Abstract
This work is concerned with modeling the key interrelated biochemical reactions involved in initiating and inhibiting pacemaking activity in the mammalian sinoatrial node. A detailed model involving G-proteins was developed to better represent the activation pathway for adenylate cyclase. Concentration profiles of an activated G-protein complex [αTC] were established as a function of the membrane bound calcium calmodulin concentration. A previously developed model used to establish temporal profiles of cAMP was improved using the G-protein effects through the [αTC] functionality. Methods were also developed to model inhibition of G-protein by acetylcholine. Analytical solutions were developed to predict acetylcholine concentration profiles as a function of diffusion parameter and duration of acetylcholine pulses. The model was used to demonstrate suppression of cAMP by acetylcholine through G-protein pathways. It provides a basis for a tool to quantify 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 concentrations and abnormal effects in sinoatrial node pacemaking. © 1999 Biomedical Engineering Society.
PAC99: 8710+e, 8714Ee, 8719Nn, 8719Hh, 8717Aa
Similar content being viewed by others
REFERENCES
Brown, H. F., D. Noble, S. I. Noble, and A. I. Taupigan, Physiol. (Paris) 29:370, 1986.
Brown, A. M., A. Yatani, Y. Imoto, J. Codina, R. Mattera, and L. Birnbaumer, Ann. (N.Y.) Acad. Sci. 560:373, 1989.
Demir, S. S., J. W. Clark, C. R. Murphey, and W. R. Giles, Am. J. Physiol. 266:C832-C852, 1994.
Demir, S. S., J. W. Clark, C. R. Murphey, and W. R. Giles, Am. J. Physiol. 276:H2221-H2244, 1999.
DiFrancesco, D. and D. Noble, Philos. Trans. R. Soc. London 307:353, 1985.
DiFrancesco, D., and C. Tromba, Pflugers Arch. Ges. Physiol. Menschen Tiere 410:139–142, 1987.
Dokos, S., B. G. Celler, and N. H. Lovell, Biomed. Eng. 21:321–335, 1993.
Dokos, S., B. Celler, and N. Lovell, J. Theor. Biol. 181:245–272, 1996.
Dokos, S., B. G. Celler, and N. H. Lovell, J. Theor. Biol. 182:21–44, 1996.
Dokos, S., B. G. Celler, and N. H. Lovell, Biomed. Eng. 25:769–782, 1997.
Gilman, A. G., Cell 36:577–579, 1984.
Gilman, A. G., Annu. Rev. Biochem. 56:615, 1987.
Goldberger, A. L., and E. Goldberger, Clinical Electrocardiography—A Simplified Approach, 3rd ed., New Delhi: Jaycee Brothers, 1986, p. 3.
Hagiwara, N., H. Irisawa, and M. Kameyama, J. Physiol. (Paris) 395:233–253, 1988.
Hischeler, J., M. Kameyama, and W. Trautwein, Pflugers Arch. Ges. Physiol. Menschen Tiere 407:182–189, 1986.
Irisawa, H., H. F. Brown, and W. Giles, Cardiac Pacemaking in Sinoatrial Node. Physiol. Rev. 73:1, 1993.
Iyengar, R., and Birnbaumer, L. G., ed., G. Proteins, New York: Academic 1990, p. 1.
Kale, S. S. Mathematical modeling of the biochemical reactions of initiation and inhibition of sinoatrial node pacemaking, PhD dissertation, Department of Chemical and Biochemical Engineering, Rutgers University, 1996.
Nho, K. Dual functionality of calmodulin in cell activation, PhD dissertation, Department of Chemical and Biochemical Engineering, Rutgers University, 1989.
Petzold, L. R. Sandia Report No. Sand 82–863, 1982.
Premont, R. T., and R. Iyengar, in Ref. 17, p. 147.
Rasmusson, R. L., J. W. Clark, W. R. Giles, E. F. Shibata, and D. L. Campbell, J. Am. Physiol. Soc. 363:6135, 1990.
Rodbell, M., L. Birnhauser, S. L. Pohl, and H. M. J. Krans, J. Biol. Chem. 246:1877, 1971.
Vieth, W. R., Membrane Systems: Analysis and Design, New York: Wiley, 1994, p. 318.
Vieth, W. R., K. Nho, and S. S. Kale, Adv. Biomed. Eng. 21:669, 1993.
Wang, Y., and S. L. Lipsius, Circ. Res. 79:109–114, 1996.
Wilders, R., H. J. Jongsma, and C. G. Van Ginneken, Biophys. J. 60:1202–1216, 1991.
Yatani, A., J. Codina, and A. M. Brown, in Ref. 17, p. 241.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kale, S.S., Vieth, W.R. & Nho, K. The Role of G-Proteins in the Regulation of Pacemaking Activity. Annals of Biomedical Engineering 27, 746–757 (1999). https://doi.org/10.1114/1.228
Issue Date:
DOI: https://doi.org/10.1114/1.228