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CaMKact=1−CaMK1=CaMK+CaMKB+CaMKBOX+CaMKP+CaMKPOX+CaMKA+CaMKA2+CaMKAOX+CaMKOXddtCaMKB=−vIB−vBP−vBBoddtCaMKP=vAP+vBP−vPPoddtCaMKA=−vAP−vAI−vA1A2+vAoAddtCaMKA2=vA1A2ddtCaMKBOX=vIoBo−vBoPo+vBBoddtCaMKPOX=vAoPo+vBoPo+vPPoddtCaMKAOX=−vAoPo−vAoA−vAoIoddtCaMKOX=−vIoBo+vAoIo−vIoIvIB=kf⋅CaMK−kb⋅CaMKBvIoBo=kf⋅rCaMKO⋅CaMKOX−kb⋅CaMKBOXvAP=kf⋅rCaMKP⋅CaMKA−kb⋅CaMKPvAoPo=kf⋅rCaMKP⋅CaMKAOX−kb⋅CaMKPOXcamkb∞=kfa2CaMKcaavg2caavg2+kmCa2CaMK2+kfa4CaMKcaavg4caavg4+kmCa4CaMK4+kfbCaMKkf=vCaMK⋅camkb∞kb=vCaMK⋅(1−camkb∞)kph=kphosCaMK⋅aMKactvBP=kph⋅CaMKB−kdephCaMK⋅CaMKPvBoPo=kph⋅CaMKBOX−kdephCaMK⋅CaMKPOXvA1A2=kP1P2⋅CaMKA−kP2P1⋅CaMKA2vAI=kdephCaMK⋅CaMKAvAoIo=kdephCaMK⋅CaMKAOXvBBo=koxCaMK⋅H2O2⋅CaMKB−krdCaMK⋅CaMKBOXvPPo=koxCaMK⋅H2O2⋅CaMKP−krdCaMK⋅CaMKPOXvIoI=krdCaMK⋅CaMKOXvAoA=krdCaMK⋅CaMKAOX\begin{align} CaMK_{act} &= 1 - CaMK \\ 1 &= CaMK + CaMKB + CaMKBOX + CaMKP + CaMKPOX + CaMKA + CaMKA2 + CaMKAOX + CaMKOX \\ \frac{d}{dt} CaMKB &= -v_{IB} - v_{BP} - v_{BBo} \\ \frac{d}{dt} CaMKP &= v_{AP} + v_{BP} - v_{PPo} \\ \frac{d}{dt} CaMKA &= -v_{AP} - v_{AI} - v_{A1A2} + v_{AoA} \\ \frac{d}{dt} CaMKA2 &= v_{A1A2} \\ \frac{d}{dt} CaMKBOX &= v_{IoBo} - v_{BoPo} + v_{BBo} \\ \frac{d}{dt} CaMKPOX &= v_{AoPo} + v_{BoPo} + v_{PPo} \\ \frac{d}{dt} CaMKAOX &= -v_{AoPo} - v_{AoA} - v_{AoIo} \\ \frac{d}{dt} CaMKOX &= -v_{IoBo} + v_{AoIo} - v_{IoI} \\ v_{IB} &= k_f \cdot CaMK - k_b \cdot CaMKB \\ v_{IoBo} &= k_f \cdot r_{CaMKO} \cdot CaMKOX - k_b \cdot CaMKBOX \\ v_{AP} &= k_f \cdot r_{CaMKP} \cdot CaMKA - k_b \cdot CaMKP \\ v_{AoPo} &= k_f \cdot r_{CaMKP} \cdot CaMKAOX - k_b \cdot CaMKPOX \\ camkb_\infty &= kfa2_{CaMK} \frac{ca_{avg}^2}{ca_{avg}^2 + kmCa2_{CaMK}^2} + kfa4_{CaMK} \frac{ca_{avg}^4}{ca_{avg}^4 + kmCa4_{CaMK}^4} + kfb_{CaMK} \\ k_f &= v_{CaMK} \cdot camkb_\infty \\ k_b &= v_{CaMK} \cdot (1 - camkb_\infty) \\ kph &= kphos_{CaMK} \cdot aMK_{act} \\ v_{BP} &= kph \cdot CaMKB - kdeph_{CaMK} \cdot CaMKP \\ v_{BoPo} &= kph \cdot CaMKBOX - kdeph_{CaMK} \cdot CaMKPOX \\ v_{A1A2} &= k_{P1P2} \cdot CaMKA - k_{P2P1} \cdot CaMKA2 \\ v_{AI} &= kdeph_{CaMK} \cdot CaMKA \\ v_{AoIo} &= kdeph_{CaMK} \cdot CaMKAOX \\ v_{BBo} &= kox_{CaMK} \cdot \mathtt{H_2O_2} \cdot CaMKB - krd_{CaMK} \cdot CaMKBOX \\ v_{PPo} &= kox_{CaMK} \cdot \mathtt{H_2O_2} \cdot CaMKP - krd_{CaMK} \cdot CaMKPOX \\ v_{IoI} &= krd_{CaMK} \cdot CaMKOX \\ v_{AoA} &= krd_{CaMK} \cdot CaMKAOX \\ \end{align}
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NRVM CaMKII model
Beta-adrenergic system
NRVM CaMKII model
Original CaMKII model