메뉴 건너뛰기




Volumn 34, Issue 1, 2013, Pages 1-26

Structure-preserving model reduction of passive and quasi-active neurons

Author keywords

Dendritic computation; Krylov methods; Model reduction; Passive model; Quasi active model; Volterra series

Indexed keywords

BIOELECTRIC POTENTIALS; ELECTROPHYSIOLOGY; RESONANT CIRCUITS;

EID: 84873411940     PISSN: 09295313     EISSN: 15736873     Source Type: Journal    
DOI: 10.1007/s10827-012-0403-y     Document Type: Article
Times cited : (4)

References (37)
  • 1
    • 33646160611 scopus 로고    scopus 로고
    • A projection method for model reduction of bilinear dynamical systems
    • Bai, Z., & Skoogh, D. (2006). A projection method for model reduction of bilinear dynamical systems. Linear Algebra and its Applications, 415, 406-425.
    • (2006) Linear Algebra and its Applications , vol.415 , pp. 406-425
    • Bai, Z.1    Skoogh, D.2
  • 3
    • 0027405276 scopus 로고
    • Reduced compartmental models of neocortical pyramidal cells
    • Bush, P., & Sejnowski, T. (1993). Reduced compartmental models of neocortical pyramidal cells. Journal of Neuroscience Methods, 46, 159-166.
    • (1993) Journal of Neuroscience Methods , vol.46 , pp. 159-166
    • Bush, P.1    Sejnowski, T.2
  • 4
    • 0003043451 scopus 로고    scopus 로고
    • Kinetic models of synaptic transmission
    • In C. Koch, & I. Segev (Eds.) (Chapter 1,). Cambridge: MIT Press
    • Destexhe, A., Mainen, Z., & Sejnowski, T. (1998). Kinetic models of synaptic transmission. In C. Koch, & I. Segev (Eds.), Methods in neuronal modeling (Chapter 1, pp. 1-25). Cambridge: MIT Press.
    • (1998) Methods in Neuronal Modeling , pp. 1-25
    • Destexhe, A.1    Mainen, Z.2    Sejnowski, T.3
  • 5
    • 0034322885 scopus 로고    scopus 로고
    • Krylov-subspace methods for reduced-order modeling in circuit simulation
    • Freund, R. (2000). Krylov-subspace methods for reduced-order modeling in circuit simulation. Journal of Computational and Applied Mathematics, 123, 395-421.
    • (2000) Journal of Computational and Applied Mathematics , vol.123 , pp. 395-421
    • Freund, R.1
  • 6
    • 79953242258 scopus 로고    scopus 로고
    • The SPRIM algorithm for structurepreserving order reduction of general RCL circuits
    • In P. Benner, M. Hinze, & E. ter Maten (Eds.). New York: Springer
    • Freund, R. (2011). The SPRIM algorithm for structurepreserving order reduction of general RCL circuits. In P. Benner, M. Hinze, & E. ter Maten (Eds.), Model reduction for circuit simulation (pp. 25-52). New York: Springer.
    • (2011) Model Reduction for Circuit Simulation , pp. 25-52
    • Freund, R.1
  • 8
    • 0035211539 scopus 로고    scopus 로고
    • Dichotomy of action-potential backpropagation in CA1 pyramidal neuron dendrites
    • Golding, N., Kath, W., & Spruston, N. (2001). Dichotomy of action-potential backpropagation in CA1 pyramidal neuron dendrites. Journal of Neurophysiology, 86, 2998-3010.
    • (2001) Journal of Neurophysiology , vol.86 , pp. 2998-3010
    • Golding, N.1    Kath, W.2    Spruston, N.3
  • 9
    • 0004067099 scopus 로고    scopus 로고
    • PhD thesis, University of Illinois at Urbana-Champaign, Urbana, Illinois
    • Grimme, E. (1997). Krylov projection methods for model reduction. PhD thesis, University of Illinois at Urbana-Champaign, Urbana, Illinois.
    • (1997) Krylov Projection Methods for Model Reduction.
    • Grimme, E.1
  • 10
    • 80052075715 scopus 로고    scopus 로고
    • QLMOR: A projection-based nonlinear model order reduction approach using quadratic-linear representation of nonlinear systems
