Periodic Reporting for period 1 - VIBraTE (Viscoelastic Interactions of the Brain Tissue with Brain-Computer Interfaces)
Période du rapport: 2023-02-01 au 2024-04-30
The scientific objectives of the VIBraTE project are to
- Model and study how implants and the brain interact through viscoelastic forces;
- Design shapes that improve the recording quality and reliability of invasive brain electrodes;
- Analyze how substances diffuse around implants and how this influences their functionality;
- Model the mechanical effects on the brain activity that is recorded;
Heading the project is Prof. Dimiter Prodanov, MD, who also holds a position at the Interuniversity Microelectronics Centre (Imec) in Leuven, Belgium—a world-leading research center in the area of nanoelectronics and digital technologies. Since 2008 Dimiter Prodanov conducted research in the development of deep brain stimulation and recording electrodes. Prof. Prodanov has a rich and diverse academic and professional background in neuroscience, medicine, and engineering. Originally a doctor of medicine by training, Prof. Prodanov's research contributions span computational biology, mathematical epidemiology, as well as therapeutic modulation of brain activity. His technical pursuits involve the assessment of technological risks, and the development of computer algebra tools and numerical algorithms to model biophysical phenomena and analyze images.
The VIBraTE Chair relies on the combined expertise of Prof. Prodanov with the relevant expertise in neural network models, scientific computing, and signal processing, already available at the host. The VIBraTE Chair will allow for the formation of a top-notch research group within Bulgaria, which will become a central knowledge hub for neurotechnology in the country.
The Wright function is a fascinating mathematical entity of its merit. It was first introduced in 1935, but it gained more attention from mathematicians when they discovered how it relates to the theory of space- and time-fractional diffusion equations.
With two continuous parameters, it is possible to form complex connections with many other elementary and special functions. This work shows all the cases where the Wright function can be expressed as sums of generalized hypergeometric functions and polynomials, which then reveal the links with the theory of the Airy, Bessel, Gaussian, exponential, and error functions, etc.
A concrete application of these results is expected in computer algebra for validating numerical methods for computing the Wright function and computing inverse Laplace transforms.
The article is part of the special issue in Fractal and Fractional entitled “Fractional Differential Operators with Classical and New Memory Kernels ” guest-edited by Prof. Hristov and Prof. Prodanov