{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T13:53:09Z","timestamp":1742997189159,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":71,"publisher":"Springer New York","isbn-type":[{"type":"electronic","value":"9781461473206"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-1-4614-7320-6_179-1","type":"book-chapter","created":{"date-parts":[[2014,9,18]],"date-time":"2014-09-18T21:55:22Z","timestamp":1411077322000},"page":"1-37","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Calcium Dynamics in Neuronal Microdomains: Modeling, Stochastic Simulations, and Data Analysis"],"prefix":"10.1007","author":[{"given":"C.","family":"Guerrier","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E.","family":"Korkotian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"Holcman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,8,12]]},"reference":[{"issue":"3-4","key":"179-1_CR1","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1088\/1478-3967\/1\/3\/001","volume":"1","author":"S Andrews","year":"2004","unstructured":"Andrews S, Bray D (2004) Stochastic simulation of chemical reactions with spatial resolution and single molecule detail. Phys Biol 1(3-4):137\u2013151","journal-title":"Phys Biol"},{"key":"179-1_CR2","doi-asserted-by":"publisher","first-page":"3659","DOI":"10.1016\/S0006-3495(03)74783-3","volume":"85","author":"L Batsilas","year":"2003","unstructured":"Batsilas L, Berezhkovskii AM, Shvartsman SY (2003) Stochastic model of autocrine and paracrine signals in cell culture assays. Biophys J 85:3659\u20133665","journal-title":"Biophys J"},{"issue":"2","key":"179-1_CR3","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1152\/physrev.2000.80.2.555","volume":"80","author":"F Benazilla","year":"2000","unstructured":"Benazilla F (2000) The voltage sensor in voltage-dependent ion channels. Physiol Rev 80(2):555\u2013592","journal-title":"Physiol Rev"},{"issue":"22","key":"179-1_CR4","doi-asserted-by":"publisher","first-page":"11390","DOI":"10.1063\/1.1814351","volume":"121","author":"AM Berezhkovskii","year":"2004","unstructured":"Berezhkovskii AM, Makhnovskii YA, Monine MI, Zitserman VY, Shvartsman SY (2004) Boundary homogenization for trapping by patchy surfaces. J Chem Phys 121(22):11390\u201311394","journal-title":"J Chem Phys"},{"issue":"2","key":"179-1_CR5","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/S0006-3495(77)85544-6","volume":"20","author":"HC Berg","year":"1977","unstructured":"Berg HC, Purcell EM (1977) Physics of chemoreception. Biophys J 20(2):193\u2013219","journal-title":"Biophys J"},{"issue":"2 Pt 1","key":"179-1_CR6","doi-asserted-by":"publisher","first-page":"021922","DOI":"10.1103\/PhysRevE.76.021922","volume":"76","author":"A Biess","year":"2007","unstructured":"Biess A, Korkotian E, Holcman D (2007) Diffusion in a dendritic spine: the role of geometry. Phys Rev E 76(2 Pt 1):021922","journal-title":"Phys Rev E"},{"issue":"10","key":"179-1_CR7","doi-asserted-by":"publisher","first-page":"e1002182","DOI":"10.1371\/journal.pcbi.1002182","volume":"7","author":"A Biess","year":"2011","unstructured":"Biess A, Korkotian E, Holcman D (2011) Barriers to diffusion on dendrites and estimation of calcium spread following synaptic inputs. PLoS Comput Biol 7(10):e1002182","journal-title":"PLoS Comput Biol"},{"issue":"6407","key":"179-1_CR8","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1038\/361031a0","volume":"361","author":"TVP Bliss","year":"1993","unstructured":"Bliss TVP, Collingridge GL (1993) A synaptic model of memory: long-term potentiation in the hippocampus. Nature 361(6407):31\u201339","journal-title":"Nature"},{"issue":"1","key":"179-1_CR9","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1083\/jcb.74.1.204","volume":"74","author":"F Blomberg","year":"1977","unstructured":"Blomberg F, Cohen RS, Siekevitz P (1977) The structure of postsynaptic densities isolated from dog cerebral cortex. II. Characterization and arrangement of some of the major proteins within the structure. J Cell Biol 74(1):204\u2013225","journal-title":"J Cell Biol"},{"key":"179-1_CR10","doi-asserted-by":"publisher","first-page":"1786","DOI":"10.1016\/j.bpj.2008.12.3889","volume":"96","author":"PC Bressloff","year":"2009","unstructured":"Bressloff PC, Earnshaw BA (2009) A dynamical corral model of protein trafficking in spines. Biophys J 96:1786\u20131802","journal-title":"Biophys J"},{"key":"179-1_CR11","volume-title":"Conduction of heat in solids","author":"HS Carslaw","year":"1959","unstructured":"Carslaw HS, Jaeger JC (1959) Conduction of heat in solids. Oxford University Press, New York"},{"issue":"3","key":"179-1_CR12","doi-asserted-by":"publisher","first-page":"836","DOI":"10.1137\/100782620","volume":"8","author":"AF Cheviakov","year":"2010","unstructured":"Cheviakov AF, Ward MJ, Straube R (2010) An asymptotic analysis of the mean first passage time for narrow escape problems: Part II: the sphere. Multiscale Model Simulat 8(3):836\u2013870","journal-title":"Multiscale Model Simulat"},{"issue":"7\u20138","key":"179-1_CR13","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1016\/0095-8522(49)90023-9","volume":"4","author":"FC Collins","year":"1949","unstructured":"Collins FC, Kimball GE (1949) Diffusion-controlled reaction rates. J Colloid Sci 4(7\u20138):425\u2013437","journal-title":"J Colloid Sci"},{"key":"179-1_CR14","volume-title":"The mathematics of diffusion","author":"J Crank","year":"1975","unstructured":"Crank J (1975) The mathematics of diffusion, 2nd edn. Oxford University Press, London","edition":"2"},{"key":"179-1_CR15","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/0166-2236(82)90020-0","volume":"5","author":"F Crick","year":"1982","unstructured":"Crick F (1982) Do dendritic spines twitch? Trends Neurosci 5:44\u201346","journal-title":"Trends Neurosci"},{"issue":"4 Pt 1","key":"179-1_CR16","doi-asserted-by":"publisher","first-page":"041107","DOI":"10.1103\/PhysRevE.81.041107","volume":"81","author":"K Dao Duc","year":"2010","unstructured":"Dao Duc K, Holcman D (2010) Threshold activation for stochastic chemical reactions in microdomains. Phys Rev E 81(4 Pt 1):041107","journal-title":"Phys Rev E"},{"key":"179-1_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/2046-1682-5-1","volume":"5","author":"K Dao Duc","year":"2012","unstructured":"Dao Duc K, Holcman D (2012) Using default constraints of the spindle assembly checkpoints to estimate the associate chemical rates. BMC Biophys 5:1","journal-title":"BMC Biophys"},{"key":"179-1_CR18","doi-asserted-by":"publisher","first-page":"1767","DOI":"10.1063\/1.468704","volume":"102","author":"RS Eisenberg","year":"1995","unstructured":"Eisenberg RS, Klosek MM, Schuss Z (1995) Diffusion as a chemical reaction: stochastic trajectories between fixed concentrations. J Chem Phys 102:1767\u20131780","journal-title":"J Chem Phys"},{"key":"179-1_CR19","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1088\/1478-3975\/4\/1\/003","volume":"4","author":"R Erban","year":"2007","unstructured":"Erban R, Chapman J (2007) Reactive boundary conditions for stochastic simulations of reaction diffusion processes. Phys Biol 4:16\u201328","journal-title":"Phys Biol"},{"issue":"5","key":"179-1_CR20","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1016\/S0896-6273(00)80467-5","volume":"20","author":"M Fischer","year":"1998","unstructured":"Fischer M, Kaech S, Knutti D, Matus A (1998) Rapid actin-based plasticity in dendritic spines. Neuron 20(5):847\u2013854","journal-title":"Neuron"},{"issue":"70","key":"179-1_CR21","doi-asserted-by":"publisher","first-page":"859","DOI":"10.1098\/rsif.2011.0574","volume":"9","author":"M Flegg","year":"2012","unstructured":"Flegg M, Chapman J, Erban R (2012) Two regime method for optimizing stochastic reaction-diffusion simulations. J R Soc Interface 9(70):859\u2013868","journal-title":"J R Soc Interface"},{"issue":"3","key":"179-1_CR22","doi-asserted-by":"publisher","first-page":"1224","DOI":"10.1137\/120882469","volume":"73","author":"B Franz","year":"2013","unstructured":"Franz B, Flegg M, Chapman J, Erban R (2013) Multiscale reaction-diffusion algorithms: PDE-assisted brownian dynamics. SIAM J Appl Math 73(3):1224\u20131247","journal-title":"SIAM J Appl Math"},{"issue":"2","key":"179-1_CR23","doi-asserted-by":"publisher","first-page":"021112","DOI":"10.1103\/PhysRevE.86.021112","volume":"86","author":"PK Ghosh","year":"2012","unstructured":"Ghosh PK, Hanggi P, Marchesoni F, Nori F, Schmid G (2012) Brownian transport in corrugated channels with inertia. Phys Rev E 86(2):021112","journal-title":"Phys Rev E"},{"issue":"4","key":"179-1_CR24","doi-asserted-by":"publisher","first-page":"807","DOI":"10.1016\/S0896-6273(03)00714-1","volume":"40","author":"JH Goldberg","year":"2003","unstructured":"Goldberg JH, Tamas G, Aronov D, Yuste R (2003) Calcium microdomains in aspiny dendrites. Neuron 40(4):807\u2013821","journal-title":"Neuron"},{"key":"179-1_CR25","unstructured":"Guerrier C, Holcman D (2014a) Activation of CaMKII in dendritic spines: a stochastic model (in preparation)"},{"key":"179-1_CR26","unstructured":"Guerrier C, Holcman D (2014b) The dire strait time for hidden targets (in preparation)"},{"key":"179-1_CR27","volume-title":"Ion channels of excitable membranes","author":"B Hille","year":"2001","unstructured":"Hille B (2001) Ion channels of excitable membranes, 3rd edn. Sinauer Associates, Massachusetts","edition":"3"},{"issue":"3","key":"179-1_CR28","doi-asserted-by":"publisher","first-page":"1006","DOI":"10.1137\/S003613990342894X","volume":"65","author":"D Holcman","year":"2004","unstructured":"Holcman D, Schuss Z (2004) Modeling calcium dynamics in dendritic spines. SIAM J Appl Math 65(3):1006\u20131026","journal-title":"SIAM J Appl Math"},{"key":"179-1_CR29","doi-asserted-by":"publisher","first-page":"114710","DOI":"10.1063\/1.1849155","volume":"122","author":"D Holcman","year":"2005","unstructured":"Holcman D, Schuss Z (2005) Stochastic chemical reactions in microdomains. J Chem Phys 122:114710","journal-title":"J Chem Phys"},{"key":"179-1_CR30","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1186\/2190-8567-1-10","volume":"1","author":"D Holcman","year":"2011","unstructured":"Holcman D, Schuss Z (2011) Diffusion laws in dendritic spines. J Math Neuroscience 1:10","journal-title":"J Math Neuroscience"},{"key":"179-1_CR31","first-page":"10","volume":"1","author":"D Holcman","year":"2012","unstructured":"Holcman D, Schuss Z (2012) Brownian motion in dire straits. SIAM J Multiscale Model Simulat 1:10","journal-title":"SIAM J Multiscale Model Simulat"},{"key":"179-1_CR32","doi-asserted-by":"crossref","unstructured":"Holcman D, Schuss Z (2013) Control of flux by narrow passages and hidden targets in cellular biology. Phys Progr Report 76(7) 074601","DOI":"10.1088\/0034-4885\/76\/7\/074601"},{"key":"179-1_CR33","doi-asserted-by":"crossref","unstructured":"Holcman D, Schuss Z (2014) The narrow escape problem. SIAM Rev 56(2): 213\u2013257","DOI":"10.1137\/120898395"},{"key":"179-1_CR35","doi-asserted-by":"crossref","unstructured":"Holcman D, Triller A (2006) Modeling synaptic dynamics driven by receptor lateral diffusion. Biophys J 91(7):2405\u20132415","DOI":"10.1529\/biophysj.106.081935"},{"key":"179-1_CR36","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1529\/biophysj.103.035972","volume":"87","author":"D Holcman","year":"2004","unstructured":"Holcman D, Schuss Z, Korkotian E (2004) Calcium dynamics in dendritic spines and spine motility. Biophys J 87:81\u201391","journal-title":"Biophys J"},{"issue":"3","key":"179-1_CR37","doi-asserted-by":"publisher","first-page":"031910","DOI":"10.1103\/PhysRevE.72.031910","volume":"72","author":"D Holcman","year":"2005","unstructured":"Holcman D, Marchewka A, Schuss Z (2005) The survival probability of diffusion with trapping in cellular biology. Phys Rev E, Stat Nonlin Soft Matter Phys 72(3):031910","journal-title":"Phys Rev E, Stat Nonlin Soft Matter Phys"},{"key":"179-1_CR38","doi-asserted-by":"publisher","first-page":"021906","DOI":"10.1103\/PhysRevE.84.021906","volume":"84","author":"D Holcman","year":"2011","unstructured":"Holcman D, Hoze N, Schuss Z (2011) Narrow escape through a funnel and effective diffusion on a crowded membrane. Phys Rev E 84:021906","journal-title":"Phys Rev E"},{"key":"179-1_CR39","unstructured":"Holcman D, Daoduc K, Burrage K (2014) Successful delivery of pten in the cytoplasm escaping from micrornas degradation (pre-print)"},{"issue":"7","key":"179-1_CR40","doi-asserted-by":"publisher","first-page":"988","DOI":"10.1038\/nn.3137","volume":"15","author":"N Holderith","year":"2013","unstructured":"Holderith N, Lorincz A, Katona G, R\u00f3zsa B, Kulik A, Masahoki W, Nusser Z (2013) Release probability of hippocampal glutamatergic terminals scales with the size of the active zone. Nat Neurosci 15(7):988\u2013997","journal-title":"Nat Neurosci"},{"key":"179-1_CR41","volume-title":"Biophysics of computation, information processing in single neurons","author":"C Koch","year":"1999","unstructured":"Koch C (1999) Biophysics of computation, information processing in single neurons. Oxford University Press, New York"},{"issue":"5","key":"179-1_CR42","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.tins.2011.02.006","volume":"34","author":"O Kochubey","year":"2011","unstructured":"Kochubey O, Lou X, Schneggenburger R (2011) Regulation of transmitter release by ca2+ and synaptotagmin: insight from large synapse. Trends Neuro 34(5):237\u201346","journal-title":"Trends Neuro"},{"issue":"5\u20136","key":"179-1_CR43","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1016\/j.ceca.2006.08.008","volume":"40","author":"E Korkotian","year":"2006","unstructured":"Korkotian E, Segal M (2006) Spatially confined diffusion of calcium in dendrites of hippocampal neurons revealed by flash photolysis of caged calcium. Cell Calcium 40(5\u20136):441\u2013449","journal-title":"Cell Calcium"},{"issue":"10","key":"179-1_CR44","doi-asserted-by":"publisher","first-page":"2649","DOI":"10.1111\/j.1460-9568.2004.03691.x","volume":"20","author":"E Korkotian","year":"2004","unstructured":"Korkotian E, Holcman D, Segal M (2004) Dynamic regulation of spine-dendrite coupling in cultured hippocampal neurons. Eur J Neuroscience 20(10):2649\u20132663","journal-title":"Eur J Neuroscience"},{"issue":"5","key":"179-1_CR45","doi-asserted-by":"publisher","first-page":"2713","DOI":"10.1063\/1.445002","volume":"78","author":"G Lamm","year":"1983","unstructured":"Lamm G, Schulten K (1983) Extended brownian dynamics. II. Reactive, nonlinear diffusion. J Chem Phys 78(5):2713\u20132734","journal-title":"J Chem Phys"},{"key":"179-1_CR46","volume-title":"Fluid mechanics","author":"LD Landau","year":"1975","unstructured":"Landau LD, Lifshitz EM (1975) Fluid mechanics. Pergamon Press, Elmsford"},{"issue":"7236","key":"179-1_CR47","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1038\/nature07842","volume":"458","author":"SR Lee","year":"2009","unstructured":"Lee SR, Escobedo-Lozoya J, Szatmari EM, Yasuda R (2009) Activation of CaMKII in single dendritic spines during long-term potentiation. Nature 458(7236):299","journal-title":"Nature"},{"issue":"3","key":"179-1_CR48","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1038\/nrn3192","volume":"13","author":"J Lisman","year":"2012","unstructured":"Lisman J, Yasuda R, Raghavachari S (2012) Mechanisms of CaMKII action in long-term potentiation. Nat Rev Neurosci 13(3):169\u2013182","journal-title":"Nat Rev Neurosci"},{"issue":"22","key":"179-1_CR49","doi-asserted-by":"crossref","first-page":"8262","DOI":"10.1523\/JNEUROSCI.20-22-08262.2000","volume":"20","author":"A Majewska","year":"2000","unstructured":"Majewska A, Tashiro A, Yuste R (2000) Regulation of spine calcium dynamics by rapid spine motility. J Neurosci 20(22):8262\u20138268","journal-title":"J Neurosci"},{"issue":"5435","key":"179-1_CR50","doi-asserted-by":"publisher","first-page":"1870","DOI":"10.1126\/science.285.5435.1870","volume":"285","author":"RC Malenka","year":"1999","unstructured":"Malenka RC, Nicoll RA (1999) Long-term potentiation\u2013a decade of progress? Science 