Diehl S, Henningsson E, Heyden A, Perna S. (2014). A one-dimensional moving-boundary model for tubulin-driven axonal growth. Journal of theoretical biology. 358 [PubMed]
Douglas J. (1955). On the numerical integration of ?2u ?x2 + ?2u ?y2 = ?u ?t by implicit methods. Journal of the Society for Industrial and Applied Mathematics. 3(1)
Graham B, Mclean D. (2004). Mathematical formulation and analysis of a continuum model for tubulin-driven neurite elongation Proc Roy Soc Lond. 460
Graham B, van Ooyen A, Mclean D. (2004). Continuum model for tubulin-driven neurite elongation Neurocomputing. 58
Graham BP, Lauchlan K, Mclean DR. (2006). Dynamics of outgrowth in a continuum model of neurite elongation. Journal of computational neuroscience. 20 [PubMed]
Graham BP, van Ooyen A. (2006). Mathematical modelling and numerical simulation of the morphological development of neurons. BMC neuroscience. 7 Suppl 1 [PubMed]
Henningsson E, Hansen E. (2013). A convergence analysis of the Peaceman–Rachford scheme for semilinear evolution equations SIAM Journal on Numerical Analysis. 51(4)
Hundsdorfer W, Verwer JG. (2003). Numerical Solution of Time-Dependent Advection-Difusion-Reaction Equations.
Kiddie G, McLean D, Van Ooyen A, Graham B. (2005). Biologically plausible models of neurite outgrowth. Progress in brain research. 147 [PubMed]
McLean DR, Graham BP. (2006). Stability in a mathematical model of neurite elongation. Mathematical medicine and biology : a journal of the IMA. 23 [PubMed]
Miller KE, Heidemann SR. (2008). What is slow axonal transport? Experimental cell research. 314 [PubMed]
Peaceman DW, Rachford HH. (1955). The numerical solution of parabolic and elliptic differential equations Journal of the Society for Industrial and Applied Mathematics. 3(1)
Pena JM, Jerusalem A, Garcia JA, McHugh S. (2012). A model of the spatially dependent mechanical properties of the axon during its growth CMES – Computer Modeling in Engineering and Sciences,. 87(5)
Smith DA, Simmons RM. (2001). Models of motor-assisted transport of intracellular particles. Biophysical journal. 80 [PubMed]
Suter DM, Miller KE. (2011). The emerging role of forces in axonal elongation. Progress in neurobiology. 94 [PubMed]
Walker RA et al. (1988). Dynamic instability of individual microtubules analyzed by video light microscopy: rate constants and transition frequencies. The Journal of cell biology. 107 [PubMed]
Zadeh KS, Shah SB. (2010). Mathematical modeling and parameter estimation of axonal cargo transport. Journal of computational neuroscience. 28 [PubMed]
van Ooyen A. (2011). Using theoretical models to analyse neural development. Nature reviews. Neuroscience. 12 [PubMed]