Networks composed of vertices (or nodes) and edges (or links) provide a general framework for the representation of many different systems. First, any system with a discrete state space can be viewed as a network, in which the vertices represent the different states of the system and the edges correspond to possible transitions between these states. One example is provided by network representations of molecular motors. [1] [2] Second, composite systems that consist of many different but similiar components can also be viewed as networks, in which the vertices represent the different components and the edges correspond to "interactions" between these components. In general, the different components of the system can attain several internal states that evolve with time. The simplest case is provided by binary variables that can be active or inactive. [3] [4] At any given time, the state of the composite system is then characterized by an activity pattern of the network, and the system's dynamics is described by the time evolution of this pattern. Depending on the inital pattern, the system will reach one of the dynamical attractors that govern the system's long-time behavior. |
Sequences of phase transitions in Ising models on correlated networks.
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Chemomechanical coupling and motor cycles of myosin V.
Biophys. J. 100, 1747-1755 (2011).
Asymptotic properties of degree-correlated scale-free networks.
Phys. Rev. E 81, 046103 (2010).
Impact of slip cycles on the operation modes and efficiency
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Dynamical processes on dissortative scale-free networks.
EPL 89, 18002 (2010).
Energy conversion by molecular motors coupled to
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Kinesin's network of chemomechanical motor cycles.
Kinesin's network of chemomechanical motor cycles - Appendices.
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Steady-state balance conditions for molecular motor cycles and stochastic nonequilibrium
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EPL 77, 50002 (2007).
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Dynamic pattern evolution on scale-free networks.
Dynamic pattern evolution on scale-free networks - Supporting Information.
PNAS 102, 10052 - 10057 (2005).
Network Brownian Motion: A New Method to Measure Vertex-Vertex
Proximity and to Identify Communities and Subcommunities.
Lecture
Notes Comp. Science 3038, 1062-1069 (2004).
'Life is Motion': Multiscale motility of molecular motors.
Physica A 352, 53-112, (2005).
Universal aspects of the chemo-mechanical coupling for molecular
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