Abstract
The sodium-potassium pump is a fundamental transmembrane protein present in all animal cells. The functioning of the pump is described and analyzed in the formal framework of P systems, considered here as tools for modelling a bio-cellular process. New features such as variable membrane labelling, activation conditions for rules, membrane bilayer and specific communication rules are defined, to the aim of providing a more appropriate description of the pump. A Sevilla carpet of the sodium-potassium pump is given, as a starting point to identify the pumps as the processors able to execute the rules of a high-level P system in a maximal parallel and nondeterministic manner, activated and controlled by steady-state concentrations. Some related topics for further research are proposed.
Work partially supported by contribution of the EU commission under The Fifth Framework Programme, project “MolCoNet” IST-2001-32008.
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References
Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K., Walter, P.: Molecular Biology of the Cell, 4th edn. Garland Science, New York (2002)
Bernardini, F., Manca, V.: P systems with boundary rules. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 107–118. Springer, Heidelberg (2003)
Besozzi, D., Ardelean, I.I., Mauri, G.: The potential of P systems for modelling the activity of mechanosensitive channels in E. coli. In: Pre-Proc. Workshop on Membrane Computing, Rovira i Virgili University TR 28, pp. 84–102 (2003)
Besozzi, D.: Computational and Modelling Power of P Systems, PhD Thesis, University of Milano (2003)
Ciobanu, G.: Pumps systems of membranes. In: Proc. 2nd Brainstorming Week on Membrane Computing, University of Seville, pp. 130–134 (2004)
Ciobanu, G.: Software verification of the biomolecular systems. In: Modelling in Molecular Biology. Natural Computing Series, pp. 40–59. Springer, Heidelberg (2004)
Ciobanu, G., Ciubotariu, V., Tanasă, B.: A pi-calculus model of the Na pump. Genome Informatics, pp. 469–472. Universal Academy Press, Tokyo (2002)
Ciobanu, G., Păun, G., Ştefănescu, G.: Sevilla Carpets Associated with P Systems, Tech. Report 26, Rovira i Virgili University, 2003, 135–140. To appear in New Generation Computing, Springer (2004)
Csuhaj-Varjú, E., Vaszil, G.: P automata or purely communicating accepting P systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 219–233. Springer, Heidelberg (2003)
Franco, G., Manca, V.: A membrane system for the leukocyte selective recruitment. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 181–190. Springer, Heidelberg (2004)
Glitsch, H.G.: Electrophysiology of the sodium-potassium-ATPase in cardiac cells. Physiological Reviews 81(4), 1791–1826 (2001)
Glynn, I.M.: A hundred years of sodium pumping. Annu. Rev. Physiol. 64, 1–18 (2002)
Holmgren, M., Wagg, J., Bezanilla, F., Rakowski, R.F., de Weer, P., Gadsby, D.C.: Three distinct and sequential steps in the release of sodium ions by the Na/K-ATPase. Nature 403, 898–901 (2000)
Kaplan, J.H.: Biochemistry of Na,K-ATPase. Annu. Rev. Biochem. 71, 511–535 (2002)
Lingrel, J.B., Kuntzweiler, T.: Na + ,K + -ATPase. Journal of Biological Chemistry 269(31), 19659–19662 (1994)
Lodish, H., Berk, A., Zipursky, S.L., Matsudaira, P., Baltimore, D., Darnell, J.: Molecular Cell Biology, 4th edn. W.H. Freeman and Co., New York (2000)
Păun, G.: Computing with membranes. Journal of Computer and System Sciences 61(1), 108–143 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)
Therien, A.G., Blostein, R.: Mechanisms of sodium pump regulation. Am. J. Physiol. Cell Physiol. 279, C541–C566 (2000)
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Besozzi, D., Ciobanu, G. (2005). A P System Description of the Sodium-Potassium Pump. In: Mauri, G., Păun, G., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2004. Lecture Notes in Computer Science, vol 3365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31837-8_12
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