Artículo
Strier, D.E.; Dawson, S.P. "Role of complexing agents in the appearance of Turing patterns" (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 69(6 2):066207-1-066207-10
Consulte la política de Acceso Abierto del editor
Abstract:
A four-species reaction-diffusion system was studied where Turing patterns are stabilized by the presence of fast reversible reactions between the morphogens and two different mobile complexing agents (CA). A quantitative explanation of the way interaction with the CA changes the size of the Turing space making it possible to observe patterns even in a region where the free diffusion coefficients of the relevant species are equal. The way mobility of CAs affect the characteristic size of the pattern was shown. An example of biological interest was provided to illustrate the main procedures and results.
Registro:
| Documento: | Artículo |
| Título: | Role of complexing agents in the appearance of Turing patterns |
| Autor: | Strier, D.E.; Dawson, S.P. |
| Filiación: | Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina Centre de Recherche Paul Pascal, CNRS, France |
| Palabras clave: | Chemical reactors; Complexation; Computer simulation; Concentration (process); Diffusion; Gels; Mathematical models; Proteins; Reaction kinetics; Starch; Complexing agents (CA); Morphogens; Reaction-diffusion system; Turing patterns; Agents; biological model; biophysics; chemical model; diffusion; procedures; theoretical model; Biophysics; Diffusion; Models, Biological; Models, Chemical; Models, Theoretical |
| Año: | 2004 |
| Volumen: | 69 |
| Número: | 6 2 |
| Página de inicio: | 066207 |
| Página de fin: | 1-066207-10 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.69.066207 |
| Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys. |
| ISSN: | 15393755 |
| CODEN: | PLEEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v69_n62_p066207_Strier |
Referencias:
- Glansdorff, P., Prigogine, I., (1971) Thermodynamic Theory of Structure, Stability and Fluctuations, , Wiley, New York
- Nicolis, G., Prigogine, I., (1977) Self-organization in NonEquilibrium Systems, , Wiley, New York
- Turing, A.M., (1952) Philos. Trans. R. Soc. London, Ser. B, 237, p. 37
- Borckmans, P., Dewel, G., De Wit, A., Dulos, E., Boissonade, J., Gauffre, F., De Kepper, P., (2002) Int. J. Bifurcation Chaos Appl. Sci. Eng., 12 (11), p. 2307
- Murray, J.D., (1989) Mathematical Biology, , Springer, New York, Chap. 12
- Noszticzius, Z., Horsthemke, W., McCormick, B., Swinney, H., Tam, W., (1987) Nature (London), 329, p. 619
- Castets, V., Dulos, E., Boissonade, J., De Kepper, P., (1990) Phys. Rev. Lett., 64, p. 2953
- De Kepper, P., Castets, V., Dulos, E., Boissonade, J., (1991) Physica D, 49, p. 161
- Boissonade, J., (1988) J. Phys. (Paris), 49, p. 541
- Dewel, G., Walgraef, D., Borckmans, P., (1987) J. Chim. Phys. Phys.-chim. Biol., 84, p. 1335
- Lengyel, I., Epstein, I., (1991) Science, 251, p. 650
- Lengyel, A.I., Rabai, Gy., Epstein, I., (1990) J. Am. Chem. Soc., 112, p. 4606
- (1990) J. Am. Chem. Soc., 112, p. 9104
- Ouyang, Q., Swinney, H., (1991) Nature (London), 352, p. 610
- Ouyang, Q., Swinney, H., (1991) Chaos, 1, p. 411
- Lengyel, I., Epstein, I., (1992) Proc. Natl. Acad. Sci. U.S.A., 89, p. 3977
- Rudovics, B., Barillot, E., Davies, P.W., Dulos, E., Boissonade, J., De Kepper, P., (1999) J. Phys. Chem. A, 103, p. 1790
- Wagner, J., Keizer, J., (1994) Biophys. J., 67, p. 447
- Allbritton, N.L., Meyer, T., Stryer, L., (1992) Science, 258, p. 1812
- Hasslacher, B., Kapral, R., Lawniczak, A., (1993) Chaos, 3, p. 7
- Strier, D.E., Dawson, S.P., (2000) J. Chem. Phys., 112, p. 2
- (2000) J. Chem. Phys., 112, p. 825
- Kondo, S., Asai, R., (1995) Nature (London), 376, p. 765
- Strier, D.E., Chernomoretz, A., Dawson, S.P., (2002) Phys. Rev. E, 65, p. 046233
- note; note; Sneyd, J., Dale, P., Duffy, A., (1998) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 58, p. 4
- Smith, G., (1996), Ph.D. thesis, University of California, Davis; D. E. Strier and S. P. Dawson (unpublished); note; note; note; In Sec. III we analyze a particular example of this procedure. See Ref. [17] for a general treatment; Keener, J., Sneyd, J., (1998) Mathematical Physiology, , Springer-Verlag, New York
- Bruno, W., Pearson, J.E., (1992) Chaos, 2, p. 513
- This was first recognized in Ref. [12]; B. C. Goodwin, J. D. Murray, and D. Baldwin (unpublished); Michailova, A., DelPrincipe, F., Egger, M., Niggli, E., (2002) Biophys. J., 83, p. 3134
- Meinhardt, H., (1999) On Growth and Form: Spatio-temporal Pattern Formation in Biology, pp. 129-148. , edited by M. A. J. Chaplain, G. D. Singh, and J. C. McLachlan (Wiley, London)
- Callamaras, N., Parker, I., (2000) EMBO J., 19, p. 3608
- Marchant, J.S., Parker, I., (2001) EMBO J., 20, p. 65
- Schnackenberg, J., (1979) J. Theor. Biol., 81, p. 389
Citas:
---------- APA ----------
Strier, D.E. & Dawson, S.P. (2004) . Role of complexing agents in the appearance of Turing patterns. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(6 2), 066207-1-066207-10.http://dx.doi.org/10.1103/PhysRevE.69.066207
---------- CHICAGO ----------
Strier, D.E., Dawson, S.P. "Role of complexing agents in the appearance of Turing patterns" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 69, no. 6 2 (2004) : 066207-1-066207-10.http://dx.doi.org/10.1103/PhysRevE.69.066207
---------- MLA ----------
Strier, D.E., Dawson, S.P. "Role of complexing agents in the appearance of Turing patterns" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 69, no. 6 2, 2004, pp. 066207-1-066207-10.http://dx.doi.org/10.1103/PhysRevE.69.066207
---------- VANCOUVER ----------
Strier, D.E., Dawson, S.P. Role of complexing agents in the appearance of Turing patterns. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2004;69(6 2):066207-1-066207-10.http://dx.doi.org/10.1103/PhysRevE.69.066207