285(5435):1870\u20131874","journal-title":"Science"},{"issue":"4","key":"179-1_CR51","doi-asserted-by":"publisher","first-page":"835","DOI":"10.1137\/0142058","volume":"42","author":"BJ Matkowsky","year":"1982","unstructured":"Matkowsky BJ, Schuss Z, Ben-Jacob E (1982) A singular perturbation approach to Kramers\u2019 diffusion problem. SIAM J Appl Math 42(4):835\u2013849","journal-title":"SIAM J Appl Math"},{"issue":"5","key":"179-1_CR52","doi-asserted-by":"publisher","first-page":"2691","DOI":"10.1016\/S0006-3495(04)74324-6","volume":"86","author":"V Matveev","year":"2004","unstructured":"Matveev V, Zucker RS, Sherman A (2004) Facilitation through buffer saturation: constraints on endogenous buffering properties. Biophys J 86(5):2691\u20132709","journal-title":"Biophys J"},{"issue":"7","key":"179-1_CR53","doi-asserted-by":"publisher","first-page":"074908","DOI":"10.1063\/1.2000236","volume":"123","author":"MI Monine","year":"2005","unstructured":"Monine MI, Haugh JM (2005) Reactions on cell membranes: comparison of continuum theory and Brownian dynamics simulations. J Chem Phys 123(7):074908","journal-title":"J Chem Phys"},{"issue":"5","key":"179-1_CR54","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1016\/j.neuron.2010.11.038","volume":"68","author":"E Neher","year":"2010","unstructured":"Neher E (2010) Complexin: does it deserve its name ? Neuron Prev 68(5):803\u2013806","journal-title":"Neuron Prev"},{"key":"179-1_CR55","first-page":"165","volume":"3","author":"LS Pontryagin","year":"1933","unstructured":"Pontryagin LS, Andronovn AA, Vitt AA (1933) On the statistical treatment of dynamical systems. J Theor Exper Phys (Russian) 3:165\u2013180","journal-title":"J Theor Exper Phys (Russian)"},{"key":"179-1_CR56","first-page":"329","volume":"1","author":"LS Pontryagin","year":"1989","unstructured":"Pontryagin LS, Andronov AA, Vitt AA (1989) On the statistical treatment of dynamical systems. Noise Nonlinear Dynamics 1:329\u2013340","journal-title":"Noise Nonlinear Dynamics"},{"issue":"3","key":"179-1_CR57","doi-asserted-by":"publisher","first-page":"876","DOI":"10.1016\/S0006-3495(95)80264-X","volume":"68","author":"B Roux","year":"1995","unstructured":"Roux B, Prod\u2019hom B, Karplus M (1995) Ion transport in the gramicidin channel: molecular dynamics study of single and double occupancy. Biophys J 68(3):876\u2013892","journal-title":"Biophys J"},{"issue":"3","key":"179-1_CR58","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1016\/S0959-4388(00)00218-X","volume":"11","author":"BL Sabatini","year":"2001","unstructured":"Sabatini BL, Maravall M, Svoboda K (2001) Ca2+ signalling in dendritic spines. Curr Opin Neurobiol 11(3):349\u2013356","journal-title":"Curr Opin Neurobiol"},{"issue":"3-4","key":"179-1_CR59","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/j.ceca.2012.04.011","volume":"52","author":"R Schneggenburger","year":"2012","unstructured":"Schneggenburger R, Han Y, Kochubey O (2012) Ca2+ channels and transmitter release at active zone. Cell Calcium 52(3-4):199\u2013207","journal-title":"Cell Calcium"},{"key":"179-1_CR60","series-title":"Wiley series in probability and statistics","volume-title":"Theory and applications of stochastic differential equations","author":"Z Schuss","year":"1980","unstructured":"Schuss Z (1980) Theory and applications of stochastic differential equations, Wiley series in probability and statistics. Wiley, New York"},{"key":"179-1_CR61","volume-title":"Diffusion and stochastic processes: an analytical approach","author":"Z Schuss","year":"2010","unstructured":"Schuss Z (2010a) Diffusion and stochastic processes: an analytical approach. Springer, New York"},{"key":"179-1_CR62","series-title":"Springer series on applied mathematical sciences","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-1605-1","volume-title":"Theory and applications of stochastic processes, an analytical approach","author":"Z Schuss","year":"2010","unstructured":"Schuss Z (2010b) Theory and applications of stochastic processes, an analytical approach, vol 170, Springer series on applied