Difference between revisions of "Matplotlib DPL94 R1rho R2eff"

Latest revision as of 15:53, 6 November 2015

About

The production to these figures relates to the Suppport Request:
sr #3124: Grace graphs production for R1rho analysis with R2_eff as function of Omega_eff

References

Refer to the manual for parameter explanation

Evenäs, J., Malmendal, A. and Akke, M. (2001). Dynamics of the transition between open and closed conformations in a calmodulin C-terminal domain mutant. Structure, 9(3), 185-195. (DOI: 10.1016/S0969-2126(01)00575-5)
Kempf, J. G. and Loria, J. P. (2004). Measurement of intermediate exchange phenomena. Methods Mol. Biol., 278, 185-231. (DOI: 10.1385/1-59259-809-9:185)
Massi, F., Grey, M. J., Palmer, 3rd, A. G. (2005). Microsecond timescale backbone conformational dynamics in ubiquitin studied with NMR R1ρ relaxation experiments Protein science, 14(3), 735-742. (DOI: 10.1110/ps.041139505)
Palmer, 3rd, A. G., Kroenke, C. D., and Loria, J. P. (2001). Nuclear magnetic resonance methods for quantifying microsecond-to-millisecond motions in biological macromolecules. Methods Enzymol., 339, 204-238. (DOI: 10.1016/S0076-6879(01)39315-1)
Palmer, 3rd, A. G. and Massi, F. (2006). Characterization of the dynamics of biomacromolecules using rotating-frame spin relaxation NMR spectroscopy. Chem. Rev., 106(5), 1700-1719. (DOI: 10.1021/cr0404287)

Figures

Ref [1], Figure 1.b. The bell-curves As function of angle calculation.

Ref [1], Figure 1.c. The wanted graph. No clear "name" for the calculated parameter.

Ref [2], Equation 27. Here the calculated value is noted as: R_eff = R_1ρ / sin²(θ) - R₁ / tan²(θ) = R₂⁰ + R_ex, where R₂⁰ refers to R_1ρ' as seen at DPL94

Ref [3], Equation 20. Here the calculated value is noted as: R₂ = R_1ρ / sin²(θ) - R₁ / tan²(θ). Figure 11+16, would be the reference.

Ref [4], Equation 43. R_eff = R_1ρ / sin²(θ) - R₁ / tan²(θ).

Ref [5], Material and Methods, page 740. Here the calculated value is noted as: R₂: R₂ = R₂⁰ + R_ex. Figure 4 would be the wished graphs.

A little table of conversion then gives

Relax equation    |   Relax store    | Articles
---------------------------------------------------------------
R1rho'                spin.r2             R^{0}_2 or Bar{R}_2
Fitted pars           Not stored          R_ex
R1rho                 spin.r2eff          R1rho
R_1                   spin.ri_data['R1']  R_1 or Bar{R}_1

The parameter is called R_2 or R_eff in the articles. Since reff is not used in relax, this could be used?

A description could be:

The effective rate
The effective transverse relaxation rate constant
The effective relaxation rate constant.

Make graphs

The outcome

To run

relax -p r1rhor2eff.py

Code

Code: r1rhor2eff.py Python script

### python imports
import sys
import os
from math import cos, sin, sqrt, pi
from numpy import array, float64
 
### plotting facility.
import matplotlib.pyplot as plt
 
# Ordered dictionary
import collections
 
### relax modules
# Import some tools to loop over the spins.
from pipe_control.mol_res_spin import return_spin, spin_loop
# Import method to calculate the R1_rho offset data
from specific_analyses.relax_disp.disp_data import calc_rotating_frame_params, generate_r20_key, loop_exp_frq, loop_exp_frq_offset, loop_point, return_param_key_from_data, return_spin_lock_nu1
from specific_analyses.relax_disp import optimisation
from lib.nmr import frequency_to_Hz, frequency_to_ppm, frequency_to_rad_per_s
 
###############
 
# You have to provide a DPL94 results state file
res_folder = "resultsR1"
#res_folder = "results_clustering"
res_state = os.path.join(res_folder, "DPL94", "results")
spin_inte = ":44@N"
# Make a fake spin, from the spin of interest
fake_spin_inte = spin_inte.replace("N","X")
 
# Interpolate graph settings
#num_points=1000, extend=500.0
num_points=100
extend=5000.0
 
################
spin_inte_rep = spin_inte.replace('#', '_').replace(':', '_').replace('@', '_')
 
# Load the state
state.load(res_state, force=True)

# Get the dictionary key
for exp_type, frq in loop_exp_frq():
    r20_key = generate_r20_key(exp_type=exp_type, frq=frq)
 
# Show pipes
pipe.display()
pipe.current()
 
# Get the spin of interest and save it in cdp, to access it after execution of script.
cdp.myspin = return_spin(spin_inte)

