cleared up more errors

This commit is contained in:
ralf 2024-07-11 13:24:08 +03:00
parent 7cf6590f94
commit eb32120675
3 changed files with 85 additions and 54 deletions

1
.gitignore vendored Normal file
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@ -0,0 +1 @@
ltcc_current.h5

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@ -1,18 +1,13 @@
# -*- coding: utf-8 -*-
import numpy as np import numpy as np
import matplotlib.pyplot as plt import matplotlib.pyplot as plt
from scipy.integrate import ode from scipy.integrate import ode
# %% Constants
R = 8.314 # ideal gas constant (J/(mol*K)) R = 8.314 # ideal gas constant (J/(mol*K))
F = 96.485 # coulomb_per_millimole, Faraday constant F = 96.485 # coulomb_per_millimole, Faraday constant
T = 298 # room temperature (K) T = 298 # room temperature (K)
RT = R * T RT = R * T
# %% model
class Model: class Model:
def __init__(self): def __init__(self):
@ -20,48 +15,64 @@ class Model:
self.C_mem = 1.0 # uF/cm2 Specific membrane capacitance self.C_mem = 1.0 # uF/cm2 Specific membrane capacitance
self.V_myo = 25.84e-6 # uL, Myoplasmic volume self.V_myo = 25.84e-6 # uL, Myoplasmic volume
self.current2flux = self.A_cap * self.C_mem / 2 / F # self.current2flux = self.A_cap * self.C_mem / 2 / F #
self.period = 1000 # ms, pulse period self.period = 1000 # ms, pulse period
self.V_mem_rest = -80.0 # mV, resting membrane potential self.V_mem_rest = -80.0 # mV, resting membrane potential
self.Nai = 11000 # uM, Myoplasmic Na+ concentration self.Nai = 11000 # uM, Myoplasmic Na+ concentration
self.Nao = 150000 # uM, Extracellular Na+ concentration self.Nao = 150000 # uM, Extracellular Na+ concentration
self.eta = 0.35 # Controls voltage dependance of Na/Ca2+ exchange self.eta = 0.35 # Controls voltage dependance of Na/Ca2+ exchange
self.km_Na = 87500 # uM, Na+ half-saturation constant for Na+/Ca2+ exchange self.km_Na = 87500 # uM, Na+ half-saturation constant for Na+/Ca2+ exchange
self.k_sat = ( self.k_sat = (
0.1 # Na+/Ca2+ exchange saturation factor at very negative potentials 0.1 # Na+/Ca2+ exchange saturation factor at very negative potentials
) )
self.km_Ca = (1380,) # uM, Ca2+ half-saturation constant for Na+/Ca2+ exchange self.km_Ca = (1380,) # uM, Ca2+ half-saturation constant for Na+/Ca2+ exchange
self.k_Na_Ca = 292.8 # pA/pF, Scaling factor of Na2+/Ca2+ exchange self.k_Na_Ca = 292.8 # pA/pF, Scaling factor of Na2+/Ca2+ exchange
self.I_max_pCa = 1.0 # pA/pF, Maximum Ca2+ pump current self.I_max_pCa = 1.0 # pA/pF, Maximum Ca2+ pump current
# self.Cai = 0.1 # uM, Cytoplasmic Ca2+ concentration fixed at this point # self.Cai = 0.1 # uM, Cytoplasmic Ca2+ concentration fixed at this point
self.LTRPN_tot = ( self.LTRPN_tot = (
70.0 # uM, Total myoplasmic troponin low-affinity site concentration 70.0 # uM, Total myoplasmic troponin low-affinity site concentration
) )
self.HTRPN_tot = ( self.HTRPN_tot = (
140.0 # uM, Total myoplasmic troponin high-affinity site concentration 140.0 # uM, Total myoplasmic troponin high-affinity site concentration
) )
# self.LTRPNCa = 11.2684 # uM, Concentration Ca2+ bound low-affinity troponin-binding sites # self.LTRPNCa = 11.2684 # uM, Concentration Ca2+ bound low-affinity troponin-binding sites
# self.HTRPNCa = 125.290 # uM, Concentration Ca2+ bound high-affinity troponin-binding sites # self.HTRPNCa = 125.290 # uM, Concentration Ca2+ bound high-affinity troponin-binding sites
self.k_htrpn_positive = ( self.k_htrpn_positive = (
