Doctoral Researcher – Teodor Vakarelsky

Short Biography:

Researcher in VIBraTE project
Bulgarian Academy of Sciences
(January 2024-now)

PhD research in Institute of Information and Communication Technologies,
Bulgarian Academy of Sciences
(October 2022-Now)

Sofia University “St. Kliment Ohridski”
Master of Computational Mathematics and Mathematical Modelling
(September 2020 —March 2022)

Karlsruhe Institute for Technology, Germany
Additional specialisation in mathematical modelling
(September 2017 — September 2018)

Sofia University “St. Kliment Ohridski”
Bachelor of Mathematics
(September 2015 — August 2020)

Sofia High School of Mathematics
(September 2007 —June 2015)

Born in Sofia, Bulgaria
(July 1996)


Academical research interests:

Teodor Vakarelsky is an applied mathematician with main interest in mathematical modelling. He is combining interdisciplinary knowledge in natural sciences (Physics, Biology and Chemistry) with his solid background in applied mathematics. Teodor Vakarelsky has been working on:

  • Modelling bioreactors
  • Solving different regimes of non-linear systems of heat equations
  • Optimising valve control of parabolic solar plants and improving its efficiency
  • Nosie clearance of discrete signals through SVD and/or Kalman filter
  • Modelling eye movement, analysing the three basic fixative eye movements
  • Microsaccades detection and parametrisation in the eyetracking context
  • Person identification in small groups through eyetracking


His work in this project is:

  • Creating mathematical models for diffusion in the brain tissue;
  • Deriving the corresponding fractional differential equations;
  • Analysing them;
  • Approximating their solution and interpreting the results.

Vakarelsky is consistently generating new ideas, problems and solutions concerning mathematical models concerning:

  • Brain tissue diffusion and cell distribution around the domain of an electrode;
  • Viscoelastic deformations on modelled brain activity.

Vakarelsky’s key skills and competences include:

  • Mathematical modelling
  • Applied physics
  • Differential equations derivation
  • Numerical methods and FEM
  • Functional analysis
  • Fractional analysis
  • Asymptotical analysis
  • Integral transformations for solving PDE


Selected Publications:

[1] Alexiev, K., Vakarelsky, T.: “Eye movement analysis in simple visual tasks“.
Computer Science and Information Systems (2021),

[2] Alexiev, K., Vakarelsky, T.: “Can Microsaccades Be Used for Biometrics?
Sensors (2023),