Sentence examples for cusp model from inspiring English sources

The rate constants k A1– D (F) and k A2– D (F) were modeled using the DHS rate equation specifically the cusp model (10), (4) k (F ) = k (0 ) [ 1 − F x u 2 G ‡ (0 ) ] exp [ G ‡ (0 ) k B T { 1 − (1 − F x u 2 G ‡ (0 ) ) 2 } ], where k(0) is the usual Kramer's unfolding rate in the absence of force, and G‡(0) and x u are the zero force barrier height and transition state distance, respectively.

This paper demonstrates the possibility of developing a pro-active network screening tool that estimates the crash rate using a stochastic cusp catastrophe model with the two-fluid model's parameters as inputs.

This paper provides a renewed perspective on drivers of withdrawal and application of cusp catastrophe model in construction project dispute negotiation.

Combing the effects of both the ratio and throttle coefficient, the hysteresis behaviors of compressor stall under multi-parameters can be found to be consistent with the topological properties of cusp catastrophic model by Thom's catastrophe theory.

Finally, according to topological invariant rules, from the perspective of potential function, the equilibrium surface equation of compressor system is developed by standard cusp catastrophic model to describe the various hysteresis behaviors of compressor rotating stall along different control routes.

The validity of these theoretical analyses has been confirmed by a diaphragm air spring experiment, which has shown that the characteristics of these systems can be described by the cusp catastrophe model.

An important finding is that the catastrophic characteristic index D (i.e., the bifurcation set of the cusp catastrophe model) drastically increases to a high peak value and then quickly drops close to instability.

With the three behavioral primers, (1) motivation, (2) cognition, and (3) personality that have been identified as withdrawal triggers, six cusp catastrophe models of withdrawal are developed.

These include self-organized behavior of beach morphology, the fractal nature of ocean surface gravity waves, the self-organization of beach cusps and simulation models of ripples and dune patterns.

We tested a range of nodal constraint quantity from a single node to ∼65 nodes (covering the entire cusp) using six models (Table S6).

Attempts have been made to model cusps according to activator-inhibitor patterning mechanisms; however, whether individual candidates can be classed as activators or inhibitors during tooth development is largely stage dependent [ 21, 25- 27].