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a computational framework for influenza antigenic cartography流感抗原地图学的计算框架
A Computational Framework for Influenza Antigenic
Cartography
1 2 1
Zhipeng Cai , Tong Zhang , Xiu-Feng Wan *
1 Department of Basic Sciences, College of Veterinary Medicine, Mississippi State University, Mississippi State, Mississippi, United States of America, 2 Department of
Statistics, Rutgers University, Piscataway, New Jersey, United States of America
Abstract
Influenza viruses have been responsible for large losses of lives around the world and continue to present a great public
health challenge. Antigenic characterization based on hemagglutination inhibition (HI) assay is one of the routine
procedures for influenza vaccine strain selection. However, HI assay is only a crude experiment reflecting the antigenic
correlations among testing antigens (viruses) and reference antisera (antibodies). Moreover, antigenic characterization is
usually based on more than one HI dataset. The combination of multiple datasets results in an incomplete HI matrix with
many unobserved entries. This paper proposes a new computational framework for constructing an influenza antigenic
cartography from this incomplete matrix, which we refer to as Matrix Completion-Multidimensional Scaling (MC-MDS). In
this approach, we first reconstruct the HI matrices with viruses and antibodies using low-rank matrix completion, and then
generate the two-dimensional antigenic cartography using multidimensional scaling. Moreover, for influenza HI tables with
herd immunity effect (such as those from Human influenza viruses), we propose a temporal model to reduce the inherent
temporal bias of HI tables caused by herd immunity. By applying our method in HI datasets containing H3N2 influenza A
viruses isolated from 1968 to 2003, we identified e
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