# Copy the parameters from spin of interest to a fake spin to be modified.
spin.copy(spin_from=spin_inte, spin_to=fake_spin_inte)
# Returnspin
cdp.fakespin = return_spin(fake_spin_inte)

# Modify data
if spin_inte == ":52@N":
    # Set reference data
    cdp.fakespin.r2[r20_key] = 6.51945
    cdp.fakespin.kex = 13193.82986
    cdp.fakespin.kex_err = 2307.09152
    phi_ex_rad2_s2 = 93499.92172
    phi_ex_err_rad2_s2 = 33233.23039
    scaling_rad2_s2 = frequency_to_ppm(frq=1/(2*pi), B0=cdp.spectrometer_frq_list[0], isotope='15N')**2
    print scaling_rad2_s2

    cdp.fakespin.phi_ex = phi_ex_rad2_s2*scaling_rad2_s2
    cdp.fakespin.phi_ex_err = phi_ex_err_rad2_s2*scaling_rad2_s2

    print cdp.myspin.ri_data['R1'], cdp.myspin.ri_data_err['R1'], cdp.myspin.r2[r20_key], cdp.myspin.kex, cdp.myspin.phi_ex
    print cdp.fakespin.ri_data['R1'], cdp.fakespin.ri_data_err['R1'], cdp.fakespin.r2[r20_key], cdp.fakespin.kex, cdp.fakespin.phi_ex


# Calculate the offset data
theta_spin_dic, Domega_spin_dic, w_eff_spin_dic, dic_key_list = calc_rotating_frame_params(spin=cdp.myspin, spin_id=spin_inte, verbosity=0)
# Save the data in cdp to access it after execution of script.
cdp.myspin.theta_spin_dic = theta_spin_dic
cdp.myspin.w_eff_spin_dic = w_eff_spin_dic
cdp.myspin.dic_key_list = dic_key_list
 
############################
# First creacte back calculated R2eff data for interpolated plots.
############################
 
 
# Return the original structure for frq, offset
spin_lock_nu1 = return_spin_lock_nu1(ref_flag=False)

# Back calculate R2eff data for the set parameters.
cdp.fakespin.back_calc = optimisation.back_calc_r2eff(spin=cdp.fakespin, spin_id=fake_spin_inte, spin_lock_nu1=spin_lock_nu1)

# Prepare list to hold new data
spin_lock_nu1_new = []
# Loop over the structures to generate data
for ei in range(len(spin_lock_nu1)):
    # Add a new dimension.
    spin_lock_nu1_new.append([])
 
    # Then loop over the spectrometer frequencies.
    for mi in range(len(spin_lock_nu1[ei])):
        # Add a new dimension.
        spin_lock_nu1_new[ei].append([])
 
        # Finally the offsets.
        for oi in range(len(spin_lock_nu1[ei][mi])):
            # Add a new dimension.
            spin_lock_nu1_new[ei][mi].append([])
 
            # No data.
            if not len(spin_lock_nu1[ei][mi][oi]):
                continue
 
            # Interpolate (adding the extended amount to the end).
            for di in range(num_points):
                point = (di + 1) * (max(spin_lock_nu1[ei][mi][oi])+extend) / num_points
                spin_lock_nu1_new[ei][mi][oi].append(point)
            # Intersert field 0
            #spin_lock_nu1_new[ei][mi][oi][0] = 0.0
 
            # Convert to a numpy array.
            spin_lock_nu1_new[ei][mi][oi] = array(spin_lock_nu1_new[ei][mi][oi], float64)
 
# Then back calculate R2eff data for the interpolated points.
cdp.myspin.back_calc = optimisation.back_calc_r2eff(spin=cdp.myspin, spin_id=spin_inte, spin_lock_nu1=spin_lock_nu1_new)
 
# Calculate the offset data, interpolated
theta_spin_dic_inter, Domega_spin_dic_inter, w_eff_spin_dic_inter, dic_key_list_inter = calc_rotating_frame_params(spin=cdp.myspin, spin_id=spin_inte, fields = spin_lock_nu1_new, verbosity=0)
 
###### Store the data before plotting
# Create a dictionary to hold data
cdp.mydic = collections.OrderedDict()
 
# Loop over the data structures and save to dictionary
for exp_type, frq, offset, ei, mi, oi in loop_exp_frq_offset(return_indices=True):
    # This is not used, but could be used to get Rex.
    R1_rho_prime = cdp.myspin.r2[r20_key]
    #print R1_rho_prime
 
