Non-linear optimisation with constraints for four-parameter logistic model used in cell-based in-vitro assay
by Shan Chen; Tianhong Pan; Haoran Li
International Journal of Data Mining and Bioinformatics (IJDMB), Vol. 25, No. 3/4, 2021

Abstract: Cell-based in-vitro assays are commonly used to perform chemical toxicity assessments. These assays usually employ a technical replicate to increase the reliability of the experimental data. Realising consistent assessment using the replicates is a key challenge in cell-based in-vitro assays. In this study, a novel constrained non-linear optimisation that estimates the Four-Parameter Logistic (4PL) model is proposed to overcome variability in the replicate measurements. First, the tested substance's toxicity intensities are calculated by comparing its Time-dependent Cellular Response Curves (TCRCs) with the TCRC of the negative control, which evaluates the cell inhibition/death at a particular time point. Next, the variability of each toxicity intensity is set as a discount factor, and a constrained non-linear optimisation is constructed. The Levenberg-Marquardt algorithm is used to obtain the optimal parameters of the 4PL model. Furthermore, a linearised 4PL model is presented to set initialised values for non-linear optimisation. Two case studies are conducted to validate the proposed method. The analysed results confirm that the proposed method achieves consistent results.

Online publication date: Fri, 13-May-2022

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Data Mining and Bioinformatics (IJDMB):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com