Tajparast M, Glavinović M I
Department of Civil Engineering, McGill University, Montreal, PQ, Canada.
Biochim Biophys Acta. 2009 May;1788(5):993-1008. doi: 10.1016/j.bbamem.2009.01.018. Epub 2009 Feb 11.
During exocytosis the fusion pore opens rapidly, then dilates gradually, and may subsequently close completely, but what controls its dynamics is not well understood. In this study we focus our attention on forces acting on the pore wall, and which are generated solely by the passage of transmitter, ions and water through the open fusion pore. The transport through the charged cylindrical nano-size pore is simulated using a coupled system of Poisson-Nernst-Planck and Navier-Stokes equations and the forces that act radially on the wall of the fusion pore are then estimated. Four forces are considered: a) inertial force, b) pressure, c) viscotic force, and d) electrostatic force. The inertial and viscotic forces are small, but the electrostatic force and the pressure are typically significant. High vesicular pressure tends to open the fusion pore, but the pressure induced by the transport of charged particles (glutamate, ions), which is predominant when the pore wall charge density is high tends to close the pore. The electrostatic force, which also depends on the charge density on the pore wall, is weakly repulsive before the pore dilates, but becomes attractive and pronounced as the pore dilates. Given that the vesicular concentration of free transmitter can change rapidly due to the release, or owing to the dissociation from the gel matrix, we evaluated how much and how rapidly a change of the vesicular K(+)-glutamate(-) concentration affects the concentration of glutamate(-) and ions in the pore and how such changes alter the radial force on the wall of the fusion pore. A step-like rise of the vesicular K(+)-glutamate(-) concentration leads to a chain of events. Pore concentration (and efflux) of both K(+) and glutamate(-) rise reaching their new steady-state values in less than 100 ns. Interestingly within a similar time interval the pore concentration of Na(+) also rises, whereas that of Cl(-) diminishes, although their extra-cellular concentration does not change. Finally such changes affect also the water movement. Water efflux changes bi-phasically, first increasing before decreasing to a new, but lower steady-state value. Nevertheless, even under such conditions an overall approximate neutrality of the pore is maintained remarkably well, and the electrostatic, but also inertial, viscotic and pressure forces acting on the pore wall remain constant. In conclusion the extrusion of the vesicular content generates forces, primarily the force due to the electro-kinetically induced pressure and electrostatic force (both influenced by the pore radius and even more by the charge density on the pore wall), which tend to close the fusion pore.
在胞吐作用过程中,融合孔迅速打开,然后逐渐扩张,随后可能完全关闭,但其动力学的控制机制尚不清楚。在本研究中,我们将注意力集中在作用于孔壁的力上,这些力仅由递质、离子和水通过开放的融合孔产生。使用泊松 - 能斯特 - 普朗克方程和纳维 - 斯托克斯方程的耦合系统模拟通过带电圆柱形纳米尺寸孔的传输,然后估算径向作用于融合孔壁的力。考虑了四种力:a)惯性力,b)压力,c)粘性力,d)静电力。惯性力和粘性力较小,但静电力和压力通常较大。高囊泡压力倾向于打开融合孔,但带电粒子(谷氨酸、离子)传输引起的压力,在孔壁电荷密度高时占主导,倾向于关闭孔。静电力也取决于孔壁上的电荷密度,在孔扩张之前是弱排斥力,但随着孔的扩张变得有吸引力且显著。鉴于由于释放或从凝胶基质解离,游离递质的囊泡浓度可迅速变化,我们评估了囊泡K(+) - 谷氨酸(-)浓度的变化对孔中谷氨酸(-)和离子浓度的影响程度和速度,以及这种变化如何改变融合孔壁上的径向力。囊泡K(+) - 谷氨酸(-)浓度的阶梯状上升导致一系列事件。K(+)和谷氨酸(-)的孔浓度(和流出)上升,在不到100纳秒内达到新的稳态值。有趣的是,在类似的时间间隔内,Na(+)的孔浓度也上升,而Cl(-)的孔浓度下降,尽管它们的细胞外浓度没有变化。最后,这些变化也影响水的运动。水流出呈双相变化,先增加然后降至新的但较低的稳态值。然而,即使在这种情况下,孔的总体近似电中性仍能很好地维持,作用于孔壁的静电力,以及惯性力、粘性力和压力也保持不变。总之,囊泡内容物的挤出产生力,主要是由于电动诱导压力和静电力(两者都受孔半径影响,更受孔壁电荷密度影响)产生的力,这些力倾向于关闭融合孔。