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 ...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.展开更多
Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are introduced.They can be described via nonclassical Planc-crystallographic groups. The periodic lattices may be interpreted byt...Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are introduced.They 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.展开更多
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 〉 ...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.展开更多
基金supported by the Foundation for University Key Teachers by the Minisny of Education of Chinathe Scientific Research Foundation of the University of Science and Technology Beijing
文摘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.
文摘Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are introduced.They 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.
基金This research is supported by the National Natural Science Foundations of China under Grant No. 60674059, the 11th 5-Year Plan Key Research Project of China under Grant No. 2004BA721A03, the China National Key Special Project for the Preventions and Cures of Important Infectious Diseases under Grant No. 2008ZX10005- 006.
文摘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.
