通过给中学教师、函授生(绝大多数是中学教师)讲授数学史课,在实际教学中,着眼于解决实际问题,注意探索史料内容的取舍,几年来有一定收益。现对如下几个问题做以探讨。在六十多年前,法国著名物理学家保罗、郎之万(paul lange vin)就明...通过给中学教师、函授生(绝大多数是中学教师)讲授数学史课,在实际教学中,着眼于解决实际问题,注意探索史料内容的取舍,几年来有一定收益。现对如下几个问题做以探讨。在六十多年前,法国著名物理学家保罗、郎之万(paul lange vin)就明确论述科学史的教育价值。1922年,他在法国教育馆做了具有重要影响的《论科学史教育价值》的讲演。展开更多
The dynamics of tracers in crowded matrix is of interest in various areas of physics, such as the diffusion of proteins in living cells. By using two-dimensional （2D） Langevin dynamics simulations, we investigate th...The dynamics of tracers in crowded matrix is of interest in various areas of physics, such as the diffusion of proteins in living cells. By using two-dimensional （2D） Langevin dynamics simulations, we investigate the diffusive properties of a tracer of a diameter in crowded environments caused by randomly distributed crowders of a diameter. Results show that the emergence of subdiffusion of a tracer at intermediate time scales depends on the size ratio of the tracer to crowders a. If a falls between a lower critical size ratio and a upper one, the anomalous diffusion occurs purely due to the molecular crowding, tqlrther analysis indicates that the physical origin of subdiffusion is the ＂cage effect＂. Moreover, the subdiffusion exponent α decreases with the increasing medium viscosity and the degree of crowding, and gets a minimum αmin=0.75 at δ=1. At long time scales, normal diffusion of a tracer is recovered. For δ≤1, the relative mobility of tracers is independent of the degree of crowding. Meanwhile, it is sensitive to the degree of crowding for δ〉l. Our results are helpful in deepening the understanding of the diffusive properties of biomacromolecules that lie within crowded intracellular environments, such as proteins, DNA and ribosomes.展开更多
A two-dimensional generalized Langevin equation is proposed to describe the protein conformational change, compatible to the electron transfer process governed by atomic packing density model. We assume a fractional G...A two-dimensional generalized Langevin equation is proposed to describe the protein conformational change, compatible to the electron transfer process governed by atomic packing density model. We assume a fractional Gaussian noise and a white noise through bond and through space coordinates respectively, and introduce the coupling effect coming from both fluctuations and equilibrium variances. The general expressions for autocorrelation functions of distance fluctuation and fluorescence lifetime variation are derived, based on which the exact conformational change dynamics can be evaluated with the aid of numerical Laplace inversion technique. We explicitly elaborate the short time and long time approximations. The relationship between the two-diraensional description and the one-dimensional theory is also discussed.展开更多
文摘通过给中学教师、函授生(绝大多数是中学教师)讲授数学史课,在实际教学中,着眼于解决实际问题,注意探索史料内容的取舍,几年来有一定收益。现对如下几个问题做以探讨。在六十多年前,法国著名物理学家保罗、郎之万(paul lange vin)就明确论述科学史的教育价值。1922年,他在法国教育馆做了具有重要影响的《论科学史教育价值》的讲演。
基金This work is supported by the National Natural Science Foundation of China （No.21225421 and No.21474099）, the National Basic Research Program of China （No.2014CB845605）.
文摘The dynamics of tracers in crowded matrix is of interest in various areas of physics, such as the diffusion of proteins in living cells. By using two-dimensional （2D） Langevin dynamics simulations, we investigate the diffusive properties of a tracer of a diameter in crowded environments caused by randomly distributed crowders of a diameter. Results show that the emergence of subdiffusion of a tracer at intermediate time scales depends on the size ratio of the tracer to crowders a. If a falls between a lower critical size ratio and a upper one, the anomalous diffusion occurs purely due to the molecular crowding, tqlrther analysis indicates that the physical origin of subdiffusion is the ＂cage effect＂. Moreover, the subdiffusion exponent α decreases with the increasing medium viscosity and the degree of crowding, and gets a minimum αmin=0.75 at δ=1. At long time scales, normal diffusion of a tracer is recovered. For δ≤1, the relative mobility of tracers is independent of the degree of crowding. Meanwhile, it is sensitive to the degree of crowding for δ〉l. Our results are helpful in deepening the understanding of the diffusive properties of biomacromolecules that lie within crowded intracellular environments, such as proteins, DNA and ribosomes.
基金This work was supported by the National Natural Science Foundation of China （No.20973119 and No.21033008）.
文摘A two-dimensional generalized Langevin equation is proposed to describe the protein conformational change, compatible to the electron transfer process governed by atomic packing density model. We assume a fractional Gaussian noise and a white noise through bond and through space coordinates respectively, and introduce the coupling effect coming from both fluctuations and equilibrium variances. The general expressions for autocorrelation functions of distance fluctuation and fluorescence lifetime variation are derived, based on which the exact conformational change dynamics can be evaluated with the aid of numerical Laplace inversion technique. We explicitly elaborate the short time and long time approximations. The relationship between the two-diraensional description and the one-dimensional theory is also discussed.
