系统生物学中的物理问题

在20世纪末到21世纪初的十多年里,生命科学,特别是分子生物学发生了令世人瞩目的变化.生命科学研究飞速发展使人们相信21世纪是生命科学的世纪.与此同时,人们也越来越清楚地意识到生命科学研究的质的飞跃不可能由生物学家独立完成.数学、物理、化学、力学、信息科学在生物学研究中必将担任越来越重要的角色.文章通过介绍几个作者参与的系统生物学研究工作,探讨物理学在系统生物学中应该并能担任的角色.     

Noise effect in metabolic networks

Constraint-based models such as flux balance analysis (FBA) are a powerful tool to study biological metabolic networks. Under the hypothesis that cells operate at an optimal growth rate as the result of evolution and natural selection, this model successfully predicts most cellular behaviours in growth rate. However, the model ignores the fact that cells can change their cellular metabolic states during evolution, leaving optimal metabolic states unstable. Here, we consider all the cellular processes that change metabolic states into a single term `noise', and assume that cells change metabolic states by randomly walking in feasible solution space. By simulating a state of a cell randomly walking in the constrained solution space of metabolic networks, we found that in a noisy environment cells in optimal states tend to travel away from these points. On considering the competition between the noise effect and the growth effect in cell evolution, we found that there exists a trade-off between these two effects. As a result, the population of the cells contains different cellular metabolic states, and the population growth rate is at suboptimal states.     

Resonance in Defect Turbulence under Periodic External Force

The periodically forced spatially extended Brusselator is investigated in the chaotic regime. We explore resonant or non-resonant patterns generated under various forcing frequencies and forcing amplitudes. Resonant spatially uniform oscillation and irregular structures are found. Furthermore two types of regular spatial patterns are generated under appropriate parameters. Our results of numerical simulations demonstrate that periodic force can give rise to resonant patterns in forced systems of spatiotemporal chaos similar to the situation of forced systems of regular oscillations.     

Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg-Landau Equation System

The effect of additive coloured noises, which are correlated in time, on one-dimensional travelling waves in the complex Ginzburg-Landau equation is studied by numerical simulations. We found that a small coloured noise with temporal correlation could considerably influence the stability of one-dimensional wave trains. There exists an optimal temporal correlation of noise where travelling waves are the most vulnerable. To elucidate the phenomena, we statistically calculated the convective velocities Vg of the wave packets, and found that the coloured noise with an appropriate temporal correlation can decrease Vg, making the system convectively more unstable.     

Cryo-EM Data Statistics and Theoretical Analysis of KaiC Hexamer

Cryo-electron microscopy(cryo-EM) provides a powerful tool to resolve the structure of biological macromolecules in natural state. One advantage of cryo-EM technology is that different conformation states of a protein complex structure can be simultaneously built, and the distribution of different states can be measured. This provides a tool to push cryo-EM technology beyond just to resolve protein structures, but to obtain the thermodynamic properties of protein machines. Here, we used a deep m...     

Stochastic resonance in a financial model

We report on our model study of stochastic resonance in the stock market using numerical simulation and analysis,In the model,we take the interest rate as the external signal,the randomness of traders‘ behaviour as the noise,and the stock price as the output,With computer simulations.we find that the system demonstrates a characteristic of stochastic resonance as noise intensity varies,An analytical explanation is proposed.     

粗糙核算子的加权弱(1,1)有界性

本文得到了Bochner-Ries:平均，R.} Fefferman型奇异积分，粗橄极大算子关于权}r卜的加权弱(1.1)有界性.     

Social influence in small—world networks

We report on our numerical studies of the Axelrod model for social influence in small-world networks.Our simulation results show that the topology of the network has a crucial effect on the evolution of cultures .As the randomness of the network increases,the system undergoes a transition from a highly fragmented phase to a uniform phase.we also find that the power-law distribution at the transition point,reported by castellano et al,is not a critical phenomenon;it exists not only at the onset of transition but also for almost any control parameters,All these power-law distributions are stable against pertubations.A mean-field theory is developed to explain these phenomena.     

场协同理论在脉管制冷机研究中的推广

本文采用理论分析和数值计算的方法,确认由过增元教授等提出的强化换热的场协同理论同样可以应用到能量转换过程。文中用场协同理论揭示了脉管制冷机发展过程中几次重大改进的实质,并以此理论指导改进脉管制冷机的结构参数,发现了脉管的最佳长径比。     

G—M制冷机穿梭传热损失的数值计算与分析

1引言G－M制冷机自50年代末发明以来[1]，由于其结构新颖、工作可靠、寿命长，已在军工和民用部门得到广泛应用。尤其是近些年，由于新型磁性蓄冷材料的发现，随之液氦温区G－M制冷机的研制成功，更加扩大了G－M制冷机的应用前景，使得G－M制冷机的研究再次引起各国高技术领域的极大兴趣。我国液氦温区G－M制冷机的研究已隶属于国家高技术“863”计划。G－M制冷机的工作原理参见[1]。所谓穿梭传热损失是指由于制冷机的排出器（活塞）在汽缸内作往复运动，造成排出器上各点与气缸对应点之间有温差，从而热量由热端传至冷端形成的冷量损…