From: Developing a multiscale, multi-resolution agent-based brain tumor model by graphics processing units
(1) | Â | Â | Â |
---|---|---|---|
Symbol | Molecular variables | Initial Condition | Â |
X 0 | Glucose | 25mM | Â |
X 1 | TGFα | 9010.55nM |  |
X 2 | EGFR | 100nM | Â |
X 3 | TGFα -EGFR | 0nM |  |
X 4 | (TGFα -EGFR)2 | 0nM |  |
X 5 | TGFα -EGFR-P | 0nM |  |
X 6 | PLCγ | 10nM |  |
X 7 | TGFα-EGFR-PLCγ | 0nM |  |
X 8 | TGFα-EGFR-PLCγ-P | 0nM |  |
X 9 | PLCγ-P | 0nM |  |
X 10 | PLCγ-P-I | 0nM |  |
(2) | Â | Â | Â |
dX1/dt=-v1 | (1) | v1 = k1X1X2-k-1X3 | (11) |
dX2/dt=-v1 | (2) | v2 = k2X3X3-k-2X4 | (12) |
dX3/dt = v1-2v2 | (3) | v3 = k3X4-k-3X5 | (13) |
dX4/dt = v2+v4-v3 | (4) | v4 = V4X5/(K4+X5) | (14) |
dX5/dt = v3+v7-v4-v5 | (5) | v5 = k5X5X6-k-5X7 | (15) |
dX6/dt = v8-v5 | (6) | v6 = k6X7-k-6X8 | (16) |
dX7/dt = v5-v6 | (7) | v7 = k7X8-k-7X5X9 | (17) |
dX8/dt = v6-v7 | (8) | v8 = V8X9(K8+X9) | (18) |
dX9/dt = v7-v8-v9 | (9) | v9 = k9X9-k-9X10 | (19) |
dX10/dt = v9 | (10) | Â | Â |
(3) | Â | Â | Â |
Forward rate (s-1) | Reverse rate (s-1) | Michaelis constants (nM) | Maximal enzyme rates (nM s-1) |
k1 = 0.003 | k-1 = 0.06 | K4 = 50 | V4 = 450 |
k2 = 0.01 | k - 2 = 0.1 | K8 = 100 | V8 = 1 |
k3 = 1 | k-3 = 0.01 | Â | Â |
K5 = 0.06 | k-5 = 0.2 | Â | Â |
K6 = 1 | k-6 = 0.05 | Â | Â |
K7 = 0.3 | k-7 = 0.006 | Â | Â |
k9 = 1 | k-9 = 0.03 | Â | Â |