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Team:SJTU-BioX-Shanghai/modeling
From 2010.igem.org
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| + | \frac{\mathrm{d}[Ca^{2+}]}{\mathrm{d} t} | ||
| + | =r1-k1*[Ca^{2+}]*[CAM]-k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM][Cn]-b1*[Ca^{2+}] | ||
| + | \frac{\mathrm{d}[CAM]}{\mathrm{d} t} | ||
| + | =r2-k1*[Ca^{2+}][CAM]-b2*[CAM] | ||
| + | \frac{\mathrm{d}[Ca^{2+}\textrm{-}CAM]}{\mathrm{d} t} | ||
| + | =k1*[Ca^{2+} ]*[CAM]-k4*[CAM]*[Ca^{2+}\textrm{-}CAM]*[Cn]-k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]-b3*[Ca^{2+}\textrm{-}CAM] | ||
| + | \frac{\mathrm{d}[Ca^{2+}\textrm{-}CAM\textrm{-}Cabin1]}{\mathrm{d} t} | ||
| + | =k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-b4*[Ca^{2+}\textrm{-}CAM\textrm{-}Cabin1] | ||
| + | \frac{\mathrm{d}[MEF2]}{\mathrm{d} t} | ||
| + | =r3-k3*[MEF2]*[Cabin1]+k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-k5*[NFAT]*[MEF2]-b5*[MEF2] | ||
| + | \frac{\mathrm{d}[Cabin1]}{\mathrm{d} t} | ||
| + | =r4-k3*[MEF2]*[Cabin1]-\frac{kcat2*[activated\textrm{-}CAMKK]*[Cabin1]}{km2+[Cabin1]}-b6*[Cabin1] | ||
| + | \frac{\mathrm{d}[MEF2\textrm{-}Cabin1]}{\mathrm{d} t} | ||
| + | =-k2*[Ca2+\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]+k3*[MEF2]*[Cabin1]-b7*[MEF2\textrm{-}Cabin1] | ||
| + | \frac{\mathrm{d}[phosphorylated\textrm{-}Cabin1]}{\mathrm{d} t} | ||
| + | =\frac{kcat2*[activated\textrm{-}CAMKK]*[Cabin1]}{km2+[Cabin1]}-b16*[phosphorylated\textrm{-}Cabin1] | ||
| + | \frac{\mathrm{d}[Cn]}{\mathrm{d} t} | ||
| + | =r5-k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM]*[Cn]-b8*[Cn] | ||
| + | \frac{\mathrm{d}[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}{\mathrm{d} t} | ||
| + | =k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM]*[Cn]-b9*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn] | ||
| + | \frac{\mathrm{d}[phosphorylated\textrm{-}NFAT]}{\mathrm{d} t} | ||
| + | =r6-\frac{kcat1*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]*[phosphorylated\textrm{-}NFAT]}{km1+[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}-b10*[phosphorylated\textrm{-}NFAT] | ||
| + | \frac{\mathrm{d}[NFAT]}{\mathrm{d} t} | ||
| + | =\frac{kcat1*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]*[phosphorylated\textrm{-}NFAT]}{km1+[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}-k5 *[NFAT]*[MEF2]- b11 *[NFAT] | ||
| + | \frac{\mathrm{d}[NFAT\textrm{-}MEF2]}{\mathrm{d} t} | ||
| + | =k5 *[NFAT]*[MEF2]- b12 *[NFAT\textrm{-}MEF2] | ||
| + | \frac{\mathrm{d}[mRNA]}{\mathrm{d} t} | ||
| + | =r7+\frac{e*\frac{[NFAT\textrm{-}MEF2]^n}{H^n}}{1+\frac{[NFAT\textrm{-}MEF2]^n}{H^n}}-b13 *[mRNA] | ||
| + | \frac{\mathrm{d}[CAMKK]}{\mathrm{d} t} | ||
| + | =r8–k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]-b14 *[CAMKK] | ||
