reformat
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1 changed files with 272 additions and 277 deletions
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@ -25,45 +25,45 @@ from scipy import ndimage
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############### GLOBAL VARIABLES ###############
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# POPG molar ratio
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x_PG = 0.05
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CONST_x_PG = 0.05
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# ############## POPC and POPG ###############
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# 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine
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# 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphoglycerol
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# number of chain groups
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n_CH = 2
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n_CH2 = 28
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n_CH3 = 2
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CONST_n_CH = 2
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CONST_n_CH2 = 28
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CONST_n_CH3 = 2
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#X-ray scattering length chain groups (nm)
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b_CH = 1.97256E-05 ;
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b_CH2 = 2.25435E-05 ;
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b_CH3 = 2.53615E-05 ;
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CONST_b_CH = 1.97256E-05 ;
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CONST_b_CH2 = 2.25435E-05 ;
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CONST_b_CH3 = 2.53615E-05 ;
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### POPC
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# Lipid-head volume
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V_HL_PC = 0.331 # 0.320
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CONST_V_HL_PC = 0.331 # 0.320
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# X-ray scattering length of head groups (nm)
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b_PC = 2.73340E-04
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b_CG = 1.88802E-04
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b_PCN = 1.97256E-04
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b_Chol = 7.60844E-05
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CONST_b_PC = 2.73340E-04
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CONST_b_CG = 1.88802E-04
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CONST_b_PCN = 1.97256E-04
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CONST_b_Chol = 7.60844E-05
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# Lipid-volume temperature-dependencies a0 + a1*T (nm^3)
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a0_V_POPC = 1.22810311835285
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a1_V_POPC = 0.000934915795086395
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CONST_a0_V_POPC = 1.22810311835285
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CONST_a1_V_POPC = 0.000934915795086395
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### POPG
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# Lipid-head volume
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V_HL_PG = 0.289 ;
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CONST_V_HL_PG = 0.289 ;
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# X-ray Scattering length of head groups (nm)
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b_PG = 2.47979E-04
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b_PG1 = 1.32443E-04
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b_PG2 = 1.15536E-04
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CONST_b_PG = 2.47979E-04
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CONST_b_PG1 = 1.32443E-04
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CONST_b_PG2 = 1.15536E-04
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# Lipid-volume temperature-dependencies a0 + a1*T (nm^3)
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a0_V_POPG = 1.17881068602663
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a1_V_POPG = 0.00108364914520327
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CONST_a0_V_POPG = 1.17881068602663
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CONST_a1_V_POPG = 0.00108364914520327
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############### Other variables ###############
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@ -71,33 +71,33 @@ a1_V_POPG = 0.00108364914520327
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# V_PW = 24.5e-3 #(nm^3) Perkins 2001 (Hydration shell in proteins)
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# polynome coefficient for T-dependency of bulk-water-molecule volume (V_HW)
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# Units in degree Celsius
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p0_VW = 0.0299218
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p1_VW = -2.25941e-06
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p2_VW = 2.5675e-07
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p3_VW = -1.69661e-09
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p4_VW = 6.52029e-12
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CONST_p0_VW = 0.0299218
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CONST_p1_VW = -2.25941e-06
