usALEX-5samples - Template

This notebook is executed through 8-spots paper analysis. For a direct execution, uncomment the cell below.


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# data_id = "7d"

Load software and filenames definitions


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from fretbursts import *

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init_notebook()
from IPython.display import display

Data folder:


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data_dir = './data/singlespot/'

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import os
data_dir = os.path.abspath(data_dir) + '/'
assert os.path.exists(data_dir), "Path '%s' does not exist." % data_dir

List of data files:


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from glob import glob
file_list = sorted(f for f in glob(data_dir + '*.hdf5') if '_BKG' not in f)
## Selection for POLIMI 2012-11-26 datatset
labels = ['17d', '27d', '7d', '12d', '22d']
files_dict = {lab: fname for lab, fname in zip(labels, file_list)}
files_dict

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data_id

Data load

Initial loading of the data:


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d = loader.photon_hdf5(filename=files_dict[data_id])

Laser alternation selection

At this point we have only the timestamps and the detector numbers:


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d.ph_times_t, d.det_t

We need to define some parameters: donor and acceptor ch, excitation period and donor and acceptor excitiations:


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d.add(det_donor_accept=(0, 1), alex_period=4000, D_ON=(2850, 580), A_ON=(900, 2580), offset=0)

We should check if everithing is OK with an alternation histogram:


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plot_alternation_hist(d)

If the plot looks good we can apply the parameters with:


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loader.alex_apply_period(d)

Measurements infos

All the measurement data is in the d variable. We can print it:


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d

Or check the measurements duration:


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d.time_max

Compute background

Compute the background using automatic threshold:


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d.calc_bg(bg.exp_fit, time_s=60, tail_min_us='auto', F_bg=1.7)

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dplot(d, timetrace_bg)

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d.rate_m, d.rate_dd, d.rate_ad, d.rate_aa

Burst search and selection


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d_orig = d
d = bext.burst_search_and_gate(d, m=10, F=7)

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assert d.dir_ex == 0
assert d.leakage == 0

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print(d.ph_sel)
dplot(d, hist_fret);

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# if data_id in ['7d', '27d']:
#     ds = d.select_bursts(select_bursts.size, th1=20)
# else:
#     ds = d.select_bursts(select_bursts.size, th1=30)

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ds = d.select_bursts(select_bursts.size, add_naa=False, th1=30)

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n_bursts_all = ds.num_bursts[0]

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def select_and_plot_ES(fret_sel, do_sel):
    ds_fret= ds.select_bursts(select_bursts.ES, **fret_sel)
    ds_do = ds.select_bursts(select_bursts.ES, **do_sel)
    bpl.plot_ES_selection(ax, **fret_sel)
    bpl.plot_ES_selection(ax, **do_sel)    
    return ds_fret, ds_do

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ax = dplot(ds, hist2d_alex, S_max_norm=2, scatter_alpha=0.1)

if data_id == '7d':
    fret_sel = dict(E1=0.60, E2=1.2, S1=0.2, S2=0.9, rect=False)
    do_sel = dict(E1=-0.2, E2=0.5, S1=0.8, S2=2, rect=True)    
    ds_fret, ds_do = select_and_plot_ES(fret_sel, do_sel)
    
elif data_id == '12d':
    fret_sel = dict(E1=0.30,E2=1.2,S1=0.131,S2=0.9, rect=False)
    do_sel = dict(E1=-0.4, E2=0.4, S1=0.8, S2=2, rect=False)
    ds_fret, ds_do = select_and_plot_ES(fret_sel, do_sel)

elif data_id == '17d':
    fret_sel = dict(E1=0.01, E2=0.98, S1=0.14, S2=0.88, rect=False)
    do_sel = dict(E1=-0.4, E2=0.4, S1=0.80, S2=2, rect=False)
    ds_fret, ds_do = select_and_plot_ES(fret_sel, do_sel)

elif data_id == '22d':
    fret_sel = dict(E1=-0.16, E2=0.6, S1=0.2, S2=0.80, rect=False)
    do_sel = dict(E1=-0.2, E2=0.4, S1=0.85, S2=2, rect=True)
    ds_fret, ds_do = select_and_plot_ES(fret_sel, do_sel)    

elif data_id == '27d':
    fret_sel = dict(E1=-0.1, E2=0.5, S1=0.2, S2=0.82, rect=False)
    do_sel = dict(E1=-0.2, E2=0.4, S1=0.88, S2=2, rect=True)
    ds_fret, ds_do = select_and_plot_ES(fret_sel, do_sel)

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bandwidth = 0.03

n_bursts_fret = ds_fret.num_bursts[0]
n_bursts_fret

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dplot(ds_fret, hist2d_alex, scatter_alpha=0.1);

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nt_th1 = 50

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dplot(ds_fret, hist_size, which='all', add_naa=False)
xlim(-0, 250)
plt.axvline(nt_th1)

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Th_nt = np.arange(35, 120)
nt_th = np.zeros(Th_nt.size)
for i, th in enumerate(Th_nt):
    ds_nt = ds_fret.select_bursts(select_bursts.size, th1=th)
    nt_th[i] = (ds_nt.nd[0]  + ds_nt.na[0]).mean() - th

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plt.figure()
plot(Th_nt, nt_th)
plt.axvline(nt_th1)

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nt_mean = nt_th[np.where(Th_nt == nt_th1)][0]
nt_mean

Fret fit

Max position of the Kernel Density Estimation (KDE):


