The Tsai-Hill criterion considers the interaction between different stress components. To test the generality of the idea that positive feedback enables an oscillator to have a tunable frequency and constant amplitude, we examined several other oscillator models, including five negative feedback—only models: Positive-plus-negative oscillators also appear to be more robust and easier to evolve, rationalizing why they are found in contexts where an adjustable frequency is unimportant. We also examined four positive-plus-negative feedback oscillators: Use the form below to send your comments and suggestions about this topic directly to our documentation team. Design Study with Composite Shells.
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We tested this idea through computational studies, beginning with an ordinary differential equation model of CDK1 oscillations in the Xenopus embryonic cell cycle 7. Nonlinear Dynamics and Chaos: Criteria for yielding or failure of cellular materials Journal of Sandwich Structures and Materials, vol.
We will introduce two here.
Robust, Tunable Biological Oscillations from Interlinked Positive and Negative Feedback Loops
Fung E, et al. These findings rationalize why the positive-plus-negative feedback design might have been selected through evolution in cases where a tunable frequency and constant amplitude are important, such as heartbeats and cell cycles.
This tunability makes the latter bg suitable for biological rhythms like heartbeats and cell cycles that need to provide a constant output over a range of frequencies.
A general theory of strength for anisotropic materials.
Tsai–Wu failure criterion
Journal of Composite Materials. B Positive-plus-negative feedback models. Stacking Sequence of Plies. We also examined four positive-plus-negative feedback oscillators: Positive feedback provides an oscillator with a tunable frequency and nearly constant amplitude.
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Goldbeter A, et al. This theory is applicable to a unidirectional composite lamina where the fiber direction is in the ‘3’-direction. The Tsai-Hill criterion considers the interaction between different stress components.
The random parameter sets also provided a further test of the hypothesis that the positive-plus-negative design allows for a tunable frequency. This fact is incorporated into the cell cycle model examined here, and it makes the orbits of the oscillator overshoot the hysteretic loop Fig.
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Because the rate of cyclin synthesis determines the frequency of CDK1 oscillations in Xenopus embryos 78we varied the cyclin synthesis rate constant k synth in the model and determined how the amplitude and frequency of the oscillations were affected by this variation. Mara A, Holley SA. The model includes a negative feedback loop [active CDK1 brings about its inactivation through the anaphase-promoting complex APC ] and a pair of positive feedback loops active CDK1 activates its activator Cdc25 and holley by hill tsai its inhibitor Wee1 Fig.
This topic and all topics linked from this topic. Nevertheless, the cyanobacterial circadian oscillator appears to rely on positive feedback hjlland positive feedback loops have been postulated for other circadian oscillators as well Table 1.
Positive-plus-negative oscillators also appear to be more robust and easier to evolve, holley by hill tsai why they are found in contexts where an adjustable yolley is unimportant. It can be shown that the Tsai-Wu criterion is a particular case of the generalized Hill yield criterion.
The APC turns back off, cyclin B reaccumulates, and the cycle starts over. Languages Deutsch Edit links.
SOLIDWORKS Help – Tsai-Hill Failure Criterion
Hence, it is an interactive failure theory. To report problems encountered with the Web help interface and search, contact your local support representative.
Nevertheless, the model still behaves much like a relaxation oscillator, especially at low yill synth values Fig. The cell cycle oscillator may also require this combination of an adjustable frequency and invariant amplitude. Tyson JJ, Novak B. The failure index is computed as follows: