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Adenylyl Cyclase Catalytic Mechanism
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Dessauer, C. W. et al. J. Biol. Chem. 1997;272:27787-27795
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# # Adenylyl Cyclase ATP-cAMP pathway, through E-PPi and E-cAMP complexes # # e0 - [E](0), intial enzyme (E) concentration # ee - [E](t). # es - [E-ATP](t). # eqp - [E-cAMP-PPi](t). # eq - [E-cAMP](t). # ep - [E-PPi](t). # # Enzyme E (Adenylyl Cyclase) # Products cAMP, PPi # Substrate ATP. # cAMP' = k09*eq - k10*ee*cAMP \ + k07*eqp - k08*ep*cAMP PPi' = k11*ep - k12*ee*PPi \ + k05*eqp - k06*eq*PPi ATP' = -k01*ee*atp + k02*es # # ee(t) # ee = e0-es-eqp-eq-ep aux ee = ee #ee' = k02*es - k01*ee*ATP + k09*eq + k11*ep - k10*ee*cAMP - k12*ee*PPi # #es(t) # es'=k01*ee*ATP + k04*eqp - (k02 + k03)*es # # eqp(t) # eqp'=k03*es + k06*eq*PPi + k08*ep*cAMP - (k04+k05+k07)*eqp # # eq(t) # eq'=k05*eqp + k10*ee*cAMP - k06*eq*PPi - k09*eq # # ep(t) # ep'=k07*eqp + k12*ee*PPi - k08*ep*cAMP - k11*ep # # Initial values # # ATP, 10 microMolar to 2.56 mM # init atp=0.002,amp=0.020,ppi=0.002 # init ATP=0.002 init cAMP=0 init PPi=0 # # Rate constants in (1/s) or (1/M)(1/s), Dessauer et al, 1997 # par k01=262000 par k02=89.5 par k03=59 par k04=2.6 par k05=0.8 par k06=2780 par k07=1060 par k08=111000 par k09=0.39 par k10=142 par k11=56 par k12=354000 # # Initial Free Enzyme concentration, e0 = 2 microMolar # par e0=2e-6 # @ Total=500 dt=0.01 xlo=0 xhi=500 ylo=0 yhi=0.0015 maxstor=600000 \ bounds=1000000 nOutput=10 back=white method=Stiff # # Data columns: Time cAMP PPi ATP es eqp eq ep ee # done
, intial enzyme (E) concentration # ee - [E](t).](http://images.slideplayer.com/2/5542471/slides/slide_9.jpg "# es - [E-ATP](t). # eqp - [E-cAMP-PPi](t). # eq - [E-cAMP](t). # ep - [E-PPi](t). # # Enzyme E (Adenylyl Cyclase) # Products cAMP, PPi # Substrate ATP. # cAMP = k09*eq - k10*ee*cAMP \ + k07*eqp - k08*ep*cAMP PPi = k11*ep - k12*ee*PPi \ + k05*eqp - k06*eq*PPi ATP = -k01*ee*atp + k02*es # # ee(t) # ee = e0-es-eqp-eq-ep aux ee = ee #ee = k02*es - k01*ee*ATP + k09*eq + k11*ep - k10*ee*cAMP - k12*ee*PPi # #es(t) # es =k01*ee*ATP + k04*eqp - (k02 + k03)*es # # eqp(t) # eqp =k03*es + k06*eq*PPi + k08*ep*cAMP - (k04+k05+k07)*eqp # # eq(t) # eq =k05*eqp + k10*ee*cAMP - k06*eq*PPi - k09*eq # # ep(t) # ep =k07*eqp + k12*ee*PPi - k08*ep*cAMP - k11*ep # # Initial values # # ATP, 10 microMolar to 2.56 mM # init atp=0.002,amp=0.020,ppi=0.002 # init ATP=0.002 init cAMP=0 init PPi=0 # # Rate constants in (1/s) or (1/M)(1/s), Dessauer et al, 1997 # par k01= par k02=89.5 par k03=59 par k04=2.6 par k05=0.8 par k06=2780 par k07=1060 par k08= par k09=0.39 par k10=142 par k11=56 par k12= # # Initial Free Enzyme concentration, e0 = 2 microMolar # par e0=2e-6 Total=500 dt=0.01 xlo=0 xhi=500 ylo=0 yhi= maxstor= \ bounds= nOutput=10 back=white method=Stiff # # Data columns: Time cAMP PPi ATP es eqp eq ep ee # done.")
