Brain Mechanics: Structure and Properties

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Explores neural signal processing for brain-computer interfaces, including decoding techniques like Kalman filters and spike sorting.

Foreign Body Reaction: Neural Interfaces

Explores the foreign body reaction to neural interfaces and the impact on implant performance.

Space Identification: SO(3)

Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).

Metric Spaces: Topology and Continuity

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Spatial Relations and Topology

Covers spatial relations, topology, adjacency, connectivity, and intersections in geographic information systems.

Topology: Disk Deprivation

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Neurodevelopment: Early Days in Human Embryonic Development

Explores neurodevelopment in human embryos, from neurulation to adult neurogenesis, highlighting the influence of environmental factors and the connection to depression.

Modular curves: Riemann surfaces and transition maps

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Topology: Continuous Deformations

Explores continuous deformations in topology, emphasizing the preservation of shape characteristics during transformations.