Bursting :: the genesis of rhythm in the nervous system /
Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during nor...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ :
World Scientific Pub.,
©2005.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field. |
| Beschreibung: | 1 online resource (xvi, 401 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9812703233 9789812703231 981256506X 9789812565068 1281899208 9781281899200 9786611899202 6611899200 |
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| 245 | 0 | 0 | |a Bursting : |b the genesis of rhythm in the nervous system / |c editors, Stephen Coombes, Paul C. Bressloff. |
| 260 | |a Hackensack, NJ : |b World Scientific Pub., |c ©2005. | ||
| 300 | |a 1 online resource (xvi, 401 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover -- PREFACE -- CONTENTS -- PART I: BURSTING AT THE SINGLE CELL LEVEL -- CHAPTER 1 THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING -- 1.1. Introduction -- 1.2. Tail Current Reversal -- 1.3. The 1982 Model -- 1.4. The 1984 Model -- 1.5. Subthreshold Oscillations -- 1.6. A Bifurcation Theorem -- References -- CHAPTER 2 NEGATIVE CALCIUM FEEDBACK: THE ROAD FROM CHAY-KEIZER -- 2.1. Introduction -- 2.2. Before the Beginning -- 2.3. The Beginning -- 2.4. The Demise of K(Ca) -- 2.5. The Return of K(Ca): Help from the Endoplasmic Reticulum -- 2.6. Further Modifications to the Model -- 2.7. Discussion -- Acknowledgements -- References -- CHAPTER 3 AUTOREGULATION OF BURSTING OF AVP NEURONS OF THE RAT HYPOTHALAMUS -- 3.1. Introduction -- 3.2. Electrical Properties of AVP Cells -- 3.3. Mathematical Model -- 3.4. Firing Patterns -- 3.5. Burst Structure -- 3.6. The Role of Calcium -- 3.7. The Action of Dynorphin -- 3.8. The Bursting Mechanism -- 3.9. The Dynamics of Dynorphin -- 3.10. Analysis of Bursting -- 3.11. Discussion -- Acknowledgements -- References -- CHAPTER 4 BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING -- 4.1. Introduction -- 4.2. A TWO Dimensional Model of Spiking Sodium Currents -- 4.3. Fast-Slow Analysis of Bursting -- 4.4. Discussion -- References -- CHAPTER 5 BURSTING IN 2-COMPARTMENT NEURONS: A CASE STUDY OF THE PINSKY-RINZEL MODEL -- 5.1. Introduction -- 5.2. The Pinsky-Rinzel Model -- 5.3. Dynamics of the Pinsky-Rinzel Model -- 5.4. Morris-Lecar Two-Compartment Models -- 5.5. Discussion -- Acknowledgments -- References -- CHAPTER 6 GHOSTBURSTING: THE ROLE OF ACTIVE DENDRITES IN ELECTROSENSORY PROCESSING -- 6.1. Introduction -- 6.2. Bursting Mechanism -- 6.3. Ghostburster Dynamics -- 6.4. Unique Features -- 6.5. Extensions and Other Work -- 6.6. Parallel Processing with Bursts and Isolated Spikes -- 6.7. Summary -- Acknowledgements -- References -- PART II: BURSTING AT THE NETWORK LEVEL -- CHAPTER 7 ANALYSIS OF CIRCUITS CONTAINING BURSTING NEURONS USING PHASE RESETTING CURVES -- 7.1. Introduction -- 7.2. Stability Analysis for Two Coupled Oscillators -- 7.3. Analysis of a Circuit of Two Model Neurons -- 7.4. Stability Analysis for a Three Neuron Ring Circuit -- 7.5. Analysis of a Circuit of Three Model Neurons -- 7.6. Analysis of a Two Neuron Hybrid Circuit -- 7.7. Effect of Changing Burst Durations in the Two Neuron Circuit -- 7.8. Phenomenology of Resetting in a Biological Bursting Neuron -- 7.9. Significance -- Acknowledgments -- References -- CHAPTER 