A mathematical model for droplet separation by surface tension using contact cantilevers -- applications to {\it{in situ}} diagnosis and treatment
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909234110660608 |
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| author | Teodorescu, Sonia Elizabeth |
| author_facet | Teodorescu, Sonia Elizabeth |
| contents | This work provides an exact mathematical characterization of the meniscus formed by a liquid of density $ρ$ (model for tumor tissue) when probed with a cantilever device, operating by gravity (acceleration $g$) and with surface tension coefficient $σ$ (material-dependent for the specific choice of liquid and cantilever). The shape and extremal parameters (maximum height $\mathcal{H}$, break-off volume $\mathcal{V}$) of the meniscus formed, as functions of $σ, ρ$, are found by an exact analysis. Having knowledge of the explicit relationship between these parameters allows to perform in one procedure both diagnosis and treatment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00027 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A mathematical model for droplet separation by surface tension using contact cantilevers -- applications to {\it{in situ}} diagnosis and treatment Teodorescu, Sonia Elizabeth Tissues and Organs Optimization and Control Biological Physics Fluid Dynamics This work provides an exact mathematical characterization of the meniscus formed by a liquid of density $ρ$ (model for tumor tissue) when probed with a cantilever device, operating by gravity (acceleration $g$) and with surface tension coefficient $σ$ (material-dependent for the specific choice of liquid and cantilever). The shape and extremal parameters (maximum height $\mathcal{H}$, break-off volume $\mathcal{V}$) of the meniscus formed, as functions of $σ, ρ$, are found by an exact analysis. Having knowledge of the explicit relationship between these parameters allows to perform in one procedure both diagnosis and treatment. |
| title | A mathematical model for droplet separation by surface tension using contact cantilevers -- applications to {\it{in situ}} diagnosis and treatment |
| topic | Tissues and Organs Optimization and Control Biological Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2407.00027 |