University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Cross-contamination rate estimation for digital PCR in lab-on-a-chip microfluidic devices

Cross-contamination rate estimation for digital PCR in lab-on-a-chip microfluidic devices

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

SDB - Stochastic dynamical systems in biology: numerical methods and applications

In the bond percolation model on a lattice, we colour vertices with n_c colours independently at random according to Bernoulli distributions. A vertex can receive multiple colours and each of these colours is individually observable. The colours colour the entire component into which they fall. Our goal is to estimate the n_c +1
parameters of the model: the probabilities of colouring of single vertices and the probability with which an edge is open. The input data is the configuration of colours once the complete components have been coloured, without the information which vertices were originally coloured or which edges are open.

We use a Monte Carlo method, the method of simulated moments to achieve this goal. We prove that this method is a strongly consistent estimator by proving a strong law of large numbers for the vertices' weakly dependent colour values. We evaluate the method in computer tests. The motivating application is cross-contamination rate estimation for digital PCR in lab-on-a-chip microfluidic devices.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity