KAPattern result for the system: R:\Beard Lab\FQi\My Project\Matlab\AKDH\Code\Hybrid Ping Pong Semirandom\akdh
Computational Bioengineering Group
@ 
Medical College of Wisconsin 
Here is the result:
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Enzyme forms:
E
1
=
k-_1k9k-2Pk-3k-4k-5Qk-6+k-1k9k-2Pk8k-3k-4k-5Q+k-1k9k-2Pk7Ck-3k-4k-6+k-1k9k-2Pk7Ck8k-3k-4+k-1k9k-2Pk8k-3k6Bk-5Q+k-1k9k-2Pk7Ck8k-3k6B+k-1k9k-2Pk7Ck-4k5k-6+k-1k9k-2Pk7Ck8k-4k5+k-1k9k-2Pk7Ck8k5k6B+k-1k9k7Ck5k3Bk-4k-6+k-1k9k8k6Bk4Ck-3k-5Q+k-1k9k7Ck8k5k3Bk-4+k-1k9k7Ck8k6Bk4Ck-3+k-1k9k7Ck8k5k6Bk3B+k-1k9k7Ck8k5k6Bk4C+k-1k-2Pk-3k-4k-5Qk-6k-7+k-1k-2Pk-3k-4k-5Qk-6k-8Q+k-1k-2Pk-3k-4k-5Qk-7k8+k-1k-2Pk-3k-4k-6k-8Qk7C+k-1k-2Pk-3k-5Qk-7k8k6B+k-1k-2Pk-4k-6k-8Qk7Ck5+k9k7Ck5k3Bk2k-4k-6+k9k8k6Bk4Ck2k-3k-5Q+k9k7Ck8k5k3Bk2k-4+k9k7Ck8k6Bk4Ck2k-3+k9k7Ck8k5k6Bk3Bk2+k9k7Ck8k5k6Bk4Ck2
E
2
=
kk1Ak-2Pk9k-3k-4k-5Qk-6+k1Ak-2Pk9k-3k-4k8k-5Q+k1Ak-2Pk9k-3k-4k7Ck-6+k1Ak-2Pk9k-3k-4k7Ck8+k1Ak-2Pk9k-3k8k-5Qk6B+k1Ak-2Pk9k-3k7Ck8k6B+k1Ak-2Pk9k-4k7Ck-6k5+k1Ak-2Pk9k-4k7Ck8k5+k1Ak-2Pk9k7Ck8k5k6B+k1Ak9k7Ck5k3Bk-4k-6+k1Ak9k8k6Bk4Ck-3k-5Q+k1Ak9k7Ck8k5k3Bk-4+k1Ak9k7Ck8k6Bk4Ck-3+k1Ak9k7Ck8k5k6Bk3B+k1Ak9k7Ck8k5k6Bk4C+k1Ak-2Pk-3k-4k-5Qk-6k-7+k1Ak-2Pk-3k-4k-5Qk-6k-8Q+k1Ak-2Pk-3k-4k-5Qk-7k8+k1Ak-2Pk-3k-4k-6k-8Qk7C+k1Ak-2Pk-3k-5Qk-7k8k6B+k1Ak-2Pk-4k-6k-8Qk7Ck5+k-2Pk-3k-4k-5Qk-6k-7k-9R+k-2Pk-3k-4k-5Qk-6k-8Qk-9R+k-2Pk-3k-4k-5Qk-7k-9Rk8+k-2Pk-3k-4k-6k-8Qk-9Rk7C+k-2Pk-3k-5Qk-7k-9Rk8k6B+k-2Pk-4k-6k-8Qk-9Rk7Ck5
E
3
=
kk2k-3k-4k1Ak-5Qk-6k9+k2k-3k-4k1Ak-5Qk9k8+k2k-3k-4k1Ak-6k9k7C+k2k-3k-4k1Ak9k7Ck8+k2k-3k1Ak-5Qk9k8k6B+k2k-3k1Ak9k7Ck8k6B+k2k-4k1Ak-6k9k7Ck5+k2k-4k1Ak9k7Ck8k5+k2k1Ak9k7Ck8k5k6B+k-3k-4k-5Qk-6k-7k-9Rk-1+k-3k-4k-5Qk-6k-8Qk-9Rk-1+k-3k-4k-5Qk-7k-9Rk8k-1+k-3k-4k-6k-8Qk-9Rk7Ck-1+k-3k-5Qk-7k-9Rk8k-1k6B+k-4k-6k-8Qk-9Rk7Ck-1k5+k2k-3k-4k1Ak-5Qk-6k-7+k2k-3k-4k1Ak-5Qk-6k-8Q+k2k-3k-4k1Ak-5Qk-7k8+k2k-3k-4k1Ak-6k-8Qk7C+k2k-3k1Ak-5Qk-7k8k6B+k2k-4k1Ak-6k-8Qk7Ck5+k2k-3k-4k-5Qk-6k-7k-9R+k2k-3k-4k-5Qk-6k-8Qk-9R+k2k-3k-4k-5Qk-7k-9Rk8+k2k-3k-4k-6k-8Qk-9Rk7C+k2k-3k-5Qk-7k-9Rk8k6B+k2k-4k-6k-8Qk-9Rk7Ck5
E
4
=
kk3Bk-5Qk2k-4k1Ak-6k9+k3Bk-5Qk2k-4k1Ak9k8+k3Bk2k-4k1Ak-6k9k7C+k3Bk2k-4k1Ak9k7Ck8+k3Bk-5Qk2k1Ak9k8k6B+k3Bk2k1Ak9k7Ck8k6B+k-5Qk-7k-9Rk-1k-2Pk-4k-6+k-5Qk-7k-9Rk8k-1k-2Pk-4+k-5Qk-7k-9Rk8k-1k6Bk-2P+k3Bk-5Qk-4k-7k-6k-9Rk-1+k3Bk-5Qk-4k-6k-8Qk-9Rk-1+k3Bk-5Qk-4k-7k-9Rk8k-1+k3Bk-4k-6k-8Qk-9Rk7Ck-1+k3Bk-5Qk-7k-9Rk8k-1k6B+k-5Qk-7k-9Rk8k-1k6Bk4C+k3Bk-5Qk2k-4k-7k1Ak-6+k3Bk-5Qk2k-4k1Ak-6k-8Q+k3Bk-5Qk2k-4k-7k1Ak8+k3Bk2k-4k1Ak-6k-8Qk7C+k3Bk-5Qk2k-7k1Ak8k6B+k-5Qk-7k8k6Bk4Ck2k1A+k3Bk-5Qk2k-4k-7k-6k-9R+k3Bk-5Qk2k-4k-6k-8Qk-9R+k3Bk-5Qk2k-4k-7k-9Rk8+k3Bk2k-4k-6k-8Qk-9Rk7C+k3Bk-5Qk2k-7k-9Rk8k6B+k-5Qk-7k-9Rk8k6Bk4Ck2
E
5
=
kk4Ck-6k2k-3k1Ak-5Qk9+k4Ck2k-3k1Ak-5Qk9k8+k4Ck-6k2k-3k1Ak9k7C+k4Ck2k-3k1Ak9k7Ck8+k-6k-8Qk-9Rk-1k-2Pk-3k-5Q+k-6k-8Qk-9Rk7Ck-1k-2Pk-3+k4Ck-6k2k1Ak9k7Ck5+k4Ck2k1Ak9k7Ck8k5+k-6k-8Qk-9Rk7Ck-1k5k-2P+k4Ck-6k-3k-5Qk-7k-9Rk-1+k4Ck-6k-3k-8Qk-5Qk-9Rk-1+k4Ck-3k-5Qk-7k-9Rk8k-1+k4Ck-6k-3k-8Qk-9Rk7Ck-1+k-6k-8Qk-9Rk7Ck-1k5k3B+k4Ck-6k-8Qk-9Rk7Ck-1k5+k4Ck-6k2k-3k1Ak-5Qk-7+k4Ck-6k2k-3k-8Qk1Ak-5Q+k4Ck2k-3k1Ak-5Qk-7k8+k4Ck-6k2k-3k-8Qk1Ak7C+k-6k-8Qk7Ck5k3Bk2k1A+k4Ck-6k2k-8Qk1Ak7Ck5+k4Ck-6k2k-3k-5Qk-7k-9R+k4Ck-6k2k-3k-8Qk-5Qk-9R+k4Ck2k-3k-5Qk-7k-9Rk8+k4Ck-6k2k-3k-8Qk-9Rk7C+k-6k-8Qk-9Rk7Ck5k3Bk2+k4Ck-6k2k-8Qk-9Rk7Ck5
E
6
=
kk5k3Bk2k-4k1Ak-6k9+k5k3Bk2k-4k1Ak9k8+k-7k-9Rk-1k-2Pk-3k-4k-6+k-7k-9Rk8k-1k-2Pk-3k-4+k5k3Bk2k1Ak9k8k6B+k-7k-9Rk8k-1k6Bk-2Pk-3+k5k-7k-9Rk-1k-2Pk-4k-6+k5k-7k-9Rk8k-1k-2Pk-4+k5k-7k-9Rk8k-1k6Bk-2P+k5k-7k3Bk-9Rk-4k-1k-6+k5k3Bk-4k-6k-8Qk-9Rk-1+k5k-7k3Bk-9Rk8k-4k-1+k-7k-9Rk8k-1k6Bk4Ck-3+k5k-7k3Bk-9Rk8k-1k6B+k5k-7k-9Rk8k-1k6Bk4C+k5k-7k3Bk2k-4k1Ak-6+k5k3Bk2k-4k1Ak-6k-8Q+k5k-7k3Bk8k2k-4k1A+k-7k8k6Bk4Ck2k-3k1A+k5k-7k3Bk8k2k6Bk1A+k5k-7k8k6Bk4Ck2k1A+k5k-7k3Bk-9Rk2k-4k-6+k5k3Bk2k-4k-6k-8Qk-9R+k5k-7k3Bk-9Rk8k2k-4+k-7k-9Rk8k6Bk4Ck2k-3+k5k-7k3Bk-9Rk8k2k6B+k5k-7k-9Rk8k6Bk4Ck2