8 BURSTING IN COUPLED CELL SYSTEMS -- 8.1. Introduction -- 8.2. Unfolding Theory and Bursting in Fast-Slow Systems -- 8.3. Bursting in Two Coupled Cells -- 8.4. Za-Equivariant Bifurcations -- 8.5. Pitchfork Bifurcation -- 8.6. Hopf / Hopf Mode Interactions -- 8.7. Takens-Bogdanov Bifurcation with 22 Symmetry -- 8.8. Conclusion -- Acknowledgments -- References -- CHAPTER 9 MODULATORY EFFECTS OF COUPLING ON BURSTING MAPS -- 9.1. Introduction -- 9.2. Examples of Bursting Maps -- 9.3. Effects of Coupling -- 9.4. Rulkov's First Bursting Map: Explaining the Effect of Coupling -- 9.5. Discussion -- Acknowledgments -- References -- CHAPTER 10 BEYOND SYNCHRONIZATION: MODULAT. | |
| 520 | |a Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Neural transmission. |0 http://id.loc.gov/authorities/subjects/sh85091095 | |
| 650 | 0 | |a Sensory neurons. |0 http://id.loc.gov/authorities/subjects/sh94009744 | |
| 650 | 1 | 2 | |a Synaptic Transmission |x physiology |
| 650 | 2 | |a Synaptic Transmission |0 https://id.nlm.nih.gov/mesh/D009435 | |
| 650 | 2 | 2 | |a Neurons, Afferent |x physiology |
| 650 | 6 | |a Transmission nerveuse. | |
| 650 | 6 | |a Neurones sensitifs. | |
| 650 | 7 | |a MEDICAL |x Neuroscience. |2 bisacsh | |
| 650 | 7 | |a PSYCHOLOGY |x Neuropsychology. |2 bisacsh | |
| 650 | 7 | |a Neural transmission |2 fast | |
| 650 | 7 | |a Sensory neurons |2 fast | |
| 700 | 1 | |a Coombes, Stephen. | |
| 700 | 1 | |a Bressloff, Paul C. | |
| 776 | 0 | 8 | |i Print version: |t Bursting. |d Hackensack, NJ : World Scientific Pub., ©2005 |w (DLC) 2005051845 |
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| contents | Cover -- PREFACE -- CONTENTS -- PART I: BURSTING AT THE SINGLE CELL LEVEL -- CHAPTER 1 THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING -- 1.1. Introduction -- 1.2. Tail Current Reversal -- 1.3. The 1982 Model -- 1.4. The 1984 Model -- 1.5. Subthreshold Oscillations -- 1.6. A Bifurcation Theorem -- References -- CHAPTER 2 NEGATIVE CALCIUM FEEDBACK: THE ROAD FROM CHAY-KEIZER -- 2.1. Introduction -- 2.2. Before the Beginning -- 2.3. The Beginning -- 2.4. The Demise of K(Ca) -- 2.5. The Return of K(Ca): Help from the Endoplasmic Reticulum -- 2.6. Further Modifications to the Model -- 2.7. Discussion -- Acknowledgements -- References -- CHAPTER 3 AUTOREGULATION OF BURSTING OF AVP NEURONS OF THE RAT HYPOTHALAMUS -- 3.1. Introduction -- 3.2. Electrical Properties of AVP Cells -- 3.3. Mathematical Model -- 3.4. Firing Patterns -- 3.5. Burst Structure -- 3.6. The Role of Calcium -- 3.7. The Action of Dynorphin -- 3.8. The Bursting Mechanism -- 3.9. The Dynamics of Dynorphin -- 3.10. Analysis of Bursting -- 3.11. Discussion -- Acknowledgements -- References -- CHAPTER 4 BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING -- 4.1. Introduction -- 4.2. A TWO Dimensional Model of Spiking Sodium Currents -- 4.3. Fast-Slow Analysis of Bursting -- 4.4. Discussion -- References -- CHAPTER 5 BURSTING IN 2-COMPARTMENT NEURONS: A CASE STUDY OF THE PINSKY-RINZEL MODEL -- 5.1. Introduction -- 5.2. The Pinsky-Rinzel Model -- 5.3. Dynamics of the Pinsky-Rinzel Model -- 5.4. Morris-Lecar Two-Compartment Models -- 5.5. Discussion -- Acknowledgments -- References -- CHAPTER 6 GHOSTBURSTING: THE ROLE OF ACTIVE DENDRITES IN ELECTROSENSORY PROCESSING -- 6.1. Introduction -- 6.2. Bursting