ArticleMathematical biosciences and engineering : MBE2013
An agent-based model for elasto-plastic mechanical interactions between cells, basement membrane and extracellular matrix.
Article in Mathematical biosciences and engineering : MBE, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed, 45 citations in OpenAlex.
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- An agent-based model of monocyte differentiation into tumour-associated macrophages in chronic lymphocytic leukemia.iScience · 2023Article
- Agent-based computational modeling of glioblastoma predicts that stromal density is central to oncolytic virus efficacy.iScience · 2022Article
- Bayesian calibration of a stochastic, multiscale agent-based model for predicting in vitro tumor growth.PLoS computational biology · 2021Article
- Impact of tumor-parenchyma biomechanics on liver metastatic progression: a multi-model approach.Scientific reports · 2021Article
- Revealing hidden information in osteoblast's mechanotransduction through analysis of time patterns of critical events.BMC bioinformatics · 2020Article
- Mathematical models of tumor cell proliferation: A review of the literature.Expert review of anticancer therapy · 2018Review
- A HYBRID THREE-SCALE MODEL OF TUMOR GROWTH.Mathematical models & methods in applied sciences : M3AS · 2018Article
- Model of vascular desmoplastic multispecies tumor growth.Journal of theoretical biology · 2017Article
- Quantitative Morphology of Epithelial Folds.Biophysical journal · 2016Article
- Progress Towards Computational 3-D Multicellular Systems Biology.Advances in experimental medicine and biology · 2016Review
- Engineering cancer microenvironments forMaterials today (Kidlington, England) · 2015Article
- The Force at the Tip--Modelling Tension and Proliferation in Sprouting Angiogenesis.PLoS computational biology · 2015Article
- The formation of tight tumor clusters affects the efficacy of cell cycle inhibitors: a hybrid model study.Journal of theoretical biology · 2014Article
- The Need for Integrative Computational Oncology: An Illustrated Example through MMP-Mediated Tissue Degradation.Frontiers in oncology · 2013Article
- Modeling the mechanics of cancer: effect of changes in cellular and extra-cellular mechanical properties.Frontiers in oncology · 2013Article
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
Abstract
The basement membrane (BM) and extracellular matrix (ECM) play critical roles in developmental and cancer biology, and are of great interest in biomathematics. We introduce a model of mechanical cell-BM-ECM interactions that extends current (visco)elastic models (e.g. [8,16]), and connects to recent agent-based cell models (e.g. [2,3,20,26]). We model the BM as a linked series of Hookean springs, each with time-varying length, thickness, and spring constant. Each BM spring node exchanges adhesive and repulsive forces with the cell agents using potential functions. We model elastic BM-ECM interactions with analogous ECM springs. We introduce a new model of plastic BM and ECM reorganization in response to prolonged strains, and new constitutive relations that incorporate molecular-scale effects of plasticity into the spring constants. We find that varying the balance of BM and ECM elasticity alters the node spacing along cell boundaries, yielding a nonuniform BM thickness. Uneven node spacing generates stresses that are relieved by plasticity over long times. We find that elasto-viscoplastic cell shape response is critical to relieving uneven stresses in the BM. Our modeling advances and results highlight the importance of rigorously modeling of cell-BM-ECM interactions in clinically important conditions with significant membrane deformations and time-varying membrane properties, such as aneurysms and progression from in situ to invasive carcinoma.
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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.