A5012615158- Geophysics and Gravity Measurements
- Advanced Numerical Methods in Computational Mathematics
- Advanced Numerical Analysis Techniques
- Medical Image Segmentation Techniques
- Computer Graphics and Visualization Techniques
- 3D Shape Modeling and Analysis
- Geomagnetism and Paleomagnetism Studies
- Computational Fluid Dynamics and Aerodynamics
- Advanced Mathematical Modeling in Engineering
- GNSS positioning and interference
- Numerical methods in inverse problems
- Cell Image Analysis Techniques
- Mathematical Biology Tumor Growth
- Fluid Dynamics and Turbulent Flows
- Lattice Boltzmann Simulation Studies
- Remote Sensing and LiDAR Applications
- Geophysical and Geoelectrical Methods
- Computational Geometry and Mesh Generation
- Image and Signal Denoising Methods
- Advanced Vision and Imaging
- Differential Equations and Numerical Methods
- Remote Sensing in Agriculture
- Inertial Sensor and Navigation
- Geometric Analysis and Curvature Flows
- Immune cells in cancer
Slovak University of Technology in Bratislava
2015-2024
Abstract The quantitative and systematic analysis of embryonic cell dynamics from in vivo 3D+time image data sets is a major challenge at the forefront developmental biology. Despite recent breakthroughs microscopy imaging living systems, producing an accurate lineage tree for any developing organism remains difficult task. We present here BioEmergences workflow integrating all reconstruction steps acquisition processing to interactive visualization reconstructed data. Original mathematical...
We designed a strategy for extracting the shapes of cell membranes and nuclei from time lapse confocal images taken throughout early zebrafish embryogenesis using partial-differential-equation-based segmentation. This segmentation step is prerequisite an accurate quantitative analysis morphodynamics during it basis integrated understanding biological processes. The embryonic cells requires live embryos fluorescently labeled to highlight sub-cellular structures designing specific algorithms...
In this paper we study evolution of plane curves satisfying a geometric equation $v= \beta(k, \nu)$, where v is the normal velocity and k $\nu$ are curvature tangential angle curve $\Gamma$. We follow direct approach analyze so-called intrinsic heat governing motion obeying such equation. The modified to include an appropriate nontrivial functional $\alpha$. show how presence can prevent numerical solutions from forming various instabilities. From analytical point view present some new...
Wetlands, areas that are permanently or seasonally flooded saturated with water, among the most productive and biodiverse ecosystems on planet. Their conservation, revitalization health status monitoring require hydrological modelling. We introduce novel modelling tool in NaturaSat software show useful workflows supporting environmental control informed decisions. The is based numerical solution of Laplace equation Dirichlet boundary conditions a triangular grid using complementary volume...
We present 3D numerical modelling of the altimetry-derived marine gravity data with high horizontal resolution 1 x arc min. The finite volume method (FVM) as a is used to solve altimetry-gravimetry boundary-value problem. Large-scale parallel computations result in disturbing potential every discretized computational domain between an ellipsoidal approximation Earth’s surface and upper boundary chosen at altitude 200 km. Afterwards, first, second or third derivatives different...
Abstract A new method for solution of the evolution plane curves satisfying geometric equation v = β ( x,k,ν ), where is normal velocity, k and ν are curvature tangential angle a curve Γ ⊂ ℝ 2 at point x ∈Γ, proposed. We derive governing system partial differential equations curvature, angle, local length position vector an evolving family prove in time existence classical solution. These include non‐trivial velocity functional uniform redistribution grid points thus preventing numerically...
In response to wound signals, macrophages are immediately recruited the injury where they acquire distinct phenotypes and functions, playing crucial roles both in host defense healing process. Although macrophage have been intensively studied during healing, mostly using markers expression profiles, impact of environment on shape behaviour, underlying mechanisms deserve more in-depth investigation. Here, we sought characterize dynamics recruitment behaviour aseptic wounding caudal fin fold...
We introduce a three‐dimensional (3D) semi‐implicit complementary volume numerical scheme for solving the level set formulation of (Riemannian) mean curvature flow problem. apply to segmentation objects (with interrupted edges) in 3D images. The method is unconditionally stable and efficient regarding computational times. study its experimental order convergence on examples shows second accuracy smooth solutions first highly singular with vanishing gradients as arising image segmentation.
We designed a set of procedures for achieving the tracking cell nuclei and identification divisions in live zebrafish embryos using 3D+time images acquired by confocal laser scanning microscopy (CLSM). Our strategy includes image signal enhancement with feature preserving denoising algorithm, automated position, extraction optical flow from 3D sequences nuclei.
A new high‐resolution flux‐based finite volume method for general advection equations in nondivergent form including a level set equation moving interfaces is introduced. The applicable to the case of nondivergence free velocity and unstructured grids higher dimensions. We show that consistent numerical solution fulfills discrete minimum/maximum principle. Numerical experiments its second order accuracy smooth solutions as well with discontinuous derivatives on meshes. examples passive...
Reconstructing the lineage of cells is central to understanding how wide diversity cell types develops. Here, we provide neurosensory reconstruction a complex sensory organ, inner ear, by imaging zebrafish embryos in vivo over an extended timespan, combining tracing and fate marker expression time. We deliver first dynamic map early neuronal progenitor pools whole otic vesicle. It highlights remodeling domain upon neuroblast delamination, reveals that order place neuroblasts’ delamination...
In this paper we propose several techniques for tangential redistribution of points on evolving surfaces. This is an important issue in numerical approximation any Lagrangian evolution model, since the quality mesh has a significant impact result computation. We explain volume-oriented and length-oriented methods general setting $m$-dimensional manifold $n$-dimensional manifold. Then, apply proposed to problems. models present experiments illustrating performance our techniques.