    # Get R1
    R1 = cdp.myspin.ri_data['R1']
    R1_err = cdp.myspin.ri_data_err['R1']
 
    # Add to dic
    if exp_type not in cdp.mydic:
        cdp.mydic[exp_type] = collections.OrderedDict()
    if frq not in cdp.mydic[exp_type]:
        cdp.mydic[exp_type][frq] = collections.OrderedDict()
    if offset not in cdp.mydic[exp_type][frq]:
        cdp.mydic[exp_type][frq][offset] = collections.OrderedDict()
        # X val
        cdp.mydic[exp_type][frq][offset]['point'] = []
        cdp.mydic[exp_type][frq][offset]['point_inter'] = []
        cdp.mydic[exp_type][frq][offset]['theta'] = []
        cdp.mydic[exp_type][frq][offset]['theta_inter'] = []
        cdp.mydic[exp_type][frq][offset]['w_eff'] = []
        cdp.mydic[exp_type][frq][offset]['w_eff_inter'] = []
        # Y val
        cdp.mydic[exp_type][frq][offset]['R1_rho'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_err'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_bc'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_inter'] = []

        # Y val fake
        cdp.mydic[exp_type][frq][offset]['fake_R1_rho'] = []

        # Y2 val
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_err'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_bc'] = []
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_inter'] = []
 
    # Loop over the original dispersion points.
    for point, di in loop_point(exp_type=exp_type, frq=frq, offset=offset, return_indices=True):
        param_key = return_param_key_from_data(exp_type=exp_type, frq=frq, offset=offset, point=point)
 
        # X val
        cdp.mydic[exp_type][frq][offset]['point'].append(point)
        theta = theta_spin_dic[param_key]
        cdp.mydic[exp_type][frq][offset]['theta'].append(theta)
        w_eff = w_eff_spin_dic[param_key]
        cdp.mydic[exp_type][frq][offset]['w_eff'].append(w_eff)
 
        # Average resonance spin_lock_offset
        #print Domega_spin_dic[param_key]
 
        # Y val
        R1_rho = cdp.myspin.r2eff[param_key]
        cdp.mydic[exp_type][frq][offset]['R1_rho'].append(R1_rho)
        R1_rho_err = cdp.myspin.r2eff_err[param_key]
        cdp.mydic[exp_type][frq][offset]['R1_rho_err'].append(R1_rho_err)
        R1_rho_bc = cdp.myspin.r2eff_bc[param_key]
        cdp.mydic[exp_type][frq][offset]['R1_rho_bc'].append(R1_rho_bc)

        # Y val, fake
        fake_R1_rho = cdp.fakespin.back_calc[ei][0][mi][oi][di]
        cdp.mydic[exp_type][frq][offset]['fake_R1_rho'].append(fake_R1_rho)

        # Y2 val
        # Calc R1_rho_R2eff
        R1_rho_R2eff = (R1_rho - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff'].append(R1_rho_R2eff)
 
        R1_rho_R2eff_err = (R1_rho_err - R1_err*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_err'].append(R1_rho_R2eff_err)
 
        R1_rho_R2eff_bc = (R1_rho_bc - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_bc'].append(R1_rho_R2eff_bc)
 
    ## Loop over the new dispersion points.
    for di in range(len(cdp.myspin.back_calc[ei][0][mi][oi])):
        point = spin_lock_nu1_new[ei][mi][oi][di]
        param_key = return_param_key_from_data(exp_type=exp_type, frq=frq, offset=offset, point=point)
 
        # X val
        cdp.mydic[exp_type][frq][offset]['point_inter'].append(point)
        theta = theta_spin_dic_inter[param_key]
        cdp.mydic[exp_type][frq][offset]['theta_inter'].append(theta)
        w_eff = w_eff_spin_dic_inter[param_key]
        cdp.mydic[exp_type][frq][offset]['w_eff_inter'].append(w_eff)
 
        # Y val
        R1_rho = cdp.myspin.back_calc[ei][0][mi][oi][di]
        cdp.mydic[exp_type][frq][offset]['R1_rho_inter'].append(R1_rho)
 
        # Y2 val
        # Calc R1_rho_R2eff
        R1_rho_R2eff = (R1_rho - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
        cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_inter'].append(R1_rho_R2eff)
 
        #if oi == 0:
            #print exp_type, frq, offset, point, theta, w_eff
 
####### PLOT ####
 
## Define labels for plotting
filesave_R1_rho_R2eff = 'R1_rho_R2eff'
filesave_R1_rho = 'R1_rho'
 
# For writing math in matplotlib, see
# http://matplotlib.org/1.3.1/users/mathtext.html
 
ylabel_R1_rho = r'R$_{1\rho}$ [rad s$^{-1}$]'
ylabel_R1_rho_R2eff = r'R$_{1\rho}$, R$_{2,eff}$ [rad s$^{-1}$]'
 
xlabel_theta = 'Rotating frame tilt angle [rad]'
xlabel_w_eff = r'Effective field in rotating frame [rad s$^{-1}$]'
xlabel_lock = 'Spin-lock field strength [Hz]'
 
