Stochastic Processes and Applications in Biology (Prof. Erwin Frey)
Lectures at Summer School "Systemic approaches to biological physics"
On this web-site, you can find additional material of the Lectures
"Stochastic Processes and Applications in Biology" as part of the Summer School
Systemic approaches to biological physics.
Lecture Notes
- Lectures 1 and 2:
Stochastic Processes: a short introduction
(These are by no means polished lecture notes. Almost certainly you will find some misprints.) - Lecture 3:
Generic Principles of Active Transport
Suggested reading: M. Mobilia et al., Generic principles of active transport (Review below) - Lecture 4:
The role of space and stochasticity in co-evolutionary dynamics
See also T. Reichenbach, M. Mobilia, and E. Frey, Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games, Nature (2007), and the other game theory papers listed below.
Review Articles
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Brownian motion: a paradigm of soft matter and biological physics
Authors/Editors: E. Frey
K. Kroy
Year: 2005 Publication Type: Review Articles Related Links -
Generic principles of active transport
Authors/Editors: M. Mobilia
T. Reichenbach
H. Hinsch
T. Franosch
E. Frey
Year: 2008 Publication Type: Review Articles Related Links
Original Articles
Evolutionary Game Theory:
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Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
Authors/Editors: T. Reichenbach
M. Mobilia
E. Frey
Year: 2007 Publication Type: Research Papers Related Links -
Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
Authors/Editors: T. Reichenbach
M. Mobilia
E. Frey
Year: 2006 Publication Type: Research Papers Related Links -
Anomalous finite-size effects in the Battle of the Sexes
Authors/Editors: J. Cremer
T. Reichenbach
E. Frey
Year: 2008 Publication Type: Research Papers Related Links
Generic principles of intracellular transport:
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Traffic jams induced by rare switching events in two-lane transport
Authors/Editors: T. Reichenbach
E. Frey
T. Franosch
Year: 2007 Publication Type: Research Papers Related Links -
Exclusion Processes with Internal States
Authors/Editors: T. Reichenbach
T. Franosch
E. Frey
Year: 2006 Publication Type: Research Papers Related Links -
Bulk-driven Non-equilibrium Phase Transitions in a Mesoscopic Ring
Authors/Editors: H. Hinsch
E. Frey
Year: 2006 Publication Type: Research Papers Related Links -
Bottleneck-induced transitions in a minimal model for intracellular transport
Authors/Editors: P. Pierobon
M. Mobilia
R. Kouyos
E. Frey
Year: 2006 Publication Type: Research Papers Related Links -
Driven lattice gas of dimers coupled to a bulk reservoir
Authors/Editors: P. Pierobon
T. Franosch
E. Frey
Year: 2006 Publication Type: Research Papers Related Links -
Dynamic correlation functions and Boltzmann Langevin approach for driven one dimensional lattice gas
Authors/Editors: P. Pierobon
A. Parmeggiani
F. von Oppen
E. Frey
Year: 2005 Publication Type: Research Papers Related Links -
Totally asymmetric simple exclusion process with Langmuir kinetics
Authors/Editors: A. Parmeggiani
T. Franosch
E. Frey
Year: 2004 Publication Type: External Publications Related Links -
Phase Coexistence in Driven One Dimensional Transport
Authors/Editors: A. Parmeggiani
T. Franosch
E. Frey
Year: 2003 Publication Type: External Publications Related Links