Nikolaos Sfakianakis

发表

Modeling multiple taxis: Tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence

C. Surulescu, C. Stinner, N. Sfakianakis, 2020, Discrete & Continuous Dynamical Systems - B.

A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model

Nikolaos Sfakianakis, Maria Lukacova-Medvidova, Niklas Kolbe, 2016, Appl. Math. Comput..

Numerical study of cancer cell invasion dynamics using adaptive mesh refinement: the urokinase model

Nikolaos Sfakianakis, Maria Lukacova-Medvidova, Niklas Kolbe, 2014, 1408.0642.

A novel 3D atomistic-continuum cancer invasion model: In silico simulations of an in vitro organotypic invasion assay

M. Chaplain, N. Sfakianakis, L. Franssen, 2020, bioRxiv.

Modelling cell-cell collision and adhesion with the filament based lamellipodium model

C. Schmeiser, D. Peurichard, N. Sfakianakis, 2018, BIOMATH.

Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM

N. Sfakianakis, A. Brunk, Nikolaos Sfakianakis, 2018, Bulletin of Mathematical Biology.

Stability, convergence, and sensitivity analysis of the Filament Based Lamellipodium Model and the corresponding FEM

Nikolaos Sfakianakis, Aaron Brunk, N. Sfakianakis, 2018, 1801.09247.

Chemotaxis and Haptotaxis on Cellular Level

N. Sfakianakis, Niklas Kolbe, A. Brunk, 2016, 1612.02345.

Numerical Treatment of the Filament-Based Lamellipodium Model (FBLM)

C. Schmeiser, D. Oelz, A. Manhart, 2015, 1505.04266.

An extended Filament Based Lamellipodium Model produces various moving cell shapes in the presence of chemotactic signals.

C. Schmeiser, D. Oelz, A. Manhart, 2015, Journal of theoretical biology.

Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs

C. Surulescu, N. Sfakianakis, Niklas Kolbe, 2020, Multiscale Model. Simul..

A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix

Anotida Madzvamuse, Nikolaos Sfakianakis, M. Chaplain, 2018, Multiscale Model. Simul..

Mathematical Modelling of Cancer Invasion: A Review

M. Chaplain, N. Sfakianakis, Nikolaos Sfakianakis, 2021, Springer Proceedings in Mathematics & Statistics.

Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model

J. Giesselmann, M. Lukácová-Medvidová, Niklas Kolbe, 2017, 1704.08208.

A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix

Nikolaos Sfakianakis, Niklas Kolbe, Nadja Hellmann, 2015, 1505.04268.

Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation

Mark A. J. Chaplain, M. Chaplain, M. Lachowicz, 2023, J. Comput. Sci..

A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations

N. Sfakianakis, Niklas Kolbe, M. Lukáčová-Medvid’ová, 2016, Bulletin of Mathematical Biology.

Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model

M. Lukácová-Medvidová, N. Sfakianakis, Niklas Kolbe, 2016, 1605.05060.

A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations

Nikolaos Sfakianakis, Mária Lukáčová-Medvid’ová, Niklas Kolbe, 2016, Bulletin of mathematical biology.

A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix

N. Hellmann, N. Sfakianakis, Niklas Kolbe, 2016, Bulletin of the Brazilian Mathematical Society, New Series.

INVERSE MODELING OF THE DROSOPHILA GAP GENE SYSTEM: SPARSITY PROMOTING BAYESIAN PARAMETER ESTIMATION AND UNCERTAINTY QUANTIFICATION

M. Simon, N. Sfakianakis, Nikolaos Sfakianakis, 2013 .

Entropy dissipation of moving mesh adaptation

M. Lukácová-Medvidová, N. Sfakianakis, Nikolaos Sfakianakis, 2012, 1209.5009.

Adaptive mesh reconstruction: Total Variation Bound

N. Sfakianakis, Nikolaos Sfakianakis, 2009, 0908.4402.

Finite Difference schemes on non-Uniform meshes for Hyperbolic Conservation Laws

Nikolaos Sfakianakis, N. Sfakianakis, Nikolaos Sfakianakis, 2009 .

An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models

N. Sfakianakis, Niklas Kolbe, N. Kolbe, 2017, J. Comput. Appl. Math..

Energy intake functions and energy budgets of ectotherms and endotherms derived from their ontogenetic growth in body mass and timing of sexual maturation.

Nikolaos Sfakianakis, Alan D Rendall, E. Griebeler, 2018, Journal of theoretical biology.

Energy intake functions of ectotherms and endotherms derived from their body mass growth

E. Griebeler, A. Rendall, Jan Werner, 2016, 1611.09052.

The FBLM-FEM: from cell-cell adhesion to the cluster of cells and cell monolayers

Nikolaos Sfakianakis, 2018 .

A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework

Mark A. J. Chaplain, Nikolaos Sfakianakis, Dimitrios Katsaounis, 2024, bioRxiv.

Stochastic differential equation modelling of cancer cell migration and tissue invasion

Mark A. J. Chaplain, M. Chaplain, N. Sfakianakis, 2023, bioRxiv.