Collaborative Proposal: NCR-Circuit Dynamics
Collaborative Proposal: NCR-Circuit Dynamics
批准号:
0443827
负责人:
Konstantin Mischaikow
金额:
$0.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2005
资助国家:
美国
项目状态:
已结题
起止时间:
2005-05-15 至 2007-02-28
中文摘要
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英文摘要
Using a combinatorial decomposition of a genetic regulatory network into sub-networks and harnessing the versatility of yeast to encode each of these as a separate strain, this research will dissect, deconvolve and decipher the dynamics of nitrogen catabolite repression. Based on detailed measurements using transcription factor fusion proteins, live cell imaging, and quantitative measurement of transcription rate, the investigors will develop precise models of the dynamical behavior of the complex yeast network. Quantitative models will provide a platform for for the discovery of mathematical theorems, that relate the structure of genetic circuits to their dynamics and function. This theory in turn will allow a study of the robustness of the circuit with respect to parameters and its output. The mathematical theory that will be developed will, among other things, allow researchers to streamline simulations of large biological networks. In recent years there has been a growing awareness of the connections between biological organisms and engineering systems. There are networks of genes that control and regulate the behavior of other genes and ultimately all biological processes. These networks of genes are analogous to electrical circuits and switches. There has been an expanding willingness and desire to use mathematical and computational techniques to leverage all existing information regarding the structure of biological control circuitry to understand the basic rules on which they are predicated and to acquire the ability to predict their output. Understanding the dynamics of such networks promises revolutionary changes in the treatment of human diseases as well as providing insight for the development of a new generations of robust electronic and digital devices. This project will have a significant impact on graduate education and on recruitment of mathematics graduate students for interdisciplinary scientific work as well as the recruitment of biology, computer science and medical students into the interdisciplinary and emerging field of biomedical informatics.
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Topological and Rigorous Computational Methods for High Dimensional Dynamics
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批准号:1841324
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项目类别:Standard Grant
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资助金额:$1.2万
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财政年份:2019
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负责人:Konstantin Mischaikow
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依托单位:
Tripods+X:Res: Collaborative Research: Identification of Gene Regulatory Network Function from Data
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批准号:1839294
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项目类别:Standard Grant
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资助金额:$19.0万
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财政年份:2018
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative Research: Revealing the Geometry of Spatio-temporal Chaos with Computational Topology: Theory, Numerics and Experiment
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批准号:1622401
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项目类别:Standard Grant
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资助金额:$12.0万
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财政年份:2016
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative Research: Computational and Data-Enabled Science and Engineering: Characterizing Dynamics of Particle-based Systems
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批准号:1521771
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项目类别:Standard Grant
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资助金额:$12.5万
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财政年份:2015
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负责人:Konstantin Mischaikow
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依托单位:
INSPIRE: Nonlinear Data Reduction applied to Dense Granular Media
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批准号:1248071
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项目类别:Standard Grant
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资助金额:$45.0万
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财政年份:2012
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负责人:Konstantin Mischaikow
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依托单位:
CDI-TYPE II--COLLABORATIVE RESEARCH: Using Algebraic Topology to Connect Models with Measurements in Complex Nonequilibrium Systems
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批准号:1125174
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项目类别:Standard Grant
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资助金额:$70.4万
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财政年份:2011
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative proposal: Computing Dynamics of Multiparameter Systems
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批准号:0915019
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项目类别:Continuing Grant
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资助金额:$27.57万
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财政年份:2009
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负责人:Konstantin Mischaikow
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依托单位:
CDI-Type II: Collaborative Research: Computational Homology, Jamming, and Force Chains in Dense Granular Flows
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批准号:0835621
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项目类别:Standard Grant
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资助金额:$58.81万
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财政年份:2008
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative Proposal: NCR-Circuit Dynamics
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批准号:0650289
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项目类别:Standard Grant
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资助金额:$12.42万
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财政年份:2006
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative Research: Topological Methods for the Study of Nonlinear Infinite Dimensional Systems
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批准号:0638131
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项目类别:Standard Grant
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资助金额:$0.0万
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财政年份:2006
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负责人:Konstantin Mischaikow
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依托单位:
Collaborative Research: Topological Methods for the Study of Nonlinear Infinite Dimensional Systems
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批准号:0511115
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项目类别:Standard Grant
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资助金额:$14.06万
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财政年份:2005
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负责人:Konstantin Mischaikow
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依托单位:
U.S.-Japan Cooperative Science: Topological Methods in Nonlinear Dynamics
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批准号:0089631
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项目类别:Standard Grant
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资助金额:$3.87万
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财政年份:2001
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负责人:Konstantin Mischaikow
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依托单位:
Dispersion in Spacio-Temporally Heterogeneous Environments
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批准号:0107396
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项目类别:Continuing Grant
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资助金额:$15.3万
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财政年份:2001
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负责人:Konstantin Mischaikow
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依托单位:
U.S.-Germany Cooperative Research: The Design of Spacecraft Trajectories
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批准号:9910027
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项目类别:Standard Grant
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资助金额:$2.0万
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财政年份:2000
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负责人:Konstantin Mischaikow
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依托单位:
Topological Methods in Dynamics
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批准号:9804459
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项目类别:Fellowship Award
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资助金额:$4.98万
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财政年份:1998
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负责人:Konstantin Mischaikow
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依托单位:
Computational Topology for Dynamics
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批准号:9805584
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项目类别:Standard Grant
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资助金额:$9.2万
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财政年份:1998
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负责人:Konstantin Mischaikow
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依托单位:
The Third Americas Conference on Differential Equations and Nonlinear Analysis to be held September 9-13, 1998, in Atlanta, Georgia
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批准号:9805757
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项目类别:Standard Grant
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资助金额:$1.5万
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财政年份:1998
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负责人:Konstantin Mischaikow
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依托单位:
U.S.-Mexico Cooperative Research: Some Theoretical and Numerical Problems in Differential Equations
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批准号:9602947
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项目类别:Standard Grant
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资助金额:$2.48万
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财政年份:1997
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负责人:Konstantin Mischaikow
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依托单位:
Mathematical Sciences: Numerics for Dynamics
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批准号:9505116
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项目类别:Standard Grant
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资助金额:$6.79万
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财政年份:1995
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负责人:Konstantin Mischaikow
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依托单位:
U.S.-Japan Cooperative Research: Topological and Singular Perturbation Methods with Applications to Nonlinear Differential Equations
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批准号:9315117
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项目类别:Standard Grant
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资助金额:$1.24万
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财政年份:1994
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负责人:Konstantin Mischaikow
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依托单位:
海外基金