Phase Resetting in Medicine and Biology: Stochastic Modelling and Data AnalysisSpringer Science & Business Media, 2007/01/15 - 329 ページ Synchronization processes are of great interest and importance in biology, medicine and physics. In particular, for the comprehension of brain function ing it appears inevitable that one should analyze neuronal synchronization processes. This book presents a new understanding of how a stimulus in fluences synchronization patterns of a population of oscillators. On the one hand, a variety of stimulation-induced dynamical phenomena will be pre sented; on the other hand, new data analysis tools will be developed which will serve as a link between theory and experiment. In this way it will be possible to use the theory presented here as a basis for the design and evalu and ation of stimulation experiments and stimulation techniques in medicine biology. We shall focus particularly on applications concerning the analysis of magnetoencephalography (MEG) and electroencephalography (EEG) data as well as deep brain stimulation techniques used in Parkinsonian patients. This book addresses graduate students, professors and scientists in vari ous fields including biology, mathematics, medicine, neuroscience, physiology and physics. Besides mathematically involved parts, the book also provides the reader with numerous illustrations and explications of the deep dynamical principles governing stimulation-induced desynchronization and synchroniza tion processes. Therefore this book will be of interest to a general readership, and those who are not familiar with mathematics should not be deterred by the formulas. |
目次
1 | |
Synchronization Patterns | 55 |
Stochastic Model 99 | 98 |
Clustering in the Presence of Noise | 107 |
Single Pulse Stimulation | 145 |
Periodic Stimulation 203 | 202 |
Data Analysis | 219 |
Modelling Perspectives 257 | 256 |
Neurological Perspectives | 265 |
Epilogue | 275 |
A Numerical Analysis of the Partial Differential Equations | 285 |
SingleMode Instability | 291 |
TwoMode Instability | 293 |
321 | |
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多く使われている語句
according activity amplitude analysis applied approach appropriate areas average behavior brain burst causes center manifold Chap cluster cluster phase cluster variables compared complex condition configuration consequence consider constant corresponding coupling course critical delay denotes density depends derived desynchronization determined distribution duration dynamics effect epochs equally equation example excitation firing fixed points Fourier modes frequency given Haken hand Hence higher order illustrated impact important increasing indicated initial instability instance intensity interactions introduce latter limit cycle lines means method modes neuronal noise observed obtains occurs order parameters oscillators partial desynchronization particular patterns performed periodic phase phase difference phase oscillators plot population potential presented processes pulse reason respectively response Sect shifts shown shows signals single stimulation induced stimulus locked synchronization take into account Tass tion transformed transient tremor values vanishes wave whereas