- ▪T. Chen, M. A. Al-Radhawi, H. Levine, E. D. Sontag, "The interaction between dynamic ligand signaling and epigenetics in Notch-induced cancer metastasis", Physical Biology, vol. 23, pp. 016002, 2026. wwwdoipdfAlso 2025 biorxiv 10.1101/2025.05.19.654987metastasis · melanoma · Notch signaling · miR-222 · epigenetics · drug resistance · therapy resistance
Abstract
Metastatic melanoma presents a formidable challenge in oncology due to its high invasiveness and resistance to current treatments. Central to its ability to metastasize is the Notch signaling pathway, which, when activated through direct cell-cell interactions, propels cells into a metastatic state through mechanisms akin to the epithelial-mesenchymal transition (EMT). While the upregulation of miR-222 has been identified as a critical step in this metastatic progression, the mechanism through which this upregulation persists in the absence of active Notch signaling remains unclear. Here we introduce a dynamical system model that integrates miR-222 gene regulation with histone feedback mechanisms. Through computational analysis, we delineate the non-linear decision boundaries that govern melanoma cell fate transitions, taking into account the dynamics of Notch signaling and the role of epigenetic modifications. Our approach highlights the critical interplay between Notch signaling pathways and epigenetic regulation in dictating the fate of melanoma cells.
- ▪M.A. Al-Radhawi, E.D. Sontag, "Analysis of a reduced model of epithelial-mesenchymal fate determination in cancer metastasis as a singularly-perturbed monotone system", In Realization and model reduction of dynamical systems, 2022. pdf(Previous version: 2020 preprint in arXiv:1910.11311.)epithelial-mesenchymal transition · miRNA · singular perturbations · monotone systems · oncology · cancer · metastasis · reaction networks · reaction networks · systems biology
Abstract
Metastasis can occur after malignant cells transition from the epithelial phenotype to the mesenchymal phenotype. This transformation allows cells to migrate via the circulatory system and subsequently settle in distant organs after undergoing the reverse transition. The core gene regulatory network controlling these transitions consists of a system made up of coupled SNAIL/miRNA-34 and ZEB1/miRNA-200 subsystems. In this work, we formulate a mathematical model and analyze its long-term behavior. We start by developing a detailed reaction network with 24 state variables. Assuming fast promoter and mRNA kinetics, we then show how to reduce our model to a monotone four-dimensional system. For the reduced system, monotone dynamical systems theory can be used to prove generic convergence to the set of equilibria for all bounded trajectories. The theory does not apply to the full model, which is not monotone, but we briefly discuss results for singularly-perturbed monotone systems that provide a tool to extend convergence results from reduced to full systems, under appropriate time separation assumptions.
- ▪L. Liu, G. Duclos, B. Sun, J. Lee, A. Wu, Y. Kam, E.D. Sontag, H.A. Stone, J.C. Sturm, R.A. Gatenby, R.H. Austin, "Minimization of thermodynamic costs in cancer cell invasion", Proc Natl Acad Sci USA, vol. 110, pp. 1686-1691, 2013. pdf
Abstract
This paper shows that metastatic breast cancer cells cooperatively invade a 3D collagen matrix while following a glucose gradient. The front cell leadership is dynamic, and invading cells act in a cooperative manner by exchanging leaders in the invading front.