ArticleComputational and mathematical methods in medicine2011
Numerical solutions for a model of tissue invasion and migration of tumour cells.
Article in Computational and mathematical methods in medicine, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Deep neural network model for fractional-order cancer chemotherapy dynamics.Scientific reports · 2026Article
- SISTEM: simulation of tumor evolution, metastasis, and DNA-seq data under genotype-driven selection.Bioinformatics (Oxford, England) · 2025Article
- A novel method for simulating the extracellular matrix in models of tumour growth.Computational and mathematical methods in medicine · 2012Article
- Integrated cellular and gene interaction modelling of pattern formation.International journal of computational biology and drug design · 2011Article
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Authors and funding
2 authors.
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Abstract
The goal of this paper is to construct a new algorithm for the numerical simulations of the evolution of tumour invasion and metastasis. By means of mathematical model equations and their numerical solutions we investigate how cancer cells can produce and secrete matrix degradative enzymes, degrade extracellular matrix, and invade due to diffusion and haptotactic migration. For the numerical simulations of the interactions between the tumour cells and the surrounding tissue, we apply numerical approximations, which are spectrally accurate and based on small amounts of grid-points. Our numerical experiments illustrate the metastatic ability of tumour cells.
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