A Single Equation Explains Go-or-Grow Dynamics in Cyclic Hypoxia
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912928436846592 |
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| author | Sadhu, Gopinath Maini, Philip K Jolly, Mohit Kumar |
| author_facet | Sadhu, Gopinath Maini, Philip K Jolly, Mohit Kumar |
| contents | We propose a minimal mathematical framework to describe the go-or-grow dynamics of tumor cells comprising two phenotypically distinct populations. One population is migratory and undergoes linear diffusion, while the other proliferates in an oxygen-dependent manner. The local oxygen concentration governs transitions between these phenotypes. We then ask whether these two coupled phenotype-specific equations can be reduced to a single mixed-phenotype equation under cyclic hypoxia. We establish a connection between the minimal go-or-grow model with distinct phenotypic populations and a reduced model describing a single-cell population with oxygen-dependent diffusion and proliferation in the fast-phenotypic-switching regime. This theoretical reduction is validated through numerical simulations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_23042 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Single Equation Explains Go-or-Grow Dynamics in Cyclic Hypoxia Sadhu, Gopinath Maini, Philip K Jolly, Mohit Kumar Analysis of PDEs Populations and Evolution We propose a minimal mathematical framework to describe the go-or-grow dynamics of tumor cells comprising two phenotypically distinct populations. One population is migratory and undergoes linear diffusion, while the other proliferates in an oxygen-dependent manner. The local oxygen concentration governs transitions between these phenotypes. We then ask whether these two coupled phenotype-specific equations can be reduced to a single mixed-phenotype equation under cyclic hypoxia. We establish a connection between the minimal go-or-grow model with distinct phenotypic populations and a reduced model describing a single-cell population with oxygen-dependent diffusion and proliferation in the fast-phenotypic-switching regime. This theoretical reduction is validated through numerical simulations. |
| title | A Single Equation Explains Go-or-Grow Dynamics in Cyclic Hypoxia |
| topic | Analysis of PDEs Populations and Evolution |
| url | https://arxiv.org/abs/2602.23042 |