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Analytical Criteria for Local Activity of CNN with Two-port and Application to Biochemical Model

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International Journal of minerals,Metallurgy and Materials 2000年第4期14卷 305-314页

作者： lequan min Na Yu Applied Science School University of Science and Technology BeijingBeijing 100083China

The analytic criteria are presented for the local activity theory in two-port Cellular Neural Network (CNN) cells with three local state variables, and the application to a Biochemical Model CNN (BMCNN) is given for coupling in series of two enzymes whose prototype was studied by Decroly and Goldbeter. The bifurcation diagrams of the BMCNN's show that there does not exist a locally passive domain, and the computer simulation exhibited that convergent patterns, oscillatory patterns or chaotic patterns may emerge if the selected cell parameters are located in locally active unstable domains but nearby the edge of chaos domain. In particular, the coexistence of multiple oscillations was observed in the corresponding triple cell couples of the BMCNN's with the same initial conditions.

关键词： Cellular neural networks

Automatic Liver Segmentation Scheme for MRI Images Based on Cellular Neural Networks

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China Communications 2012年第9期9卷 89-95页

作者： Zhang Qun min lequan Zhang Jie Zhang min School of Automation University of Science and Technology Beijing Beijing 100083 P. R. China School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083 P. R. China Dongzhimen Hospital Beijing University of Chinese Medicine Beijing 100700 P. R. China

Currently, the processing speed of exist-ing autormtic liver segmentation for Magnetic Res-onance Imaging （MRI） images is rehtively slow. An automatic liver segmentation scheme for MRI irmges based on Cellular Neural Networks （CNN） is presented in this paper. It ensures the validity of this scheme and at the same time completes the im-age segmentation faster to accurately calculate the liver volume by using parallel computing in real time. In order to facilitate the CNN irmge process-hag, firstly, three-dimensional liver MRI images should be transformed into binary images; second- ly, an appropriate template parameter of the Global Connectivity Detection CNN （GCD CNN） shall be selected to probe the connectivity of the liver to extract the entire liver; and then the Hole-Filler CNN （HF CNN） are used to repair the entire extracting liver and improve the accuracy of fiver segmentation; final-ly, the liver volume is obtained. Results show that the scheme can ensure the accuracy of the automatic seg-mentation of the liver, and it can also improve the processing speed at the same time. The liver volume calculated is in line with the clinical diagnosis.

关键词： MRI liver segmentation volume meas-urement CNN Bevel theory

Novel Hash Function Based on Coupled Chaotic Map Lattices

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Chinese Journal of Electronics 2014年第4期23卷 836-841页

作者： ZHEN Ping ZHAO Geng min lequan LI Xiaodong School of Automation and Electrical Engineering University of Science and Technology Beijing Beijing Electronic Science and Technology Institute School of Mathematics and Physics University of Science and Technology Beijing

Hash function has been widely used in cryptographic field. This paper proposes a Hash function based on complexly Coupled chaotic map latices(CCML).It is equipped with new features of parallel and flexible processing. Parallelism indicates that the algorithm can reach high level of efficiency and speed. Flexibility means the length of Hash function and message block processed each time can be easily changed to adapt to practical demand. Experimental results show that the Hash function is one-way, with high plaintext sensitivity, as well as its strong capability for confusion and diffusion, and collision resistance. In comparison with MD5 and another Hash function based on chaos, the proposed Hash function shows good performance.

关键词： Hash function Parallelism Flexibility Coupled chaotic map lattice

GLOBAL STABILITY OF ENDEMIC EQUILIBRIUM POINT OF BASIC VIRUS INFECTION MODEL WITH APPLICATION TO HBV INFECTION

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Journal of Systems Science & Complexity 2010年第6期23卷 1221-1230页

作者： Yu ZHENG lequan min Yu JI Yongmei SU Yang KUANG Information Engineering School University of Science and Technology Beijing Beijing 100083 China. Mathematics and Physics School University of Science and Technology Beijing Beijing 100083 China. Department of Mathematics and Statistics Arizona State University Temp AZ 85287-1804 USA.

In this paper, the authors first show that if Ro ≤1, the infection free steady state is globally attractive by using approaches different from those given by min, et a1.（2008）. Then the authors prove that if Ro 〉 1, the endemic steady state is also globally attractive. Finally, based on a patient＇s clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM axe good in agreement with the clinical data.

