MatCont SBML Tutorial 1: Using MatCont for researching biological ...
MatCont SBML Tutorial 1: Using MatCont for researching biological ...
MatCont SBML Tutorial 1: Using MatCont for researching biological ...
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• <br />
<br />
<br />
• <br />
<br />
<br />
<br />
•
→→
v1 =<br />
v2 =<br />
v3 =<br />
v4 =<br />
M ′ = v4 · Mp − v1 · M<br />
Mp ′ = v1 · M − v2 · Mp + v3 · Mpp − v4 · Mp<br />
Mpp ′ = v2 · Mp − v3 · Mpp<br />
MAP KK ∗ k1cat<br />
Km1 ∗ (M/Km1 + Mp/Km2 + 1)<br />
MAP KK ∗ k2cat<br />
Km2 ∗ (M/Km1 + Mp/Km2 + 1)<br />
MKP 3 ∗ k3cat<br />
Km3 ∗ (M/Km5 + Mp/Km4 + Mpp/Km3 + 1)<br />
MKP 3 ∗ k4cat<br />
Km4 ∗ (M/Km5 + Mp/Km4 + Mpp/Km3 + 1) .
→ → <br />
<br />
<br />
<br />
[MAP KK]tot = 50 [M] = 500 [Mp] = [Mpp] = 0<br />
<br />
<br />
2000 <br />
→ 2D →→ <br />
<br />
<br />
→ 0 2000 <br />
0 100
→ [Mpp] 50 <br />
→ [Mpp] <br />
<br />
<br />
[Mpp] [Mpp] = 80<br />
<br />
[Mp] = Mtot − [M] − [Mpp], <br />
[M] [Mp] [M] = 420 <br />
<br />
<br />
→ <br />
<br />
<br />
<br />
<br />
<br />
<br />
→ →
Mpp<br />
100<br />
90<br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
10<br />
0<br />
0 200 400 600 800 1000<br />
t<br />
1200 1400 1600 1800 2000<br />
<br />
<br />
→ <br />
<br />
<br />
→→<br />
<br />
Mp ′ <br />
Mp = 500 − M − Mpp Mp
[M] = 500 [Mpp] =<br />
0 → → → <br />
→ [M] = 437.78813 <br />
[Mpp] = 49.382181 → → MAP KK<br />
<br />
<br />
→→ MAP KK ∈ [30, 70]<br />
Mpp ∈ [0, 500] → <br />
→ → →<br />
→ <br />
<br />
<br />
→ 1
Mpp<br />
500<br />
400<br />
300<br />
200<br />
100<br />
LP<br />
0<br />
35 40 45 50<br />
MAPKK<br />
55 60 65<br />
<br />
100 <br />
100 <br />
<br />
300 5000 <br />
300 → <br />
<br />
<br />
LP
→<br />
<br />
<br />
<br />
<br />
35 60 30 270 <br />
→ M = 249.921974 Mpp = 240.426057 km1 = 246.269558<br />
MAP KK = 41.157105 <br />
Km1<br />
250<br />
200<br />
150<br />
100<br />
50<br />
CP<br />
30 35 40 45 50<br />
MAPKK<br />
55 60 65 70
→<br />
<br />
<br />
<br />
<br />
35 60 30 270 <br />
→ M = 249.921974 Mpp = 240.426057 km1 = 246.269558<br />
MAP KK = 41.157105 <br />
Km1<br />
250<br />
200<br />
150<br />
100<br />
50<br />
CP<br />
30 35 40 45 50<br />
MAPKK<br />
55 60 65 70
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