Robust Response-Guided Dosing

Posted: 6 Oct 2015

See all articles by Saumya Sinha

Saumya Sinha

University of Washington

Jakob Kotas

University of Washington

Archis Ghate

University of Washington; Independent

Date Written: October 5, 2015

Abstract

In response-guided dosing (RGD), doses are adapted to the uncertain progression of each patient's disease condition. A stochastic dynamic program was recently developed for RGD. We study its robust counterpart, where the dose-response distribution belongs to an uncertainty set. For interval uncertainty, we prove that it is optimal to administer higher doses in worsening disease. When a certain scaling of a nominal distribution describes the interval, optimal doses also increase in the scaling parameter. Theory is illustrated via numerical results.

Suggested Citation

Sinha, Saumya and Kotas, Jakob and Ghate, Archis and Ghate, Archis, Robust Response-Guided Dosing (October 5, 2015). Available at SSRN: https://ssrn.com/abstract=2669694 or http://dx.doi.org/10.2139/ssrn.2669694

Saumya Sinha

University of Washington ( email )

NE Colombia Rd.
Seattle, WA 98195
United States

Jakob Kotas

University of Washington ( email )

Seattle, WA 98195
United States

Archis Ghate (Contact Author)

University of Washington ( email )

Seattle, WA
United States

Independent ( email )

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