Citation: Maya Mincheva, Gheorghe Craciun. Graph-theoretic conditions for zero-eigenvalue Turing instability in general chemical reaction networks[J]. Mathematical Biosciences and Engineering, 2013, 10(4): 1207-1226. doi: 10.3934/mbe.2013.10.1207
[1] | Comm. in Math. Sciences, 7 (2009), 867-900. |
[2] | Adv. in Appl. Math., 44 (2010), 168-184. |
[3] | Partial differential equations and dynamical systems, 85-133, Res. Notes in Math., 101, Pitman, Boston, MA, 1984. |
[4] | Ph.D thesis, Ohio State University, 2002. |
[5] | SIAM J. Appl. Math., 65 (2005), 1526-1546. |
[6] | SIAM J. Appl. Math., 66 (2006), 1321-1338. |
[7] | PNAS, 103 (2006), 8697-8702. |
[8] | J. Math. Chem., 46 (2009), 322-339. |
[9] | Arch. Rational Mech. Anal., 49 (1972) 187-194. |
[10] | Written Version of Lectures Given at the Mathematical Research Center, University of Wisconsin, Madison, WI, 1979. Available at http://www.chbmeng.ohio-state.edu/~feinberg/LecturesOnReactionNetworks. |
[11] | Arch. Rational Mech. Anal., 132 (1995), 311-370. |
[12] | Interscience, New York, 1960. |
[13] | FEBS Lett., 217 (1987), 212-215. |
[14] | FEBS Lett., 532 (2002), 295-299. |
[15] | Arch. Rational Mech. Anal., 47 (1972), 81-116. |
[16] | Academic Press, Orlando, 1985. |
[17] | Proc. IEEE, 96 (2008), 1281-1291. |
[18] | J. Math. Biol., 55 (2007), 61-86. |
[19] | J. Chem. Phys., 125 (2006), 204102. |
[20] | 2nd ed., Springer-Verlag, New York, 1993. |
[21] | J. Math. Biol., 41 (2000), 493-512. |
[22] | Lin. Alg. Appl., 398 (2005), 69-74. |
[23] | Math. Biosci., 240 (2012), 92-113. |
[24] | J. R. Soc. Interface, 2 (2005), 419-430. |
[25] | Bull. Math. Biol., 57 (1995), 247-276. |
[26] | Phil. Trans. R Soc. London B, 237 (1952), 37-72. |
[27] | (Russian), Nauka, Moscow, 1987, 57-102. |
[28] | J. Math. Anal. Appl., 254 (2001), 138-153. |
[29] | arXiv:1202.3621, (2012). |