# Set image inches size
img_inch_x = 12
img_inch_y = img_inch_x / 1.6
legend_size = 6
 
 
# Plot values in dic
for exptype, frq_dic in cdp.mydic.items():
    for frq, offset_dic in frq_dic.items():
        for offset, val_dics in offset_dic.items():
            # General plot label
            graphlabel = "%3.1f_%3.3f_meas"%(frq/1E6, offset)
            graphlabel_bc = "%3.1f_%3.3f_bc"%(frq/1E6, offset)
            graphlabel_inter = "%3.1f_%3.3f_inter"%(frq/1E6, offset)
            graphlabel_fake = "%3.1f_%3.3f_fake"%(frq/1E6, offset)
 
            # Plot 1: R1_rho as function of theta.
            plt.figure(1)
            line, = plt.plot(val_dics['theta_inter'], val_dics['R1_rho_inter'], '-', label=graphlabel_inter)
            plt.errorbar(val_dics['theta'], val_dics['R1_rho'], yerr=val_dics['R1_rho_err'], fmt='o', label=graphlabel, color=line.get_color())
            plt.plot(val_dics['theta'], val_dics['R1_rho_bc'], 'D', label=graphlabel_bc, color=line.get_color())
 
            # Plot 2: R1_rho_R2eff as function of w_eff
            plt.figure(2)
            w_eff2_inter = [x*x for x in val_dics['w_eff_inter']]
            w_eff2 = [x*x for x in val_dics['w_eff']]
            #line, = plt.plot(w_eff2_inter, val_dics['R1_rho_R2eff_inter'], '-', label=graphlabel_inter)
            #plt.errorbar(w_eff2, val_dics['R1_rho_R2eff'], yerr=val_dics['R1_rho_R2eff_err'], fmt='o', label=graphlabel, color=line.get_color())
            #plt.plot(w_eff2, val_dics['R1_rho_R2eff_bc'], 'D', label=graphlabel_bc, color=line.get_color())
            line, = plt.plot(val_dics['w_eff_inter'], val_dics['R1_rho_R2eff_inter'], '-', label=graphlabel_inter)
            plt.errorbar(val_dics['w_eff'], val_dics['R1_rho_R2eff'], yerr=val_dics['R1_rho_R2eff_err'], fmt='o', label=graphlabel, color=line.get_color())
            plt.plot(val_dics['w_eff'], val_dics['R1_rho_R2eff_bc'], 'D', label=graphlabel_bc, color=line.get_color())
 
            # Plot 3: R1_rho as function of as function of disp_point, the Spin-lock field strength
            plt.figure(3)
            line, = plt.plot(val_dics['point_inter'], val_dics['R1_rho_inter'], '-', label=graphlabel_inter)
            plt.errorbar(val_dics['point'], val_dics['R1_rho'], yerr=val_dics['R1_rho_err'], fmt='o', label=graphlabel, color=line.get_color())
            plt.plot(val_dics['point'], val_dics['R1_rho_bc'], 'D', label=graphlabel_bc, color=line.get_color())
            plt.plot(val_dics['point'], val_dics['fake_R1_rho'], '*', label=graphlabel_fake, color=line.get_color())
 
 
# Define settings for each graph
# Plot 1: R1_rho as function of theta.
fig1 = plt.figure(1)
plt.xlabel(xlabel_theta)
plt.ylabel(ylabel_R1_rho)
plt.legend(loc='best', prop={'size':legend_size})
plt.grid(True)
#plt.ylim([0,16])
plt.title("%s \n %s as function of %s"%(spin_inte, ylabel_R1_rho, xlabel_theta))
fig1.set_size_inches(img_inch_x, img_inch_y)
plt.savefig("matplotlib_%s_%s_theta_sep.png"%(spin_inte_rep, filesave_R1_rho) )
 
## Plot 2: R1_rho_R2eff as function of w_eff
fig2 = plt.figure(2)
plt.xlabel(xlabel_w_eff)
plt.ylabel(ylabel_R1_rho_R2eff)
plt.legend(loc='best', prop={'size':legend_size})
plt.grid(True)
#plt.ylim([0,16])
#plt.xlim([0,20000*20000])
plt.xlim([0,20000])
plt.title("%s \n %s as function of %s"%(spin_inte, ylabel_R1_rho_R2eff, xlabel_w_eff))
fig2.set_size_inches(img_inch_x, img_inch_y)
plt.savefig("matplotlib_%s_%s_w_eff.png"%(spin_inte_rep, filesave_R1_rho_R2eff) )
 
## Plot 3: R1_rho as function of as function of disp_point, the Spin-lock field strength
fig3 = plt.figure(3)
plt.xlabel(xlabel_lock)
plt.ylabel(ylabel_R1_rho)
plt.legend(loc='best', prop={'size':legend_size})
plt.grid(True)
#plt.ylim([0,16])
plt.title("%s \n %s as function of %s"%(spin_inte, ylabel_R1_rho, xlabel_lock))
fig3.set_size_inches(img_inch_x, img_inch_y)
plt.savefig("matplotlib_%s_%s_disp.png"%(spin_inte_rep, filesave_R1_rho_R2eff) )

plt.show()

Bugs ?

