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Statistical mechanical approaches to models with many poorly known parameters.
  • K. S. Brown, J. Sethna
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 12 August 2003
Models of biochemical regulation in prokaryotes and eukaryotes, typically consisting of a set of first-order nonlinear ordinary differential equations, have become increasingly popular of late. TheseExpand
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Crackling noise
Crackling noise arises when a system responds to changing external conditions through discrete, impulsive events spanning a broad range of sizes. A wide variety of physical systems exhibitingExpand
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Abrupt buckling transition observed during the plectoneme formation of individual DNA molecules.
The response of single DNA molecules to externally applied forces and torques was directly measured using an angular optical trap. Upon overwinding, DNA buckled abruptly as revealed by a sharpExpand
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Parameter Space Compression Underlies Emergent Theories and Predictive Models
Information Physics Multiparameter models, which can emerge in biology and other disciplines, are often sensitive to only a small number of parameters and robust to changes in the rest; approachesExpand
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Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
In the high-transition-temperature (high-Tc) superconductors the pseudogap phase becomes predominant when the density of doped holes is reduced. Within this phase it has been unclear which electronicExpand
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Coulomb blockade and the Kondo effect in single-atom transistors
Using molecules as electronic components is a powerful new direction in the science and technology of nanometre-scale systems. Experiments to date have examined a multitude of molecules conducting inExpand
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Geometry of nonlinear least squares with applications to sloppy models and optimization.
Parameter estimation by nonlinear least-squares minimization is a common problem that has an elegant geometric interpretation: the possible parameter values of a model induce a manifold within theExpand
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Universal properties of the transition from quasi-periodicity to chaos
Monitoring the peak temperature of a moving mass, such as a flowing stream of molten material, has in the past been plaqued with problems. Expand
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Sloppy-model universality class and the Vandermonde matrix.
In a variety of contexts, physicists study complex, nonlinear models with many unknown or tunable parameters to explain experimental data. We explain why such systems so often are sloppy: the systemExpand
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