% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{HollandLetz:148310,
      author       = {T. Holland-Letz$^*$ and A. Leibner$^*$ and A.
                      Kopp-Schneider$^*$},
      title        = {{M}odeling dose-response functions for combination
                      treatments with log-logistic or {W}eibull functions.},
      journal      = {Archives of toxicology},
      volume       = {94},
      number       = {1},
      issn         = {1432-0738},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {DKFZ-2019-02868},
      pages        = {197-204},
      year         = {2020},
      note         = {#EA:C060#LA:C060# 2020 Jan;94(1):197-204},
      abstract     = {Dose-response curves of new substances in toxicology and
                      related areas are commonly fitted using log-logistic
                      functions. In more advanced studies, an additional interest
                      is often how these substances will behave when applied in
                      combination with a second substance. Here, an essential
                      question for both design and analysis of these combination
                      experiments is whether the resulting dose-response function
                      will still be a member of the class of log-logistic
                      functions, and, if so, what function parameters will result
                      for the combined substances. Different scenarios might be
                      considered in regard to whether a true interaction between
                      the substances is expected, or whether the combination will
                      simply be additive. In this paper, it is shown that the
                      resulting function will in general not be a log-logistic
                      function, but can be approximated very closely with one.
                      Parameters for this approximation can be predicted from the
                      parameters of both ingredients. Furthermore, some simple
                      interaction structures can still be represented with a
                      single log-logistic function. The approach can also be
                      applied to Weibull-type dose-response functions, and similar
                      results are obtained. Finally, the results were applied to a
                      real data set obtained from cell culture experiments
                      involving two cancer treatments, and the dose-response curve
                      of a combination treatment was predicted from the properties
                      of the singular substances.},
      cin          = {C060 / B310},
      ddc          = {610},
      cid          = {I:(DE-He78)C060-20160331 / I:(DE-He78)B310-20160331},
      pnm          = {313 - Cancer risk factors and prevention (POF3-313)},
      pid          = {G:(DE-HGF)POF3-313},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:31786636},
      doi          = {10.1007/s00204-019-02631-2},
      url          = {https://inrepo02.dkfz.de/record/148310},
}