Do you get an error with matplotlib about dateutil? Then see Matplotlib_dateutil_bug

Difference between revisions of "Matplotlib DPL94 R1rho R2eff"

Latest revision as of 15:53, 6 November 2015

Contents

About

References

Figures

Make graphs

The outcome

To run

Code

Bugs ?

See also

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@@ Line 1: / Line 1: @@
+__TOC__
 == About ==
+The production to these figures relates to the Suppport Request:<br>
+[https://gna.org/support/?3124 sr #3124: Grace graphs production for R1rho analysis with R2_eff as function of Omega_eff]
+== References ==
+[http://www.nmr-relax.com/manual/Dispersion_model_summary.html Refer to the manual for parameter explanation]
+* {{#lst:Citations|Evenäs01}}
+* {{#lst:Citations|KempfLoria04}}
+* {{#lst:Citations|Massi05}}
+* {{#lst:Citations|Palmer01}}
+* {{#lst:Citations|PalmerMassi06}}
+=== Figures ===
+Ref [1], Figure 1.b.
+'''The bell-curves''' As function of angle calculation.
+Ref [1], Figure 1.c.
+The wanted graph. No clear "name" for the calculated parameter.
+Ref [2], Equation 27.
+Here the calculated value is noted as: {{:Reff}} = {{:R1rho}} / sin<sup>2</sup>(θ) - {{:R1}} / tan<sup>2</sup>(θ) = {{:R2zero}} + {{:Rex}}, where {{:R2zero}} refers to {{:R1rhoprime}} as seen at [[DPL94]]
+Ref [3], Equation 20.
+Here the calculated value is noted as: {{:R2}} = {{:R1rho}} / sin<sup>2</sup>(θ) - {{:R1}} / tan<sup>2</sup>(θ).  Figure 11+16, would be the reference.
+Ref [4], Equation 43. {{:Reff}} = {{:R1rho}} / sin<sup>2</sup>(θ) - {{:R1}} / tan<sup>2</sup>(θ).
+Ref [5], Material and Methods, page 740. Here the calculated value is noted as: {{:R2}}: {{:R2}} = {{:R2zero}} + {{:Rex}}.  Figure 4 would be the wished graphs.
+A little table of conversion then gives
+<source lang="text">
+Relax equation    |   Relax store    | Articles
+---------------------------------------------------------------
+R1rho'                spin.r2             R^{0}_2 or Bar{R}_2
+Fitted pars           Not stored          R_ex
+R1rho                 spin.r2eff          R1rho
+R_1                   spin.ri_data['R1']  R_1 or Bar{R}_1
+</source>
+The parameter is called R_2 or R_eff in the articles.
+Since reff is not used in relax, this could be used?
+A description could be:
+* The effective rate
+* The effective transverse relaxation rate constant
+* The effective relaxation rate constant.
+== Make graphs ==
+=== The outcome ===
+[[File:Matplotlib 52 N R1 rho theta sep.png|center|upright=2|Figure 1]]
+[[File:Matplotlib 52 N R1 rho R2eff w eff.png|center|upright=2|Figure 2]]
+[[File:Matplotlib 52 N R1 rho R2eff disp.png|center|upright=2|Figure 3]]
+== To run ==
+<source lang="bash">
+relax -p r1rhor2eff.py
+</source>
+=== Code ===
-== Code ==
+{{Collapsible script
-File: '''r1rhor2eff.py'''
+| title  = r1rhor2eff.py Python script
-<source lang="python">
+| lang   = python
+| script =
 ### python imports
 import sys
 import os
-from math import cos, sin
+from math import cos, sin, sqrt, pi
 from numpy import array, float64
 ### plotting facility.
 import matplotlib.pyplot as plt
 # Ordered dictionary
 import collections
 ### relax modules
 # Import some tools to loop over the spins.
@@ Line 22: / Line 88: @@
 from specific_analyses.relax_disp.disp_data import calc_rotating_frame_params, generate_r20_key, loop_exp_frq, loop_exp_frq_offset, loop_point, return_param_key_from_data, return_spin_lock_nu1
 from specific_analyses.relax_disp import optimisation
+from lib.nmr import frequency_to_Hz, frequency_to_ppm, frequency_to_rad_per_s
 ###############
 # You have to provide a DPL94 results state file
 res_folder = "resultsR1"
 #res_folder = "results_clustering"
 res_state = os.path.join(res_folder, "DPL94", "results")
-spin_inte = ":52@N"