E
7
=
kk6Bk4Ck2k-3k1Ak-5Qk9+k-8Qk-9Rk-1k-2Pk-3k-4k-5Q+k6Bk4Ck2k-3k1Ak9k7C+k-8Qk-9Rk7Ck-1k-2Pk-3k-4+k6Bk-8Qk-9Rk-1k-2Pk-3k-5Q+k6Bk-8Qk-9Rk7Ck-1k-2Pk-3+k6Bk4Ck2k1Ak9k7Ck5+k-8Qk-9Rk7Ck-1k5k-2Pk-4+k6Bk-8Qk-9Rk7Ck-1k5k-2P+k6Bk4Ck-3k-5Qk-7k-9Rk-1+k6Bk-8Qk4Ck-9Rk-3k-1k-5Q+k-8Qk-9Rk7Ck-1k5k3Bk-4+k6Bk-8Qk4Ck-9Rk7Ck-3k-1+k6Bk-8Qk-9Rk7Ck-1k5k3B+k6Bk-8Qk4Ck-9Rk7Ck-1k5+k6Bk4Ck2k-3k1Ak-5Qk-7+k6Bk-8Qk4Ck2k-3k1Ak-5Q+k-8Qk7Ck5k3Bk2k-4k1A+k6Bk-8Qk4Ck7Ck2k-3k1A+k6Bk-8Qk7Ck5k3Bk2k1A+k6Bk-8Qk4Ck7Ck2k5k1A+k6Bk4Ck2k-3k-5Qk-7k-9R+k6Bk-8Qk4Ck-9Rk2k-3k-5Q+k-8Qk-9Rk7Ck5k3Bk2k-4+k6Bk-8Qk4Ck-9Rk7Ck2k-3+k6Bk-8Qk-9Rk7Ck5k3Bk2+k6Bk-8Qk4Ck-9Rk7Ck2k5
E
8
=
k-_9Rk-1k-2Pk-3k-4k-5Qk-6+k-9Rk8k-1k-2Pk-3k-4k-5Q+k-9Rk7Ck-1k-2Pk-3k-4k-6+k-9Rk7Ck8k-1k-2Pk-3k-4+k-9Rk8k-1k6Bk-2Pk-3k-5Q+k-9Rk7Ck8k-1k6Bk-2Pk-3+k-9Rk7Ck-1k5k-2Pk-4k-6+k-9Rk7Ck8k-1k5k-2Pk-4+k-9Rk7Ck8k-1k5k6Bk-2P+k-9Rk7Ck-1k5k3Bk-4k-6+k-9Rk8k-1k6Bk4Ck-3k-5Q+k-9Rk7Ck8k-1k5k3Bk-4+k-9Rk7Ck8k-1k6Bk4Ck-3+k-9Rk7Ck8k-1k5k6Bk3B+k-9Rk7Ck8k-1k5k6Bk4C+k7Ck5k3Bk2k-4k1Ak-6+k8k6Bk4Ck2k-3k1Ak-5Q+k7Ck8k5k3Bk2k-4k1A+k7Ck8k6Bk4Ck2k-3k1A+k7Ck8k5k6Bk3Bk2k1A+k7Ck8k5k6Bk4Ck2k1A+k-9Rk7Ck5k3Bk2k-4k-6+k-9Rk8k6Bk4Ck2k-3k-5Q+k-9Rk7Ck8k5k3Bk2k-4+k-9Rk7Ck8k6Bk4Ck2k-3+k-9Rk7Ck8k5k6Bk3Bk2+k-9Rk7Ck8k5k6Bk4Ck2
Link Matrix:
0
1
0
0
0
0
0
2
1
0
3
0
0
0
0
0
0
3
0
4
5
0
0
0
0
0
4
0
0
6
0
0
0
0
5
0
0
0
7
0
0
0
0
6
0
0
0
8
0
0
0
0
7
0
0
9
2
0
0
0
0
8
9
0
Kinetic Matrix:
0k1A00000k-9R
k-10k200000
0k-2P0k3Bk4C000
00k-300k500
00k-4000k6B0
000k-5Q000k7C
0000k-600k8
k90000k-7k-8Q0
Reference:
Feng Qi, Ranjan K. Dash, Yu Han, Daniel A. Beard,
"Generating Rate Equations for Complex Enzyme Systems by a Computer-Assisted Systematic Method."
BMC Bioinformatics 2009, 10: 238