Search Results - "Kuchta, Miroslav"

Investigating molecular transport in the human brain from MRI with physics-informed neural networks by Zapf, Bastian, Haubner, Johannes, Kuchta, Miroslav, Ringstad, Geir, Eide, Per Kristian, Mardal, Kent-Andre

“…In recent years, a plethora of methods combining neural networks and partial differential equations have been developed. A widely known example are…”
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Sleep cycle-dependent vascular dynamics in male mice and the predicted effects on perivascular cerebrospinal fluid flow and solute transport by Bojarskaite, Laura, Vallet, Alexandra, Bjørnstad, Daniel M., Gullestad Binder, Kristin M., Cunen, Céline, Heuser, Kjell, Kuchta, Miroslav, Mardal, Kent-Andre, Enger, Rune

“…Perivascular spaces are important highways for fluid and solute transport in the brain enabling efficient waste clearance during sleep. However, the underlying…”
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A Cell-Based Framework for Numerical Modeling of Electrical Conduction in Cardiac Tissue by Tveito, Aslak, Jæger, Karoline H., Kuchta, Miroslav, Mardal, Kent-Andre, Rognes, Marie E.

“…In this paper, we study a mathematical model of cardiac tissue based on explicit representation of individual cells. In this EMI model, the extracellular (E)…”
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A numerical investigation of intrathecal isobaric drug dispersion within the cervical subarachnoid space by Haga, Per Thomas, Pizzichelli, Giulia, Mortensen, Mikael, Kuchta, Miroslav, Pahlavian, Soroush Heidari, Sinibaldi, Edoardo, Martin, Bryn A, Mardal, Kent-Andre

“…Intrathecal drug and gene vector delivery is a procedure to release a solute within the cerebrospinal fluid. This procedure is currently used in clinical…”
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Hybrid FEM-NN models: Combining artificial neural networks with the finite element method by Mitusch, Sebastian K., Funke, Simon W., Kuchta, Miroslav

“…•An approach for training neural networks combined with partial differential equations.•Combines a finite element framework with a machine learning…”
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Learning mesh motion techniques with application to fluid–structure interaction by Haubner, Johannes, Hellan, Ottar, Zeinhofer, Marius, Kuchta, Miroslav

“…Mesh degeneration is a bottleneck for fluid–structure interaction (FSI) simulations and for shape optimization via the method of mappings. In both cases, an…”
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Directional flow in perivascular networks: mixed finite elements for reduced-dimensional models on graphs by Gjerde, Ingeborg G., Kuchta, Miroslav, Rognes, Marie E., Wohlmuth, Barbara

“…Flow of cerebrospinal fluid through perivascular pathways in and around the brain may play a crucial role in brain metabolite clearance. While the driving…”
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Robust preconditioning for coupled Stokes–Darcy problems with the Darcy problem in primal form by Holter, Karl Erik, Kuchta, Miroslav, Mardal, Kent-Andre

“…The coupled Darcy–Stokes problem is widely used for modeling fluid transport in physical systems consisting of a porous part and a free part. In this work we…”
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Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers by Boon, Wietse M., Hornkjøl, Martin, Kuchta, Miroslav, Mardal, Kent-André, Ruiz-Baier, Ricardo

“…In this paper we advance the analysis of discretizations for a fluid-structure interaction model of the monolithic coupling between the free flow of a viscous…”
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Preconditioning trace coupled 3 d ‐1 d systems using fractional Laplacian by Kuchta, Miroslav, Mardal, Kent‐Andre, Mortensen, Mikael

“…Multiscale or multiphysics problems often involve coupling of partial differential equations posed on domains of different dimensionality. In this work, we…”
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Experiments on air entrainment produced by a circular free falling jet by Ramirez de la Torre, R.G., Kuchta, Miroslav, Jensen, Atle

“…•Use steepness to describe the jet disturbances.•Analysis of individual amplitude and wavelength of all the disturbances presented.•Simple setup to create a…”
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Preconditioning trace coupled 3d‐1d systems using fractional Laplacian by Kuchta, Miroslav, Mardal, Kent‐Andre, Mortensen, Mikael

“…Multiscale or multiphysics problems often involve coupling of partial differential equations posed on domains of different dimensionality. In this work, we…”
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Robust Approximation of Generalized Biot-Brinkman Problems by Hong, Qingguo, Kraus, Johannes, Kuchta, Miroslav, Lymbery, Maria, Mardal, Kent-André, Rognes, Marie E.

“…The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks and…”
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On the singular Neumann problem in linear elasticity by Kuchta, Miroslav, Mardal, Kent‐Andre, Mortensen, Mikael

“…Summary The Neumann problem of linear elasticity is singular with a kernel formed by the rigid motions of the body. There are several tricks that are commonly…”
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An observation on the uniform preconditioners for the mixed Darcy problem by Bærland, Trygve, Kuchta, Miroslav, Mardal, Kent‐Andre, Thompson, Travis

“…When solving a multiphysics problem one often decomposes a monolithic system into simpler, frequently single‐physics, subproblems. A comprehensive solution…”
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Domain decomposition solvers for operators with fractional interface perturbations by Kuchta, Miroslav

“…Operators with fractional perturbations are crucial components for robust preconditioning of interface-coupled multiphysics systems. However, in case the…”
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A cell-based framework for modeling cardiac mechanics by Telle, Åshild, Trotter, James D., Cai, Xing, Finsberg, Henrik, Kuchta, Miroslav, Sundnes, Joakim, Wall, Samuel T.

“…Cardiomyocytes are the functional building blocks of the heart—yet most models developed to simulate cardiac mechanics do not represent the individual cells…”
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How does the presence of neural probes affect extracellular potentials? by Buccino, Alessio Paolo, Kuchta, Miroslav, Jæger, Karoline Horgmo, Ness, Torbjørn Vefferstad, Berthet, Pierre, Mardal, Kent-Andre, Cauwenberghs, Gert, Tveito, Aslak

“…Mechanistic modeling of neurons is an essential component of computational neuroscience that enables scientists to simulate, explain, and explore neural…”
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Encoder–decoder neural networks for predicting future FTIR spectra – application to enzymatic protein hydrolysis by Kuchta, Miroslav, Wubshet, Sileshi Gizachew, Afseth, Nils Kristian, Mardal, Kent‐André, Liland, Kristian Hovde

“…In the process of converting food‐processing by‐products to value‐added ingredients, fine grained control of the raw materials, enzymes and process conditions…”
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Assembly of multiscale linear PDE operators by Kuchta, Miroslav

“…In numerous applications the mathematical model consists of different processes coupled across a lower dimensional manifold. Due to the multiscale coupling,…”
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