    • Gu, C. (2011). QLMOR: A projection-based nonlinear model order reduction approach using quadratic-linear representation of nonlinear systems. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 30, 1307-1320.
    • (2011) IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems , vol.30 , pp. 1307-1320
    • Gu, C.1
  • 12
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin, A., & Huxley, A. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. Journal of Physiology, 117, 500-544.
    • (1952) Journal of Physiology , vol.117 , pp. 500-544
    • Hodgkin, A.1    Huxley, A.2
  • 13
    • 28044434108 scopus 로고    scopus 로고
    • Conditional dendritic spike propagation following distal synaptic activation of hippocampal CA1 pyramidal neurons
    • Jarsky, T., Roxin, A., Kath, W., & Spruston, N. (2005). Conditional dendritic spike propagation following distal synaptic activation of hippocampal CA1 pyramidal neurons. Nature Neuroscience, 8, 1667-1676.
    • (2005) Nature Neuroscience , vol.8 , pp. 1667-1676
    • Jarsky, T.1    Roxin, A.2    Kath, W.3    Spruston, N.4
  • 14
    • 0000399224 scopus 로고    scopus 로고
    • Hippocampus
    • In G. Shepherd (Ed.) (Chapter 10). New York: Oxford University Press
    • Johnston, D., & Amaral, D. (1998). Hippocampus. In G. Shepherd (Ed.), The synaptic organization of the brain (Chapter 10, pp. 417-458). New York: Oxford University Press.
    • (1998) The Synaptic Organization of the Brain , pp. 417-458
    • Johnston, D.1    Amaral, D.2
  • 16
    • 69549097807 scopus 로고    scopus 로고
    • Lowdimensional, morphologically accurate models of subthreshold membrane potential
    • Kellems, A., Roos, D., Xiao, N., & Cox, S. (2009). Lowdimensional, morphologically accurate models of subthreshold membrane potential. Journal of Computational Neuroscience, 27, 161-176.
    • (2009) Journal of Computational Neuroscience , vol.27 , pp. 161-176
    • Kellems, A.1    Roos, D.2    Xiao, N.3    Cox, S.4
  • 18
    • 15544373017 scopus 로고    scopus 로고
    • Spatial distribution of inputs and local receptive field properties of a wide-field, looming sensitive neuron
    • Krapp, H., & Gabbiani, F. (2005). Spatial distribution of inputs and local receptive field properties of a wide-field, looming sensitive neuron. Journal of Neurophyiology, 93, 2240-2253.
    • (2005) Journal of Neurophyiology , vol.93 , pp. 2240-2253
    • Krapp, H.1    Gabbiani, F.2
  • 20
    • 34547792690 scopus 로고    scopus 로고
    • Structure-preserving model reduction using a Krylov subspace projection formulation
    • Li, R., & Bai, Z. (2005). Structure-preserving model reduction using a Krylov subspace projection formulation. Communications in Mathematical Sciences, 3, 179-199.
    • (2005) Communications in Mathematical Sciences , vol.3 , pp. 179-199
    • Li, R.1    Bai, Z.2
  • 21
    • 68749119672 scopus 로고    scopus 로고
    • Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces
    • Lin, Y., Bao, L., & Wei, Y. (2009). Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces. Computers and Mathematics with Applications, 58, 1093-1102.
    • (2009) Computers and Mathematics with Applications , vol.58 , pp. 1093-1102
    • Lin, Y.1    Bao, L.2    Wei, Y.3
  • 24
    • 0017008695 scopus 로고
    • The neuronal basis of a sensory analyser, the acridid movement detector sysem. II. Response decrement, convergence, and the nature of excitatory afferents to the fan-like dendrites of the LGMD
