ArticleAIP advances2012
Dynamic density functional theory of solid tumor growth: Preliminary models.
Article in AIP advances, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
9 citing papers in PubMed.
- Modelling collective cell migration: neural crest as a model paradigm.Journal of mathematical biology · 2020Article
- A Brownian dynamics tumor progression simulator with application to glioblastoma.Convergent science physical oncology · 2018Article
- Extracting cellular automaton rules from physical Langevin equation models for single and collective cell migration.Journal of mathematical biology · 2017Article
- Why one-size-fits-all vaso-modulatory interventions fail to control glioma invasion: in silico insights.Scientific reports · 2016Article
- Differentiated cell behavior: a multiscale approach using measure theory.Journal of mathematical biology · 2015Article
- A Mechanistic Collective Cell Model for Epithelial Colony Growth and Contact Inhibition.Biophysical journal · 2015Article
- Glioma follow white matter tracts: a multiscale DTI-based model.Journal of mathematical biology · 2015Article
- Simulating cancer growth with multiscale agent-based modeling.Seminars in cancer biology · 2015Review
- Perspective: Flicking with flow: Can microfluidics revolutionize the cancer research?Biomicrofluidics · 2013Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
5 authors.
Funding
Abstract
Cancer is a disease that can be seen as a complex system whose dynamics and growth result from nonlinear processes coupled across wide ranges of spatio-temporal scales. The current mathematical modeling literature addresses issues at various scales but the development of theoretical methodologies capable of bridging gaps across scales needs further study. We present a new theoretical framework based on Dynamic Density Functional Theory (DDFT) extended, for the first time, to the dynamics of living tissues by accounting for cell density correlations, different cell types, phenotypes and cell birth/death processes, in order to provide a biophysically consistent description of processes across the scales. We present an application of this approach to tumor growth.
Identifiers
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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.