275
Mathematical Modeling of Brain Circuitry
Impulse Response
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Time (s) (sec)
–0.2
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0.2
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1.2
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Impulse response
Histogram
Spike Response
FIGURE 14.9
Ho-Kalman impulse response model reproducing cuneate histogram spike-response data.
References
Apps, R. and Garwicz, M. 2005. Anatomical and physiological foundations of cerebellar information processing. Nature Reviews Neuroscience, 6: 297–311.
Bengtsson, F. and Jörntell, H. 2009. Sensory transmission in cerebellar granule cells
relies on similarly coded mossy fiber inputs. Proceedings of the National Academy
of Sciences USA, 106: 2389–2394.
Ekerot, C.F. and Jörntell, H. 2001. Parallel fibre receptive fields of Purkinje cells and
interneurons are climbing fibre-specific. European Journal of Neuroscience, 13:
1303–1310.
Ekerot, C.F. and Jörntell, H. 2003. Parallel fiber receptive fields: A key to understanding cerebellar operation and learning. Cerebellum, 2: 101–109.
Ferrington, D.G., Rowe, M.J., and Tarvin, R.P. 1987. Actions of single sensory fibres on
cat dorsal column nuclei neurones: vibratory signalling in a one-to-one linkage.
Journal of Physiology, 386: 293–309.
Fujita, M. 1982. Adaptive filter model of the cerebellum. Biological Cybernetics, 45:
195–206.
Ito, M. 1972. Neural design of the cerebellar motor control system. Brain Research, 40:
81–84.
Ito, M. 2008. Control of mental activities by internal models in the cerebellum. Nature
Reviews Neuroscience, 9: 304–313.
Mathematical Modeling of Brain Circuitry
Impulse Response
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Time (s) (sec)
–0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
Impulse response
Histogram
Spike Response
FIGURE 14.9
Ho-Kalman impulse response model reproducing cuneate histogram spike-response data.
References
Apps, R. and Garwicz, M. 2005. Anatomical and physiological foundations of cerebellar information processing. Nature Reviews Neuroscience, 6: 297–311.
Bengtsson, F. and Jörntell, H. 2009. Sensory transmission in cerebellar granule cells
relies on similarly coded mossy fiber inputs. Proceedings of the National Academy
of Sciences USA, 106: 2389–2394.
Ekerot, C.F. and Jörntell, H. 2001. Parallel fibre receptive fields of Purkinje cells and
interneurons are climbing fibre-specific. European Journal of Neuroscience, 13:
1303–1310.
Ekerot, C.F. and Jörntell, H. 2003. Parallel fiber receptive fields: A key to understanding cerebellar operation and learning. Cerebellum, 2: 101–109.
Ferrington, D.G., Rowe, M.J., and Tarvin, R.P. 1987. Actions of single sensory fibres on
cat dorsal column nuclei neurones: vibratory signalling in a one-to-one linkage.
Journal of Physiology, 386: 293–309.
Fujita, M. 1982. Adaptive filter model of the cerebellum. Biological Cybernetics, 45:
195–206.
Ito, M. 1972. Neural design of the cerebellar motor control system. Brain Research, 40:
81–84.
Ito, M. 2008. Control of mental activities by internal models in the cerebellum. Nature
Reviews Neuroscience, 9: 304–313.