{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

This preview shows page 1. Sign up to view the full content.

MTD. Specifically, after k patients have been observed, the dose for the next patient accrued to the trial is x k þ 1 ¼ F ± 1 k ð a Þ ð 11 Þ where F k ð x Þ ¼ Z x 0 Z X Y k ð g ; N Þ d N d g ð 12 Þ is the marginal posterior CDF of the MTD given D k . Thus, subsequent to the first cohort of patients, the dose selected for each patient corresponds to the dose having minimal posterior expected loss with respect to L ð x ; N Þ ¼ a ð g ± x Þ if x V g ð i : e :; if x is an underdose Þ ð 1 ± a Þð x ± g Þ if x > c ð i : e :; if x is an overdose Þ : 8 < : The use of this loss function implies that for any y > 0 the loss incurred by treating a patient at y units above the MTD is (1 ± a )/ a times greater than the loss associated with treating the patient at y units below the MTD. This interpretation might provide a meaningful basis for the selection of the feasibility bound (Babb et al., 1998). The value selected for the feasibility bound will determine the rate of change in dose level between successive patients. Low values will result in a cautious escalation scheme with relatively small increments in dose, while high values would result in a
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern