biologia - Studia

Atm PROTEIN CAN SWITCH OFF THE DNA DAMAGE SIGNAL IN A p53 MODEL
If Λ ≤ 0 then change of sign of ∆ makes a bifurcation which is showed
through cases ( a ),( b)
and (c)
(see the table A and the figure 6). This proves part
(1) of the theorem .
If Λ > 0 then change of the sign of Ω makes a bifurcation which is
showed through cases ( c ),( d),(
e)
and ( f ) (see the table A and the figure 6). This
proves part (2) of the theorem.
Table A: here as mentioned before, g ( z 1
) , 0 < z
1
< µ ,
is the only local minimum value for g (z)
.
z1 ≤ 0, g(0)
> 0
(a)
z1 ≤ 0, g(0)
= 0
(b)
g ( z 1
), g(0)
< 0
(c)
z
1
> 0, g(0)
> 0 > g(
z1)
(d)
z
1
> 0, g(0)
> g(
z1)
> 0 (e)
z 0, g(0)
> 0 = g(
) (f)
1
> z1
Fig. 5. According to the rows of table A, here we draw all possible plots for G (g)
.
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