IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v59y2010i3p423-435.html
   My bibliography  Save this article

Estimation of viral infection and replication in cells by using convolution models

Author

Listed:
  • Dean Follmann
  • Jing Qin
  • Yo Hoshino

Abstract

Summary. In some assays, a diluted suspension of infected cells is plated onto multiple wells. In each well the number of genome copies of virus, Y, is recorded, but interest focuses on the number of infected cells, X, and the number of genome copies in the infected cells, W1,…,WX. The statistical problem is to recover the distribution or at least moments of X and W on the basis of the convolution Y. We evaluate various parametric statistical models for this ‘mixture’‐ type problem and settle on a flexible robust approach where X follows a two‐component Poisson mixture model and W is a shifted negative binomial distribution. Data analysis and simulations reveal that the means and occasionally variances of X and W can be reliably captured by the model proposed. We also identify the importance of selecting an appropriate dilution for a reliable assay.

Suggested Citation

  • Dean Follmann & Jing Qin & Yo Hoshino, 2010. "Estimation of viral infection and replication in cells by using convolution models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(3), pages 423-435, May.
    • Handle: RePEc:bla:jorssc:v:59:y:2010:i:3:p:423-435
    DOI: 10.1111/j.1467-9876.2009.00697.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9876.2009.00697.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9876.2009.00697.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Ipe Ninan & Ottavio Arancio & Daniel Rabinowitz, 2006. "Estimation of the Mean from Sums with Unknown Numbers of Summands," Biometrics, The International Biometric Society, vol. 62(3), pages 918-920, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Daniel Rabinowitz, 2007. "Correction to “Estimation of the Mean from Sums with Unknown Numbers of Summands,” by I. Ninan, O. Arancio, and D. Rabinowitz; 62, 918–920, September 2006," Biometrics, The International Biometric Society, vol. 63(2), pages 623-623, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jorssc:v:59:y:2010:i:3:p:423-435. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.