Mechanism -- 6.3. Ghostburster Dynamics -- 6.4. Unique Features -- 6.5. Extensions and Other Work -- 6.6. Parallel Processing with Bursts and Isolated Spikes -- 6.7. Summary -- Acknowledgements -- References -- PART II: BURSTING AT THE NETWORK LEVEL -- CHAPTER 7 ANALYSIS OF CIRCUITS CONTAINING BURSTING NEURONS USING PHASE RESETTING CURVES -- 7.1. Introduction -- 7.2. Stability Analysis for Two Coupled Oscillators -- 7.3. Analysis of a Circuit of Two Model Neurons -- 7.4. Stability Analysis for a Three Neuron Ring Circuit -- 7.5. Analysis of a Circuit of Three Model Neurons -- 7.6. Analysis of a Two Neuron Hybrid Circuit -- 7.7. Effect of Changing Burst Durations in the Two Neuron Circuit -- 7.8. Phenomenology of Resetting in a Biological Bursting Neuron -- 7.9. Significance -- Acknowledgments -- References -- CHAPTER 8 BURSTING IN COUPLED CELL SYSTEMS -- 8.1. Introduction -- 8.2. Unfolding Theory and Bursting in Fast-Slow Systems -- 8.3. Bursting in Two Coupled Cells -- 8.4. Za-Equivariant Bifurcations -- 8.5. Pitchfork Bifurcation -- 8.6. Hopf / Hopf Mode Interactions -- 8.7. Takens-Bogdanov Bifurcation with 22 Symmetry -- 8.8. Conclusion -- Acknowledgments -- References -- CHAPTER 9 MODULATORY EFFECTS OF COUPLING ON BURSTING MAPS -- 9.1. Introduction -- 9.2. Examples of Bursting Maps -- 9.3. Effects of Coupling -- 9.4. Rulkov's First Bursting Map: Explaining the Effect of Coupling -- 9.5. Discussion -- Acknowledgments -- References -- CHAPTER 10 BEYOND SYNCHRONIZATION: MODULAT. |
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Introduction -- 1.2. Tail Current Reversal -- 1.3. The 1982 Model -- 1.4. The 1984 Model -- 1.5. Subthreshold Oscillations -- 1.6. A Bifurcation Theorem -- References -- CHAPTER 2 NEGATIVE CALCIUM FEEDBACK: THE ROAD FROM CHAY-KEIZER -- 2.1. Introduction -- 2.2. Before the Beginning -- 2.3. The Beginning -- 2.4. The Demise of K(Ca) -- 2.5. The Return of K(Ca): Help from the Endoplasmic Reticulum -- 2.6. Further Modifications to the Model -- 2.7. Discussion -- Acknowledgements -- References -- CHAPTER 3 AUTOREGULATION OF BURSTING OF AVP NEURONS OF THE RAT HYPOTHALAMUS -- 3.1. Introduction -- 3.2. Electrical Properties of AVP Cells -- 3.3. Mathematical Model -- 3.4. Firing Patterns -- 3.5. Burst Structure -- 3.6. The Role of Calcium -- 3.7. The Action of Dynorphin -- 3.8. The Bursting Mechanism -- 3.9. The Dynamics of Dynorphin -- 3.10. Analysis of Bursting -- 3.11. Discussion -- Acknowledgements -- References -- CHAPTER 4 BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING -- 4.1. Introduction -- 4.2. A TWO Dimensional Model of Spiking Sodium Currents -- 4.3. Fast-Slow Analysis of Bursting -- 4.4. Discussion -- References -- CHAPTER 5 BURSTING IN 2-COMPARTMENT NEURONS: A CASE STUDY OF THE PINSKY-RINZEL MODEL -- 5.1. Introduction -- 5.2. The Pinsky-Rinzel Model -- 5.3. Dynamics of the Pinsky-Rinzel Model -- 5.4. Morris-Lecar Two-Compartment Models -- 5.5. Discussion -- Acknowledgments -- References -- CHAPTER 6 GHOSTBURSTING: THE ROLE OF ACTIVE DENDRITES IN ELECTROSENSORY PROCESSING -- 6.1. Introduction -- 6.2. Bursting Mechanism -- 6.3. Ghostburster Dynamics -- 6.4. Unique Features -- 6.5. Extensions and Other Work -- 6.6. Parallel Processing with Bursts and Isolated Spikes -- 6.7. Summary -- Acknowledgements -- References -- PART II: BURSTING AT