This page contains a brief summary of my group's current research activities, broken up into the three main areas. More information is available on the individual project pages below and also in the recent publications from my group.
Analysis and Design of Biomolecular Feedback Systems
Feedback systems are a central part of natural biological systems and an important tool for engineering biocircuits that behave in a predictable fashion. The figure at the right gives a brief overview of the approach we are taking to both synthetic and systems biology. There are three main elements to our research:
- Modeling and analysis - we are working to develop rigorous tools for analyzing the phenotype of complex biomolecular systems based on data-driven models. We are particularly interested in systems involving feedback, since causal reasoning often fails in these systems due to the interaction of multiple components and pathways. Work in this are includes system identification, theory for understanding the role of feedback, and methods for building and analyzing models built using high-throughput datasets.
- In vitro testbeds - we are making use of both transcriptional expression systems and protein expression systems to develop "biomolecular breadboards" that can be used to characterize the behavior of circuits in a systematic fashion as part of the design process. Our goal is to help enable rapid prototyping and debugging of biomolecular circuits that can operate either in vitro or in vivo.
- Biocircuit design - engineered biological circuits required a combination of system-level principles, circuit-level design and device technologies in order to allow systematic design of robust systems. We are working on developing new device technologies for fast feedback as well as methods for combining multiple feedback mechanisms to provide robust operation in a variety of contexts. Our goal is to participate in the development of systematic methods for biocircuit design that allow us to overcome current limitations in device complexity for synthetic biocircuits.
- Model-guided Discovery and Optimization of Cell-based Sensors (ONR MURI)
- Biomolecular Breadboards for Prototyping and Debugging Synthetic Biocircuits (DARPA)
- Programmable Molecular Technology Initiative (GBMF)
- Molecular Programming Project (NSF)
- Biomolecular Feedback Circuits for Modular, Robust and Rapid Response (ARO ICB)
- Networked Feedback Systems in Biology (ARO ICB)
- Performance Metrics for a Biomolecular Step Response, Shaunak Sen and Richard M. Murray. Conference on Decision and Control (CDC), 2012.
- Timing molecular motion and production with a synthetic transcriptional clock, E. Franco, E. Friedrichs, J. Kim, R. Jungmann, R. Murray, E. Winfree, F. C. Simmel. Proceedings of the National Academy of Science (PNAS), 2011.
- Controlling biological networks by time-delayed signals, Gabor Orosz, Jeff Moehlis, Richard M Murray. Philosophical Transactions of the Royal Society - A, 368(1911):439-454, 2009.
Design of Reactive Protocols for Networked Control Systems
The area of networked control systems has emerged in the last several years and seeks to combine some of the insights from computer science and control to allow analysis and design of systems that consist of distributed computation connected together across a network. One example of the architecture for such a system is shown to the right. We are working on a number of areas related to developing fundamental theory that can be applied across a range of networked control systems:
- Automatic synthesis of control protocols: Next generation networked control systems must also be (at least partly) designed for verification, since it will not be possible to analyze systems of this complexity without structure the design to allow verification tools to be applied. The use of "correct by construction" design methods is one path that shows promise for automatically synthesizing control protocols given a set of specifications describing the required behavior. Preliminary results have demonstrated some possible ways to do this for hybrid systems with nonlinear dynamics and event-driven operations, building on tools developed in the model checking community.
- Distributed resource allocation: networked control systems often required allocation of shared resources using distributed computation and control. We are interested in how to design algorithms that can be used to allocate power, communications and computing resources to maintain overall properties of the system without violating local constraints.
- Design of information flows: Networked control systems include complicated interconnections between subsystems, with nonlinearities and time delays as integral elements of the system model. How do we analyze stability and performance of this class of systems in a way that exploits the structure of the interactions? How do we design the information flows and other elements of the system to obtain desired behavior in the presence of uncertainty?
- Correct-by-Construction Synthesis of Control Protocols for Aerospace Systems (Boeing)
- Distributed Sense and Control Systems (MuSyC)
- Distributed Synthesis of Control Protocols for Smart Camera Networks, Necmiye Ozay, Ufuk Topcu, Tichakorn Wongpiromsarn, Richard M. Murray. ACM/IEEE Second International Conference on Cyber-Physical Systems, 2011.
- Receding Horizon Temporal Logic Planning, Tichakorn Wongpiromsarn, Ufuk Topcu, Richard M Murray. IEEE Transactions on Automatic Control, 2012.
- Autonomous Driving in Urban Environments: Approaches, Lessons and Challenges, Mark Campbell, Magnus Egerstedt, Jonathan P How, Richard M Murray. Philosophical Transactions of the Royal Society - A, 368(1928):4649-4672, 2010.