0.00237 # uM^(-1)/ms, Ca2+ on rate const. for troponin high-affinity sites 0.00237 # uM^(-1)/ms, Ca2+ on rate const. for troponin high-affinity sites
) )
self.k_htrpn_negative = ( self.k_htrpn_negative = (
3.2e-5 # ms, Ca2+ off rate const. for troponin high-affinity sites 3.2e-5 # ms, Ca2+ off rate const. for troponin high-affinity sites
) )
self.k_ltrpn_positive = ( self.k_ltrpn_positive = (
0.0327 # uM^(-1)/ms, Ca2+ on rate const. for troponin low-affinity sites 0.0327 # uM^(-1)/ms, Ca2+ on rate const. for troponin low-affinity sites
) )
self.k_ltrpn_negative = ( self.k_ltrpn_negative = (
0.0196 # ms, Ca2+ off rate const. for troponin low-affinity sites 0.0196 # ms, Ca2+ off rate const. for troponin low-affinity sites
) )
self.CMDN_tot = 50 # uM, Total myoplasmic calmodulin concentration self.CMDN_tot = 50 # uM, Total myoplasmic calmodulin concentration
self.Km_CMDN = 0.238 # uM, Ca2 half-saturation constant for calmodulin self.Km_CMDN = 0.238 # uM, Ca2 half-saturation constant for calmodulin
self.nu_1 = 4.5 # 1/ms, Maximum RyR channel Ca2+ permeability Ca2+ leak rate constant from the NSR self.nu_1 = 4.5 # 1/ms, Maximum RyR channel Ca2+ permeability Ca2+ leak rate constant from the NSR
self.nu_2 = 1.74e-5 # ms^(-1), Ca2+ leak rate const. from the NSR self.nu_2 = 1.74e-5 # ms^(-1), Ca2+ leak rate const. from the NSR
self.nu_3 = 0.45 # uM/ms, SR Ca2+ -ATPase maximum pupmp rate self.nu_3 = 0.45 # uM/ms, SR Ca2+ -ATPase maximum pupmp rate
self.Km_up = 0.5 # uM, Half-saturation constant for SR Ca2+ -ATPase pump self.Km_up = 0.5 # uM, Half-saturation constant for SR Ca2+ -ATPase pump
self.km_p_ca = 0.5 # uM, Ca2+ half-saturation constant for Ca2+ pump current self.km_p_ca = 0.5 # uM, Ca2+ half-saturation constant for Ca2+ pump current
# self.Ca_NSR = 1299.50 # uM,NSR Ca2+ concentration # self.Ca_NSR = 1299.50 # uM,NSR Ca2+ concentration
self.tau_xfer = 8.0 # ms, Time constant for transfer from subspace to myoplasm self.tau_xfer = 8.0 # ms, Time constant for transfer from subspace to myoplasm
self.K_pc_max = ( self.K_pc_max = (
0.23324 # 1/ms, Maximum time constant for Ca2+-induced inactivation 0.23324 # 1/ms, Maximum time constant for Ca2+-induced inactivation
) )
@ -70,29 +81,37 @@ class Model:
) )
self.Kpcb = 0.0005 # 1/ms, Voltage-insensitive rate constant for inactivation self.Kpcb = 0.0005 # 1/ms, Voltage-insensitive rate constant for inactivation
self.km_Ca = 1380 # uM, Ca2+ half-saturation constant for Na+/Ca2+ exchange self.km_Ca = 1380 # uM, Ca2+ half-saturation constant for Na+/Ca2+ exchange
self.Gcab = 0.000367 # mS/uF self.Gcab = 0.000367 # mS/uF
self.Cao = 1130.0 # uM, Ca2+ outside the cell self.Cao = 1130.0 # uM, Ca2+ outside the cell
self.gCaL = ( self.gCaL = (
0.1729 # mS/uF, Specific maximum conductivity for L-type Ca2+ channel 0.1729 # mS/uF, Specific maximum conductivity for L-type Ca2+ channel
) )
self.ECaL = 43.0 # mV, Reversal potential for L-type Ca2⫹ channel, kas arvutame voi jaab const? self.ECaL = 43.0 # mV, Reversal potential for L-type Ca2⫹ channel, kas arvutame voi jaab const?
