Modeling of Polytonic Dose Response Relationships

Dose response relationships are fundamental to pharmacology and many other fields. Increasingly, scientists are encountering polytonic dose response relationships. These relationships are not well-characterized by linear and s-shaped models. Our team has extended the traditional 4 parameter logistic model by replacing the dose parameter with the quadratic function as an effective dose function. This approach visually fits the dose response data of Zhang better than the nonparametric method that Zhang proposes. Our phase I work plan is to fully characterize this approach, to apply it to a range of polytonic dose response relationships, and to prototype cloud software that makes the approach useful to others. The principle investigator of the team is David Rocke, Director of Biostatistics for the Clinical and Translational Science Center of the University of California, Davis. David has been recognized internationally for his work. Also participating as statistician from UC Davis is Blythe Durbin-Johnson, who has 70 publications. The project manager, from Granite Point Ventures, is Raymond Peterson. He has been principle investigator on $4.6 million in SBIR projects.