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).

"...describes the dynamics of basal ganglia networks... [and] theories that express the dynamic interaction between these functional nuclei... [including] thalamus and cortical interactions.... [A]pproaches the current therapeutic interventions and elaborates on the lack of clear theories that explain the current response to therapies.... [D]elves into detailed mathematical and physical analyses, which makes it well suited for researchers interested in medical sciences… [W]ritten with detailed discussion of theoretical analysis of interactions between different brain areas involved in movement, particularly Parkinson’s disease.... [A] good addition to the field of movement disorders. As the field is growing and interaction between complete logical machines is accomplished and understood (e.g., deep brain stimulation), the better automated this interaction can be achieved. This can be a game changer in deep brain stimulation for many patients to achieve a state-of-the-art automated therapy based on their symptoms." — ©Doody’s Review Service, 2024, Karim Makhoul, MD (Northwell Health)

• 1. Introduction2. Conundrums3. Anatomy4. Physiology5. Misrepresentation of the nonmonotonic nonlinear dynamics6. Conceptual momentum of one-dimensional push-pull dynamics7. Acquiring and analyzing nonmonotonic nonlinear dynamics8. Nonmonotonic nonlinear dynamical modeling9. Networks of nonmonotonic nonlinear oscillatorsAppendix A. Deep dive into neurophysiological epistemologyAppendix B. Chance, randomness, and incompletenessAppendix C. Unpredictability, dependence on initial conditions and self-organizationAppendix D. Information theory