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About Gin McCollum

Mathematical Structure in Neural Systems
I entered neurobiology with a Ph.D. in Theoretical Physics and have collaborated extensively with experimental neurobiologists and clinicians. Most of my work has been in sensorimotor neurobiology and related neuronal populations and cognition.
Nervous systems have many levels of organization that are near each other and interacting. Nonetheless, each system investigated has displayed a clear structure. From some perspective, each system has a compelling mathematical structure, related to its function.
Clinical relevance includes human balance and locomotion, sensorimotor integration, and vestibular disorders, including cognitive difficulties associated with vestibular disorders.
Theoretical physics has provided both insight into the physical world and methods for identifying and formalizing mathematical structure in empirical sciences. Our mathematical approaches tend to be algebraic, including symmetry groups in neural systems and continuous/discrete structures related to quantum logic. We have also used analytic and topological approaches.
Current projects:
1) Neural underpinnings of mathematics
2) Momentum management in human gait and balance
3) Oscillatory properties in the cerebellum and their interactions with organism functions.


Present Adjunct Research Professor, Portland State University Fariborz Maseeh Department of Mathematics and Statistics
Present Faculty Member, Neurosciences Graduate Program, Oregon Health Sciences University

Curriculum Vitae

Research Interests

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Cognition (3)

Symmetries in the Central Vestibular System (6)

Perception (6)

Conditional Dynamics; Discrete/Continuous Approach to Sensorimotor Neurobiology (15)