THE NETWORK LEVEL -- CHAPTER 7 ANALYSIS OF CIRCUITS CONTAINING BURSTING NEURONS USING PHASE RESETTING CURVES -- 7.1. Introduction -- 7.2. Stability Analysis for Two Coupled Oscillators -- 7.3. Analysis of a Circuit of Two Model Neurons -- 7.4. Stability Analysis for a Three Neuron Ring Circuit -- 7.5. Analysis of a Circuit of Three Model Neurons -- 7.6. Analysis of a Two Neuron Hybrid Circuit -- 7.7. Effect of Changing Burst Durations in the Two Neuron Circuit -- 7.8. Phenomenology of Resetting in a Biological Bursting Neuron -- 7.9. Significance -- Acknowledgments -- References -- CHAPTER 8 BURSTING IN COUPLED CELL SYSTEMS -- 8.1. Introduction -- 8.2. Unfolding Theory and Bursting in Fast-Slow Systems -- 8.3. Bursting in Two Coupled Cells -- 8.4. Za-Equivariant Bifurcations -- 8.5. Pitchfork Bifurcation -- 8.6. Hopf / Hopf Mode Interactions -- 8.7. Takens-Bogdanov Bifurcation with 22 Symmetry -- 8.8. Conclusion -- Acknowledgments -- References -- CHAPTER 9 MODULATORY EFFECTS OF COUPLING ON BURSTING MAPS -- 9.1. Introduction -- 9.2. Examples of Bursting Maps -- 9.3. Effects of Coupling -- 9.4. Rulkov's First Bursting Map: Explaining the Effect of Coupling -- 9.5. Discussion -- Acknowledgments -- References -- CHAPTER 10 BEYOND SYNCHRONIZATION: MODULAT.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Neural transmission.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85091095</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Sensory neurons.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh94009744</subfield></datafield><datafield tag="650" ind1="1" ind2="2"><subfield code="a">Synaptic Transmission</subfield><subfield code="x">physiology</subfield></datafield><datafield tag="650" ind1=" " ind2="2"><subfield code="a">Synaptic Transmission</subfield><subfield code="0">https://id.nlm.nih.gov/mesh/D009435</subfield></datafield><datafield tag="650" ind1="2" ind2="2"><subfield code="a">Neurons, Afferent</subfield><subfield code="x">physiology</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Transmission nerveuse.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Neurones sensitifs.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MEDICAL</subfield><subfield code="x">Neuroscience.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">PSYCHOLOGY</subfield><subfield code="x">Neuropsychology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Neural transmission</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Sensory neurons</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Coombes, Stephen.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bressloff, Paul C.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="t">Bursting.</subfield><subfield code="d">Hackensack, NJ : World Scientific Pub., ©2005</subfield><subfield code="w">(DLC) 2005051845</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174566</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="936" ind1=" " ind2=" "><subfield code="a">BATCHLOAD</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH24683968</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10174079</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">174566</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">189920</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2500456</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn243614329 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:25Z |
