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This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define “antigenicity”, whether of the virus or of the adapted lymphocytes. We model the interaction of the immune system and the viral strains by two processes. On the one hand, the presence of a given viral quasi-species generates antigenically adapted lymphocytes. On the other hand, the lymphocytes kill only viruses for which...
In this paper, we recall the linear version of the lattice Boltzmann schemes in the
framework proposed by d’Humières. According to the equivalent equations we introduce a
definition for a scheme to be isotropic at some order. This definition is chosen such that
the equivalent equations are preserved by orthogonal transformations of the frame. The
property of isotropy can be read through a group operation and then implies a sequence of
relations on...
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