dorsal/arxiv
View SchemaFinite-size domains in membranes with active two-state inclusions
| Authors | Chien-Hsun Chen, Hsuan-Yi Chen |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0611085 |
| URL | https://arxiv.org/abs/q-bio/0611085 |
| DOI | 10.1103/PhysRevE.74.051917 |
Abstract
The distribution of inclusion-rich domains in membranes with active two-state inclusions is studied by simulations. Our study shows that typical size of inclusion-rich domains ($L$) can be controlled by inclusion activities in several ways. When there is effective attraction between state-1 inclusions, we find: (i) Small domains with only several inclusions are observed for inclusions with time scales ($\sim 10^{-3} {\rm s}$) and interaction energy [$\sim \mathcal{O}({\rm k_BT})$] comparable to motor proteins. (ii) $L$ scales as 1/3 power of the lifetime of state-1 for a wide range of parameters. (iii) $L$ shows a switch-like dependence on state-2 lifetime $k_{12}^{-1}$. That is, $L$ depends weakly on $k_{12}$ when $k_{12} < k_{12}^*$ but increases rapidly with $k_{12}$ when $k_{12} > k_{12}^*$, the crossover $k_{12}^*$ occurs when the diffusion length of a typical state-2 inclusion within its lifetime is comparable to $L$. (iv) Inclusion-curvature coupling provides another length scale that competes with the effects of transition rates.
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"abstract": "The distribution of inclusion-rich domains in membranes with active two-state\ninclusions is studied by simulations. Our study shows that typical size of\ninclusion-rich domains ($L$) can be controlled by inclusion activities in\nseveral ways. When there is effective attraction between state-1 inclusions, we\nfind: (i) Small domains with only several inclusions are observed for\ninclusions with time scales ($\\sim 10^{-3} {\\rm s}$) and interaction energy\n[$\\sim \\mathcal{O}({\\rm k_BT})$] comparable to motor proteins. (ii) $L$ scales\nas 1/3 power of the lifetime of state-1 for a wide range of parameters. (iii)\n$L$ shows a switch-like dependence on state-2 lifetime $k_{12}^{-1}$. That is,\n$L$ depends weakly on $k_{12}$ when $k_{12} \u003c k_{12}^*$ but increases rapidly\nwith $k_{12}$ when $k_{12} \u003e k_{12}^*$, the crossover $k_{12}^*$ occurs when\nthe diffusion length of a typical state-2 inclusion within its lifetime is\ncomparable to $L$. (iv) Inclusion-curvature coupling provides another length\nscale that competes with the effects of transition rates.",
"arxiv_id": "q-bio/0611085",
"authors": [
"Chien-Hsun Chen",
"Hsuan-Yi Chen"
],
"categories": [
"q-bio.SC"
],
"doi": "10.1103/PhysRevE.74.051917",
"title": "Finite-size domains in membranes with active two-state inclusions",
"url": "https://arxiv.org/abs/q-bio/0611085"
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