| institution | BVB |
| isbn | 9812703233 9789812703231 981256506X 9789812565068 1281899208 9781281899200 9786611899202 6611899200 |
| language | English |
| oclc_num | 243614329 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvi, 401 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | World Scientific Pub., |
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| spelling | Bursting : the genesis of rhythm in the nervous system / editors, Stephen Coombes, Paul C. Bressloff. Hackensack, NJ : World Scientific Pub., ©2005. 1 online resource (xvi, 401 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references and index. Cover -- PREFACE -- CONTENTS -- PART I: BURSTING AT THE SINGLE CELL LEVEL -- CHAPTER 1 THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING -- 1.1. Introduction -- 1.2. Tail Current Reversal -- 1.3. The 1982 Model -- 1.4. The 1984 Model -- 1.5. Subthreshold Oscillations -- 1.6. A Bifurcation Theorem -- References -- CHAPTER 2 NEGATIVE CALCIUM FEEDBACK: THE ROAD FROM CHAY-KEIZER -- 2.1. Introduction -- 2.2. Before the Beginning -- 2.3. The Beginning -- 2.4. The Demise of K(Ca) -- 2.5. The Return of K(Ca): Help from the Endoplasmic Reticulum -- 2.6. Further Modifications to the Model -- 2.7. Discussion -- Acknowledgements -- References -- CHAPTER 3 AUTOREGULATION OF BURSTING OF AVP NEURONS OF THE RAT HYPOTHALAMUS -- 3.1. Introduction -- 3.2. Electrical Properties of AVP Cells -- 3.3. Mathematical Model -- 3.4. Firing Patterns -- 3.5. Burst Structure -- 3.6. The Role of Calcium -- 3.7. The Action of Dynorphin -- 3.8. The Bursting Mechanism -- 3.9. The Dynamics of Dynorphin -- 3.10. Analysis of Bursting -- 3.11. Discussion -- Acknowledgements -- References -- CHAPTER 4 BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING -- 4.1. Introduction -- 4.2. A TWO Dimensional Model of Spiking Sodium Currents -- 4.3. Fast-Slow Analysis of Bursting -- 4.4. Discussion -- References -- CHAPTER 5 BURSTING IN 2-COMPARTMENT NEURONS: A CASE STUDY OF THE PINSKY-RINZEL MODEL -- 5.1. Introduction -- 5.2. The Pinsky-Rinzel Model -- 5.3. Dynamics of the Pinsky-Rinzel Model -- 5.4. Morris-Lecar Two-Compartment Models -- 5.5. Discussion -- Acknowledgments -- References -- CHAPTER 6 GHOSTBURSTING: THE ROLE OF ACTIVE DENDRITES IN ELECTROSENSORY PROCESSING -- 6.1. Introduction -- 6.2. Bursting Mechanism -- 6.3. Ghostburster Dynamics -- 6.4. Unique Features -- 6.5. Extensions and Other Work -- 6.6. Parallel Processing with Bursts and Isolated Spikes -- 6.7. Summary -- Acknowledgements -- References -- PART II: BURSTING AT THE NETWORK LEVEL -- CHAPTER 7 ANALYSIS OF CIRCUITS CONTAINING BURSTING NEURONS USING PHASE RESETTING CURVES -- 7.1. Introduction -- 7.2. Stability Analysis for Two Coupled Oscillators -- 7.3. Analysis of a Circuit of Two Model Neurons -- 7.4. Stability Analysis for a Three Neuron Ring Circuit -- 7.5. Analysis of a Circuit of Three Model Neurons -- 7.6. Analysis of a Two Neuron Hybrid Circuit -- 7.7. Effect of Changing Burst Durations in the Two Neuron Circuit -- 7.8. Phenomenology of Resetting in a Biological Bursting Neuron -- 7.9. Significance -- Acknowledgments -- References -- CHAPTER 8 BURSTING IN COUPLED CELL SYSTEMS -- 8.1. Introduction -- 8.2. Unfolding Theory and Bursting