This work is concerned with modeling the key interrelated biochemical react
ions involved in initiating and inhibiting pacemaking activity in the mamma
lian sinoatrial node. A detailed model involving G-proteins was developed t
o better represent the activation pathway for adenylate cyclase. Concentrat
ion profiles of an activated G-protein complex [alpha(T)C] were established
as a function of the membrane bound calcium calmodulin concentration. A pr
eviously developed model used to establish temporal profiles of cAMP was im
proved using the G-protein effects through the [alpha(T)C] functionality. M
ethods were also developed to model inhibition of G-protein by acetylcholin
e. Analytical solutions were developed to predict acetylcholine concentrati
on profiles as a function of diffusion Darameter and duration of acetylchol
ine pulses. The model was used to demonstrate suppression of cAMP by acetyl
choline through G-protein pathways. It provides a basis for a tool to quant
ify key biochemical species during stimulation and inhibition of sinoatrial
node pacemaking. A stability analysis of the model equations has potential
application in studying the link between the biochemical species concentra
tions and abnormal effects in sinoatrial node pacemaking. (C) 1999 Biomedic
al Engineering Society. [S0090-6964(99)01006-1].