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CONST_p2_VW = 2.5675e-07
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CONST_p3_VW = -1.69661e-09
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CONST_p4_VW = 6.52029e-12
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# polynome coefficient for T-dependency of bulk-water molar concentration (Cw)
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#Units in degree Celsius
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p0_Cw = 55.5052
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p1_Cw = 0.00131894
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p2_Cw = -0.000334396
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p3_Cw = 9.10861e-07
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CONST_p0_Cw = 55.5052
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CONST_p1_Cw = 0.00131894
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CONST_p2_Cw = -0.000334396
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CONST_p3_Cw = 9.10861e-07
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b_HW = 2.8179E-05
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d_shl = 0.31 # (nm) Perkins 2001 (Hydration shell in proteins)
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CONST_b_HW = 2.8179E-05
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CONST_d_shl = 0.31 # (nm) Perkins 2001 (Hydration shell in proteins)
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# Composition of the Reconstitution buffer (M)
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ctris = 0.02
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cEDTA = 0.002
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CONST_ctris = 0.02
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CONST_cEDTA = 0.002
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### Extra molecules
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# TRIS buffer
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b_tris = 1.860E-04
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V_tris = 0.15147 # (nm^3)
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CONST_b_tris = 1.860E-04
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CONST_V_tris = 0.15147 # (nm^3)
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# EDTA
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b_EDTA = 4.340E-04 ;
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V_EDTA = 0.56430 # (nm^3)
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CONST_b_EDTA = 4.340E-04 ;
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CONST_V_EDTA = 0.56430 # (nm^3)
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##################################################################################################################
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@ -110,11 +110,11 @@ def PDF_normal(x, mu, sig) :
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#########################################################
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def lipid_volume(T) :
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return (1-x_PG) * (a0_V_POPC +T * a1_V_POPC) + x_PG * (a0_V_POPG + T * a1_V_POPG)
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return (1-CONST_x_PG) * (CONST_a0_V_POPC +T * CONST_a1_V_POPC) + CONST_x_PG * (CONST_a0_V_POPG + T * CONST_a1_V_POPG)
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#########################################################
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def water_volume(T) :
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return p0_VW + p1_VW*T + p2_VW*T**2 + p3_VW*T**3 + p4_VW*T**4
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return CONST_p0_VW + CONST_p1_VW*T + CONST_p2_VW*T**2 + CONST_p3_VW*T**3 + CONST_p4_VW*T**4
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#########################################################
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#@njit(parallel=True)
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@ -146,7 +146,7 @@ def mu4(q, Z, a) :
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################################ SYMMETRIC VESICLE FOR X-RAY SLDs #########################################
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######################################### SDP MODELLING #########################################
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######################################## SDP MODELLING #########################################
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#################################### SEPARATED FORM FACTOR #########################################
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##################################################################################################################
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@ -172,48 +172,48 @@ class SDP_base_POPC_RecBuf:
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self.T, self.V_BW,
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self.Con] = PAR
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Cw = p0_Cw + p1_Cw*self.T + p2_Cw*self.T**2 + p3_Cw*self.T**3
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xtris = ctris / Cw # mole fraction of free TRIS in bulk
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xEDTA = cEDTA / Cw # mole fraction of free EDTA in bulk
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Cw = CONST_p0_Cw + CONST_p1_Cw*self.T + CONST_p2_Cw*self.T**2 + CONST_p3_Cw*self.T**3
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xtris = CONST_ctris / Cw # mole fraction of free TRIS in bulk
