ArticleMathematical biosciences and engineering : MBE2009
A spatial model of tumor-host interaction: application of chemotherapy.
Article in Mathematical biosciences and engineering : MBE, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 32 papers.
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Who cites it
32 citing papers in PubMed, 91 citations in OpenAlex.
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- Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems.Journal of mathematical biology · 2023Article
- Analytical Models of Intra- and Extratumoral Cell Interactions at Avascular Stage of Growth in the Presence of Targeted Chemotherapy.Bioengineering (Basel, Switzerland) · 2023Article
- Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments.Journal of mathematical biology · 2022Article
- A multiscale cell-based model of tumor growth for chemotherapy assessment and tumor-targeted therapy through a 3D computational approach.Cell proliferation · 2022Article
- Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data.Cancers · 2021Review
- Modeling of Nanotherapy Response as a Function of the Tumor Microenvironment: Focus on Liver Metastasis.Frontiers in bioengineering and biotechnology · 2020Review
- The Goldilocks Window of Personalized Chemotherapy: Getting the Immune Response Just Right.Cancer research · 2019Article
- Anti-angiogenic drug scheduling optimisation with application to colorectal cancer.Scientific reports · 2018Article
- The role of Allee effect in modelling post resection recurrence of glioblastoma.PLoS computational biology · 2017Article
- Combination of ruthenium(II)-arene complex [Ru(ηScientific reports · 2017Article
- Article
- The tumor as an organ: comprehensive spatial and temporal modeling of the tumor and its microenvironment.BMC bioinformatics · 2016Article
- A Mathematical Model Coupling Tumor Growth and Angiogenesis.PloS one · 2016Article
- Mathematical Modelling and Prediction of the Effect of Chemotherapy on Cancer Cells.Scientific reports · 2015Article
- Rapid optimization of drug combinations for the optimal angiostatic treatment of cancer.Angiogenesis · 2015Article
Corrections and comments
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Authors and funding
12 authors at 6 institutions in 2 countries.
Funding
Abstract
In this paper we consider chemotherapy in a spatial model of tumor growth. The model, which is of reaction-diffusion type, takes into account the complex interactions between the tumor and surrounding stromal cells by including densities of endothelial cells and the extra-cellular matrix. When no treatment is applied the model reproduces the typical dynamics of early tumor growth. The initially avascular tumor reaches a diffusion limited size of the order of millimeters and initiates angiogenesis through the release of vascular endothelial growth factor (VEGF) secreted by hypoxic cells in the core of the tumor. This stimulates endothelial cells to migrate towards the tumor and establishes a nutrient supply sufficient for sustained invasion. To this model we apply cytostatic treatment in the form of a VEGF-inhibitor, which reduces the proliferation and chemotaxis of endothelial cells. This treatment has the capability to reduce tumor mass, but more importantly, we were able to determine that inhibition of endothelial cell proliferation is the more important of the two cellular functions targeted by the drug. Further, we considered the application of a cytotoxic drug that targets proliferating tumor cells. The drug was treated as a diffusible substance entering the tissue from the blood vessels. Our results show that depending on the characteristics of the drug it can either reduce the tumor mass significantly or in fact accelerate the growth rate of the tumor. This result seems to be due to complicated interplay between the stromal and tumor cell types and highlights the importance of considering chemotherapy in a spatial context.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.