# Model Mathematics

### Component: x1

$x1=1 e -7iftime<150otherwise$

### Component: x2

$ddtimex2=k_minus1⁢x3+k_minus3⁢PTP⁢x5+k_minus4⁢x6-k1⁢x1⁢x2+k4⁢x2$

### Component: x3

$ddtimex3=k1⁢x1⁢x2-k_minus1⁢x3+k3⁢x3$

### Component: x4

$ddtimex4=k2⁢x1⁢x5+k_minus4b⁢x7-k_minus2⁢x4+k4b⁢x4$

### Component: x5

$ddtimex5=k3⁢x3+k_minus2⁢x4+k_minus4b⁢x8-k2⁢x1⁢x5+k_minus3⁢PTP⁢x5+k4b⁢x5$

### Component: x6

$ddtimex6=k5+k6⁢PTP⁢x7+x8+k4⁢x2-k_minus5⁢x6+k_minus4⁢x6$

### Component: x7

$ddtimex7=k4b⁢x4-k_minus4b⁢x7+k6⁢PTP⁢x7$

### Component: x8

$ddtimex8=k4b⁢x5-k_minus4b⁢x8+k6⁢PTP⁢x8$

### Component: x9

$ddtimex9=k_minus7⁢PTP⁢x10-k7⁢x9⁢x4+x5IRp$

### Component: x10

$ddtimex10=k7⁢x9⁢x4+x5IRp+k_minus8⁢x12-k_minus7⁢PTP+k8⁢x11⁢x10$

### Component: x11

$ddtimex11=k_minus8⁢x12-k8⁢x10⁢x11$

### Component: x12

$ddtimex12=k8⁢x10⁢x11-k_minus8⁢x12$

### Component: x13

$ddtimex13=k9⁢x14+k10⁢x15-k_minus9⁢PTEN+k_minus10⁢SHIP⁢x13$

### Component: x14

$ddtimex14=k_minus9⁢PTEN⁢x13-k9⁢x14$

### Component: x15

$ddtimex15=k_minus10⁢SHIP⁢x13-k10⁢x15$

### Component: x16

$ddtimex16=k_minus11⁢x17-k11⁢x16$

### Component: x17

$ddtimex17=k11⁢x16-k_minus11⁢x17$

### Component: x18

$ddtimex18=k_minus12⁢x19-k12⁢x18$

### Component: x19

$ddtimex19=k12⁢x18-k_minus12⁢x19$

### Component: x20

$ddtimex20=k_minus13⁢x21+k14-k13+k13b⁢x20+k_minus14⁢x20$

### Component: x21

$ddtimex21=-k_minus13⁢x21+k13+k13b⁢x20$

### Component: reaction_constants

$k2=k1k_minus2=100⁢k_minus1k_minus3=k_minus11k4=k_minus49k5=10⁢k_minus5ifx6+x7+x8>1 e -1360⁢k_minus5otherwisek_minus7=2.57.45⁢k7k8=k_minus8⁢570.775⁢1 e 12k9=k9_stimulated-k9_basal⁢x12PI3K+k9_basalk_minus9=943.1⁢k9_stimulatedk9_basal=0.3199.4⁢k_minus9k10=3.12.9⁢k_minus10k11=0.1⁢k_minus11⁢x13-0.313.1-0.31k_minus11=10⁢ln⁡2⁢1k12=0.1⁢k_minus12⁢x13-0.313.1-0.31k_minus12=10⁢ln⁡2⁢1k13=496⁢k_minus13k13b=4060-496⁢k_minus13⁢effectk14=k_minus1496effect=0.2⁢x17+0.8⁢x19APequil$
Source
Derived from workspace Sedaghat, Sherman, Quon, 2002 at changeset d111840f8557.
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This work is licensed under a Creative Commons Attribution 3.0 Unported License.