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xEDTA = CONST_cEDTA / Cw # mole fraction of free EDTA in bulk
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# Volumes
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self.V_L = lipid_volume(self.T)
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V_HW = water_volume(self.T)
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V_HC = self.V_L - ( (1-x_PG) * V_HL_PC + x_PG * V_HL_PG )
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V_HC = self.V_L - ( (1-CONST_x_PG) * CONST_V_HL_PC + CONST_x_PG * CONST_V_HL_PG )
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# Quasi-molecular volumes
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V_CH2 = V_HC / ( n_CH2 + n_CH*self.r12 + n_CH3*self.r32 ) # Volume of CH2 groups
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V_CH2 = V_HC / ( CONST_n_CH2 + CONST_n_CH*self.r12 + CONST_n_CH3*self.r32 ) # Volume of CH2 groups
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V_CH = V_CH2 * self.r12 # Volume of CH groups
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V_CH3 = V_CH2 * self.r32 # Volume of CH3 groups
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self.V_CG = V_HL_PC * self.r_CG # Volume of CG group
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self.V_PCN = V_HL_PC * self.r_PCN # Volume of PCN group
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self.V_Chol = V_HL_PC * (1-self.r_PCN-self.r_CG) # Volume of CholCH3 group
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self.V_CG = CONST_V_HL_PC * self.r_CG # Volume of CG group
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self.V_PCN = CONST_V_HL_PC * self.r_PCN # Volume of PCN group
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self.V_Chol = CONST_V_HL_PC * (1-self.r_PCN-self.r_CG) # Volume of CholCH3 group
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V_PG1 = V_HL_PG * 0.16 # Kucerka 2012
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V_PG2 = V_HL_PG * ( 1 - 0.51 - 0.16) # Kucerka 2012
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V_PG1 = CONST_V_HL_PG * 0.16 # Kucerka 2012
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V_PG2 = CONST_V_HL_PG * ( 1 - 0.51 - 0.16) # Kucerka 2012
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# Calculation of mean D_C
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self.D_C = V_HC / self.A_L
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# X-ray scattering lengths (nm)
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rho_sol = ( b_HW + xtris*b_tris + xEDTA*b_EDTA ) / V_HW
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drho_Chol = ( (1-x_PG)*b_Chol/self.V_Chol + x_PG*b_PG2/V_PG2 ) - rho_sol
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drho_PCN = ( (1-x_PG)*b_PCN/self.V_PCN + x_PG*b_PG1/V_PG1 ) - rho_sol
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drho_CG = b_CG / self.V_CG - rho_sol
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drho_TR = b_tris/ V_tris - rho_sol
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drho_CH = b_CH / V_CH - rho_sol
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drho_CH2 = b_CH2 / V_CH2 - rho_sol
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drho_CH3 = b_CH3 / V_CH3 - rho_sol
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drho_HW = b_HW / self.V_BW - rho_sol
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rho_sol = ( CONST_b_HW + xtris*CONST_b_tris + xEDTA*CONST_b_EDTA ) / V_HW
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drho_Chol = ( (1-CONST_x_PG)*CONST_b_Chol/self.V_Chol + CONST_x_PG*CONST_b_PG2/V_PG2 ) - rho_sol
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drho_PCN = ( (1-CONST_x_PG)*CONST_b_PCN/self.V_PCN + CONST_x_PG*CONST_b_PG1/V_PG1 ) - rho_sol
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drho_CG = CONST_b_CG / self.V_CG - rho_sol
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drho_TR = CONST_b_tris/ CONST_V_tris - rho_sol
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drho_CH = CONST_b_CH / V_CH - rho_sol
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drho_CH2 = CONST_b_CH2 / V_CH2 - rho_sol
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drho_CH3 = CONST_b_CH3 / V_CH3 - rho_sol
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drho_HW = CONST_b_HW / self.V_BW - rho_sol
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# c-prefactors
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c_Chol = ( (1-x_PG)*self.V_Chol + x_PG*V_PG2 ) / self.A_L
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c_PCN = ( (1-x_PG)*self.V_PCN + x_PG*V_PG1 ) / self.A_L
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c_Chol = ( (1-CONST_x_PG)*self.V_Chol + CONST_x_PG*V_PG2 ) / self.A_L
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c_PCN = ( (1-CONST_x_PG)*self.V_PCN + CONST_x_PG*V_PG1 ) / self.A_L
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c_CG = self.V_CG / self.A_L
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c_TR = V_tris*self.n_TR / self.A_L
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c_CH = V_CH * n_CH / self.A_L
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c_CH3 = V_CH3 * n_CH3 / self.A_L
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c_TR = CONST_V_tris*self.n_TR / self.A_L
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c_CH = V_CH * CONST_n_CH / self.A_L
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c_CH3 = V_CH3 * CONST_n_CH3 / self.A_L
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# calculating scattering amplitude
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self.Am=np.zeros(q.shape[0],dtype=float)
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@ -225,7 +225,7 @@ class SDP_base_POPC_RecBuf:
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self.Am += 2 * (drho_CH3 - drho_CH2) * c_CH3 * FTreal_gauss(self.q, 0, self.s_CH3)
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# Adding hydration-water envelope
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self.Am += 4 * drho_HW * ( self.d_CG + self.d_PCN + self.d_Chol + d_shl) * FTreal_erf(self.q, (self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+d_shl)/2.), (self.d_CG+self.d_PCN+self.d_Chol+d_shl), self.s_CH2)
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self.Am += 4 * drho_HW * ( self.d_CG + self.d_PCN + self.d_Chol + CONST_d_shl) * FTreal_erf(self.q, (self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl)/2.), (self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl), self.s_CH2)
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# Adding CG, PCN and CholCH3 groups
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self.Am += 2 * (drho_TR - drho_HW) * c_TR * FTreal_gauss(self.q, (self.D_C+self.d_TR/2.), self.s_TR)
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self.Am += 2 * (drho_CG - drho_HW) * c_CG * FTreal_gauss(self.q, (self.D_C+self.d_CG/2.), self.s_CG)
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@ -250,8 +250,8 @@ class SDP_base_POPC_RecBuf:
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CG = Gauss(z_array, self.V_CG, self.D_C+self.d_CG/2., self.s_CG, self.A_L)
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PCN = Gauss(z_array, self.V_PCN, self.D_C+self.d_CG+self.d_PCN/2., self.s_PCN, self.A_L)
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Chol = Gauss(z_array, self.V_Chol, self.D_C+self.d_CG+self.d_PCN+self.d_Chol/2., self.s_Chol, self.A_L)
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TRIS = Gauss(z_array, self.n_TR*V_tris, self.D_C+self.d_TR/2., self.s_TR, self.A_L)
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BW = Slab(z_array, self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+d_shl)/2., self.d_CG+self.d_PCN+self.d_Chol+d_shl, self.s_CH2) - CG - PCN - Chol - TRIS
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TRIS = Gauss(z_array, self.n_TR*CONST_V_tris, self.D_C+self.d_TR/2., self.s_TR, self.A_L)
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BW = Slab(z_array, self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl)/2., self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl, self.s_CH2) - CG - PCN - Chol - TRIS
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for i in(BW) :
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if i <-0.001 : self.check+= 1
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@ -275,40 +275,40 @@ class SDP_POPC_RecBuf:
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self.T, self.V_BW,
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self.Con] = PAR
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Cw = p0_Cw + p1_Cw*self.T + p2_Cw*self.T**2 + p3_Cw*self.T**3
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xtris = ctris / Cw # mole fraction of free TRIS in bulk
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xEDTA = cEDTA / Cw # mole fraction of free EDTA in bulk
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Cw = CONST_p0_Cw + CONST_p1_Cw*self.T + CONST_p2_Cw*self.T**2 + CONST_p3_Cw*self.T**3
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xtris = CONST_ctris / Cw # mole fraction of free TRIS in bulk
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xEDTA = CONST_cEDTA / Cw # mole fraction of free EDTA in bulk
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# Volumes
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self.V_L = lipid_volume(self.T)
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V_HW = water_volume(self.T)
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V_HC = self.V_L - ( (1-x_PG) * V_HL_PC + x_PG * V_HL_PG )
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V_HC = self.V_L - ( (1-CONST_x_PG) * CONST_V_HL_PC + CONST_x_PG * CONST_V_HL_PG )
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# Calculation of mean D_C
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self.D_C = V_HC / self.A_L
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# Quasi-molecular volumes
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V_CH2 = V_HC / ( n_CH2 + n_CH*self.r12 + n_CH3*self.r32 ) # Volume of CH2 groups
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V_CH2 = V_HC / ( CONST_n_CH2 + CONST_n_CH*self.r12 + CONST_n_CH3*self.r32 ) # Volume of CH2 groups
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V_CH = V_CH2 * self.r12 # Volume of CH groups
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V_CH3 = V_CH2 * self.r32 # Volume of CH3 groups
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self.V_CG = V_HL_PC * self.r_CG # Volume of CG group
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self.V_PCN = V_HL_PC * self.r_PCN # Volume of PCN group
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self.V_Chol = V_HL_PC * (1-self.r_PCN-self.r_CG) # Volume of CholCH3 group
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self.V_CG = CONST_V_HL_PC * self.r_CG # Volume of CG group
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self.V_PCN = CONST_V_HL_PC * self.r_PCN # Volume of PCN group
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self.V_Chol = CONST_V_HL_PC * (1-self.r_PCN-self.r_CG) # Volume of CholCH3 group
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V_PG1 = V_HL_PG * 0.16 # Kucerka 2012
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V_PG2 = V_HL_PG * ( 1 - 0.51 - 0.16) # Kucerka 2012
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V_PG1 = CONST_V_HL_PG * 0.16 # Kucerka 2012
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V_PG2 = CONST_V_HL_PG * ( 1 - 0.51 - 0.16) # Kucerka 2012
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############### X-ray scattering lengths (nm)
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rho_sol = ( b_HW + xtris*b_tris + xEDTA*b_EDTA ) / V_HW
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drho_Chol = ( (1-x_PG)*b_Chol/self.V_Chol + x_PG*b_PG2/V_PG2 ) - rho_sol
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drho_PCN = ( (1-x_PG)*b_PCN/self.V_PCN + x_PG*b_PG1/V_PG1 ) - rho_sol
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drho_CG = b_CG / self.V_CG - rho_sol
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drho_TR = b_tris/ V_tris - rho_sol
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drho_CH = b_CH / V_CH - rho_sol
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drho_CH2 = b_CH2 / V_CH2 - rho_sol
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drho_CH3 = b_CH3 / V_CH3 - rho_sol
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drho_HW = b_HW / self.V_BW - rho_sol
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rho_sol = ( CONST_b_HW + xtris*CONST_b_tris + xEDTA*CONST_b_EDTA ) / V_HW
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drho_Chol = ( (1-CONST_x_PG)*CONST_b_Chol/self.V_Chol + CONST_x_PG*CONST_b_PG2/V_PG2 ) - rho_sol
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drho_PCN = ( (1-CONST_x_PG)*CONST_b_PCN/self.V_PCN + CONST_x_PG*CONST_b_PG1/V_PG1 ) - rho_sol
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drho_CG = CONST_b_CG / self.V_CG - rho_sol
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drho_TR = CONST_b_tris/ CONST_V_tris - rho_sol
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drho_CH = CONST_b_CH / V_CH - rho_sol
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drho_CH2 = CONST_b_CH2 / V_CH2 - rho_sol
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drho_CH3 = CONST_b_CH3 / V_CH3 - rho_sol
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drho_HW = CONST_b_HW / self.V_BW - rho_sol
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############### D_C polydispersity
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N = 21
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@ -321,14 +321,14 @@ class SDP_POPC_RecBuf:
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c_CH3 = np.zeros(HC_array.shape[0],dtype=float)
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############### c-prefactors
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||||
c_Chol = ( (1-x_PG)*self.V_Chol + x_PG*V_PG2 ) / self.A_L
|
||||
c_PCN = ( (1-x_PG)*self.V_PCN + x_PG*V_PG1 ) / self.A_L
|
||||
c_Chol = ( (1-CONST_x_PG)*self.V_Chol + CONST_x_PG*V_PG2 ) / self.A_L
|
||||
c_PCN = ( (1-CONST_x_PG)*self.V_PCN + CONST_x_PG*V_PG1 ) / self.A_L
|
||||
c_CG = self.V_CG / self.A_L
|
||||
c_TR = V_tris*self.n_TR / self.A_L
|
||||
c_TR = CONST_V_tris*self.n_TR / self.A_L
|
||||
|
||||
for hc in range(HC_array.shape[0]):
|
||||
c_CH[hc] = V_CH * n_CH / (V_HC / HC_array[hc] )
|
||||
c_CH3[hc] = V_CH3 * n_CH3 / (V_HC / HC_array[hc] )
|
||||
c_CH[hc] = V_CH * CONST_n_CH / (V_HC / HC_array[hc] )
|
||||
c_CH3[hc] = V_CH3 * CONST_n_CH3 / (V_HC / HC_array[hc] )
|
||||
|
||||
for hc in range(HC_array.shape[0]):
|
||||
|
||||
|
|
@ -339,7 +339,7 @@ class SDP_POPC_RecBuf:
|
|||
self.Am[hc] += 2 * (drho_CH3 - drho_CH2) * c_CH3[hc] * FTreal_gauss(self.q, 0, self.s_CH3)
|
||||
|
||||
# Adding hydration-water envelope
|
||||
self.Am[hc] += 4 * drho_HW * ( self.d_CG + self.d_PCN + self.d_Chol + d_shl) * FTreal_erf(self.q, (HC_array[hc]+(self.d_CG+self.d_PCN+self.d_Chol+d_shl)/2.), (self.d_CG+self.d_PCN+self.d_Chol+d_shl), self.s_CH2)
|
||||
self.Am[hc] += 4 * drho_HW * ( self.d_CG + self.d_PCN + self.d_Chol + CONST_d_shl) * FTreal_erf(self.q, (HC_array[hc]+(self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl)/2.), (self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl), self.s_CH2)
|
||||
# Adding CG, PCN and CholCH3 groups
|
||||
self.Am[hc] += 2 * (drho_TR - drho_HW) * c_TR * FTreal_gauss(self.q, (HC_array[hc]+self.d_TR/2.), self.s_TR)
|
||||
self.Am[hc] += 2 * (drho_CG - drho_HW) * c_CG * FTreal_gauss(self.q, (HC_array[hc]+self.d_CG/2.), self.s_CG)
|
||||
|
|
@ -369,8 +369,8 @@ class SDP_POPC_RecBuf:
|
|||
CG = Gauss(z_array, self.V_CG, self.D_C+self.d_CG/2., self.s_CG, self.A_L)
|
||||
PCN = Gauss(z_array, self.V_PCN, self.D_C+self.d_CG+self.d_PCN/2., self.s_PCN, self.A_L)
|
||||
Chol = Gauss(z_array, self.V_Chol, self.D_C+self.d_CG+self.d_PCN+self.d_Chol/2., self.s_Chol, self.A_L)
|
||||
TRIS = Gauss(z_array, self.n_TR*V_tris, self.D_C+self.d_TR/2., self.s_TR, self.A_L)
|
||||
BW = Slab(z_array, self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+d_shl)/2., self.d_CG+self.d_PCN+self.d_Chol+d_shl, self.s_CH2) - CG - PCN - Chol - TRIS
|
||||
TRIS = Gauss(z_array, self.n_TR*CONST_V_tris, self.D_C+self.d_TR/2., self.s_TR, self.A_L)
|
||||
BW = Slab(z_array, self.D_C+(self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl)/2., self.d_CG+self.d_PCN+self.d_Chol+CONST_d_shl, self.s_CH2) - CG - PCN - Chol - TRIS
|
||||
|
||||
for i in(BW) :
|
||||
if i <-0.001 : self.check+= 1
|
||||
|
|
@ -380,9 +380,4 @@ class SDP_POPC_RecBuf:
|
|||
##################################################################################################################
|
||||
##################################################################################################################
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
# vim ts=4,sts=4,sw=4
|
||||
|
|
|
|||
Loading…
Reference in a new issue