Smooth Operator

<正>新一代Eppendorf TransferMan 4r显微操作系统操作界面友好的TransferMan 4r,操作合理、理念领先,非常适用于进行如胚胎或干细胞的操作。独特的DualSpeed~(TM)双速操作杆,可以选用两种不同的速度调控模式。预设的应用程序(如细胞移植、DNA注射等等)让这些特定应用的使用者操作过程更加简单,自设的应用程序"My app"及软键,应用更加广泛。     

Smooth Operator

<正>新一代Eppendorf TransferMan 4r显微操作系统操作界面友好的TransferMan 4r,操作合理、理念领先,非常适用于进行如胚胎或干细胞的操作。独特的DualSpeed~(TM)双速操作杆,可以选用两种不同的速度调控模式。预设的应用程序(如细胞移植、DNA注射等等)让这些特定应用的使用者操作过程更加简单,自设的应用程序My app及软键,应用更加广泛。可直接控制Eppendorf的压电破膜仪与电动显微注射仪。同所有显微镜品牌兼容。     

Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model

 In this paper we derive a formula which enables the stability of periodic solutions to a Volterra integro-differential system to be determined. This system which has been studied by Cushing [1], models a predator-prey interaction with distributed delays. The results are obtained by using the algorithm developed by Kazarinoff, Wan and van den Driessche [2] based on the centre manifold formulas of Hassard and Wan [3]. We discuss an example of the formula for the case of weak kernels and show that under certain conditions stable periodic solutions arising from Hopf bifurcations at different critical values of the parameters can exist together. Received 30 December 1994; received in revised form 12 December 1995     

Lotka-Volterra捕食-被捕食系统的脉冲控制

本文利用脉冲微分方程的比较原理,通过状态和输出反馈研究了Lotka-Volterra捕食－被捕食系统的脉冲控制问题。得到了所研究模型的非负平衡点渐近稳定的充分条件。对于所实施的使系统渐近稳定的脉冲控制,给出了脉冲控制时间间隔的上界估计值。     

Stochastic theory of a selection game

The stochastic theory of a nonlinear game is presented which incorporates some of the essential properties of living systems: metabolism, reproduction and mutability. The steady state distribution function as well as the complete time development are given explicitly. The second law of thermodynamics is generalized to a certain class of nonequilibrium systems. An order parameter is introduced as a measure of the system's internal organization. From the point of view of phase transition theory, the model exhibits a transition at the absolute zero of temperature, with critical behaviour showing up in the low temperature region.     

Stochastic stability of a host-parasite model

The stability of a randomised insect population model, comprising a host and an entomophagous parasite, is discussed. Sufficient conditions for this stability are found to be quite close to those of the corresponding deterministic system.     

生化反应中一类三次系统的极限环

研究生化反应中一类三次系统：dx/dt=-x-Ф1（x）＋yФ2（x）,dy/dt=a0＋Ф1（x）-yФ2（x）其中Ф1（x）=Ax^3＋ax^2＋bx＋B,Ф2（x）=cx^2＋dx＋e．较完整地解决了该系统极限环的存在性,唯一性与不存在性等问题．     

Hydrophobic Surfactant Proteins Induce a Phosphatidylethanolamine to Form Cubic Phases

The hydrophobic surfactant proteins SP-B and SP-C promote rapid adsorption of pulmonary surfactant to an air/water interface. Previous evidence suggests that they achieve this effect by facilitating the formation of a rate-limiting negatively curved stalk between the vesicular bilayer and the interface. To determine whether the proteins can alter the curvature of lipid leaflets, we used x-ray diffraction to investigate how the physiological mixture of these proteins affects structures formed by 1-palmitoyl-2-oleoyl phosphatidylethanolamine, which by itself undergoes the lamellar-to-inverse hexagonal phase transition at 71°C. In amounts as low as 0.03% (w:w) and at temperatures as low as 57°C, the proteins induce formation of bicontinuous inverse cubic phases. The proteins produce a dose-related shift of diffracted intensity to the cubic phases, with minimal evidence of other structures above 0.1% and 62°C, but no change in the lattice-constants of the lamellar or cubic phases. The induction of the bicontinuous cubic phases, in which the individual lipid leaflets have the same saddle-shaped curvature as the hypothetical stalk-intermediate, supports the proposed model of how the surfactant proteins promote adsorption.     

Numerical Method Using Cubic B-Spline for a Strongly Coupled Reaction-Diffusion System

In this paper, a numerical method for the solution of a strongly coupled reaction-diffusion system, with suitable initial and Neumann boundary conditions, by using cubic B-spline collocation scheme on a uniform grid is presented. The scheme is based on the usual finite difference scheme to discretize the time derivative while cubic B-spline is used as an interpolation function in the space dimension. The scheme is shown to be unconditionally stable using the von Neumann method. The accuracy of the proposed scheme is demonstrated by applying it on a test problem. The performance of this scheme is shown by computing and error norms for different time levels. The numerical results are found to be in good agreement with known exact solutions.     

Stochastic simulations of a synthetic bacteria-yeast ecosystem

ABSTRACT: BACKGROUND: The eld of synthetic biology has greatly evolved and numerous functions can now be implemented by articially engineered cells carrying the appropriate genetic information. However, in order for the cells to robustly perform complex or multiple tasks, co-operation between them may be necessary. Therefore, various synthetic biological systems whose functionality requires cell-cell communication are being designed. These systems, microbial consortia, are composed of engineered cells and exhibit a wide range of behaviors. These include yeast cells whose growth is dependent on one another, or bacteria that kill or rescue each other, synchronize, behave as predator-prey ecosystems or invade cancer cells. RESULTS: In this paper, we study a synthetic ecosystem comprising of bacteria and yeast that communicate with and benet from each other using small diffusible molecules. We explore the behavior of this heterogeneous microbial consortium, composed of Saccharomyces cerevisiae and Escherichia coli cells, using stochastic modeling. The stochastic model captures the relevant intra-cellular and inter-cellular interactions taking place in and between the eukaryotic and prokaryotic cells. Integration of well-characterized molecular regulatory elements into these two microbes allows for communication through quorum sensing. A gene controlling growth in yeast is induced by bacteria via chemical signals and vice versa. Interesting dynamics that are common in natural ecosystems, such as obligatory and facultative mutualism, extinction, commensalism and predator-prey like dynamics are observed. We investigate and report on the conditions under which the two species can successfully communicate and rescue each other. CONCLUSIONS: This study explores the various behaviors exhibited by the cohabitation of engineered yeast and bacterial cells. The way that the model is built allows for studying the dynamics of any system consisting of two species communicating with one another via chemical signals. Therefore, key information acquired by our model may potentially drive the experimental design of various synthetic heterogeneous ecosystems.