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Harrison H. Barrett on Muck Rack

Harrison H. Barrett

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Articles

Physiological random processes in precision cancer therapy

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By Kyle Myers, Harrison H. Barrett, Nick Henscheid, Eric Clarkson
| PLOS
Many different physiological processes affect the growth of malignant lesions and their response to therapy. Each of these processes is spatially and genetically heterogeneous; dynamically evolving in time; controlled by many other physiological processes, and intrinsically random and unpredictable. The objective of this paper is to show that all of these properties of cancer physiology can be treated in a unified, mathematically rigorous way via the theory of random processes.
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Null functions in three-dimensional imaging of alpha and beta particles

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By Yijun Ding, Luca Caucci, Harrison H. Barrett
| Nature Verified
Null function analysis is based on Singular Value Decomposition (SVD). In this section, we introduce SVD and show how to use it to calculate null functions. In addition, we discuss the symmetries of CPET and how to apply symmetries to simplify the SVD analysis. SVD analysis of a linear system involves the system operator and its adjoint operator [ref.2, p. 17]. The adjoint operator of , denoted as , maps a function in the attribute space to a function in the object space.
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