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# # Adenylyl Cyclase ATP-cAMP pathway, through E-PPi complex only # # e0 - [E](0), intial enzyme (E) concentration # ee - [E](t). # es - [E-ATP](t). # eqp - [E-cAMP-PPi](t). # eq - [E-cAMP](t). <--- NOT used # ep - [E-PPi](t). # # Enzyme E (Adenylyl Cyclase) # Products cAMP, PPi # Substrate ATP # cAMP' = k07*eqp - k08*ep*cAMP PPi' = k11*ep - k12*ee*PPi ATP' = -k01*ee*atp + k02*es # # ee(t) # ee = e0-es-eqp-ep aux ee=ee #ee' = k02*es - k01*ee*ATP + k11*ep - k12*ee*PPi # # es(t) # es'=k01*ee*ATP + k04*eqp - (k02 + k03)*es # # eqp(t) # eqp'=k03*es + k08*ep*cAMP - (k04+k07)*eqp # # eq(t) # #eq'= k10*ee*cAMP - k09*eq # # ep(t) # ep'=k07*eqp + k12*ee*PPi - k08*ep*cAMP - k11*ep # # Initial values # # ATP, 10 microMolar to 2.56 mM # init atp=0.002,amp=0.020,ppi=0.002 # init ATP=0.002 init cAMP=0 init PPi=0 # # Rate constants in (1/s) or (1/M)(1/s), Dessauer et al, 1997 # par k01=262000 par k02=89.5 par k03=59 par k04=2.6 #par k05=0.8 #par k06=2780 par k07=1060 par k08=111000 #par k09=0.39 #par k10=142 par k11=56 par k12=354000 # # Initial Free Enzyme concentration, e0 = 2 microMolar # par e0=2e-6 # @ Total=500 dt=0.01 xlo=0 xhi=500 ylo=0 yhi=0.0015 maxstor=600000 \ bounds=1000000 nOutput=10 back=white method=Stiff # # Data columns: Time cAMP PPi ATP es eqp eq qp ee # done
, intial enzyme (E) concentration # ee - [E](t).](http://images.slideplayer.com/2/5542471/slides/slide_10.jpg "# es - [E-ATP](t). # eqp - [E-cAMP-PPi](t). # eq - [E-cAMP](t). <--- NOT used # ep - [E-PPi](t). # # Enzyme E (Adenylyl Cyclase) # Products cAMP, PPi # Substrate ATP # cAMP = k07*eqp - k08*ep*cAMP PPi = k11*ep - k12*ee*PPi ATP = -k01*ee*atp + k02*es # # ee(t) # ee = e0-es-eqp-ep aux ee=ee #ee = k02*es - k01*ee*ATP + k11*ep - k12*ee*PPi # # es(t) # es =k01*ee*ATP + k04*eqp - (k02 + k03)*es # # eqp(t) # eqp =k03*es + k08*ep*cAMP - (k04+k07)*eqp # # eq(t) # #eq = k10*ee*cAMP - k09*eq # # ep(t) # ep =k07*eqp + k12*ee*PPi - k08*ep*cAMP - k11*ep # # Initial values # # ATP, 10 microMolar to 2.56 mM # init atp=0.002,amp=0.020,ppi=0.002 # init ATP=0.002 init cAMP=0 init PPi=0 # # Rate constants in (1/s) or (1/M)(1/s), Dessauer et al, 1997 # par k01= par k02=89.5 par k03=59 par k04=2.6 #par k05=0.8 #par k06=2780 par k07=1060 par k08= #par k09=0.39 #par k10=142 par k11=56 par k12= # # Initial Free Enzyme concentration, e0 = 2 microMolar # par e0=2e-6 Total=500 dt=0.01 xlo=0 xhi=500 ylo=0 yhi= maxstor= \ bounds= nOutput=10 back=white method=Stiff # # Data columns: Time cAMP PPi ATP es eqp eq qp ee # done.")
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