Proceedings of the National Academy of Sciencesâ€¦

2009

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations.â€¦ (More)

Automated particle transport using optical tweezers requires the use of motion planning to move the particle while avoiding collisions with randomly moving obstacles. This paper describes aâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2007

We present a feedback control scheme to stabilize unstable cellular patterns during the directional solidification of a binary alloy. The scheme is based on local heating of cell tips which protrudeâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2012

Boolean networks are discrete dynamical systems in which the state (0 or 1) of each node is updated at each time t to a state determined by the states at time t-1 of those nodes that have links toâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2014

We study the stability of orbits in large Boolean networks. We treat the case in which the network has a given complex topology, and we do not assume a specific form for the update rules, which mayâ€¦ (More)

Title of dissertation: NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS: ACTIN NETWORKS AND GENE NETWORKS Andrew Pomerance, Doctor of Philosophy, 2009 Dissertation directed by: Professor Wolfgang Losertâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2009

Motivated by its relevance to various types of dynamical behavior of network systems, the maximum eigenvalue lambdaA of the adjacency matrix A of a network has been considered and mean-field-typeâ€¦ (More)