Influence of non-local diffusion in avascular tumour growth
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Publication:5103863
DOI10.1177/1081286520975086OpenAlexW3118553526MaRDI QIDQ5103863
Ariel Ramírez-Torres, Alfio Grillo, Salvatore Di Stefano
Publication date: 9 September 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286520975086
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Cites Work
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- A history of the study of solid tumour growth: the contribution of mathematical modelling
- The mathematics and mechanics of biological growth
- A poroplastic model of structural reorganisation in porous media of biomechanical interest
- Perspectives on biological growth and remodeling
- Plane stress problems in nonlocal elasticity: finite element solutions with a strain-difference-based formulation
- On the mechanics of a growing tumor
- Long-range cohesive interactions of non-local continuum faced by fractional calculus
- Fractional vector calculus and fractional Maxwell's equations
- The insight of mixtures theory for growth and remodeling
- Uniform materials and the multiplicative decomposition of the deformation gradient in finite elasto-plasticity
- Thermomechanics of viscoplasticity. Fundamentals and applications
- Generalized wave equation in nonlocal elasticity
- Functional analysis, Sobolev spaces and partial differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Growth and balance.
- Numerical methods for the solution of partial differential equations of fractional order.
- Eshelby's stress tensors in finite elastoplasticity
- On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
- Thermomechanics of volumetric growth in uniform bodies
- Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
- Tumor growth modelling by cellular automata
- Non-Darcian flow in fibre-reinforced biological tissues
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- A fractional diffusion equation to describe Lévy flights
- Space-time adaptive finite elements for nonlocal parabolic variational inequalities
- Brittle failures at rounded V-notches: a finite fracture mechanics approach
- Multiscale modelling and nonlinear simulation of vascular tumour growth
- The role of the microvascular tortuosity in tumor transport phenomena
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- Fractional dynamics of systems with long-range interaction
- Elasticity theory of materials with long range cohesive forces
- Linear theory of nonlocal elasticity and dispersion of plane waves
- Finite difference approximations for two-sided space-fractional partial differential equations
- Modelling the compression and reorganization of cell aggregates
- ENTROPY STRUCTURE OF A CROSS-DIFFUSION TUMOR-GROWTH MODEL
- Poroelastic materials reinforced by statistically oriented fibres--numerical implementation and application to articular cartilage
- A MULTIPHASE MODEL OF TUMOR AND TISSUE GROWTH INCLUDING CELL ADHESION AND PLASTIC REORGANIZATION
- Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives
- Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
- A diffusion wave equation with two fractional derivatives of different order
- Mathematical Models of Avascular Tumor Growth
- La différentiabilité dans le calcul fractionnaire
- Space-time fractional diffusion in cell movement models with delay
- ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
- Modelling solid tumour growth using the theory of mixtures
- On the origins of the idea of the multiplicative decomposition of the deformation gradient
- Anomalous diffusion and transport in heterogeneous systems separated by a membrane
- An avascular tumor growth model based on porous media mechanics and evolving natural states
- Fractional Calculus With Applications in Mechanics
- On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
- Fractional Calculus with Applications in Mechanics
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity