Some implications of scale relativity theory in avascular stages of growth of solid tumors in the presence of an immune system response
From MaRDI portal
Publication:1783599
DOI10.1016/j.jtbi.2011.05.001zbMath1397.92316OpenAlexW2034885512WikidataQ51566299 ScholiaQ51566299MaRDI QIDQ1783599
D. Iancu, Bogdan A. Stana, Manuela Gîrţu, Evelina Moraru, Maricel Agop, Călin Gh. Buzea
Publication date: 21 September 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2011.05.001
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
- The time dependent Ginzburg-Landau equation in fractal space-time
- On the mechanics of a growing tumor
- A new ghost cell/level set method for moving boundary problems: application to tumor growth
- Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
- Modelling the role of cell-cell adhesion in the growth and development of carcinomas
- Scale relativity: from quantum mechanics to chaotic dynamics
- Nonlinear simulation of tumor growth
- A mathematical model of the stress induced during avascular tumour growth
- Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Growth of necrotic tumors in the presence and absence of inhibitors
- A cellular automaton model for tumour growth in inhomogeneous environment
- A cellular automata model of tumor-immune system interactions
- Nonlinear simulation of the effect of microenvironment on tumor growth
- Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
- Nonlinear three-dimensional simulation of solid tumor growth
- Fractionalization of the complex-valued Brownian motion of order \(n\) using Riemann-Liouville derivative. Applications to mathematical finance and stochastic mechanics
- Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
- Degenerate sterile neutrino dark matter in the cores of galaxies
- Stress-Modulated Growth
- Quadratic relativistic invariant and metric form in quantum mechanics
- Quantum–classical transition in scale relativity
- THE THEORY OF SCALE RELATIVITY
- A linear-elastic model of anisotropic tumour growth
- ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
- Modelling solid tumour growth using the theory of mixtures
- Scale calculus and the Schrödinger equation
- A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues II: Solutions to the Biphasic Equations for a Multicell Spheroid
- Multiscale Modeling and Mathematical Problems Related to Tumor Evolution and Medical Therapy
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion