Macroscopic currents with matrices: UCL summer school, lecture 3
Channel: David Colquhoun
Date: 25/08/2021

This is the 3rd talk in the UCL Summer Workshop on "Analysis and interpretation of single ion channel records and macroscopic currents using matrix methods" .
Click "SHOW MORE" for references etc

The UCL summer workshop ran every year from 2003 to 2013. See http://www.onemol.org.uk/?page_id=54  During those 13 years, we had 128 students from all over the world, ranging from PhD students to full professors.   The mornings were taken up with lectures. The afternoons were spent on programming the equations  so students coulddo numerical calculations themselves.  For these sessions we used Mathcad. This has the great advantage of being visual-when you type an equation it looks much the same as when you write it out on paper. It has the disadvantage that it's expensive.  We'll provide the Mathcad worksheets, but you won't have the benefit of having live teachers helping you to work through them.

Here are some useful references.
Colquhoun, D, Basic matrix algebra in 45 minutes https://www.youtube.com/watch?v=u_RE2yKyh0o

Colquhoun, D., & Hawkes, A. G. (1995a). The principles of the stochastic interpretation of ion channel mechanisms. In B. Sakmann & E. Neher (Eds.), Single Channel Recording (pp. 397-482). New York: Plenum Press.  Available at: http://www.onemol.org.uk/colquhoun-hawkes-1995_neher-sakmann_single-channel_rec_2nd_ed.pdf

Colquhoun, D., & Hawkes, A. G. (1995b). A Q-matrix Cookbook. How to Write Only One Program to Calculate the Single-Channel and Macroscopic Predictions for Any Kinetic Mechanism  In B. Sakmann & E. Neher (Eds.), Single Channel Recording (pp. 589-633). New York: Plenum Press. Available at   http://www.onemol.org.uk/colquhoun-hawkes-qmatrix-1995_neher-sakmann_single-channel_rec_2nd_ed.pdf

There is another chapter from the Single Channel Recording book which deals with filtering and idealisation of recordings, a topic that is mentioned only briefly in this lecture.
Colquhoun, D, a& Sigworth, F.J. (1995c) Fitting and Statistical Analysis of SingleChannel Records.  Available here: http://www.onemol.org.uk/colquhoun-sigworth-1995_neher-sakmann_single-channel_rec_2nd_ed.pdf