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Topodynamics of metastable brains
Arturo Tozzi1, James F Peters2, Andrew A Fingelkurts3
1Center for Nonlinear Science, University of North Texas, 1155 Union Circle, #311427, Denton, TX 76203-5017, USA.
Physics of Life Reviews
|April 5, 2017
Summary
This study introduces a "topodynamic" approach using algebraic topology to describe the metastable brain. This new model bridges subjective experiences and objective neuroscientific data, offering new research directions.
Area of Science:
- Neuroscience
- Complex Systems
- Algebraic Topology
Background:
- The brain exhibits complex anatomical and functional properties, including interconnected topological mappings and nonlinear dynamics at the edge of chaos.
- Few studies have explored the topological path of the brain within its environment, despite advancements in neuro-anatomy and connectomics.
Purpose of the Study:
- To provide a topodynamic description of the metastable brain using algebraic topology, integrating the Operational Architectonics model.
- To bridge the gap between subjective mental experiences and objective neuroscientific data.
Main Methods:
- Utilized novel formal tools from algebraic topology.
- Developed a "topodynamic" description to analyze spatio-temporal brain functioning levels.
- Modeled brain function relationships as projections and mappings on abstract structures with varying dimensions, curvatures, and energy constraints.
Main Results:
- Introduced a biologically plausible and operationalizable model of brain function.
- Demonstrated how spatio-temporal brain activity can be mapped onto abstract topological structures.
- Successfully bridged the dichotomy between subjective mentation and objective experimental data.
Conclusions:
- The topodynamic approach offers a new framework for understanding brain-mind functioning.
- This approach integrates diverse levels of brain activity within a unified mathematical structure.
- Opens avenues for new predictions and future advancements in neuroscientific research.