ArticleJournal of mathematical biology2009
From single cells to tissue architecture-a bottom-up approach to modelling the spatio-temporal organisation of complex multi-cellular systems.
Article in Journal of mathematical biology, 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.
- Digital twins in healthcare: a comprehensive review and future directions.Frontiers in digital health · 2025Review
- How to Obtain a Mega-Intestine with Normal Morphology: In Silico Modelling of Postnatal Intestinal Growth in a Cd97-Transgenic Mouse.International journal of molecular sciences · 2021Article
- BIO-LGCA: A cellular automaton modelling class for analysing collective cell migration.PLoS computational biology · 2021Article
- Dynamic Load Balancing Strategy for Parallel Tumor Growth Simulations.Journal of integrative bioinformatics · 2019Article
- Adhesion forces and cortical tension couple cell proliferation and differentiation to drive epidermal stratification.Nature cell biology · 2018Article
- Are Tumor Cell Lineages Solely Shaped by Mechanical Forces?Bulletin of mathematical biology · 2017Article
- Comparing individual-based approaches to modelling the self-organization of multicellular tissues.PLoS computational biology · 2017Article
- New Bioengineering Breakthroughs and Enabling Tools in Regenerative Medicine.Current stem cell reports · 2017Review
- A Geometrically-Constrained Mathematical Model of Mammary Gland Ductal Elongation Reveals Novel Cellular Dynamics within the Terminal End Bud.PLoS computational biology · 2016Article
- A cell-centered, agent-based framework that enables flexible environment granularities.Theoretical biology & medical modelling · 2016Article
- Influence of individual cell motility on the 2D front roughness dynamics of tumour cell colonies.Journal of biological physics · 2014Article
- The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the Cellular Potts Model.Journal of theoretical biology · 2014Article
- A review of spatial computational models for multi-cellular systems, with regard to intestinal crypts and colorectal cancer development.Journal of mathematical biology · 2013Review
- Cancer Stem Cells: A Minor Cancer Subpopulation that Redefines Global Cancer Features.Frontiers in oncology · 2013Article
- Multispecies model of cell lineages and feedback control in solid tumors.Journal of theoretical biology · 2012Article
- A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth.PloS one · 2012Article
- Article
- Non-stem cancer cell kinetics modulate solid tumor progression.Theoretical biology & medical modelling · 2011Article
- Systems biology beyond networks: generating order from disorder through self-organization.Seminars in cancer biology · 2011Review
- MDCK cystogenesis driven by cell stabilization within computational analogues.PLoS computational biology · 2011Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Collective phenomena in multi-cellular assemblies can be approached on different levels of complexity. Here, we discuss a number of mathematical models which consider the dynamics of each individual cell, so-called agent-based or individual-based models (IBMs). As a special feature, these models allow to account for intracellular decision processes which are triggered by biomechanical cell-cell or cell-matrix interactions. We discuss their impact on the growth and homeostasis of multi-cellular systems as simulated by lattice-free models. Our results demonstrate that cell polarisation subsequent to cell-cell contact formation can be a source of stability in epithelial monolayers. Stroma contact-dependent regulation of tumour cell proliferation and migration is shown to result in invasion dynamics in accordance with the migrating cancer stem cell hypothesis. However, we demonstrate that different regulation mechanisms can equally well comply with present experimental results. Thus, we suggest a panel of experimental studies for the in-depth validation of the model assumptions.
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18386011What OpenQuestion holds
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.