Article PDF
References
Allman, E., & Rhodes, J. (2010). Evolution. Trees, fast and accurate. Science, 327, 1376–1379.
Bakhtin, Y., & Heitsch, C. (2009). Large deviations for random trees and the branching of RNA secondary structures. Bull. Math. Biol. 71(1), 84–106.
Blöchl, F., Wittmann, D. M., & Theis, F. J. (2011). Effective parameters determining the information flow in hierarchical biological systems. Bull. Math. Biol. doi:10.1007/s11538-010-9604-6.
Bona, M., Sitharam, M., & Vince, A. (2011). Enumeration of viral capsid assembly pathways: tree orbits under permutation group action. Bull. Math. Biol. doi:10.1007/s11538-010-9606-4.
Dickenstein, A., & Perez Milan, M. (2011). How far is complex balancing from detailed balancing. Bull. Math. Biol. doi:10.1007/s11538-010-9611-7.
Hodgkin, A. L., Huxley, A. F., & Katz, B. (1952). Measurement of current-voltage relations in the membrane of the giant axon of Loligo. J. Physiol., 116, 424–448.
Hower, V., & Heitsch, C. (2011). Parametric analysis of RNA branching configurations. Bull. Math. Biol. doi:10.1007/s11538-010-9607-3.
Hurdal, M. K., & Stephenson, K. (2009). Discrete conformal methods for cortical brain flattening. Neuroimage, 45(1 Suppl), S86–98.
Laubenbacher, R., & Stigler, B. (2004). A computational algebra approach to the reverse engineering of gene regulatory networks. J. Theor. Biol., 229(4), 523–537.
Lotka, A. J. (1910). Contribution to the theory of periodic reaction. J. Phys. Chem., 14(3), 271–274.
Malaspinas, A., Eriksson, N., & Huggins, P. (2011). Parametric analysis of alignment and phylogenetic uncertainty. Bull. Math. Biol. doi:10.1007/s11538-010-9610-8.
McCaig, C., Begon, M., Norman, R. A., & Shankland, C. E. (2011). A symbolic investigation of superspreaders. Bull. Math. Biol. doi:10.1007/s11538-010-9603-7.
Michaelis, L., & Menten, M. L. (1913). Kinetik der Invertinwirkung. Biochem. Z., 49, 333–369.
Sainudiin, R., Thornton, K., Harlow, J., Booth, J., Stillman, M., Yoshida, R., Griffiths, R. C., McVean, G., & Donnelly, P. (2011). Experiments with the site frequency spectrum. Bull. Math. Biol. doi:10.1007/s11538-010-9605-5.
Sanchez, R., Grau, R., & Mogardo, E. (2006). A novel Lie algebra of the genetic code over the Galois field of four DNA bases. Math. Biosci., 202(1), 156–174.
Siebert, H. (2011). Analysis of discrete bioregulatory networks using symbolic steady states. Bull. Math. Biol. doi:10.1007/s11538-010-9609-1.
Shiu, A., & Sturmfels, B. (2010). Siphons in chemical reaction networks. Bull. Math. Biol., 72(6), 1448–1463.
Singh, G., Memoli, F., Ishkhanov, T., Sapiro, G., Carlsson, G., & Ringach, D. L. (2008). Topological analysis of population activity in visual cortex. J. Vis., 8(8), 1–18.
Sitharam, M., & Agbandje-McKenna, M. (2006). Modeling virus self-assembly pathways: Avoiding dynamics using geometric constraint decomposition. J. Comput. Biol., 13(6), 1232–1265.
Turing, A. M. (1952). The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B, Biol. Sci., 237, 37–72.
Wang, L., Meitu, R. R., & Donald, B. R. (2005). An algebraic geometry approach to protein structure determination from NMR data. In Proc. IEEE comput. syst. bioinform. conf. (pp. 235–246).
Weber, A., Sturm, T., & Abdel-Rahman, E. O. (2011). Algorithmic global criteria for excluding oscillations. Bull. Math. Biol. doi:10.1007/s11538-010-9618-0.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Laubenbacher, R. Algebraic Methods in Mathematical Biology. Bull Math Biol 73, 701–705 (2011). https://doi.org/10.1007/s11538-011-9643-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11538-011-9643-7