| + | \frac{\mathrm{d}[activated\textrm{-}CAMKK]}{\mathrm{d} t} | ||
| + | =k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]- b15*[activated\textrm{-}CAMKK] | ||
| + | </math> | ||
| + | <div class="contentarea"> | ||
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Revision as of 14:50, 19 October 2010
</div> </html> <math> \frac{\mathrm{d}[Ca^{2+}]}{\mathrm{d} t} =r1-k1*[Ca^{2+}]*[CAM]-k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM][Cn]-b1*[Ca^{2+}] \frac{\mathrm{d}[CAM]}{\mathrm{d} t} =r2-k1*[Ca^{2+}][CAM]-b2*[CAM] \frac{\mathrm{d}[Ca^{2+}\textrm{-}CAM]}{\mathrm{d} t} =k1*[Ca^{2+} ]*[CAM]-k4*[CAM]*[Ca^{2+}\textrm{-}CAM]*[Cn]-k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]-b3*[Ca^{2+}\textrm{-}CAM] \frac{\mathrm{d}[Ca^{2+}\textrm{-}CAM\textrm{-}Cabin1]}{\mathrm{d} t} =k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-b4*[Ca^{2+}\textrm{-}CAM\textrm{-}Cabin1] \frac{\mathrm{d}[MEF2]}{\mathrm{d} t} =r3-k3*[MEF2]*[Cabin1]+k2*[Ca^{2+}\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]-k5*[NFAT]*[MEF2]-b5*[MEF2] \frac{\mathrm{d}[Cabin1]}{\mathrm{d} t} =r4-k3*[MEF2]*[Cabin1]-\frac{kcat2*[activated\textrm{-}CAMKK]*[Cabin1]}{km2+[Cabin1]}-b6*[Cabin1] \frac{\mathrm{d}[MEF2\textrm{-}Cabin1]}{\mathrm{d} t} =-k2*[Ca2+\textrm{-}CAM]*[MEF2\textrm{-}Cabin1]+k3*[MEF2]*[Cabin1]-b7*[MEF2\textrm{-}Cabin1] \frac{\mathrm{d}[phosphorylated\textrm{-}Cabin1]}{\mathrm{d} t} =\frac{kcat2*[activated\textrm{-}CAMKK]*[Cabin1]}{km2+[Cabin1]}-b16*[phosphorylated\textrm{-}Cabin1] \frac{\mathrm{d}[Cn]}{\mathrm{d} t} =r5-k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM]*[Cn]-b8*[Cn] \frac{\mathrm{d}[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}{\mathrm{d} t} =k4*[Ca^{2+}]*[Ca^{2+}\textrm{-}CAM]*[Cn]-b9*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn] \frac{\mathrm{d}[phosphorylated\textrm{-}NFAT]}{\mathrm{d} t} =r6-\frac{kcat1*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]*[phosphorylated\textrm{-}NFAT]}{km1+[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}-b10*[phosphorylated\textrm{-}NFAT] \frac{\mathrm{d}[NFAT]}{\mathrm{d} t} =\frac{kcat1*[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]*[phosphorylated\textrm{-}NFAT]}{km1+[Ca^{2+}\textrm{-}Ca^{2+}\textrm{-}CAM\textrm{-}Cn]}-k5 *[NFAT]*[MEF2]- b11 *[NFAT] \frac{\mathrm{d}[NFAT\textrm{-}MEF2]}{\mathrm{d} t} =k5 *[NFAT]*[MEF2]- b12 *[NFAT\textrm{-}MEF2] \frac{\mathrm{d}[mRNA]}{\mathrm{d} t} =r7+\frac{e*\frac{[NFAT\textrm{-}MEF2]^n}{H^n}}{1+\frac{[NFAT\textrm{-}MEF2]^n}{H^n}}-b13 *[mRNA] \frac{\mathrm{d}[CAMKK]}{\mathrm{d} t} =r8–k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]-b14 *[CAMKK] \frac{\mathrm{d}[activated\textrm{-}CAMKK]}{\mathrm{d} t} =k6*[Ca^{2+}\textrm{-}CAM]*[CAMKK]- b15*[activated\textrm{-}CAMKK] </math>
