KAPattern Result

KAPattern result for the system: R:\Beard Lab\FQi\My Project\Matlab\AKDH\Code\Hybrid Ping Pong Semirandom\akdh

Computational Bioengineering Group @ BBC

Medical College of Wisconsin MCW

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