非平衡生物膜上的區塊形成

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姓名

陳建勳(Chien-Hsun Chen) 查詢紙本館藏

畢業系所

物理學系

論文名稱

非平衡生物膜上的區塊形成
(Finite-size Domains in a Membrane with Two-state Active Inclusions)

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摘要(中)

本論文提出一種可在非平衡生物膜上形成具有特徵大小的區塊的模型，並以蒙地卡羅模擬法來探討此模型與生物系統之關聯。本模型考慮由一種脂質分子與一種兩態活性分子組成之系統。兩種具有不同交互作用的特例被提出並討論之：(１)激發態活性分子傾向聚集﹔(２)基態活性分子傾向聚集。我們發現以下的結論：(i)藉由調整兩態活性分子的活性大小，可調控膜上區塊的大小。(ii)活性分子的密度與膜曲率的耦合可使區塊大小具有形成特徵大小的上限。(iii) 活性分子在膜上的擴散率亦與上述兩特性有關。

摘要(英)

We propose a model that leads to the formation of non-equilibrium
finite-size domains in a biological membrane. Our model considers
the active conformational change of the inclusions and the coupling
between inclusion density and membrane curvature. Two special cases
with different interactions are studied by Monte Carlo simulations.
In case (i) exited state inclusions prefer to aggregate. In case
(ii) ground state inclusions prefer to aggregate. When the inclusion
density is not coupled to the local membrane curvature, in case (i)
the typical length scale ($sqrt{M}$) of the inclusion clusters
shows weak dependence on the excitation rate ($K_{on}$) of the
inclusions for a wide range of $K_{on}$ but increases fast when
$K_{on}$ becomes sufficiently large; in case (ii) $sqrt{M}sim
{K_{on}}^{-frac{1}{3}}$ for a wide range of $K_{on}$. When the
inclusion density is coupled to the local membrane curvature, the
curvature coupling provides the upper limit of the inclusion
clusters. In case (i) (case (ii)), the formation of the inclusions
is suppressed when $K_{off}$ ($K_{on}$) is sufficiently large such
that the ground state (excited state) inclusions do not have
sufficient time to aggregate. We also find that the mobility of an
inclusion in the membrane depends on inclusion-curvature coupling.
Our study suggests possible mechanisms that produce finite-size
domains in biological membranes.

關鍵字(中)

★ 細胞膜
★ 模擬
★ 生物
★ 物理

關鍵字(英)

★ simulation
★ membrane
★ physics
★ biological

論文目次

1 Introduction 1
2 The model 4
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 The Hamiltonian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
3 Simulation method 11
3.1 Metropolis algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.2 Monte Carlo step . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.3 Statistics of cluster size . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4 Simulation results and discussion 21
4.1 Cluster size distribution . . . . . . . . . . . . . . . . . . . . . . . . . 21
4.2 Simulation results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
4.2.1 Short-time in-plane motions of inclusions . . . . . . . . . . . . 27
4.2.2 Case 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
4.2.3 Case 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
iii
5 Summary 40
A Non-dimensionalization of the Hamiltonian 47

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指導教授

陳宣毅(Hsuan-Yi Chen)

審核日期

2005-12-30

推文