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The aim of this paper was to get a mathematical description on T cell-mediated cytolysis which we consider to be the dominant contributor of tumor regression, by studying a kinetic model of the effector cell response to cancer, which has been provided by R. P. Garay and R. Lefever. The methods employed were mathematical methods: differential analysis, Liapunov's method of stability, and linear systems...
The dynamical theory of chaos is the new analysis method of study on the exchange rate undulation in the foreign exchange market. In order to study the chaos behavior of the Euro exchange rate, this paper put the purchase price of the RMB to the Euro as the sample and analyzes the nonlinear character of the Euro exchange rate. This paper figures out the Hurst exponent by the R/S analysis and confirms...
Latent Dirichlet allocation (LDA) and other related topic models are increasingly popular tools for summarization, manifold discovery and other application in discrete data. However, LDA alone does not perform well in IR application. We alleviate it by biased parameter estimation, which makes the topics in LDA more independent than standard LDA. We introduced the background for the biased estimation...
This paper considers practical stability of stochastic swarm systems. Taking a simple function of mutual attraction and repulsion between the individuals, a stochastic swarm model with and without perturbations is defined. The practical stability of the system is proved. Then, stochastic swarm models with some kinds of perturbations and their corresponding practical stability are discussed. Finally,...
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