Search Results for author: P. G. Kevrekidis

Found 9 papers, 0 papers with code

Vaccination compartmental epidemiological models for the delta and omicron SARS-CoV-2 variants

no code implementations20 Apr 2023 J. Cuevas-Maraver, P. G. Kevrekidis, Q. Y. Chen, G. A. Kevrekidis, Y. Drossinos

We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants of the SARS-CoV-2 virus that caused the COVID-19 pandemic.

Backcasting COVID-19: A Physics-Informed Estimate for Early Case Incidence

no code implementations31 Jan 2022 G. A. Kevrekidis, Z. Rapti, Y. Drossinos, P. G. Kevrekidis, M. A. Barmann, Q. Y. Chen, J. Cuevas-Maraver

We leverage delay embedding theorems of Whitney and Takens and use Gaussian Process regression to estimate the number of cases during the first 2020 wave based on the second wave of the epidemic in several European countries, South Korea, and Brazil.

Modelling of spatial infection spread through heterogeneous population: from lattice to PDE models

no code implementations26 Oct 2021 A. Vaziry, T. Kolokolnikov, P. G. Kevrekidis

We present a simple model for the spread of an infection that incorporates spatial variability in population density.

Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment

no code implementations19 Oct 2021 Giulia L. Celora, Helen M. Byrne, P. G. Kevrekidis

We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel.

Statistical mechanics of one-dimensional quantum droplets

no code implementations25 Feb 2021 T. Mithun, S. I. Mistakidis, P. Schmelcher, P. G. Kevrekidis

We study the statistical mechanics and the dynamical relaxation process of modulationally unstable one-dimensional quantum droplets described by a modified Gross-Pitaevskii equation.

Quantum Gases Other Condensed Matter Pattern Formation and Solitons Atomic Physics Quantum Physics

Breather stripes and radial breathers of the two-dimensional sine-Gordon equation

no code implementations26 Jul 2020 P. G. Kevrekidis, R. Carretero-González, J. Cuevas-Maraver, D. J. Frantzeskakis, J. -G. Caputo, B. A. Malomed

We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation.

Pattern Formation and Solitons

Anisotropic Diffusion and Traveling Waves of Toxic Proteins in Neurodegenerative Diseases

no code implementations5 Jul 2020 P. G. Kevrekidis, Travis Thompson, Alain Goriely

Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins.

Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples

no code implementations9 May 2020 P. G. Kevrekidis, J. Cuevas-Maraver, Y. Drossinos, Z. Rapti, G. A. Kevrekidis

We examine the spatial modeling of the outbreak of COVID-19 in two regions: the autonomous community of Andalusia in Spain and the mainland of Greece.

Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories

no code implementations1 May 2020 Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P. G. Kevrekidis, Avadh Saxena

We find that, when suitably initialized, these models still feature the multi-bounce resonance windows earlier found in models in which the kinks bear exponential tails, such as the $\phi^4$ and $\phi^6$ field theories among others.

High Energy Physics - Theory Pattern Formation and Solitons

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