mathematical sciences. Springer, New York"},{"key":"179-1_CR63","doi-asserted-by":"crossref","unstructured":"Schuss Z, Holcman D (2013) The narrow escape problem and its applications in cellular and molecular biology. SIAM Rev, SIREV","DOI":"10.1137\/120898395"},{"key":"179-1_CR34","doi-asserted-by":"crossref","unstructured":"Schuss Z, Holcman D (2014) Time scales of Diffusion for Molecular and Cellular processes, J.Phys A: Mathematical and Theoretical 47(17), 173001","DOI":"10.1088\/1751-8113\/47\/17\/173001"},{"issue":"41","key":"179-1_CR64","doi-asserted-by":"publisher","first-page":"16098","DOI":"10.1073\/pnas.0706599104","volume":"104","author":"Z Schuss","year":"2007","unstructured":"Schuss Z, Singer A, Holcman D (2007) The narrow escape problem for diffusion in cellular microdomains. Proc Natl Acad Sci USA 104(41):16098\u201316103","journal-title":"Proc Natl Acad Sci USA"},{"key":"179-1_CR65","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1137\/060663477","volume":"68","author":"A Singer","year":"2008","unstructured":"Singer A, Schuss Z, Osipov A, Holcman D (2008) Partially reflected diffusion. SIAM J Appl Math 68:98\u2013108","journal-title":"SIAM J Appl Math"},{"issue":"5262","key":"179-1_CR66","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1126\/science.272.5262.716","volume":"272","author":"K Svoboda","year":"1996","unstructured":"Svoboda K, Tank DW, Denk W (1996) Direct measurement of coupling between dendritic spines and shafts. Science 272(5262):716\u2013719","journal-title":"Science"},{"key":"179-1_CR67","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1016\/j.bpj.2011.05.032","volume":"101","author":"A Taflia","year":"2011","unstructured":"Taflia A, Holcman D (2011) Estimating the synaptic current in a multiconductance ampa receptor model. Biophys J 101:781\u2013792","journal-title":"Biophys J"},{"issue":"4","key":"179-1_CR68","doi-asserted-by":"publisher","first-page":"2234","DOI":"10.1016\/S0006-3495(03)75029-2","volume":"84","author":"K Tai","year":"2003","unstructured":"Tai K, Bond SD, MacMillan HR, Baker NA, Holst MJ, McCammon JA (2003) Finite element simulations of acetylcholine diffusion in neuromuscular junctions. Biophys J 84(4):2234\u20132241","journal-title":"Biophys J"},{"issue":"1","key":"179-1_CR69","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/0928-4257(93)90021-K","volume":"87","author":"RS Zucker","year":"1993","unstructured":"Zucker RS (1993) Calcium and transmitter release. J Physiol Paris 87(1):25\u201336","journal-title":"J Physiol Paris"},{"key":"179-1_CR70","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1146\/annurev.physiol.64.092501.114547","volume":"64","author":"RS Zucker","year":"2002","unstructured":"Zucker RS, Regehr WG (2002) Short-term synaptic plasticity. Annu Rev Physiol 64:355\u2013405","journal-title":"Annu Rev Physiol"},{"key":"179-1_CR71","doi-asserted-by":"publisher","first-page":"5856","DOI":"10.1073\/pnas.87.15.5856","volume":"87","author":"R Zwanzig","year":"1990","unstructured":"Zwanzig R (1990) Diffusion-controlled ligand binding to spheres partially covered by receptors: an effective medium treatment. Proc Natl Acad Sci U S A 87:5856\u20135857","journal-title":"Proc Natl Acad Sci U S A"}],"container-title":["Encyclopedia of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4614-7320-6_179-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T03:04:11Z","timestamp":1675825451000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4614-7320-6_179-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9781461473206"],"references-count":71,"URL":"https:\/\/doi.org\/10.1007\/978-1-4614-7320-6_179-1","relation":{},"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"5 March 2014, 14:45:36","order":1,"name":"received","label":"Received","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"5 March 2014, 14:45:36","order":2,"name":"accepted","label":"Accepted","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"12 August 2014","order":3,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}