Models of Horizontal Eye Movements, Part II

Book description


There are five different types of eye movements: saccades, smooth pursuit, vestibular ocular eye movements, optokinetic eye movements, and vergence eye movements. The purpose of this book is focused primarily on mathematical models of the horizontal saccadic eye movement system and the smooth pursuit system, rather than on how visual information is processed. A saccade is a fast eye movement used to acquire a target by placing the image of the target on the fovea. Smooth pursuit is a slow eye movement used to track a target as it moves by keeping the target on the fovea. The vestibular ocular movement is used to keep the eyes on a target during brief head movements. The optokinetic eye movement is a combination of saccadic and slow eye movements that keeps a full-field image stable on the retina during sustained head rotation. Each of these movements is a conjugate eye movement, that is, movements of both eyes together driven by a common neural source. A vergence movement is a non-conjugate eye movement allowing the eyes to track targets as they come closer or farther away. In this book, a 2009 version of a state-of-the-art model is presented for horizontal saccades that is 3rd-order and linear, and controlled by a physiologically based time-optimal neural network. The oculomotor plant and saccade generator are the basic elements of the saccadic system. The control of saccades is initiated by the superior colliculus and terminated by the cerebellar fastigial nucleus, and involves a complex neural circuit in the mid brain. This book is the second part of a book series on models of horizontal eye movements.

Table of Contents: 2009 Linear Homeomorphic Saccadic Eye Movement Model and Post-Saccade Behavior: Dynamic and Glissadic Overshoot / Neural Network for the Saccade Controller

Table of contents

  1. Preface
  2. 2009 Linear Homeomorphic Saccadic Eye Movement Model and Post-Saccade Behavior: Dynamic and Glissadic Overshoot
    1. Introduction
    2. Oculomotor Plant
      1. Derivation of the Differential Equation Describing the Oculomotor System (1/2)
      2. Derivation of the Differential Equation Describing the Oculomotor System (2/2)
      3. Neural Input (1/2)
      4. Neural Input (2/2)
      5. Saccade Response (1/2)
      6. Saccade Response (2/2)
    3. Parameter Estimation and System Identification (1/2)
    4. Parameter Estimation and System Identification (2/2)
      1. System Identification
      2. Numerical Gradient
      3. Velocity and Acceleration Estimation
      4. Inverse Filter
    5. Initial Parameter Estimation for Humans
      1. Estimation of the Start Time and Duration of a Saccade
      2. Estimation of model parameters
      3. Estimation of Parameters for the Agonist Muscle
      4. Estimation of Parameters for Antagonist Muscle
      5. Corrections
      6. Implementation
    6. Initial Parameter Estimation for Monkey
      1. Static Conditions
      2. Force-Velocity Characteristics
      3. Oculomotor Plant Parameters
    7. Monkey Data and Results (1/2)
    8. Monkey Data and Results (2/2)
    9. Human Data and Results (1/2)
    10. Human Data and Results (2/2)
    11. Post-Inhibitory Rebound Burst and Post Saccade Phenomena
    12. Time-Optimal Controller
  3. Neural Network for the Saccade Controller
    1. Introduction
    2. Neural Network (1/2)
    3. Neural Network (2/2)
    4. Paramedian Pontine Reticular Formation (1/2)
    5. Paramedian Pontine Reticular Formation (2/2)
      1. Hodgkin-Huxley Model of an EBN (1/2)
      2. Hodgkin-Huxley Model of an EBN (2/2)
      3. Components of the Burst
      4. Post Inhibitory Rebound Burst Firing
    6. Superior Colliculus
      1. SC Sequence of Activity in the Generation of a Saccade
      2. Superior Colliculus Model of the Moving Hill (1/4)
      3. Superior Colliculus Model of the Moving Hill (2/4)
      4. Superior Colliculus Model of the Moving Hill (3/4)
      5. Superior Colliculus Model of the Moving Hill (4/4)
    7. Cerebellum
      1. Cerebellar Structure
      2. Cerebellar Control of Saccades
      3. Role of Fastigial Nucleus
      4. Cerebellar Saccade Model
    8. Saccades and Neural Activity
    9. Time Optimal Control of Saccades
  4. Bibliography (1/3)
  5. Bibliography (2/3)
  6. Bibliography (3/3)
  7. Authors' Biographies

Product information

  • Title: Models of Horizontal Eye Movements, Part II
  • Author(s): John Enderle, Wei Zhou
  • Release date: March 2010
  • Publisher(s): Morgan & Claypool Publishers
  • ISBN: 9781608454471