Properties of Hagen-Poiseuille flow in channel networks
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908422723600384 |
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| author | Valente, A. F. Almeida, R. Dilão, R. |
| author_facet | Valente, A. F. Almeida, R. Dilão, R. |
| contents | We derive the main properties of adaptive Hagen-Poiseuille flows in elastic microchannel networks similar to biological veins found in organisms. We demonstrate that adaptive Hagen-Poiseuille flows effectively simulate key features of \textit{Physarum polycephalum} networks, replicating physiological out-of-equilibrium phenomena such as peristalsis and shuttle streaming, which are associated with the mechanism of nutrient transport in \textit{Physarum}. A new topological steady state has been identified for asynchronous adaptation, supporting out-of-equilibrium laminar fluxes. Adaptive Hagen-Poiseuille flows exhibit saturation effects on the fluxes in contractile veins, as observed in both animal and artificial contractile veins. These results suggest that the non-equilibrium effects observed in \textit{Physarum} have a hydrodynamic origin |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19185 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of Hagen-Poiseuille flow in channel networks Valente, A. F. Almeida, R. Dilão, R. Cell Behavior Adaptation and Self-Organizing Systems We derive the main properties of adaptive Hagen-Poiseuille flows in elastic microchannel networks similar to biological veins found in organisms. We demonstrate that adaptive Hagen-Poiseuille flows effectively simulate key features of \textit{Physarum polycephalum} networks, replicating physiological out-of-equilibrium phenomena such as peristalsis and shuttle streaming, which are associated with the mechanism of nutrient transport in \textit{Physarum}. A new topological steady state has been identified for asynchronous adaptation, supporting out-of-equilibrium laminar fluxes. Adaptive Hagen-Poiseuille flows exhibit saturation effects on the fluxes in contractile veins, as observed in both animal and artificial contractile veins. These results suggest that the non-equilibrium effects observed in \textit{Physarum} have a hydrodynamic origin |
| title | Properties of Hagen-Poiseuille flow in channel networks |
| topic | Cell Behavior Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2402.19185 |