Nonlinear Dynamics of Parkinson’s Disease and the Basal Ganglia-Thalamic-Cortical System

Dr. Montgomery has been an academic neurologist for over 40 years pursuing teaching, clinical and basic research at major academic medical centers. He has authored over 120 peer reviewed journal articles (available on PubMed) and 8 books on medicine (4 on the subject of Deep Brain Stimulation). The last two have been “Reproducibility in Biomedical Research” (Academic Press, 2024) and “The Ethics of Everyday Medicine” (Academic Press, 2023). Dr. Darbin pursues theoric, basic and translational research on the function of the basal ganglia and has worked at major centres in Europe, America and Japan. He has authored over 50 peer reviewed journal articles (available on PubMed) in biochemistry, neurophysiology and psychophysiology. His current research is on therapeutic on-demand for conditions with movement disorders (Nature Scientific Report, 2022).

1. Introduction
2. Conundrums
3. Anatomy
4. Physiology
5. Misrepresentation of the nonmonotonic nonlinear dynamics
6. Conceptual momentum of one-dimensional push-pull dynamics
7. Acquiring and analyzing nonmonotonic nonlinear dynamics
8. Nonmonotonic nonlinear dynamical modeling
9. Networks of nonmonotonic nonlinear oscillators
Appendix A. Deep dive into neurophysiological epistemology
Appendix B. Chance, randomness, and incompleteness
Appendix C. Unpredictability, dependence on initial conditions and self-organization
Appendix D. Information theory