关键词： Basic infection reproduction number clinical data simulation equilibrium point global stability HBV infection.

Theorems for Testing Local Activity of CNN and Application to Cardiac Purkinje Equations

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International Journal of minerals,Metallurgy and Materials 2000年第2期14卷 139-146页

作者： lequan min(Applied Science School, University of Science and Technology Beijing, Beijing 100083, China) Applied Science School University of Science and Technology Beijing Beijing 100083 China

The theorems for testing the local in one-port cellular neural/inear network (CNN) cells with four local state variables are presented. Using the theorems computes the bifurcation diagrams of the cardiac Purkinje fiber (CPE) equations Which describethe long-lasting action and pace-maker potentials of the Purkinje fiber of the heart. The computer simulation shows that periodic trajectories or convergent trajectories of the CPF Equations can be foun if the cormsponing cell Parameters are located in a positive domainbut nearby edge of chaos. In particular a heart with approximate normal frequency of heartbeat but non-normal electrocardiogram maysuddenly stop by slightly perturbing the parameters of the corresponding CPF Equations when the Paramders are located nearby the edge of chaos in the bifurcation diagrams. This research seems to interpret reasonbly the phenomena that patients with cardiac diseases might suddenly die without warning.

关键词： cellular neural network local activity cardiac Purkinje fiber heartbeat

Algorithm for Computation of Unstructured Real Stability Radius and Its Applications

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International Journal of minerals,Metallurgy and Materials 1998年第4期12卷 245-250页

作者： Xiaodan Zhang lequan min(Applied Science School, University of Science and Technology Beijing, Beijing 100083, China) Applied Science School University of Science and Technology Beijing Beijing 100083 China

An algorithm for the computation of the unstructured real stability radius of high dimensional linearsystem is presented. Using the accurate formula of the real stability radius of 2-dimensional system linear systemchecks the algorithm. The result shows that the algorithm is reliable and efficient. As applications, the unstructuredreal stability radii of 2-dimensional Chua's circuit and 3-dimensional piecewise-linear system are calculated, thedynamical orbits of the corresponding perturbed systems are simulated.

关键词： lincar systems stability robustness parameter perturbation computational methods

Theory for Constructing Generalized Synchronization and Applications

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International Journal of minerals,Metallurgy and Materials 2000年第3期14卷 225-228页

作者： Xiaodan Zhang, lequan min (Applied Science School, University of Science and Technology Beijing, Beijing 100083, China) Applied Science School University of Science and Technology Beijing Beijing 100083 China

The approaches for constructing directionally coupled generalized synchronization (GS) systems are presented, which are available for the driving system and the respond system that are in GS via a given diffeomorphi... 详细信息

关键词： Chaos generalized synchronization predictability

Nonclassical Plane-crystallographic Groups and Their Applications IV

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International Journal of minerals,Metallurgy and Materials 1998年第4期12卷 228-232页

作者： lequan min Xaodan zhang(Applied Science School, School,University of Science and Technology Beijing, Beijing 100083,China) Applied Science School University of Science and Technology Beijing Beijing 100083 China

Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are *** can be described via nonclassical Planc-crystallographic groups. The periodic lattices may be interpreted bythe projections on the plane of the corresponding unit cells consisting of embedding polyhedrons, respectively. TheFourier-transform patterns of the Periodic lattices have striking approximate'8-fold rotational symmetries', some ofwhich are similar to those displaying in the electrton-diffraction patterns of so-called quasicrystals.

关键词： nonclasslcal crystallographic groups locoally 8-fold symmetry Fourier-transform patterns, quasicrystals

Atomic Model for 3-Dimensional Periodic Structure and 12-fold Rotational Symmetry

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工程科学学报 1991年第3期 291-295页

作者： min lequan Wu Yuzhen Department of Mathematics and Mechanics

A VNi atomic model for 3D periodic structure is posed based on T polyhedrons which are introduced. The fourier transform patterns of the atomic model may explain the 12-fold symmetry in electron diffraction patterns o... 详细信息

关键词： 3D periodicity VNi alloy 12-fold rotational symmetry quasi-crystal.