Citation Relationships

Diehl S, Henningsson E, Heyden A (2016) Efficient simulations of tubulin-driven axonal growth. J Comput Neurosci [PubMed]

   Axon growth model (Diehl et al. 2016)

References and models cited by this paper

References and models that cite this paper

Diehl S, Henningsson E, Heyden A, Perna S (2014) A one-dimensional moving-boundary model for tubulin-driven axonal growth. J Theor Biol 358:194-207 [Journal] [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):42-65

Garcia JA,Pena JM,McHugh S,Jerusalem A (2012) A model of the spatially dependent mechanical properties of the axon during its growth CMES – Computer Modeling in Engineering and Sciences, 87(5):411-432

Graham BP, Lauchlan K, McLean DR (2006) Dynamics of outgrowth in a continuum model of neurite elongation. J Comput Neurosci 20:43-60 [Journal] [PubMed]

   Continuum model of tubulin-driven neurite elongation (Graham et al 2006) [Model]

Graham BP, van Ooyen A (2006) Mathematical modelling and numerical simulation of the morphological development of neurons. BMC Neurosci 7 Suppl 1:S9 [PubMed]

   Continuum model of tubulin-driven neurite elongation (Graham et al 2006) [Model]
   Compartmental models of growing neurites (Graham and van Ooyen 2004) [Model]

Hansen E,Henningsson E (2013) A convergence analysis of the Peaceman–Rachford scheme for semilinear evolution equations SIAM Journal on Numerical Analysis 51(4):1900-1910

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 Development, dynamics and pathology of neuronal networks: from molecules to functional circuits, Progress in Brain Research, van Pelt J: Kamermans M: Levelt C: van Ooyen A: Ramakers G: Roelfsema P, ed. pp.67

Mclean D, Graham B (2004) Mathematical formulation and analysis of a continuum model for tubulin-driven neurite elongation Proc Roy Soc Lond 460:2437-2456

Mclean D, van_Ooyen A, Graham B (2004) Continuum model for tubulin-driven neurite elongation Neurocomputing 58:511-516

McLean DR, Graham BP (2006) Stability in a mathematical model of neurite elongation. Math Med Biol 23:101-17 [Journal] [PubMed]

Miller KE, Heidemann SR (2008) What is slow axonal transport? Exp Cell Res 314:1981-90 [Journal] [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):28-41

Smith DA, Simmons RM (2001) Models of motor-assisted transport of intracellular particles. Biophys J 80:45-68 [PubMed]

Suter DM, Miller KE (2011) The emerging role of forces in axonal elongation. Prog Neurobiol 94:91-101 [Journal] [PubMed]

van Ooyen A (2011) Using theoretical models to analyse neural development. Nat Rev Neurosci 12:311-26 [PubMed]

Walker RA, O'Brien ET, Pryer NK, Soboeiro MF, Voter WA, Erickson HP, Salmon ED (1988) Dynamic instability of individual microtubules analyzed by video light microscopy: rate constants and transition frequencies. J Cell Biol 107:1437-48 [PubMed]

Zadeh KS, Shah SB (2010) Mathematical modeling and parameter estimation of axonal cargo transport. J Comput Neurosci 28:495-507 [Journal] [PubMed]

(18 refs)