Johannes Knebel
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View article: Topological Phase Transition in Coupled Rock-Paper-Scissors Cycles
Topological Phase Transition in Coupled Rock-Paper-Scissors Cycles Open
A hallmark of topological phases is the occurrence of topologically protected modes at the system's boundary. Here, we find topological phases in the antisymmetric Lotka-Volterra equation (ALVE). The ALVE is a nonlinear dynamical system an…
View article: Topologically robust zero-sum games and Pfaffian orientation: How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation
Topologically robust zero-sum games and Pfaffian orientation: How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation Open
To explore how the topology of interaction networks determines the robustness\nof dynamical systems, we study the antisymmetric Lotka-Volterra equation\n(ALVE). The ALVE is the replicator equation of zero-sum games in evolutionary\ngame th…
View article: Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations
Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations Open
We prove a mean-field equation for the dynamics of quorum-sensing microbial populations. In the stochastic many-particle process, individuals of a population produce public good molecules to different degrees. Individual production is meta…
View article: Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers Open
Autoinducers are small signaling molecules that mediate intercellular communication in microbial populations and trigger coordinated gene expression via ‘quorum sensing’. Elucidating the mechanisms that control autoinducer production is, t…
View article: Author response: Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
Author response: Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers Open
Article Figures and data Abstract eLife digest Introduction Set-up of the quorum-sensing model Results of numerical simulations Results of mathematical analysis Discussion Materials and methods Appendix 1 Appendix 2 Appendix 3 References D…