Abstract
A novel model of artificial immune network is presented at first, and then a simulative research work is made on its dynamic behaviors. Simulation results show that the limit cycle and chaos may exist simultaneously when four units are in connection, and the network’s characteristic has a close relationship with the intensity of suppressor T-cell’s function, B-cell’s characteristics and transconductance. Besides this, with Liapunov’s method, the sufficient conditions for network’s stability is studied, especially for the case of system’s characteristics under the condition that the helper T-cells appear as a nonlinear function.
This research is supported by Shaanxi Province Education Department’s Science Research Project under grant no06JK224.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Klarreich, E.: Inspired by Immunity. Nature 415(31), 468–470 (2002)
Jerne, N.K.: Towards a Network Theory of the Immune System. Annual Immunology 125C, 373–389 (1974)
Jerne, N.K.: The Generative Grammar of the Immune System. In: Wigzell, H. (ed.) Presentation Speech to Nobel Prize in Physical or Medicine (1984), http://nobelprize.org/medicine/laureates/1984/presentation-speech.html
Farmer, J.D., Packard, N.H., Perelson, A.S.: The Immune System. Adaptation, and Machine Learning. Physica 22D, 187–204 (1986)
Chao, D.L., Davenport, M.P., Forrest, S., Perelson, A.S.: A stochastic model of cytotoxic T cell responses. Journal of Theoretical Biology 228(2), 227–240 (2004)
Esponda, F., Forrest, S., Helman, P.: A formal framework for positive and negative detection. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 34(1), 357–373 (2004)
Dasgupta, D., Gonzalez, F.: An Immunity-Based Technique to Characterize Intrusions in Computer Networks. IEEE Transactions on Evolutionary Computation 6(3), 156–162 (2002)
Gomez, J., Gonzalez, F., Dasgupta, D.: An Immuno-Fuzzy Approach to Anomaly Detection. In: Proceedings of IEEE International Conference on Fuzzy Systems, pp. 1219–1224 (2003)
De Sousa, J.S., de Gomes, L., Bezerra, G.B., de Castro, L.N., Von Zuben, F.J.: An Immune-Evolutionary Algorithm for Multiple Rearrangements of Gene Expression Data. Genetic Programming and Evolvable Machines 5, 157–179 (2004)
De Castro, L.N., Von Zuben, F.J.: Learning and Optimization Using the Clonal Selection Principle. IEEE Transactions on Evolutionary Computation 6(3), 239–251 (2002)
Timmis, J., Boggess, L., Watkins, A.: Artificial Immune Recognition System (AIRS): An Immune Inspired Supervised Machine Learning Algorithm. Genetic Programming and Evolvable Machines 5(1), 51–58 (2004)
Watkins, A., Timmis, J.: Exploiting Parallelism Inherent in AIRS, an Artificial Immune Classifier. In: Nicosia, G., Cutello, V., Bentley, P.J., Timmis, J. (eds.) ICARIS 2004. LNCS, vol. 3239, pp. 427–438. Springer, Heidelberg (2004)
White, J.A., Garrett, S.M.: Improved Pattern Recognition with Artificial Clonal Selection. In: Proceedings of the 2nd International Conference on Artificial Immune Systems, pp. 181–193
Ishiguro, K., Kondo, T., Watanabe, Y.: Emergent Construction of Artificial Immune Networks for Autonomous Mobile Robots. In: Proceedings of IEEE International Conference on System Man and Cybernetics, pp. 1222–1228 (1997)
Tang, Z., Yamaguchi, T., Tashima, K., Ishizuka, O., Tanno, K.: Multiple-Valued Immune Network Model and Its Simulations. In: Proceedings of 27th IEEE International Symposium on Multiple-Valued Logic, pp. 233–238 (1997)
Tan, X.H., Zhang, J.Y., Yang, Y.R.: Study on Global Exponential Stability of Neural Networks and Its Convergence Estimate. Journal of Electronics and Information Technology 25(10), 1361–1366 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, L., Wang, L., Nie, Y. (2006). A Novel Artificial Immune Network Model and Analysis on Its Dynamic Behavior and Stabilities. In: Jiao, L., Wang, L., Gao, X., Liu, J., Wu, F. (eds) Advances in Natural Computation. ICNC 2006. Lecture Notes in Computer Science, vol 4222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881223_11
Download citation
DOI: https://doi.org/10.1007/11881223_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45907-1
Online ISBN: 978-3-540-45909-5
eBook Packages: Computer ScienceComputer Science (R0)