Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.

Contents:

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  Introduction

  
  


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  About the Author

  
  


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  Notes to the Reader

  
  


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  Logic and Networks:

  
  
  
  
  • Logical Foundations
  
  
  • Neuronal Networks
  
  
  • The Logic of Many Networks
  
  
  
  


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  Applications:

  
  
  
  
  • Memory-like Processes
  
  
  • Tsien's Theory of Connectivity
  
  
  • A General Syntax of Retrieval
  
  
  
  


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  Appendices:

  
  
  
  
  • Appendix to Chapter 1
  
  
  • A Mathematics Primer
  
  
  
  


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  Bibliography

  
  


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  Index

  
  

Readership: Researchers and graduate students in Neuroscience, Biomathematics, Biophysics, Mathematics, Computer Science, and related fields.

Key Features:

• Introduces a new neural network model and its applications


• The book is largely self-contained, with proofs developed in situ


• Two appendices provided for readers without the requisite background