+spin_inte = ":44@N"
+# Make a fake spin, from the spin of interest
+fake_spin_inte = spin_inte.replace("N","X")
 # Interpolate graph settings
 #num_points=1000, extend=500.0
 num_points=100
 extend=5000.0
 ################
 spin_inte_rep = spin_inte.replace('#', '_').replace(':', '_').replace('@', '_')
 # Load the state
 state.load(res_state, force=True)
+# Get the dictionary key
+for exp_type, frq in loop_exp_frq():
+    r20_key = generate_r20_key(exp_type=exp_type, frq=frq)
 # Show pipes
 pipe.display()
 pipe.current()
 # Get the spin of interest and save it in cdp, to access it after execution of script.
 cdp.myspin = return_spin(spin_inte)
+# Copy the parameters from spin of interest to a fake spin to be modified.
+spin.copy(spin_from=spin_inte, spin_to=fake_spin_inte)
+# Returnspin
+cdp.fakespin = return_spin(fake_spin_inte)
+# Modify data
+if spin_inte == ":52@N":
+    # Set reference data
+    cdp.fakespin.r2[r20_key] = 6.51945
+    cdp.fakespin.kex = 13193.82986
+    cdp.fakespin.kex_err = 2307.09152
+    phi_ex_rad2_s2 = 93499.92172
+    phi_ex_err_rad2_s2 = 33233.23039
+    scaling_rad2_s2 = frequency_to_ppm(frq=1/(2*pi), B0=cdp.spectrometer_frq_list[0], isotope='15N')**2
+    print scaling_rad2_s2
+    cdp.fakespin.phi_ex = phi_ex_rad2_s2*scaling_rad2_s2
+    cdp.fakespin.phi_ex_err = phi_ex_err_rad2_s2*scaling_rad2_s2
+    print cdp.myspin.ri_data['R1'], cdp.myspin.ri_data_err['R1'], cdp.myspin.r2[r20_key], cdp.myspin.kex, cdp.myspin.phi_ex
+    print cdp.fakespin.ri_data['R1'], cdp.fakespin.ri_data_err['R1'], cdp.fakespin.r2[r20_key], cdp.fakespin.kex, cdp.fakespin.phi_ex
 # Calculate the offset data
-theta_spin_dic, Domega_spin_dic, w_eff_spin_dic, dic_key_list = calc_rotating_frame_params(spin=cdp.myspin, spin_id=spin_inte, verbosity=1)
+theta_spin_dic, Domega_spin_dic, w_eff_spin_dic, dic_key_list = calc_rotating_frame_params(spin=cdp.myspin, spin_id=spin_inte, verbosity=0)
 # Save the data in cdp to access it after execution of script.
 cdp.myspin.theta_spin_dic = theta_spin_dic
 cdp.myspin.w_eff_spin_dic = w_eff_spin_dic
 cdp.myspin.dic_key_list = dic_key_list
 ############################
 # First creacte back calculated R2eff data for interpolated plots.
 ############################
+# Return the original structure for frq, offset
+spin_lock_nu1 = return_spin_lock_nu1(ref_flag=False)
+# Back calculate R2eff data for the set parameters.
+cdp.fakespin.back_calc = optimisation.back_calc_r2eff(spin=cdp.fakespin, spin_id=fake_spin_inte, spin_lock_nu1=spin_lock_nu1)
-# Return the original structure for frq, offset
-spin_lock_nu1 = return_spin_lock_nu1(ref_flag=False)
 # Prepare list to hold new data
 spin_lock_nu1_new = []
 # Loop over the structures to generate data
 for ei in range(len(spin_lock_nu1)):
      # Add a new dimension.
      spin_lock_nu1_new.append([])
      # Then loop over the spectrometer frequencies.
      for mi in range(len(spin_lock_nu1[ei])):
          # Add a new dimension.
          spin_lock_nu1_new[ei].append([])
          # Finally the offsets.
          for oi in range(len(spin_lock_nu1[ei][mi])):
              # Add a new dimension.
              spin_lock_nu1_new[ei][mi].append([])
              # No data.
              if not len(spin_lock_nu1[ei][mi][oi]):
                  continue
              # Interpolate (adding the extended amount to the end).
              for di in range(num_points):
@@ Line 91: / Line 190: @@
              # Intersert field 0
              #spin_lock_nu1_new[ei][mi][oi][0] = 0.0
              # Convert to a numpy array.
              spin_lock_nu1_new[ei][mi][oi] = array(spin_lock_nu1_new[ei][mi][oi], float64)
 # Then back calculate R2eff data for the interpolated points.
 cdp.myspin.back_calc = optimisation.back_calc_r2eff(spin=cdp.myspin, spin_id=spin_inte, spin_lock_nu1=spin_lock_nu1_new)
 # Calculate the offset data, interpolated
 theta_spin_dic_inter, Domega_spin_dic_inter, w_eff_spin_dic_inter, dic_key_list_inter = calc_rotating_frame_params(spin=cdp.myspin, spin_id=spin_inte, fields = spin_lock_nu1_new, verbosity=0)
 ###### Store the data before plotting
 # Create a dictionary to hold data
 cdp.mydic = collections.OrderedDict()
 # Loop over the data structures and save to dictionary
 for exp_type, frq, offset, ei, mi, oi in loop_exp_frq_offset(return_indices=True):
-    r20_key = generate_r20_key(exp_type=exp_type, frq=frq)
      # This is not used, but could be used to get Rex.
      R1_rho_prime = cdp.myspin.r2[r20_key]
+    #print R1_rho_prime
      # Get R1
      R1 = cdp.myspin.ri_data['R1']
      R1_err = cdp.myspin.ri_data_err['R1']
      # Add to dic
      if exp_type not in cdp.mydic:
@@ Line 135: / Line 233: @@
          cdp.mydic[exp_type][frq][offset]['R1_rho_bc'] = []
          cdp.mydic[exp_type][frq][offset]['R1_rho_inter'] = []
+        # Y val fake
+        cdp.mydic[exp_type][frq][offset]['fake_R1_rho'] = []
          # Y2 val
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff'] = []
@@ Line 140: / Line 242: @@
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_bc'] = []
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_inter'] = []
      # Loop over the original dispersion points.
      for point, di in loop_point(exp_type=exp_type, frq=frq, offset=offset, return_indices=True):
          param_key = return_param_key_from_data(exp_type=exp_type, frq=frq, offset=offset, point=point)
          # X val
          cdp.mydic[exp_type][frq][offset]['point'].append(point)
@@ Line 151: / Line 253: @@
          w_eff = w_eff_spin_dic[param_key]
          cdp.mydic[exp_type][frq][offset]['w_eff'].append(w_eff)
          # Average resonance spin_lock_offset
          #print Domega_spin_dic[param_key]
          # Y val
          R1_rho = cdp.myspin.r2eff[param_key]
@@ Line 162: / Line 264: @@
          R1_rho_bc = cdp.myspin.r2eff_bc[param_key]
          cdp.mydic[exp_type][frq][offset]['R1_rho_bc'].append(R1_rho_bc)
+        # Y val, fake
+        fake_R1_rho = cdp.fakespin.back_calc[ei][0][mi][oi][di]
+        cdp.mydic[exp_type][frq][offset]['fake_R1_rho'].append(fake_R1_rho)
          # Y2 val
@@ Line 167: / Line 273: @@
          R1_rho_R2eff = (R1_rho - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff'].append(R1_rho_R2eff)
          R1_rho_R2eff_err = (R1_rho_err - R1_err*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_err'].append(R1_rho_R2eff_err)
          R1_rho_R2eff_bc = (R1_rho_bc - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_bc'].append(R1_rho_R2eff_bc)
      ## Loop over the new dispersion points.
      for di in range(len(cdp.myspin.back_calc[ei][0][mi][oi])):
          point = spin_lock_nu1_new[ei][mi][oi][di]
          param_key = return_param_key_from_data(exp_type=exp_type, frq=frq, offset=offset, point=point)
          # X val
          cdp.mydic[exp_type][frq][offset]['point_inter'].append(point)
@@ Line 185: / Line 291: @@
          w_eff = w_eff_spin_dic_inter[param_key]
          cdp.mydic[exp_type][frq][offset]['w_eff_inter'].append(w_eff)
          # Y val
          R1_rho = cdp.myspin.back_calc[ei][0][mi][oi][di]
          cdp.mydic[exp_type][frq][offset]['R1_rho_inter'].append(R1_rho)
          # Y2 val
          # Calc R1_rho_R2eff
          R1_rho_R2eff = (R1_rho - R1*cos(theta)*cos(theta)) / (sin(theta) * sin(theta))
          cdp.mydic[exp_type][frq][offset]['R1_rho_R2eff_inter'].append(R1_rho_R2eff)
          #if oi == 0:
              #print exp_type, frq, offset, point, theta, w_eff
 ####### PLOT ####
 ## Define labels for plotting
 filesave_R1_rho_R2eff = 'R1_rho_R2eff'
 filesave_R1_rho = 'R1_rho'
 # For writing math in matplotlib, see
 # http://matplotlib.org/1.3.1/users/mathtext.html
 ylabel_R1_rho = r'R$_{1\rho}$ [rad s$^{-1}$]'
-ylabel_R1_rho_R2eff = r'R$_{1\rho, R_{2,eff}}$ [rad s$^{-1}$]'
+ylabel_R1_rho_R2eff = r'R$_{1\rho}$, R$_{2,eff}$ [rad s$^{-1}$]'
 xlabel_theta = 'Rotating frame tilt angle [rad]'
 xlabel_w_eff = r'Effective field in rotating frame [rad s$^{-1}$]'
 xlabel_lock = 'Spin-lock field strength [Hz]'
 # Set image inches size
 img_inch_x = 12
 img_inch_y = img_inch_x / 1.6
 legend_size = 6
 # Plot values in dic
 for exptype, frq_dic in cdp.mydic.items():
@@ Line 228: / Line 334: @@
              graphlabel_bc = "%3.1f_%3.3f_bc"%(frq/1E6, offset)
              graphlabel_inter = "%3.1f_%3.3f_inter"%(frq/1E6, offset)
+            graphlabel_fake = "%3.1f_%3.3f_fake"%(frq/1E6, offset)
              # Plot 1: R1_rho as function of theta.
              plt.figure(1)
@@ Line 234: / Line 341: @@
              plt.errorbar(val_dics['theta'], val_dics['R1_rho'], yerr=val_dics['R1_rho_err'], fmt='o', label=graphlabel, color=line.get_color())
              plt.plot(val_dics['theta'], val_dics['R1_rho_bc'], 'D', label=graphlabel_bc, color=line.get_color())
              # Plot 2: R1_rho_R2eff as function of w_eff
              plt.figure(2)
@@ Line 245: / Line 352: @@
              plt.errorbar(val_dics['w_eff'], val_dics['R1_rho_R2eff'], yerr=val_dics['R1_rho_R2eff_err'], fmt='o', label=graphlabel, color=line.get_color())
              plt.plot(val_dics['w_eff'], val_dics['R1_rho_R2eff_bc'], 'D', label=graphlabel_bc, color=line.get_color())
              # Plot 3: R1_rho as function of as function of disp_point, the Spin-lock field strength
              plt.figure(3)
@@ Line 251: / Line 358: @@
              plt.errorbar(val_dics['point'], val_dics['R1_rho'], yerr=val_dics['R1_rho_err'], fmt='o', label=graphlabel, color=line.get_color())
              plt.plot(val_dics['point'], val_dics['R1_rho_bc'], 'D', label=graphlabel_bc, color=line.get_color())
+             plt.plot(val_dics['point'], val_dics['fake_R1_rho'], '*', label=graphlabel_fake, color=line.get_color())
 # Define settings for each graph
 # Plot 1: R1_rho as function of theta.
@@ Line 260: / Line 368: @@
 plt.legend(loc='best', prop={'size':legend_size})
 plt.grid(True)
-plt.ylim([0,16])
+#plt.ylim([0,16])
 plt.title("%s \n %s as function of %s"%(spin_inte, ylabel_R1_rho, xlabel_theta))
 fig1.set_size_inches(img_inch_x, img_inch_y)
 plt.savefig("matplotlib_%s_%s_theta_sep.png"%(spin_inte_rep, filesave_R1_rho) )
 ## Plot 2: R1_rho_R2eff as function of w_eff
 fig2 = plt.figure(2)
@@ Line 271: / Line 379: @@
 plt.legend(loc='best', prop={'size':legend_size})
 plt.grid(True)
-plt.ylim([0,16])
+#plt.ylim([0,16])
 #plt.xlim([0,20000*20000])
 plt.xlim([0,20000])
@@ Line 277: / Line 385: @@
 fig2.set_size_inches(img_inch_x, img_inch_y)
 plt.savefig("matplotlib_%s_%s_w_eff.png"%(spin_inte_rep, filesave_R1_rho_R2eff) )
 ## Plot 3: R1_rho as function of as function of disp_point, the Spin-lock field strength
 fig3 = plt.figure(3)
@@ Line 284: / Line 392: @@
 plt.legend(loc='best', prop={'size':legend_size})
 plt.grid(True)
-plt.ylim([0,16])
+#plt.ylim([0,16])
 plt.title("%s \n %s as function of %s"%(spin_inte, ylabel_R1_rho, xlabel_lock))
 fig3.set_size_inches(img_inch_x, img_inch_y)
@@ Line 290: / Line 398: @@
 plt.show()
-</source>
+}}
-== To run ==
+== Bugs ? ==
-<source lang="bash">
+Do you get an error with matplotlib about dateutil? Then see [[Matplotlib_dateutil_bug]]
-relax -p r1rhor2eff.py
-</source>
 == See also ==
 [[Category:Matplotlib]]
-[[Category:Relaxation_dispersion]]
+[[Category:Relaxation_dispersion analysis]]