activity
20092023
most citedCoarse-scale PDEs from fine-scale observations via machine learning

72 citations · 107 across the 10 of their papers we have counts for

collaborators

10 papers

math.DS2023★ 3 cited

Numerical Bifurcation Analysis of Turing and Symmetry Broken Patterns of a Vegetation PDE Model

Konstantinos Spiliotis, Lucia Russo, Francesco Giannino +1

We study the mechanisms of pattern formation for vegetation dynamics in water-limited regions. Our analysis is based on a set of two partial differential equations (PDEs) of reacti…

math.DS2021

Optimal vaccine roll-out strategies with respect to social distancing measures for SARS-CoV-2 pandemic

Konstantinos Spiliotis, Constantinos Chr. Koutsoumaris, Andreas Reppas +2

Non-pharmacological interventions (NPIs), and in particular social distancing, in conjunction with the advent of effective vaccines at the end of 2020, aspired for the development…

q-bio.NC2021

A biophysical network model reveals the link between deficient inhibitory cognitive control and major neurotransmitter and neural connectivity hypotheses in schizophrenia

Konstantinos Spiliotis, Giannis Kahramanoglou, Jens Starke +2

We address a biophysical network dynamical model to study how the modulation of dopamine (DA) activity and related N-methyl-d-aspartate (NMDA) glutamate receptor activity as well a…

q-bio.NC2020

Deep brain stimulation for movement disorder treatment: Exploring frequency-dependent efficacy in a computational network model

Konstantinos Spiliotis, Jens Starke, Denise Franz +2

A large scale computational model of the basal ganglia (BG) network is proposed to describes movement disorder including deep brain stimulation (DBS). The model of this complex net…

math.NA2019★ 2 cited

Analytical and Numerical Bifurcation Analysis of a Forest-Grassland Ecosystem Model with Human Interaction

Konstantinos Spiliotis, Lucia Russo, Francesco Giannino +1

We perform both analytical and numerical bifurcation analysis of a forest-grassland ecosystem model coupled with human interaction. The model consists of two nonlinear ordinary dif…

cs.LG2019★ 72 cited

Coarse-scale PDEs from fine-scale observations via machine learning

Seungjoon Lee, Mahdi Kooshkbaghi, Konstantinos Spiliotis +2

Complex spatiotemporal dynamics of physicochemical processes are often modeled at a microscopic level (through e.g. atomistic, agent-based or lattice models) based on first princip…

cs.SI2014★ 13 cited

Tuning the average path length of complex networks and its influence to the emergent dynamics of the majority-rule model

Andreas I. Reppas, Konstantinos Spiliotis, Constantinos I. Siettos

We show how appropriate rewiring with the aid of Metropolis Monte Carlo computational experiments can be exploited to create network topologies possessing prescribed values of the…

cs.SI2011★ 9 cited

On the effect of the path length and transitivity of small-world networks on epidemic dynamics

Andreas I. Reppas, Konstantinos Spiliotis, Constantinos Siettos

We show how one can trace in a systematic way the coarse-grained solutions of individual-based stochastic epidemic models evolving on heterogeneous complex networks with respect to…

cs.SI2010

Coarse-Grained Analysis of Microscopic Neuronal Simulators on Networks: Bifurcation and Rare-events computations

Konstantinos G. Spiliotis, Constantinos I. Siettos

We show how the Equation-Free approach for mutliscale computations can be exploited to extract, in a computational strict and systematic way the emergent dynamical attributes, from…

cs.CE2009★ 8 cited

Multiscale Computations on Neural Networks: From the Individual Neuron Interactions to the Macroscopic-Level Analysis

Konstantinos G. Spiliotis, Constantinos I. Siettos

We show how the Equation-Free approach for multi-scale computations can be exploited to systematically study the dynamics of neural interactions on a random regular connected graph…