self.V_ss = 1.485e-9 # uL, Dyadic aka subspace volume self.V_ss = 1.485e-9 # uL, Dyadic aka subspace volume
# self.Ca_JSR = 1299.50 # uM, JSR Ca2+ concentration # self.Ca_JSR = 1299.50 # uM, JSR Ca2+ concentration
self.F_tot = 25 # uM, total concentration of Fluo-4 self.F_tot = 25 # uM, total concentration of Fluo-4
self.k_on = 0.1 # 1/uM * 1/ms, Fluo-4 reaction rate constant self.k_on = 0.1 # 1/uM * 1/ms, Fluo-4 reaction rate constant
self.k_off = 0.11 # 1/ms, Fluo-4 reaction rate constant 2 self.k_off = 0.11 # 1/ms, Fluo-4 reaction rate constant 2
self.V_NSR = 2.098e-6 # ul, Network SR volume self.V_NSR = 2.098e-6 # ul, Network SR volume
self.tau_tr = 20 # ms, Time const for transfer from NSR to JSR self.tau_tr = 20 # ms, Time const for transfer from NSR to JSR
self.CSQN_tot = 15000.0 # uM, total junctional SR calsequestrin concentration self.CSQN_tot = 15000.0 # uM, total junctional SR calsequestrin concentration
self.Km_CSQN = 800.0 # uM, Ca2 half-saturation constant for calsequestrin self.Km_CSQN = 800.0 # uM, Ca2 half-saturation constant for calsequestrin
self.k_a_positive = 0.006075 # uM^(-4)/ms, RyR Pc1 - Po1 rate constant self.k_a_positive = 0.006075 # uM^(-4)/ms, RyR Pc1 - Po1 rate constant
self.k_a_negative = 0.07125 # 1/ms, RyR Po1 - Pc1 rate constant self.k_a_negative = 0.07125 # 1/ms, RyR Po1 - Pc1 rate constant
self.k_b_positive = 0.00405 # uM^(-3)/ms, RyR Po1 - Po2 rate constant self.k_b_positive = 0.00405 # uM^(-3)/ms, RyR Po1 - Po2 rate constant
self.k_b_negative = 0.965 # 1/ms, RyR Po2 - Po1 rate constant self.k_b_negative = 0.965 # 1/ms, RyR Po2 - Po1 rate constant
self.k_c_positive = 0.009 # 1/ms, RyR Po1 - Pc2 rate constant self.k_c_positive = 0.009 # 1/ms, RyR Po1 - Pc2 rate constant
self.k_c_negative = 0.0008 # 1/ms, RyR Pc2 - Po1 rate constant self.k_c_negative = 0.0008 # 1/ms, RyR Pc2 - Po1 rate constant
self.n_ryr = 4 # RyR Ca2+ cooperativity parameter Pc1 - Po1 self.n_ryr = 4 # RyR Ca2+ cooperativity parameter Pc1 - Po1
self.m_ryr = 3 # RyR Ca2+ cooperativity parameter Po1 - Po2 self.m_ryr = 3 # RyR Ca2+ cooperativity parameter Po1 - Po2
self.I_CaL_max = 7.0 # pA/pF, normalization constant for L-type Ca2+ current self.I_CaL_max = 7.0 # pA/pF, normalization constant for L-type Ca2+ current
self.V_JSR = 0.12e-6 # ul, Junctional SR volume self.V_JSR = 0.12e-6 # ul, Junctional SR volume
@ -180,11 +199,11 @@ class Model:
Bi = 1 / ( Bi = 1 / (
1 + (self.CMDN_tot * self.Km_CMDN) / (self.Km_CMDN + Cai) ** 2 1 + (self.CMDN_tot * self.Km_CMDN) / (self.Km_CMDN + Cai) ** 2
) # A6 !!!!!!! korras V8 )
Bss = 1 / ( Bss = 1 / (
1 + (self.CMDN_tot * self.Km_CMDN) / (self.Km_CMDN + Cass) ** 2 1 + (self.CMDN_tot * self.Km_CMDN) / (self.Km_CMDN + Cass) ** 2
) # A7 !!!!!!!!! korras V8 )
J_xfer = (Cass - Cai) / self.tau_xfer J_xfer = (Cass - Cai) / self.tau_xfer
@ -199,7 +218,7 @@ class Model:
- self.k_htrpn_negative * HTRPNCa - self.k_htrpn_negative * HTRPNCa
+ self.k_ltrpn_positive + self.k_ltrpn_positive
* Cai * Cai
* (self.LTRPN_tot - LTRPNCa) # !!!!!! korras v8 * (self.LTRPN_tot - LTRPNCa)
- self.k_ltrpn_negative * LTRPNCa - self.k_ltrpn_negative * LTRPNCa
) )
@ -207,7 +226,7 @@ class Model:
J_tr = (Ca_NSR - Ca_JSR) / self.tau_tr J_tr = (Ca_NSR - Ca_JSR) / self.tau_tr
