion into account [29,40]. This work is the basis of the …
Mathematical modelling of glioblastomas invasion within the brain: a 3D multi-scale moving-boundary approach
… -scale moving boundary modelling of 3D brain gliomas in two key … To describe the
spatio-temporal evolution of the cancer cell … Hence, the spatio-temporal dynamics of the cancer …
spatio-temporal evolution of the cancer cell … Hence, the spatio-temporal dynamics of the cancer …
A stochastic hierarchical model for low grade glioma evolution
… The first mathematical models for the study of brain tumours … , the mathematical modelling
of glioma evolution has evolved … models to macroscopic and multiscale frameworks. Discrete …
of glioma evolution has evolved … models to macroscopic and multiscale frameworks. Discrete …
A time-resolved experimental–mathematical model for predicting the response of glioma cells to single-dose radiation therapy
J Liu, DA Hormuth, T Davis, J Yang… - Integrative …, 2021 - academic.oup.com
… to calibrate the model parameters for the 9L and C6 glioma cell line. Given these calibrated
parameters and the initial cell number, we then predict the temporal evolution of tumor cell …
parameters and the initial cell number, we then predict the temporal evolution of tumor cell …
A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors
J Jiménez-Sánchez, Á Martínez-Rubio… - PLoS computational …, 2021 - journals.plos.org
… of our modeling approach for the case of glioblastoma, a … , tracking the spatio-temporal
evolution of tumor heterogeneity … computer simulations of our mathematical model. The sum of …
evolution of tumor heterogeneity … computer simulations of our mathematical model. The sum of …
A mesoscopic simulator to uncover heterogeneity and evolutionary dynamics in tumors
JS Juan, MR Álvaro, P Anton, PB Julián, A Youness… - bioRxiv, 2020 - biorxiv.org
… of our modeling approach for the case of glioblastoma, a … , tracking the spatio-temporal
evolution of tumor heterogeneity … computer simulations of our mathematical model. The sum of …
evolution of tumor heterogeneity … computer simulations of our mathematical model. The sum of …
Evidence for hypoxia increasing the tempo of evolution in glioblastoma
… spatio-temporal dynamics to which the study of fixed tissue or molecular biology is typically
blind. In this work, we take a combined mathematical model … increases evolutionary tempo …
blind. In this work, we take a combined mathematical model … increases evolutionary tempo …
Tumor volume dynamics as an early biomarker for patient-specific evolution of resistance and progression in recurrent high-grade glioma
… response dynamics can calibrate a mathematical model to predict patient-… mathematical
model that simulates and forecasts tumor volume dynamics with rate of resistance evolution …
model that simulates and forecasts tumor volume dynamics with rate of resistance evolution …