A mathematical framework for modelling the metastatic spread of cancer
From MaRDI portal
Publication:2417550
DOI10.1007/s11538-019-00597-xzbMath1415.92099OpenAlexW2949880289WikidataQ64242488 ScholiaQ64242488MaRDI QIDQ2417550
Tommaso Lorenzi, Andrew E. F. Burgess, Linnea C. Franssen, Mark A. J. Chaplain
Publication date: 12 June 2019
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-019-00597-x
individual-based modelmathematical oncologytumour microenvironmentmetastatic spreadmultigrid framework
Related Items
Global classical solutions and convergence to a mathematical model for cancer cells invasion and metastatic spread ⋮ Global generalized solutions of a haptotaxis model describing cancer cells invasion and metastatic spread ⋮ Mathematical modeling of the effect of cell mobility and active intercellular interactions on the sorting of the cells of two types in the cultures of biological tissues ⋮ Understanding the interplay of CAR-NK cells and triple-negative breast cancer: insights from computational modeling ⋮ A model for membrane degradation using a gelatin invadopodia assay ⋮ Implications of immune-mediated metastatic growth on metastatic dormancy, blow-up, early detection, and treatment ⋮ Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain ⋮ A novel 3D atomistic-continuum cancer invasion model: in silico simulations of an \textit{in vitro} organotypic invasion assay ⋮ Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors ⋮ Modeling metastatic tumor evolution, numerical resolution and growth prediction ⋮ A mathematical model for the immune-mediated theory of metastasis ⋮ Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy ⋮ Mathematical modelling of cancer invasion: a review ⋮ Discrete and Continuum Models for the Evolutionary and Spatial Dynamics of Cancer: A Very Short Introduction Through Two Case Studies
Cites Work
- Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
- Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
- Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation
- Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini
- Front instabilities and invasiveness of simulated avascular tumors
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Mathematical and numerical analysis for a model of growing metastatic tumors
- A model describing the growth and the size distribution of multiple metastatic tumors
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity
- Structured models of cell migration incorporating molecular binding processes
- The evolution of tumor metastases during clonal expansion
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- A cellular Potts model simulating cell migration on and in matrix environments
- Dynamics of metastasis suppressor gene inactivation
- Stochastic dynamics of metastasis formation
- A continuum approach to modelling cell-cell adhesion
- A stochastic model for the sizes of detectable metastases
- Multiscale agent-based cancer modeling
- Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
- Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
- Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma
- Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model
- MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
- Stochastic Model of Metastases Formation
- Mathematical Modelling of Tumour Invasion and Metastasis
- Dynamical Patterns of Coexisting Strategies in a Hybrid Discrete-continuum Spatial Evolutionary Game Model
- Estimating a Distribution Function of the Tumor Size at Metastasis
- ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
- A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
- A mathematical model of absorbing Markov chains to understand the routes of metastasis
- Boundedness of solutions of a non-local reaction–diffusion model for adhesion in cell aggregation and cancer invasion
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Modeling cancer detection: Tumor size as a source of information on unobservable stages of carcinogenesis