J_leak = self.nu_2 * (Ca_NSR - Cai) # puudu CaNSR diff vorrand J_leak = self.nu_2 * (Ca_NSR - Cai)
dCa_NSRdt = (J_up - J_leak) * (self.V_myo / self.V_NSR) dCa_NSRdt = (J_up - J_leak) * (self.V_myo / self.V_NSR)
-J_tr * (self.V_JSR / self.V_NSR) -J_tr * (self.V_JSR / self.V_NSR)
@ -239,7 +258,9 @@ class Model:
P_C1 = 1 - (P_C2 + P_O1 + P_O2) P_C1 = 1 - (P_C2 + P_O1 + P_O2)
dP_O1dt = self.k_a_positive * (Cass) ** self.n_ryr * P_C1 dP_O1dt = (
self.k_a_positive * (Cass) ** self.n_ryr * P_C1
)
-self.k_a_negative * P_O1 - self.k_a_positive * (Cass) ** self.m_ryr * P_O1 -self.k_a_negative * P_O1 - self.k_a_positive * (Cass) ** self.m_ryr * P_O1
+self.k_b_negative * P_O2 - self.k_c_positive * P_O1 + self.k_c_negative * P_C2 +self.k_b_negative * P_O2 - self.k_c_positive * P_O1 + self.k_c_negative * P_C2
@ -265,7 +286,7 @@ class Model:
- (I_Cab - 2 * I_NaCa + I_pCa) * ((self.A_cap * self.C_mem)/(2 * self.V_myo * F))) - (I_Cab - 2 * I_NaCa + I_pCa) * ((self.A_cap * self.C_mem)/(2 * self.V_myo * F)))
""" """
# J_rel_caf = self.nu_1 * (self.Ca_JSR - Cass) # J_rel_caf = self.nu_1 * (self.Ca_JSR - Cass) #lisatud ette ennetavalt
JFCa = self.k_on * (self.F_tot - FCa) * Cai - self.k_off * FCa JFCa = self.k_on * (self.F_tot - FCa) * Cai - self.k_off * FCa

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@ -4,18 +4,19 @@ import pylab as plt
import pandas as pd import pandas as pd
import re import re
from scipy.optimize import least_squares from scipy.optimize import least_squares
from scipy.linalg import svd
from Model import Model from Model import Model
from Data import Data from Data import Data
class Fitter: class Fitter:
def __init__(self, model: Model, data: Data, current_fit_range: tuple = (107, 341)) -> None: def __init__(
self, model: Model, data: Data, current_fit_range: tuple = (107, 341)
) -> None:
""" """
current_fit_range : tuple (t0, t1), t0 nad t1 are start and stop times in between current is fitted current_fit_range : tuple (t0, t1), t0 nad t1 are start and stop times in between current is fitted
""" """
self.model = model self.model = model
self.data = data self.data = data
self.current_fit_range = current_fit_range self.current_fit_range = current_fit_range
@ -60,19 +61,21 @@ class Fitter:
model.solve(times=self.time_points) model.solve(times=self.time_points)
_calc_curr = model.calculated_current() _calc_curr = model.calculated_current()
calculated_current = self.convolve_current(_calc_curr, tau=tau_RC)[self.current_time_indecies] + offset calculated_current = (
self.convolve_current(_calc_curr, tau=tau_RC)[self.current_time_indecies]
+ offset
)
res = self.measured_current - calculated_current res = self.measured_current - calculated_current
err = np.mean(res**2) # mean squared error err = np.mean(res**2) # mean squared error
self.iteration += 1 self.iteration += 1
print(self.iteration, parameters.tolist(), "err", err) print(self.iteration, parameters.tolist(), "err", err)
# measured_fluo = self.data.fluo
# fluo_interplolator = interp1d(self.time_domain, model.calculated_fluo)
# calculated_fluo = fluo_interplolator(self.data.fluo_time)
if self.iteration < -0: if self.iteration < -0:
