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Langmuir model with QSS In this worksheet I am working on the identifiability of the parameters of a model of antibody binding. usefull lists and sets In this worksheet we shall obtain results and look at the case where the inlet concentration, is known or alternately unknown set up equations Set up B equations Set up y equations Set up C equations (2.1) obtain y and derivatives multinomial quotient (2.1.1) (2.1.1) (2.1.2) notably we can't re assign the function eliminate B1 (2.1.3) (2.1.4) (2.1.5) take a derivative (2.1.6) (2.1.7) deal with quotients and phases at I_i=0 at I_i=C_t*d_i however there are two cases, either C_T is known or not, so we create two numhats and two denhats known: unknown: look at products we know that if at I_i=0 at I_i=C_t*d_i known (2.3.2.1) unknown look at coefficients at I_i=0 7 (2.4.1.1) at I_i=C_t*d_i known unknown find solutions konwn (2.5.1) unknown (2.5.2) (2.5.2)