Andreas Koher, M.Sc.
- © TU Berlin
||Institute of Theoretical
|Room:||ER 240 (Ernst Ruska
|Address:||Sekr. EW 7-1|
Institut für Theoretische Physik
Technische Universität Berlin
D-10623 Berlin, Germany
Fields of interest
- (Temporal) network analysis
- Stochastik processes with application to intra-cellular transport and disease spreading
- Nonlinear dynamics and epidemiological models
Effective distances and disease spreading on complex networks
- © CC BY-SA 3.0
Forecast and control of global epidemic outbreaks such as SARS (2003), H1N1 (2009) and Ebola (2014) remains a major challenge to public health institutions. One of the most relevant information for containment strategies is the time until the first infected individual arrives at a specific place. Due to the complex nature of human mobility, however, the spreading patterns of infectious diseases in geographical space appears erratic and unpredictable. Here, we provide a mathematical framework from the perspective of random-walk theory that allows us to uncover the close connection between a simple diffusion process and epidemics spreading on complex networks. In particular, we find that the infection arrival time at every node in the network can be estimated by the hitting time probability of a random walker that started at the outbreak location. Detailed numerical simulations on the global air-traffic network confirm our results.
For more information, you can read our publication , view our poster  and slides  from the NetSci 2016 conference or play around with our code  on GitHub.
Disease Spread through Animal Movements: A Static and Temporal Network Analysis of Pig Trade in Germany
- © CC BY-SA 3.0
Animal trade plays an important role for the spread of infectious diseases in livestock populations. The central question of this work is how infectious diseases can potentially spread via trade in such a livestock population. We address this question by analyzing the underlying network of animal movements. In particular, we consider pig trade in Germany, where trade actors (agricultural premises) form a complex network. For more information, please check our publication on PlosOne . Interactive visualisations of the German pig trade network by Lukas Kikuchi can be found here: 1 , 2 , 3 , 4 .
Transport on lattices with dynamic and static disorder
- © CC BY-SA 3.0
We analyse diffusive transport on a lattice with static and fluctuating bonds, which generalizes two well known results: We recover Kirkpatrick 's (1973) famous result on static bond percolation and the dynamic percolation model of Harrison and Zwanzig  (1985), respectively. Our model of mixed percolation allows to study diffusivity in dynamically changing environments close to the percolation threshold. The effective medium approximation provides a close estimate of the diffusivity that we obtain from extensive Monte-Carlo simulations.
Slides from the DPG spring meeting 2017 can be downloaded here .
Infections on Temporal Networks - A Matrix-Based Approach
- © PlosOne
We extend the concept of accessibility in temporal networks from Lentz et al.  to model infections with a finite infectious period such as the susceptible-infected-recovered (SIR) model. This approach is entirely based on elementary matrix operations and unifies the disease and network dynamics within one algebraic framework. We demonstrate the potential of this formalism for three examples of networks with high temporal resolution: networks of social contacts, sexual contacts, and livestock-trade.
For more information, you can download the publication , view our poster  and play around with the code  on GitHub.
|Paper 2017 not found in database!|
|Paper 2016 not found in database!|
|Paper 2013 not found in database!|
|Paper 2010 not found in database!|