t = self.time_points[self.current_time_indecies] t = self.time_points[self.current_time_indecies]
plt.plot(t, _calc_curr[self.current_time_indecies], label="calculated current") plt.plot(
t, _calc_curr[self.current_time_indecies], label="calculated current"
)
plt.plot(t, self.measured_current, label="measured current") plt.plot(t, self.measured_current, label="measured current")
plt.plot(t, calculated_current, label="conv calculated current") plt.plot(t, calculated_current, label="conv calculated current")
plt.plot(t, self.measured_current - calculated_current, label="error") plt.plot(t, self.measured_current - calculated_current, label="error")
@ -80,9 +83,8 @@ class Fitter:
plt.ylabel("current, pA/pF") plt.ylabel("current, pA/pF")
plt.legend(frameon=False) plt.legend(frameon=False)
plt.show() plt.show()
# exit()
return res, err # , measured_fluo - calculated_fluo) return res # , measured_fluo - calculated_fluo)
def optimize(self, init_parameters=None): def optimize(self, init_parameters=None):
t0 = time.time() t0 = time.time()
@ -95,15 +97,17 @@ class Fitter:
offset = 0 offset = 0
d = self.data d = self.data
init_parameters = np.array([d.gGaL, d.ECal, K_pc_half, tau_xfer, tau_RC, offset]) init_parameters = np.array(
[d.gGaL, d.ECal, K_pc_half, tau_xfer, tau_RC, offset]
)
print(init_parameters.tolist()) print(init_parameters.tolist())
bounds = ( bounds = (
(0.01, 10, 0.1, 0.1, 0.1, -5, -10), (0.01, 10, 0.1, 0.1, -5, -10),
(10, 100, 100, 1, 100, 10, 10), (10, 100, 100, 100, 10, 10),
) )
res, err = least_squares(self.cost_func, init_parameters, bounds=bounds, xtol=1e-10) res = least_squares(self.cost_func, init_parameters, bounds=bounds, xtol=1e-10)
print() print()
print(" Parameters: [gGaL, ECal, K_pc_half, tau_xfer, tau_RC, offset]") print(" Parameters: [gGaL, ECal, K_pc_half, tau_xfer, tau_RC, offset]")
print(" Initial:", init_parameters.tolist()) print(" Initial:", init_parameters.tolist())
@ -113,14 +117,19 @@ class Fitter:
gGaL, ECal, K_pc_half, tau_xfer, tau_RC, offset = res.x gGaL, ECal, K_pc_half, tau_xfer, tau_RC, offset = res.x
self.fit_results.update({ err = self.cost_func(res.x)
'gGaL': gGaL,
'ECal': ECal, self.fit_results.update(
'K_pc_half': K_pc_half, {
'tau_xfer': tau_xfer, "gGaL": gGaL,
'tau_RC': tau_RC, "ECal": ECal,
'offset': offset, "K_pc_half": K_pc_half,
'mean_squared_error': err}) "tau_xfer": tau_xfer,
"tau_RC": tau_RC,
"offset": offset,
"mean_squared_error": np.mean((err) ** 2),
}
)
model = self.model() model = self.model()
@ -135,27 +144,26 @@ class Fitter:
calculated_current = self.convolve_current(_calc_curr, tau=tau_RC) + offset calculated_current = self.convolve_current(_calc_curr, tau=tau_RC) + offset
print("Elapsed time:", time.time() - t0) print("Elapsed time:", time.time() - t0)
fig = plt.figure(figsize=(24, 12)) fig = plt.figure(figsize=(6, 3))
ax1 = fig.add_subplot(121) ax1 = fig.add_subplot(121)
ax2 = fig.add_subplot(122) ax2 = fig.add_subplot(122)
ax1.plot(1000 * self.data.current_t, self.data.current, label="Measured") ax1.plot(1000 * self.data.current_t, self.data.current, label="Mõõdetud")
ax1.plot(self.time_points, calculated_current, label="Calculated") ax1.plot(self.time_points, calculated_current, label="Arvutatud")
ax1.set_xlabel("time, ms") ax1.set_xlabel("Aeg [ms]")
ax1.set_ylabel("current, pA/pF") ax1.set_ylabel("Vool [pA/pF]")
ax1.legend(frameon=False) ax1.legend(frameon=False)
tp = self.time_points[self.current_time_indecies] tp = self.time_points[self.current_time_indecies]
ax2.plot(tp, self.measured_current, label="Measured") ax2.plot(tp, self.measured_current, label="Mõõdetud")
ax2.plot(tp, calculated_current[self.current_time_indecies], label="Calculated") ax2.plot(tp, calculated_current[self.current_time_indecies], label="Arvutatud")
ax2.set_xlabel("time, ms") ax2.set_xlabel("Aeg [ms]")
ax2.set_ylabel("current, pA/pF") ax2.set_ylabel("Vool [pA/pF]")
ax2.legend(frameon=False) ax2.legend(frameon=False)
return res, fig return res, fig
def covcor_from_lsq(res): def covcor_from_lsq(res):
_, s, VT = svd(res.jac, full_matrices=False) _, s, VT = np.linalg.svd(res.jac, full_matrices=False)
threshold = np.finfo(float).eps * max(res.jac.shape) * s[0] threshold = np.finfo(float).eps * max(res.jac.shape) * s[0]
s = s[s > threshold] s = s[s > threshold]
VT = VT[: s.size] VT = VT[: s.size]
@ -168,18 +176,18 @@ class Fitter:
return cov, cor return cov, cor
def plot_correlation_matrix(cor): def plot_correlation_matrix(cor):
plt.imshow(cor, cmap='viridis', interpolation='nearest') plt.imshow(cor, cmap="viridis", interpolation="nearest")
plt.colorbar(label='Correlation') plt.colorbar(label="Correlation")
plt.title('Correlation Matrix') plt.title("Correlation Matrix")
plt.xlabel('Variables') plt.xlabel("Variables")
plt.ylabel('Variables') plt.ylabel("Variables")
plt.show() plt.show()
if __name__ == "__main__": if __name__ == "__main__":
filename = "ltcc_current.h5" filename = "ltcc_current.h5"
eid = "0033635a51b096dc449eb9964e70443a67fc16b9587ae3ff6564eea1fa0e3437_2018.06.18 14:48:40" eid = "1c5ca4b12ae2ddffc3960c1fe39a3cce35967ce23dbac57c010f450e796d01fd_2017.11.27 14:07:04"
data = Data(filename, eid) data = Data(filename, eid)
@ -187,14 +195,16 @@ if __name__ == "__main__":
res, fig = fit.optimize() res, fig = fit.optimize()
fit_hist = pd.DataFrame.from_dict(fit.fit_results, orient='index').T fit_hist = pd.DataFrame.from_dict(fit.fit_results, orient="index").T
fit_hist.index.name = 'Iterations' fit_hist.index.name = "Iterations"
res_filename = f"fit_results_{eid}.csv" res_filename = f"fit_results_{eid}.csv"
res_filename = res_filename.replace(" ", "_").replace(":", "-") res_filename = res_filename.replace(" ", "_").replace(":", "-")
fit_hist.to_csv(res_filename, index=True) fit_hist.to_csv(res_filename, index=True)
eid_cleaned = re.sub(r'[^\w.-]', '', eid) # Eemalda kõik eritähed ja jääb alles alphanumbrilised tähed, sidekriipsud ja punktid eid_cleaned = re.sub(
r"[^\w.-]", "", eid
) # Eemalda kõik eritähed ja jääb alles alphanumbrilised tähed, sidekriipsud ja punktid
fig.savefig(f"plot_{eid_cleaned}.png") fig.savefig(f"plot_{eid_cleaned}.png")
fig.savefig(f"plot_{eid_cleaned}.pdf") fig.savefig(f"plot_{eid_cleaned}.pdf")
@ -202,5 +212,4 @@ if __name__ == "__main__":
# fig.savefig(f"{plot_filename}.png") # fig.savefig(f"{plot_filename}.png")
# fig.savefig(f"{plot_filename}.pdf") # fig.savefig(f"{plot_filename}.pdf")
fig.savefig("naidis_fit.pdf") fig.savefig("naidis_fit.pdf")
plt.show() plt.show()