activity
20182025
most citedOn some classes of Riemannian manifolds

1 citations · 2 across the 10 of their papers we have counts for

collaborators

11 papers

math.NA2025

A Complete-Electrode-Model-Based Forward Approach for Transcranial Temporal Interference Stimulation with Linearization: A Numerical Simulation Study

Santtu Söderholm, Maryam Samavaki, Sampsa Pursiainen

Background and Objective: Transcranial temporal interference stimulation (tTIS) is a promising non-invasive brain stimulation technique in which interference between electrical cur…

math.OC2025

In Silico Study for Optimizing Intensity and Focality Electrode Configurations for Directional DBS Under Uncertainty Using Metaheuristic L1L1 Method

Fernando Galaz Prieto, Antti Lassila, Maryam Samavaki +1

Background and Objective: As Deep Brain Stimulation (DBS) advances toward directional leads and optimization-based current steering, selecting electrode contact configurations beco…

math.NA2024

A Coupled Diffusion Approximation for Spatiotemporal Hemodynamic Response and Deoxygenated Blood Volume Fraction in Microcirculation

Maryam Samavaki, Santtu Söderholm, Arash Zarrin Nia +1

Background and Objective: This proof of concept study investigates mathematical modelling of blood flow and oxygen transport in cerebral microcirculation, focusing on understanding…

math.AP2023

Navier-Stokes Modelling of Non-Newtonian Blood Flow in Cerebral Arterial Circulation and its Dynamic Impact on Electrical Conductivity in a Realistic Multi-Compartment Head Model

Maryam Samavaki, Arash Zarrin Nia, Santtu Söderholm +1

Background and Objective: This study aims to evaluate the dynamic effect of non-Newtonian cerebral arterial circulation on electrical conductivity distribution (ECD) in a realistic…

math.AP2023

Pressure-Poisson Equation in Numerical Simulation of Cerebral Arterial Circulation and Its Effect on the Electrical Conductivity of the Brain

Maryam Samavaki, Yusuf Oluwatoki Yusuf, Arash Zarrin nia +4

This study considers dynamic modelling of the cerebral arterial circulation and reconstructing an atlas for the electrical conductivity of the brain. While high-resolution 7-Tesla…

math.OC2022

Generating Optimally Focal and Intense Current Patterns in tES via Metaheuristic L1-L1 Search: Interior-Point vs. Simplex Algorithms

F. Galaz Prieto, M. Samavaki, S. Pursiainen

This numerical simulation study investigates solving the L1-norm fitted and regularized (L1-L1) linear programming (LP) problem to find a well-localized volumetric current density…

math.OC2022

L1-norm vs. L2-norm fitting in optimizing focal multi-channel tES stimulation: linear and semidefinite programming vs. weighted least squares

Fernando Galaz Prieto, Atena Rezaei, Maryam Samavaki +1

This study focuses on Multi-Channel Transcranial Electrical Stimulation, a non-invasive brain method for stimulating neuronal activity under the influence of low-intensity currents…

math.AP2022★ 1 cited

Multi-compartment human head modeling: generating adaptive tetrahedral mesh with GPU acceleration

Fernando Galaz Prieto, Joonas Lahtinen, Maryam Samavaki +1

This paper introduces a highly adaptive and automated approach for generating Finite Element (FE) discretization for a given realistic multi-compartment human head model obtained t…

math.DG2019★ 1 cited

On some classes of Riemannian manifolds

Maryam Samavaki, Jukka Tuomela

We study several classes of Riemannian manifolds which are defined by imposing a certain condition on the Ricci tensor. We consider the following cases: Ricci recurrent, Cotton, qu…

math.NA2019

On the numerical computation of Killing and conformally Killing vector fields on compact Riemannian manifolds

Gaëlle Brunet, Maryam Samavaki, Jukka Tuomela

The defining equations for Killing vector fields and conformal Killing vector fields are overdetermined systems of PDE. This makes it difficult to solve the systems numerically. We…

math.NA2018

Navier-Stokes equations on Riemannian manifolds

Maryam Samavaki, Jukka Tuomela

We study properties of the solutions to Navier-Stokes system on compact Riemannian manifolds. The motivation for such a formulation comes from atmospheric models as well as some th…