In 1956, Duncan first presented the economic design of x control chart and formulated its parameters based on minimizing the process control cost. In this paper, we further propose the modified Duncan’s model with the run-test rule and asymmetric control limits for determining the optimum control parameters. By comparing our solutions with Duncan’s results, it shows that the former usually have...

To Bozenna Pasik-Duncan, whose example, encouragement, and friendship inspires me to continue along this academic path. ii ACKNOWLEDGEMENTS As with any work of this nature, this could not have been done alone. I'd like to thank all of the members of the Zochowski lab, especially Rhonda Dzakpasu for teaching me the cell culture protocol, Jane Wang and Eva Olariu for their work on the structural ...

Most neocortical neurons formed during embryonic brain development arise from radial glial cells which communicate, in part, via ATP mediated calcium signals. Although the intercellular signalling mechanisms that regulate radial glia proliferation are not well understood, it has recently been demonstrated that ATP dependent intracellular calcium release leads to an increase of nearly 100% in ov...

Injection of simulated binary inspiral signals into detector hardware provides an excellent test of the inspiral detection pipeline. By recovering the physical parameters of an injected signal, we test our understanding of both instrumental calibration and the data analysis pipeline. We describe an inspiral search code and results from hardware injection tests and demonstrate that injected sign...

Executive function is traditionally conceptualized as a set of abilities required to guide behavior toward goals. Here, an integrated theoretical framework for executive function is developed which has its roots in the notion of hierarchical mental models. Further following Duncan (2010a,b), executive function is construed as a hierarchical recursive system of test-operation-test-exit units (Mi...

Numerical differentiation formulas that yield consistent least squares parameter estimates from sampled observations of linear, time invariant higher order systems have been introduced previously by Duncan et al. The formulas given by Duncan et al. have the same limiting system of equations as in the continuous time case. The formula presented in this note can be characterized as preserving asy...