Nonlinear waves in a simple model of high-grade glioma
From MaRDI portal
Publication:4597664
DOI10.21042/AMNS.2016.2.00035zbMath1381.92039MaRDI QIDQ4597664
Arturo Álvarez-Arenas, Juan Belmonte-Beitia, Gabriel F. Calvo
Publication date: 14 December 2017
Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)
Stability in context of PDEs (35B35) Medical applications (general) (92C50) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items
Optimal control problems for differential equations applied to tumor growth: state of the art ⋮ Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas ⋮ Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Methods and models in mathematical biology. Deterministic and stochastic approaches
- Exact bright and dark spatial soliton solutions in saturable nonlinear media
- Persistence of travelling waves in a generalized Fisher equation
- Explicit solutions of Fisher's equation for a special wave speed
- Geometric singular perturbation theory for ordinary differential equations
- Mathematical biology. Vol. 1: An introduction.
- Front propagation and segregation in a reaction-diffusion model with cross-diffusion
- Identification of intrinsic \textit{in vitro} cellular mechanisms for glioma invasion
- Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications
- Existence of travelling wave solutions for a Fisher-Kolmogorov system with biomedical applications
- Mathematical modeling of biological processes
- Symmetry analysis and exact solutions for a generalized Fisher equation in cylindrical coordinates
- Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
- 'Go or Grow': the key to the emergence of invasion in tumour progression?
- Dynamics of Cancer
- Combined therapies of antithrombotics and antioxidants delayin silicobrain tumour progression
- Turing instability of anomalous reaction–anomalous diffusion systems
- Introduction to Theoretical Neurobiology
- Maximal displacement of branching brownian motion
- Multiplier method and exact solutions for a density dependent reaction-diffusion equation
- Applied mathematics and nonlinear sciences in the war on cancer
- On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions