analysis

Curve fit of cell density versus shear stress

fit(distances: ndarray, n_bins: int = 21) → tuple[ndarray, ndarray, ndarray, ndarray, ndarray]

Fits cell density to sigmoid curve.

Expects the relative distances of the cells from the center and n_bins, the number of bins in the histogram.

Returns (x_data, y_data, x_fit, y_fit, parameters), which represent the binned data of shear stress vs. normalized cell density, the coordinates of the corresponding fit curve, and the fit parameters.

sigmoid(x: ndarray, a: float, b: float, c: float) → ndarray

Fit function according to Boettiger (2007).

• a is the plateau maximum and constrained to 0.95 < a < 1.05.

• b is the slope of the curve at the inflection point. It reflects the distribution.

• c is \(\tau_{50}\), the mean shear stress required for cell detachment and is proportional to the number of adhesive bonds.

plot(figure: Figure, x_data: ndarray, y_data: ndarray, x_fit: ndarray, y_fit: ndarray, parameters: ndarray)

Plots binned data and fit curve onto given Matplotlib figure.