負值的固有曲率對二維半柔性生物高分子力學性質的影響

陳柏翰

doi:10.6846/TKU.2015.00228

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負值的固有曲率對二維半柔性生物高分子力學性質的影響

Effect of a negative intrinsic curvature on the mechanical property of a two dimensional semiflexible biopolymer.

陳柏翰 , Masters　　Advisor：周子聰　　

繁體中文 DOI： 10.6846/TKU.2015.00228

非格點系統；蠕蟲鏈模型(WLC) ；負值的固有曲率；半柔性生物高分子；蒙地卡羅法；力學性質； off-lattice system ； worm-like chain(WLC) ； negative intrinsic curvature ； semiflexible biopolymers ； Monte Carlo method ； mechanical property

Abstract │ Reference (37) │ Altmetrics

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We studied the effect of a negative intrinsic curvature on the mechanical property of a two dimensional semiflexible biopolymer in two-dimensional off-lattice system by Monte Carlo method, and compare the results with that of the worm-like chain model.
　　We can prove that the ground state of the two models are the same, and at finite temperature the two models are almost indistinguishable, when the intrinsic curvature is negative. Where the "indistinguishable" mean that for any given negative intrinsic curvature c and bending rigidity k2 in the Model 2, we can always find a corresponding bending rigidity k1 in the Model 1, so that in experiment the mechanical properties, such as the relationship between extensions and force, the <yN2> vs force, etc., of two models are difficult to distinguish, where yN is the component of position vector of the endpoint, and the mean energy of two models are differed by a constant only. 
　　Our results indicate that the negative intrinsic curvature in the model 2 plays a role in increasing the effective bending rigidity. We also find that when the mechanical properties are almost indistinguishable, the bending rigidity k1 and the intrinsic curvature c have linear relation, in both the lattice system and off-lattice system. However, the slope of the linear relationship between lattice system and off-lattice system is not the same. With the same k2, the change in slope of the lattice system is relatively large.

Reference ( 37 ) 〈TOP〉

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