in Fast-Slow Systems -- 8.3. Bursting in Two Coupled Cells -- 8.4. Za-Equivariant Bifurcations -- 8.5. Pitchfork Bifurcation -- 8.6. Hopf / Hopf Mode Interactions -- 8.7. Takens-Bogdanov Bifurcation with 22 Symmetry -- 8.8. Conclusion -- Acknowledgments -- References -- CHAPTER 9 MODULATORY EFFECTS OF COUPLING ON BURSTING MAPS -- 9.1. Introduction -- 9.2. Examples of Bursting Maps -- 9.3. Effects of Coupling -- 9.4. Rulkov's First Bursting Map: Explaining the Effect of Coupling -- 9.5. Discussion -- Acknowledgments -- References -- CHAPTER 10 BEYOND SYNCHRONIZATION: MODULAT. Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field. Print version record. English. Neural transmission. http://id.loc.gov/authorities/subjects/sh85091095 Sensory neurons. http://id.loc.gov/authorities/subjects/sh94009744 Synaptic Transmission physiology Synaptic Transmission https://id.nlm.nih.gov/mesh/D009435 Neurons, Afferent physiology Transmission nerveuse. Neurones sensitifs. MEDICAL Neuroscience. bisacsh PSYCHOLOGY Neuropsychology. bisacsh Neural transmission fast Sensory neurons fast Coombes, Stephen. Bressloff, Paul C. Print version: Bursting. Hackensack, NJ : World Scientific Pub., ©2005 (DLC) 2005051845 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174566 Volltext |
| spellingShingle | Bursting : the genesis of rhythm in the nervous system / Cover -- PREFACE -- CONTENTS -- PART I: BURSTING AT THE SINGLE CELL LEVEL -- CHAPTER 1 THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING -- 1.1. Introduction -- 1.2. Tail Current Reversal -- 1.3. The 1982 Model -- 1.4. The 1984 Model -- 1.5. Subthreshold Oscillations -- 1.6. A Bifurcation Theorem -- References -- CHAPTER 2 NEGATIVE CALCIUM FEEDBACK: THE ROAD FROM CHAY-KEIZER -- 2.1. Introduction -- 2.2. Before the Beginning -- 2.3. The Beginning -- 2.4. The Demise of K(Ca) -- 2.5. The Return of K(Ca): Help from the Endoplasmic Reticulum -- 2.6. Further Modifications to the Model -- 2.7. Discussion -- Acknowledgements -- References -- CHAPTER 3 AUTOREGULATION OF BURSTING OF AVP NEURONS OF THE RAT HYPOTHALAMUS -- 3.1. Introduction -- 3.2. Electrical Properties of AVP Cells -- 3.3. Mathematical Model -- 3.4. Firing Patterns -- 3.5. Burst Structure -- 3.6. The Role of Calcium -- 3.7. The Action of Dynorphin -- 3.8. The Bursting Mechanism -- 3.9. The Dynamics of Dynorphin -- 3.10. Analysis of Bursting -- 3.11. Discussion -- Acknowledgements -- References -- CHAPTER 4 BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING -- 4.1. Introduction -- 4.2. A TWO Dimensional Model of Spiking Sodium Currents -- 4.3. Fast-Slow Analysis of Bursting -- 4.4. Discussion -- References -- CHAPTER 5 BURSTING IN 2-COMPARTMENT NEURONS: A CASE STUDY OF THE PINSKY-RINZEL MODEL -- 5.1. Introduction -- 5.2. The Pinsky-Rinzel Model -- 5.3. Dynamics of the Pinsky-Rinzel Model -- 5.4. Morris-Lecar Two-Compartment Models -- 5.5. Discussion -- Acknowledgments -- References -- CHAPTER 6 GHOSTBURSTING: THE ROLE OF ACTIVE DENDRITES IN ELECTROSENSORY PROCESSING -- 6.1. Introduction -- 6.2. Bursting Mechanism -- 6.3. Ghostburster Dynamics -- 6.4. Unique Features -- 6.5. Extensions and Other Work -- 6.6. Parallel Processing with Bursts and Isolated Spikes -- 6.7. Summary -- Acknowledgements -- References -- PART II: BURSTING AT THE NETWORK LEVEL -- CHAPTER 7 ANALYSIS OF CIRCUITS