Monique Chyba - US grants
Affiliations: | Mathematics | University of Hawai'i at Manoa, Honolulu, HI |
Area:
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The funding information displayed below comes from the NIH Research Portfolio Online Reporting Tools and the NSF Award Database.The grant data on this page is limited to grants awarded in the United States and is thus partial. It can nonetheless be used to understand how funding patterns influence mentorship networks and vice-versa, which has deep implications on how research is done.
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High-probability grants
According to our matching algorithm, Monique Chyba is the likely recipient of the following grants.Years | Recipients | Code | Title / Keywords | Matching score |
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2003 — 2007 | Wilkens, George Chyba, Monique |
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information |
@ University of Hawaii In the design of controllers for governed physical processes, a central problem is to minimize a given quantity (time, amount of fuel, etc.) and to find a systematic way to characterize optimal trajectories. Due to technical and computational difficulties, it is impossible in most cases to find the optimal trajectories for a given criterion. In addition, often the situation is complicated by the existence of more than one quantity to be minimized. |
0.97 |
2006 — 2009 | Chyba, Monique | N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information |
Controllability of Mechanical Systems With Potential and External Forces @ University of Hawaii A very important class of control systems, even though they are non-generic, is the class of controlled mechanical systems. Examples of these systems include the planar rigid body with a single variable direction thruster, the snakeboard. Trajectory design problems for such systems are of particular interest in this project. The main application considered in this project is the control of a submerged rigid body. Clearly, this application is particularly well adapted to analysis, both due to the practical motivation coming from the recent trend to build autonomous underwater vehicles and for more mathematically oriented reasons. Indeed, an underwater vehicle can be modeled as a simple mechanical control system, with dissipative forces. A major goal is to establish a mathematical formulation of the switching time parametrization algorithm, developed in a previous work, based on the differential geometric properties of the system such as the notion of decoupling vector field. The key notions involved in this project are the ones of decoupling vector fields for invariant systems on a Lie group, and the notion of singular extremals coming from optimal control. Indeed, a recent observation concerns a possible relationship between singular extremals of order greater than 1 and decoupling vector fields. The goal is to develop a proper generalization for the notion of decoupling vector field for forced affine-connection control systems. |
0.97 |
2009 — 2015 | Ross, David (co-PI) [⬀] Manes, Michelle (co-PI) [⬀] Jovovic, Mirjana Chyba, Monique Guentner, Erik |
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information |
Super-M : School and University Partnership For Educational Renewal in Mathematics @ University of Hawaii ABSTRACT FOR THE NSF PROPOSAL GK-12: SUPER-M |
0.97 |
2011 — 2015 | Chyba, Monique | N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information |
Optimal Geometric Control For the Contrast Imaging Problem in Nuclear Magnetic Resonance @ University of Hawaii Recent experimental projects in quantum control using finite-dimensional systems as the control of spin systems in nuclear magnetic resonance and references therein) are motivating new theoretical studies in the case where the system interacts with its environment. The primary objective of the proposed research is to apply techniques of geometric optimal control theory to the control of the spin dynamics by magnetic fields in Nuclear Magnetic Resonance (NMR). Through interaction with a magnetic field, NMR involves the manipulation of nuclear spins. It has many potential applications extending from the determination of molecular structures (NMR spectroscopy) and quantum computing, where NMR remains one of the most promising road in the construction of a scalable quantum computer, to medical imagery (MRI). The control technology developed over the past 50 years allows the use of sophisticated control fields and permits the implementation of complex quantum algorithms such as the Deutsh-Jozsa and the Grover algorithms. NMR is therefore an ideal experimental testbed for quantum control. The proposed research will also impact the domain of quantum mechanics. First, solving the contrast imaging problem can potentially have a profound impact on how medical imaging is done in hospitals. Indeed, by designing magnetic fields to maximize the distance between the two spin we increase the image resolution and therefore improve its quality which improves patient care. Second, by using geometric techniques our approach will complement existing efficient numerical tools for pulse sequence optimization, such as the GRAPE (gradient ascent pulse engineering) by providing an understanding of the qualitative structures of the dynamics of the system. In particular, the physicists will gain insight about the control mechanism that lead to the optimal solutions. |
0.97 |
2020 — 2021 | Chyba, Monique Mileyko, Yuriy (co-PI) [⬀] Koniges, Alice |
N/AActivity Code Description: No activity code was retrieved: click on the grant title for more information |
Rapid: Modeling Covid-19 Transmission and Mitigation Using Smaller Contained Populations @ University of Hawaii In the midst of the COVID-19 pandemic the state of Hawaii, being an archipelago, is in an exclusive position to carry out measures no other state could do ? it essentially sealed its borders to virtually all travel-related infections including inter-island ones by instituting a two-week quarantine of incoming air, water, and inter-island passengers, thus providing a critical data set that can help researchers understand the spread of the virus and the effectiveness of mitigation and isolation strategies. Hawaii also tracks the currently limited arrivals onto the various islands, and this collection of information will continue as mitigation levels change. This project will use the unique data from Hawaii to provide a predictive understanding of the virus through modeling of spread and mitigation effects, focusing on a critical gap in understanding variability of COVID-19 spread within different communities and a lack of dynamic modeling. Incorporation of data sets from a controlled environment will greatly enhance predictive understanding and enable mitigation approaches with better certainty based on real data. The project will use advanced computational techniques to make the models run efficiently and make them readily available to the public and decision makers involved in the COVID-19 response strategy. |
0.97 |