Morrison, Megan J

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VCU Scholars Compass

Virginia Commonwealth University VCU Scholars Compass Biology and Medicine Through Mathematics Conference Nonlinear control of biological dynamical systems Megan J. Morrison University of Washington - Seattle Campus, mmtree@uw.edu Follow this and additional works at: https://scholarscompass.vcu.edu/bamm  Part of the Biochemistry, Biophysics, and Structural Biology Commons, Computational Neuroscience Commons, and the Systems Neuroscience Commons https://scholarscompass.vcu.edu/bamm/2020/talk/40 This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For more information, please contact libcompass@vcu.edu. Nonlinear control of biological dynamical systemsMegan Morrison and Nathan KutzFebruary 2020AbstractNetworks in nature regularly exhibit dynamics that are difficult to character-ize and control due to their nonlinear nature, stochasticity, and use of obscurecontrol signals. These systems are often marked by low-dimensional dynam-ics, multiple stable fixed points or attractors, and outputs that are generatedfrom nonlocalized network activity. We develop a procedure for characterizinghigh-dimensional network systems with transparent, low-dimensional modelsand controlling them with nonlinear control signals. After using the SINDyalgorithm to fit a low-dimensional model to our data, we use bifurcation theoryto find collections of constant control signals that will produce the desired ob-jective path and then project the control signals back to the original networkspace. We first illustrate our nonlinear control procedure on established bistable,low-dimensional biological systems, showing how control signals are found thatgenerate switches between the fixed points. We demonstrate our control pro-cedure for high-dimensional systems on random high-dimensional networks andHopfield networks — a model for memory in humans.1

Nonlinear control of biological dynamical systems

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1370&amp;context=bamm

Nonlinear control of biological dynamical systems

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