CONTAINING BURSTING NEURONS USING PHASE RESETTING CURVES -- 7.1. Introduction -- 7.2. Stability Analysis for Two Coupled Oscillators -- 7.3. Analysis of a Circuit of Two Model Neurons -- 7.4. Stability Analysis for a Three Neuron Ring Circuit -- 7.5. Analysis of a Circuit of Three Model Neurons -- 7.6. Analysis of a Two Neuron Hybrid Circuit -- 7.7. Effect of Changing Burst Durations in the Two Neuron Circuit -- 7.8. Phenomenology of Resetting in a Biological Bursting Neuron -- 7.9. Significance -- Acknowledgments -- References -- CHAPTER 8 BURSTING IN COUPLED CELL SYSTEMS -- 8.1. Introduction -- 8.2. Unfolding Theory and Bursting in Fast-Slow Systems -- 8.3. Bursting in Two Coupled Cells -- 8.4. Za-Equivariant Bifurcations -- 8.5. Pitchfork Bifurcation -- 8.6. Hopf / Hopf Mode Interactions -- 8.7. Takens-Bogdanov Bifurcation with 22 Symmetry -- 8.8. Conclusion -- Acknowledgments -- References -- CHAPTER 9 MODULATORY EFFECTS OF COUPLING ON BURSTING MAPS -- 9.1. Introduction -- 9.2. Examples of Bursting Maps -- 9.3. Effects of Coupling -- 9.4. Rulkov's First Bursting Map: Explaining the Effect of Coupling -- 9.5. Discussion -- Acknowledgments -- References -- CHAPTER 10 BEYOND SYNCHRONIZATION: MODULAT. Neural transmission. http://id.loc.gov/authorities/subjects/sh85091095 Sensory neurons. http://id.loc.gov/authorities/subjects/sh94009744 Synaptic Transmission physiology Synaptic Transmission https://id.nlm.nih.gov/mesh/D009435 Neurons, Afferent physiology Transmission nerveuse. Neurones sensitifs. MEDICAL Neuroscience. bisacsh PSYCHOLOGY Neuropsychology. bisacsh Neural transmission fast Sensory neurons fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85091095 http://id.loc.gov/authorities/subjects/sh94009744 https://id.nlm.nih.gov/mesh/D009435 |
| title | Bursting : the genesis of rhythm in the nervous system / |
| title_auth | Bursting : the genesis of rhythm in the nervous system / |
| title_exact_search | Bursting : the genesis of rhythm in the nervous system / |
| title_full | Bursting : the genesis of rhythm in the nervous system / editors, Stephen Coombes, Paul C. Bressloff. |
| title_fullStr | Bursting : the genesis of rhythm in the nervous system / editors, Stephen Coombes, Paul C. Bressloff. |
| title_full_unstemmed | Bursting : the genesis of rhythm in the nervous system / editors, Stephen Coombes, Paul C. Bressloff. |
| title_short | Bursting : |
| title_sort | bursting the genesis of rhythm in the nervous system |
| title_sub | the genesis of rhythm in the nervous system / |
| topic | Neural transmission. http://id.loc.gov/authorities/subjects/sh85091095 Sensory neurons. http://id.loc.gov/authorities/subjects/sh94009744 Synaptic Transmission physiology Synaptic Transmission https://id.nlm.nih.gov/mesh/D009435 Neurons, Afferent physiology Transmission nerveuse. Neurones sensitifs. MEDICAL Neuroscience. bisacsh PSYCHOLOGY Neuropsychology. bisacsh Neural transmission fast Sensory neurons fast |
| topic_facet | Neural transmission. Sensory neurons. Synaptic Transmission physiology Synaptic Transmission Neurons, Afferent physiology Transmission nerveuse. Neurones sensitifs. MEDICAL Neuroscience. PSYCHOLOGY Neuropsychology. Neural transmission Sensory neurons |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174566 |
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