References and models cited by this paper

References and models that cite this paper

Bloodgood BL, Sabatini BL (2005) Neuronal activity regulates diffusion across the neck of dendritic spines. Science 310:866-9 [Journal] [PubMed]

Crank J (1975) The Mathematics of Diffusion (2nd edn)

Goldberg JH, Tamas G, Aronov D, Yuste R (2003) Calcium microdomains in aspiny dendrites. Neuron 40:807-21 [PubMed]

Guthrie PB, Segal M, Kater SB (1991) Independent regulation of calcium revealed by imaging dendritic spines. Nature 354:76-80 [Journal] [PubMed]

Holcman D, Marchewka A, Schuss Z (2005) Survival probability of diffusion with trapping in cellular neurobiology. Phys Rev E Stat Nonlin Soft Matter Phys 72:031910 [Journal] [PubMed]

Holcman D, Schuss Z, Korkotian E (2004) Calcium dynamics in dendritic spines and spine motility. Biophys J 87:81-91 [Journal] [PubMed]

Karlin S, Taylor HM (1982) Asecond course in stochasticprocesses.

Koch C, Poggio T (1983) A theoretical analysis of electrical properties of spines. Proc R Soc Lond B Biol Sci 218:455-77 [Journal] [PubMed]

Koch C, Zador A, Brown TH (1992) Dendritic spines: convergence of theory and experiment. Science 256:973-4 [PubMed]

Korkotian E, Holcman D, Segal M (2004) Dynamic regulation of spine-dendrite coupling in cultured hippocampal neurons. Eur J Neurosci 20:2649-63 [Journal] [PubMed]

Matsuzaki M, Honkura N, Ellis-Davies GC, Kasai H (2004) Structural basis of long-term potentiation in single dendritic spines. Nature 429:761-6 [Journal] [PubMed]

Rall W (1978) Dendritic spines and synaptic potency. Studies in Neurophysiology., Porter R, ed. pp.203

Segev I, Rall W (1988) Computational study of an excitable dendritic spine. J Neurophysiol 60:499-523 [Journal] [PubMed]

Singer A, Et_al (2006) J Stat Phys 122:437

Singer A, Et_al (2006) J Stat Phys 122:465

Svoboda K, Tank DW, Denk W (1996) Direct measurement of coupling between dendritic spines and shafts. Science 272:716-9 [PubMed]

Wickens J (1988) Electrically coupled but chemically isolated synapses: dendritic spines and calcium in a rule for synaptic modification. Prog Neurobiol 31:507-28 [PubMed]

Wilson CJ (1984) Passive cable properties of dendritic spines and spiny neurons. J Neurosci 4:281-97 [PubMed]

Yuste R, Denk W (1995) Dendritic spines as basic functional units of neuronal integration. Nature 375:682-4 [Journal] [PubMed]

Grunditz A, Holbro N, Tian L, Zuo Y, Oertner TG (2008) Spine neck plasticity controls postsynaptic calcium signals through electrical compartmentalization. J Neurosci 28:13457-66 [Journal] [PubMed]