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- Publications
- Influence

The effect of network topology on the stability of discrete state models of genetic control

- A. Pomerance, E. Ott, M. Girvan, W. Losert
- Mathematics, Medicine
- Proceedings of the National Academy of Sciences
- 27 January 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.… Expand

Developing a Stochastic Dynamic Programming Framework for Optical Tweezer-Based Automated Particle Transport Operations

- A. Banerjee, A. Pomerance, W. Losert, S. Gupta
- Computer Science
- IEEE Transactions on Automation Science and…
- 1 April 2010

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 a… Expand

Stability of Boolean networks: the joint effects of topology and update rules.

- S. Squires, A. Pomerance, M. Girvan, E. Ott
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 4 October 2013

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 may… Expand

Approximating the largest eigenvalue of the modified adjacency matrix of networks with heterogeneous node biases.

- E. Ott, A. Pomerance
- Medicine, Mathematics
- Physical review. E, Statistical, nonlinear, and…
- 9 February 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-type… Expand

Combining Machine Learning with Knowledge-Based Modeling for Scalable Forecasting and Subgrid-Scale Closure of Large, Complex, Spatiotemporal Systems

- Alexander Wikner, Jaideep Pathak, +5 authors Ed Ott
- Medicine, Mathematics
- Chaos
- 10 February 2020

We consider the commonly encountered situation (e.g., in weather forecast) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to… Expand

Forecasting Chaotic Systems with Very Low Connectivity Reservoir Computers

- Aaron M. Griffith, A. Pomerance, D. Gauthier
- Mathematics, Computer Science
- Chaos
- 1 October 2019

We explore the hyperparameter space of reservoir computers used for forecasting of the chaotic Lorenz '63 attractor with Bayesian optimization. We use a new measure of reservoir performance, designed… Expand

Actin Polymerization in a Thermal Gradient

- A. Pomerance, J. A. Matthews, M. Ferguson, J. Urbach, W. Losert
- Materials Science
- 1 July 2005

Actin polymerization was studied as a function of temperature and in controlled thermal gradients. In the absence of a thermal gradient, we observe a polymerization transition with a temperature… Expand

Feedback control of unstable cellular solidification fronts.

- A. J. Pons, A. Karma, +4 authors W. Losert
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 15 August 2006

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 protrude… Expand

Stability of Boolean networks with generalized canalizing rules.

- A. Pomerance, M. Girvan, Ed Ott
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 3 October 2009

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 to… Expand

The Joint Effect of Network Topology and Update Functions on the Stability of Boolean Networks

- S. Squires, A. Pomerance, E. Ott, M. Girvan
- Computer Science
- 22 March 2013