Mathematical Modeling of the Learning Curve and its Practical Applications



: Mathematics Research Developments
BISAC: MAT029030

This book provides a detailed description of the application of mathematical learning curve modeling to analyze the state of learning and memory in humans and animals. The purpose of the book is to enable the readers to apply the knowledge gained in their own research on learning and memory. The authors hope that the readers may achieve success in this field of knowledge, expand and advance mathematical modeling of the learning curve, and that this book may aid in this process.

For this, the authors have developed their own mathematical model based on the systems theory and proved its advantage in relation to those previously proposed. The authors developed MS Windows application “Learning Curve Modeling Tool” to help the reader modeling the learning curve from raw learning data in the California Verbal Learning Test, the Rey Auditory Verbal Learning Test, and other similar memory tests. Moreover, the book describes in detail the Windows and Android application “Memory Monitoring Tool”, developed by the authors, which is suited well for mathematical modeling of the learning curves. The application aims to reveal initial signs of memory impairment. Besides, the section APPENDIX A describes a Web application — “Learning curve simulator” — developed by the authors for helping readers to get started with practically modeling the learning curve and testing their memory. This application is included in the book.

The book will be useful for undergraduate students, graduate students, advanced graduate students, and professors, especially for professors who work on learning in both humans and animals, and those interested in the memory of marijuana users, alcoholics, and those suffering from diabetes and multiple sclerosis, as well as other neurological and psychological diseases and their neurological complications including those after COVID-19.

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Table of Contents




Chapter 1. Mathematical Models of the Learning Curves

Chapter 2. Modeling the Learning Curves in Animals

Chapter 3. The CVLT Learning Curves in Patients with Type 2 Diabetes Mellitus (T2DM)

Chapter 4. The CVLT-II Learning Curves in Patients with Multiple Sclerosis

Chapter 5. Modeling the CVLT-C Learning Curves

Chapter 6. Modification of a Free-Recalled Memory Test for Modeling the Learning Curve

Chapter 7. Computer Applications for Modeling the Learning Curve, Developed by the Authors

Chapter 8. Concluding Remarks




Author ORCID iD

Charles Ira Abramson

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