ArticleNPJ systems biology and applications2025
Mathematical modeling of multicellular tumor spheroids quantifies inter-patient and intra-tumor heterogeneity.
Article in NPJ systems biology and applications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Converging engineered models of cancer and artificial intelligence.Nature reviews. Cancer · 2026Article
- Multimodal Biophysical Analysis of Morpho-Phenotypic and Morpho-Functional Dynamics in Normal and Cancer Spheroids within Engineered Microenvironments.Chemical & biomedical imaging · 2026Article
- Enhancing generalizability of model discovery across parameter space with multi-experiment equation learning for biological systems.PLoS computational biology · 2026Article
- Strategies to control cellular spatial organization in microphysiological systems.Microsystems & nanoengineering · 2026Review
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6 authors.
Funding
Abstract
In the study of brain tumors, patient-derived three-dimensional sphere cultures provide an important tool for studying emerging treatments. The growth of such spheroids depends on the combined effects of proliferation and migration of cells, but it is challenging to make accurate distinctions between increase in cell number versus the radial movement of cells. To address this, we formulate a novel model in the form of a system of two partial differential equations (PDEs) incorporating both migration and growth terms, and show that it more accurately fits our data compared to simpler PDE models. We show that traveling-wave speeds are strongly associated with population heterogeneity. Having fitted the model to our dataset we show that a subset of the cell lines are best described by a "Go-or-Grow"-type model, which constitutes a special case of our model. Finally, we investigate whether our fitted model parameters are correlated with patient age and survival.
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Registered trials
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