    • O'Shea, M., & Rowell, C. (1976). The neuronal basis of a sensory analyser, the acridid movement detector sysem. II. Response decrement, convergence, and the nature of excitatory afferents to the fan-like dendrites of the LGMD. Journal of Experimental Biology, 65, 289-308.
    • (1976) Journal of Experimental Biology , vol.65 , pp. 289-308
    • O'Shea, M.1    Rowell, C.2
  • 25
    • 0033701356 scopus 로고    scopus 로고
    • Projection frameworks for model reduction of weakly nonlinear systems
    • Phillips, J. (2000). Projection frameworks for model reduction of weakly nonlinear systems. In Proceedings of DAC 2000 (pp. 184-189).
    • (2000) Proceedings of DAC , vol.2000 , pp. 184-189
    • Phillips, J.1
  • 26
  • 27
    • 0028457466 scopus 로고
    • Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons
    • Pinsky, P., & Rinzel, J. (1994). Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. Journal of Computational Neuroscience, 1, 39-60.
    • (1994) Journal of Computational Neuroscience , vol.1 , pp. 39-60
    • Pinsky, P.1    Rinzel, J.2
  • 28
    • 0025984269 scopus 로고
    • A generalized tapering equivalent cable model for dendritic neurons
    • Poznanski, R. (1991). A generalized tapering equivalent cable model for dendritic neurons. Bulletin of Mathematical Biology, 53, 457-467.
    • (1991) Bulletin of Mathematical Biology , vol.53 , pp. 457-467
    • Poznanski, R.1
  • 29
    • 0000208310 scopus 로고
    • Branching dendritic trees andmotoneuron membrane resistivity
    • Rall, W. (1959). Branching dendritic trees andmotoneuron membrane resistivity. Experimental Neurology, 1, 491-527.
    • (1959) Experimental Neurology , vol.1 , pp. 491-527
    • Rall, W.1
  • 31
    • 0003553624 scopus 로고
    • Baltimore: Johns Hopkins University Press
    • Rugh, W. (1981). Nonlinear system theory. Baltimore: Johns Hopkins University Press.
    • (1981) Nonlinear System Theory.
    • Rugh, W.1
  • 32
    • 84873410606 scopus 로고
    • A non-uniform equivalent cable model of membrane voltage changes in a passive dendritic tree
    • Schierwagen, A. (1989). A non-uniform equivalent cable model of membrane voltage changes in a passive dendritic tree. Frontiers in Neuroscience, 1, 19-42.
    • (1989) Frontiers in Neuroscience , vol.1 , pp. 19-42
    • Schierwagen, A.1
  • 33
    • 39449125245 scopus 로고    scopus 로고
    • Pyramidal neurons: Dendritic structure and synaptic integration
    • Spruston, N. (2008). Pyramidal neurons: Dendritic structure and synaptic integration. Nature Reviews Neuroscience, 9, 206-221.
    • (2008) Nature Reviews Neuroscience , vol.9 , pp. 206-221
    • Spruston, N.1
  • 34
    • 0025781361 scopus 로고
    • A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances
    • Traub, R., Wong, K., Miles, R., & Michelson, H. (1991). A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. Journal of Neurophysiology, 66, 635-650.
    • (1991) Journal of Neurophysiology , vol.66 , pp. 635-650
    • Traub, R.1    Wong, K.2    Miles, R.3    Michelson, H.4
  • 37
    • 83055177062 scopus 로고    scopus 로고
    • Reduced order modeling of passive and quasi-active dendrites for nervous system simulation
    • Yan, B., & Li, P. (2011). Reduced order modeling of passive and quasi-active dendrites for nervous system simulation. Journal of Computational Neuroscience, 31, 247-271.
    • (2011) Journal of Computational Neuroscience , vol.31 , pp. 247-271
    • Yan, B.1    Li, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.