A mean-field theory approach to 3D nematic phase transitions in microtubules
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866915163598225408 |
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| author | Gibson, Cameron Jönsson, Henrik Spelman, Tamsin |
| author_facet | Gibson, Cameron Jönsson, Henrik Spelman, Tamsin |
| contents | Microtubules are dynamic intracellular fibers that have been observed experimentally to undergo spontaneous self-alignment. We formulate a 3D mean-field theory model to analyze the nematic phase transition of microtubules growing and interacting within a 3D space then make a comparison with computational simulations. We identify a control parameter $G_\text{eff}$ and predict a unique critical value $G_\text{eff}=1.56$ for which a phase transition can occur. Furthermore, we show both analytically and using simulations that this predicted critical value does not depend on the presence of zippering. The mean-field theory developed here provides an analytical estimate of microtubule patterning characteristics without running time-consuming simulations and is a step towards bridging scales from microtubule behavior to multicellular simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_06855 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A mean-field theory approach to 3D nematic phase transitions in microtubules Gibson, Cameron Jönsson, Henrik Spelman, Tamsin Biological Physics Subcellular Processes Microtubules are dynamic intracellular fibers that have been observed experimentally to undergo spontaneous self-alignment. We formulate a 3D mean-field theory model to analyze the nematic phase transition of microtubules growing and interacting within a 3D space then make a comparison with computational simulations. We identify a control parameter $G_\text{eff}$ and predict a unique critical value $G_\text{eff}=1.56$ for which a phase transition can occur. Furthermore, we show both analytically and using simulations that this predicted critical value does not depend on the presence of zippering. The mean-field theory developed here provides an analytical estimate of microtubule patterning characteristics without running time-consuming simulations and is a step towards bridging scales from microtubule behavior to multicellular simulations. |
| title | A mean-field theory approach to 3D nematic phase transitions in microtubules |
| topic | Biological Physics Subcellular Processes |
| url | https://arxiv.org/abs/2112.06855 |