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Random behaviors in the process of immunological memory
Affiliation:1. Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, China;2. Shandong University of Science and Technology, Qingdao 266510, China;1. Zhejiang Water Conservancy and Hydropower College, Hangzhou, Zhejiang, China;2. Department of Computer Science and Engineering, Arizona State University, Tempe, AZ 85287-5406, United States;1. MEDIUM SOFT a.s., Cihelní 14, 702 00 Ostrava, Czech Republic;2. Department of Computer Science, VŠB – Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic;1. Laboratório de Organização e Tratamento da Informação Eletrônica, Centro Nacional de Pesquisa Tecnológica em Informática para a Agricultura (Embrapa Informática Agropecuária), Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA), Campinas, SP 13083-886, Brazil;2. Assessoria de Comunicação e Negócios, Centro Nacional de Pesquisa Tecnológica em Informática para a Agricultura (Embrapa Informática Agropecuária), Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA), Campinas, SP 13083-886, Brazil;3. Laboratório de Matemática Computacional, Centro Nacional de Pesquisa Tecnológica em Informática para a Agricultura (Embrapa Informática Agropecuária), Empresa Brasileira de Pesquisa Agropecuária (EMBRAPA), Campinas, SP 13083-886, Brazil;1. Now at U.S.G.S. Menlo Park, Menlo Park, CA 94025, USA;2. IGEOSS, A Schlumberger Company, 34790 Grabels, France;3. Department of Geological and Environmental Sciences, Stanford University, Stanford, CA 94305, USA
Abstract:We have used a system of coupled maps to study random variations in the immune memory process and the possible network immune memory that can remain for long time in the absence of antigenic stimulation through the idiotypic–anti-idiotypic interactions. Our approach describes the behavior of the immune network proposed by Jerne and considers that the cell–cell interactions routine results in maintenance of memory in a dynamic equilibrium. The critical values of the concentrations of antigens for the validity of the model and a phases diagram with three different phases are also obtained.
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