ArticleAnnals of biomedical engineering2015
Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation.
Article in Annals of biomedical engineering, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- A Mathematical Model for Chemo-Mechanically Induced Collective Cell Motility on Planar Elastic Substrates.International journal for numerical methods in biomedical engineering · 2026Article
- Modeling Physical Forces Experienced by Cancer and Stromal Cells Within Different Organ-Specific Tumor Tissue.IEEE journal of translational engineering in health and medicine · 2024Article
- Mathematical Modeling of Non-Small-Cell Lung Cancer Biology through the Experimental Data on Cell Composition and Growth of Patient-Derived Organoids.Life (Basel, Switzerland) · 2023Article
- Optimal regulation of tumour-associated neutrophils in cancer progression.Royal Society open science · 2022Article
- A model for cell migration in non-isotropic fibrin networks with an application to pancreatic tumor islets.Biomechanics and modeling in mechanobiology · 2018Article
- Mathematical modelling of angiogenesis using continuous cell-based models.Biomechanics and modeling in mechanobiology · 2016Article
- Review on experiment-based two- and three-dimensional models for wound healing.Interface focus · 2016Review
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Authors and funding
5 authors.
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Abstract
A phenomenological model is formulated to model the early stages of tumor formation. The model is based on a cell-based formalism, where each cell is represented as a circle or sphere in two-and three dimensional simulations, respectively. The model takes into account constituent cells, such as epithelial cells, tumor cells, and T-cells that chase the tumor cells and engulf them. Fundamental biological processes such as random walk, haptotaxis/chemotaxis, contact mechanics, cell proliferation and death, as well as secretion of chemokines are taken into account. The developed formalism is based on the representation of partial differential equations in terms of fundamental solutions, as well as on stochastic processes and stochastic differential equations. We also take into account the likelihood of seeding of tumors. The model shows the initiation of tumors and allows to study a quantification of the impact of various subprocesses and possibly even of various treatments.
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