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Full-Text Articles in Physical Sciences and Mathematics
A Mathematical Model For Treatment-Resistant Mutations Of Hiv, Helen Moore, Weiqing Gu
A Mathematical Model For Treatment-Resistant Mutations Of Hiv, Helen Moore, Weiqing Gu
All HMC Faculty Publications and Research
In this paper, we propose and analyze a mathematical model, in the form of a system of ordinary differential equations, governing mutated strains of human immunodeficiency virus (HIV) and their interactions with the immune system and treatments. Our model incorporates two types of resistant mutations: strains that are not responsive to protease inhibitors, and strains that are not responsive to reverse transcriptase inhibitors. It also includes strains that do not have either of these two types of resistance (wild-type virus) and strains that have both types. We perform our analysis by changing the system of ordinary differential equations (ODEs) to …
Limits To Performance Improvement Provided By Balanced Interferometers And Balanced Detection In Oct/Ocm Instruments, David Liao, Adam E. Pivonka, Brendan R. Haberle, Daniel C. Petersen, Barbara M. Hoeling, Richard C. Haskell
Limits To Performance Improvement Provided By Balanced Interferometers And Balanced Detection In Oct/Ocm Instruments, David Liao, Adam E. Pivonka, Brendan R. Haberle, Daniel C. Petersen, Barbara M. Hoeling, Richard C. Haskell
All HMC Faculty Publications and Research
We compare the dynamic range of OCT/OCM instruments configured with unbalanced interferometers, e.g., Michelson interferometers, with that of instruments utilizing balanced interferometers and balanced photodetection. We define the dynamic range (DR) as the ratio of the maximum fringe amplitude achieved with a highly reflecting surface to the root-mean-square (rms) noise. Balanced systems achieve a dynamic range 2.5 times higher than that of a Michelson interferometer, enabling an image acquisition speed roughly 6 times faster. This maximum improvement occurs at light source powers of a few milliwatts. At light source powers higher than 30 mW, the advantage in acquisition speed of …