Abstract
Further results on the study of the dynamics of HIV infection with grids of conformon-P systems are reported. This study clearly shows a subdivision in two phases of the mechanism at the base of the considered dynamics.
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Ahmed, E., Agiza, H.N., Hassan, S.Z.: On modelling hepatitis B transmission using cellular automata. J. Stat. Phys. 92(3/4) (1998)
Corne, D.W., Frisco, P.: Dynamics of HIV infection studied with cellular automata and conformon-P systems. BioSystems (to appear)
Deutsch, A., Dormann, S.: Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis, Birkäusen, Boston (2004)
Dos Santos, R.M., Coutinho, S.: Dynamics of HIV infection: a cellular automata approach. Physical Review Letters 87(16), 168102 (2001)
Frisco, P.: Conformon-p systems with negative values. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2007. LNCS, vol. 4860, Springer, Heidelberg (this volume, 2007)
Frisco, P.: The conformon-P system: A molecular and cell biology-inspired computability model. Theoretical Computer Science 312(2-3), 295–319 (2004)
Frisco, P.: Infinite hierarchies of conformon-P systems. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2006. LNCS, vol. 4361, pp. 395–408. Springer, Heidelberg (2006)
Frisco, P., Gibson, R.T.: A simulator and an evolution program for conformon-P systems. In: SYNASC 2005. 7th International Symposium on Simbolic and Numeric Algorithms for Scientific Computing, Workshop on Theory and Applications of P Systems, TAPS, Timisoara (Romania), September 26-27, 2005, pp. 427–430. IEEE Computer Society, Los Alamitos (2005)
Frisco, P., Ji, S.: Conformons-P systems. In: Hagiya, M., Ohuchi, A. (eds.) DNA Computing. LNCS, vol. 2568, pp. 291–301. Springer, Heidelberg (2003)
Frisco, P., Ji, S.: Towards a hierarchy of info-energy P systems. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) Membrane Computing. LNCS, vol. 2597, pp. 302–318. Springer, Heidelberg (2003)
Kamp, C., Bornholdt, S.: From HIV infection to AIDS: a dynamically induced percolation transition? Proceedings of the Royal Society B: Biological Sciences 269(1504), 2035–2040 (2002)
Martins, M.L., Ceotto, G., Alves, S.G., Bufon, C.C.B., Silva, J.M., Laranjeira, F.F.: Cellular automata model for citrus variegated chlorosis. Phys. Rev. E 62(5), 7024–7030 (2000)
Păun, G.: Membrane Computing. An Introduction. Springer, Berlin (2002)
Perelson, A.S., Nelson, P.W.: Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review 41(1), 3–44 (1999)
Strain, M.C., Levine, H.: Comment on Dynamics of HIV infection: a cellular automata approach. Physical review letters 89(21), 219805 (2002)
Toffoli, T., Margolus, N.: Cellular Automata Machines: A New Environment for Modeling. MIT press, Cambridge (1987)
Venkatachalam, S., Mikler, A.: Towards computational epidemiology: Using stochastic cellular automata in modeling spread of diseases. In: Proceedings of the 4th Annual International Conference on Statistics, Mathematics and Related Fields (2005)
Wodarz, D., Nowak, M.A.: Mathematical models of HIV pathogenesis and treatment. Bioessays 24(12), 1178–1187 (2002)
Zandron, C.: P-systems web page: http://psystems.disco.unimib.it
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Frisco, P., Corne, D.W. (2007). Modeling the Dynamics of HIV Infection with Conformon-P Systems and Cellular Automata. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2007. Lecture Notes in Computer Science, vol 4860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77312-2_2
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DOI: https://doi.org/10.1007/978-3-540-77312-2_2
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