this is for holding javascript data
Ardo Illaste edited res_fitting.md
about 10 years ago
Commit id: 1ccd90c316ecb14c0b630adb1119807186d650f2
deletions | additions
diff --git a/res_fitting.md b/res_fitting.md
index e9fd3bd..84f756a 100644
--- a/res_fitting.md
+++ b/res_fitting.md
...
The function used for fitting Ca2+ release events is shown on Figure \ref{fig:f2}. The shape of the function is described by 4 parameters: amplitude (\(A\)), rise and decay time constants (\(\tau_{rise},\tau_{decay}\)) and plateau duration (\(d\)). An additional parameter (\(\mu\)) determines the time when the maximum is reached. For the optimizer to obtain good performance when fitting the function used for fitting should be continously differentiable. The original fitting function:
\[
g(A, d, \tau_{d}, \tau_{r}, \mu, t) =
B+A\cdot\left\{ A\cdot\left\{
\begin{array}{l l}
1-\exp\left( -\frac{t-\mu}{\tau_r}\right)\cdot\exp\left(-2\right) & \quad t\lt\mu\\\\
1-\exp(-2) & \quad \mu\le t\lt \mu+d\\\\