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E_pr_fret_kde = bext.fit_bursts_kde_peak(ds_fret, bandwidth=bandwidth, weights='size')
E_fitter = ds_fret.E_fitter

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E_fitter.histogram(bins=np.r_[-0.1:1.1:0.03])
E_fitter.fit_histogram(mfit.factory_gaussian(center=0.5))

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E_fitter.fit_res[0].params.pretty_print()

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fig, ax = plt.subplots(1, 2, figsize=(14, 4.5))
mfit.plot_mfit(E_fitter, ax=ax[0])
mfit.plot_mfit(E_fitter, plot_model=False, plot_kde=True, ax=ax[1])
print('%s\nKDE peak %.2f ' % (ds_fret.ph_sel, E_pr_fret_kde*100))
display(E_fitter.params*100)

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# ds_fret.add(E_fitter = E_fitter)
# dplot(ds_fret, hist_fret_kde, weights='size', bins=np.r_[-0.2:1.2:bandwidth], bandwidth=bandwidth);
# plt.axvline(E_pr_fret_kde, ls='--', color='r')
# print(ds_fret.ph_sel, E_pr_fret_kde)

Weighted mean of $E$ of each burst:


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ds_fret.fit_E_m(weights='size')

Gaussian fit (no weights):


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ds_fret.fit_E_generic(fit_fun=bl.gaussian_fit_hist, bins=np.r_[-0.1:1.1:0.03], weights=None)

Gaussian fit (using burst size as weights):


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ds_fret.fit_E_generic(fit_fun=bl.gaussian_fit_hist, bins=np.r_[-0.1:1.1:0.005], weights='size')

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E_kde_w = E_fitter.kde_max_pos[0]
E_gauss_w = E_fitter.params.loc[0, 'center']
E_gauss_w_sig = E_fitter.params.loc[0, 'sigma']
E_gauss_w_err = float(E_gauss_w_sig/np.sqrt(ds_fret.num_bursts[0]))
E_gauss_w_fiterr = E_fitter.fit_res[0].params['center'].stderr
E_kde_w, E_gauss_w, E_gauss_w_sig, E_gauss_w_err, E_gauss_w_fiterr

Stoichiometry fit

Max position of the Kernel Density Estimation (KDE):


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S_pr_fret_kde = bext.fit_bursts_kde_peak(ds_fret, burst_data='S', bandwidth=0.03) #weights='size', add_naa=True)
S_fitter = ds_fret.S_fitter

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S_fitter.histogram(bins=np.r_[-0.1:1.1:0.03])
S_fitter.fit_histogram(mfit.factory_gaussian(), center=0.5)

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fig, ax = plt.subplots(1, 2, figsize=(14, 4.5))
mfit.plot_mfit(S_fitter, ax=ax[0])
mfit.plot_mfit(S_fitter, plot_model=False, plot_kde=True, ax=ax[1])
print('%s\nKDE peak %.2f ' % (ds_fret.ph_sel, S_pr_fret_kde*100))
display(S_fitter.params*100)

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S_kde = S_fitter.kde_max_pos[0]
S_gauss = S_fitter.params.loc[0, 'center']
S_gauss_sig = S_fitter.params.loc[0, 'sigma']
S_gauss_err = float(S_gauss_sig/np.sqrt(ds_fret.num_bursts[0]))
S_gauss_fiterr = S_fitter.fit_res[0].params['center'].stderr
S_kde, S_gauss, S_gauss_sig, S_gauss_err, S_gauss_fiterr

The Maximum likelihood fit for a Gaussian population is the mean:


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S = ds_fret.S[0]
S_ml_fit = (S.mean(), S.std())
S_ml_fit

Computing the weighted mean and weighted standard deviation we get:


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weights = bl.fret_fit.get_weights(ds_fret.nd[0], ds_fret.na[0], weights='size', naa=ds_fret.naa[0], gamma=1.)
S_mean = np.dot(weights, S)/weights.sum()
S_std_dev = np.sqrt(
        np.dot(weights, (S - S_mean)**2)/weights.sum())
S_wmean_fit = [S_mean, S_std_dev]
S_wmean_fit

Save data to file


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sample = data_id

The following string contains the list of variables to be saved. When saving, the order of the variables is preserved.


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variables = ('sample n_bursts_all n_bursts_fret '
             'E_kde_w E_gauss_w E_gauss_w_sig E_gauss_w_err E_gauss_w_fiterr '
             'S_kde S_gauss S_gauss_sig S_gauss_err S_gauss_fiterr '
             'nt_mean\n')

This is just a trick to format the different variables:


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variables_csv = variables.replace(' ', ',')
fmt_float = '{%s:.6f}'
fmt_int = '{%s:d}'
fmt_str = '{%s}'
fmt_dict = {**{'sample': fmt_str}, 
            **{k: fmt_int for k in variables.split() if k.startswith('n_bursts')}}
var_dict = {name: eval(name) for name in variables.split()}
var_fmt = ', '.join([fmt_dict.get(name, fmt_float) % name for name in variables.split()]) + '\n'
data_str = var_fmt.format(**var_dict)

print(variables_csv)
print(data_str)

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# NOTE: The file name should be the notebook name but with .csv extension
with open('results/usALEX-5samples-PR-raw-AND-gate.csv', 'a') as f:
    f.seek(0, 2)
    if f.tell() == 0:
        f.write(variables_csv)
    f.write(data_str)