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Nonlinear dynamics of Parkinson's disease and the basal ganglia-thalamic-cortical system /

Nonlinear Dynamics of Parkinson's Disease and the Basal Ganglia-Thalamic-Cortical System examines current research regarding the operations of the basal ganglia-thalamic-cortical system that causes neurological disorders like Parkinson's disease. While there have been remarkable advances i...

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Bibliographic Details
Main Author: Montgomery, Erwin B., Jr
Corporate Author: ScienceDirect (Online service)
Other Authors: Darbin, Olivier
Format: eBook
Language:English
Published: Cambridge, MA : Academic Press, 2023.
Subjects:
Parkinson's disease > Mathematical models.
Parkinson's disease > Pathophysiology.
Basal ganglia.
Thalamus.
Parkinson Disease
Nonlinear Dynamics
Models, Theoretical
Basal Ganglia
Thalamus
Cerebral Cortex
Maladie de Parkinson > Modèles mathématiques.
Maladie de Parkinson > Physiopathologie.
Modèles mathématiques.
Noyaux gris centraux.
mathematical models.
Parkinson's disease > Pathophysiology
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Intro
  • Title page
  • Table of Contents
  • Copyright
  • Dedication
  • Epigraph
  • Preface
  • Chapter 1. Introduction
  • Abstract
  • Motivation
  • Revisiting the centrality of dopamine deficiency-Deep Brain Stimulation
  • Current theories
  • What is being offered
  • A brief note on nonlinearity, Chaos and Complexity by way of introduction
  • Focus on pathophysiology and then physiology
  • Evolution of past theories of pathophysiology and physiology
  • Shaping the approach
  • Dynamics
  • Sensory stimulation versus perception
  • Epistemic considerations
  • Importance of theories for the physiology and pathophysiology of the basal ganglia-thalamic-cortical system
  • Case study
  • Evaluation of potential theories
  • Traditional presumptions
  • Translation of traditional presumptions to mathematical models
  • Neurophysiology is fundamentally nonmonotonic nonlinear
  • Mathematical metaphors
  • Linearization of nonlinear phenomena
  • Self-organization in nonlinear systems
  • Networks of loosely coupled nonlinear oscillators
  • Case study revisited
  • Information theory
  • Plan
  • References
  • Chapter 2. Conundrums
  • Abstract
  • The need to reassess current theories of basal ganglia-thalamic-cortical pathophysiology and physiology
  • Increasing the Completeness of theories of basal ganglia-thalamic-cortical pathophysiology and physiology
  • References
  • Chapter 3. Anatomy
  • Abstract
  • Anatomical models of pathophysiology and physiology
  • Reasoning from pathological-behavioral correlations
  • Problems
  • The Cajal-Golgi debates
  • Anatomy is not physiology
  • References
  • Chapter 4. Physiology
  • Abstract
  • Realizing the challenge
  • Basis of motor control
  • Motor unit orchestration
  • Conclusion
  • References
  • Chapter 5. Misrepresentation of nonmonotonic nonlinear dynamics
  • Abstract
  • How would one know if there is a misrepresentation?.
  • Instrumental misrepresentation
  • Experimental design misrepresentations
  • Analytical misrepresentations
  • Inferences that misrepresent the data
  • Advancing to nonmonotonic nonlinear experimental design and analyses
  • References
  • Chapter 6. Conceptual momentum of one-dimensional push-pull dynamics
  • Abstract
  • Persistence of one-dimensional push-pull dynamics as archetypical paradigm
  • Historical legacy
  • The Contraries as the origin of the one-dimensional push-pull dynamics paradigm
  • One approach to the infinitesimal but not a resolution
  • The nature of the legacy
  • References
  • Chapter 7. Acquiring and analyzing nonmonotonic nonlinear dynamics
  • Abstract
  • Recognizing nonmonotonic nonlinear dynamics in experimental observations
  • Equilibrium and nonequilibrium dynamics
  • Challenges to analysis of nonmonotonic nonlinear analyses
  • Nonmonotonic nonlinear analyses
  • Nonmonotonic nonlinear motifs
  • References
  • Chapter 8. Nonmonotonic nonlinear dynamical modeling
  • Abstract
  • The necessity of modeling
  • Judging models
  • Two general approaches to modeling
  • Reductionism
  • Mereology
  • Mathematical versus computational
  • References
  • Chapter 9. Networks of nonmonotonic nonlinear oscillators
  • Abstract
  • Reconstruction of the anatomical architecture
  • Reconstruction of the physiological architecture
  • Unique oscillator mechanisms that contribute to the physiology and pathophysiology of the basal ganglia-thalamic-cortical system
  • Anatomical and physiological tenets of the proposed theory
  • Computational modeling and simulation
  • Implications for the actual pathophysiology and physiology of the basal ganglia-thalamic-cortical system
  • Extension to pathophysiology
  • References
  • Appendix A. Deep dive into neurophysiological epistemology
  • Challenge
  • Carving nature at its joints.
  • The mereology of distributed locality
  • How to begin
  • Knowledge versus understanding
  • Principles of Causational and Informational Synonymy
  • Epistemic response to the fundamental ontological problem
  • Appendix B. Chance, randomness, and incompleteness
  • Randomness
  • Stochasticity or chance
  • Incompleteness
  • Appendix C. Unpredictability, dependence on initial conditions, and self-organization
  • How can an equation be unpredictable?
  • Equations of motion and activation
  • Chaos and complexity
  • Other forms of unpredictability
  • Appendix D. Information theory
  • Dimensionality
  • Shannon Information Theory
  • Synonymy of physical and informational entropy
  • D.4 Shannon's notion of order
  • Index.