= f (z(t)) − z(t)ϕ(t)
(2) Sia viceversa data ψ, allora poniamo
ϕ(t) = f(x(t))
x(t) − ψ(t).
La nostra tecnica permette di studiare anche il caso che la terapia inizia in t1; ci`o potrebbe essere molto interessante.
Osservazione 19.11. Spesso per un singolo paziente `e difficile otte-nere molti dati; assumiamo di avere invece 200 pazienti con pochi dati per ogni singolo paziente. Per eliminare i dati estremi, calcoliamo pri-ma le oscillazioni max(x) − min(x) max(t) − min(t)
ed eliminiamo i 10 parametri con le oscillazioni maggiori e i 10 con le oscillazioni minori. Dagli altri con il metodo della media slittantex˜0= x0+ . . . + xs
6 , ˜ x1 = x0+ . . . + x6 7 , . . . ,x˜k = xk−5+ . . . + xk+ . . . + xk+5 11 , . . . otteniamo una serie di dati che spesso soddisfa le condizioni nella nota 19.7.
Esempio 19.12. Nelle figure seguenti la linea a tratti denota la cre-scita tumorale senza terapia, la linea solida pi `u spessa la crescita in seguito a terapia; la linea solida sottile la funzione di terapia.
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