f_dep in function of diameter graph
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2 changed files with 74 additions and 4 deletions
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@ -4,7 +4,7 @@ Date: <date>
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Code version: <code version>
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Availability: <where it's located> """
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from cara.models import InfectedPopulation
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from cara.models import ExposureModel, InfectedPopulation
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from cara import model_scenarios_paper
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from cara.results_paper import *
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from cara.test_plots import *
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@ -30,12 +30,16 @@ print('\n<<<<<<<<<<< Vlout for Breathing, seated with chosen Cn,B >>>>>>>>>>>')
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print('\n')
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############ Plots with viral loads and emission rates + statistical data ############
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present_vl_er_histograms(activity='Seated', mask='No mask')
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present_vl_er_histograms(activity='Light activity', mask='No mask')
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present_vl_er_histograms(activity='Heavy exercise', mask='No mask')
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#present_vl_er_histograms(activity='Seated', mask='No mask')
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#present_vl_er_histograms(activity='Light activity', mask='No mask')
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#present_vl_er_histograms(activity='Heavy exercise', mask='No mask')
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############ CDFs for comparing the QR-Values in different scenarios ############
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#generate_cdf_curves()
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############ Deposition Fraction Graph ############
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print('\n<<<<<<<<<<< Deposition Fraction for Breathing, seated >>>>>>>>>>>')
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calculate_deposition_factor()
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############ Used for testing ############
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#exposure_model_from_vl_talking_new_points()
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@ -11,6 +11,7 @@ import matplotlib.pyplot as plt
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import pandas as pd
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import matplotlib.lines as mlines
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import matplotlib as mpl
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import math
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######### Plot material #########
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@ -415,6 +416,71 @@ def generate_cdf_curves():
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fig.set_figwidth(5)
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plt.show()
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############ Deposition Fraction Graph ############
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# :D particle diameter - varies between 0.3*10**(-6) and 30*10**(-6)
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# :Pp mass density - 1000 kg/m-3
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# :Uair dynamic viscosity of air - 1.8*10**(-5)
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# :FRC functional residual capacity of lungs - 0.003m3
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# :Vt tidal volume - 0.0004m3
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# :g gravity of earth - 9.8m/s**(-2)
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# :BRk mask - inhalation rate
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# Cs(D) Cunningham slip factor
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# lambda = 0.065
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# A1 = 1.246
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# A2 = 0.42
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# A3 = 0.87
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def calculate_cunningham_slip_factor(d:int):
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_lambda=0.065
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A1 = 1.246
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A2 = 0.42
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A3 = 0.87
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return 1 + (((2*_lambda)/d) * (A1+(A2*(math.e**((-A3*d)/_lambda)))))
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# Deposition factor for a breathing model
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def calculate_deposition_factor():
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exposure_mc = breathing_exposure(activity='Seated', mask='No mask')
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exposure_model = exposure_mc.build_model(size=SAMPLE_SIZE)
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Pp = 1000
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Uair = 1.8*10**-5
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FRC = 0.003
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Vt = 0.0004
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g = 9.8
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BRk = exposure_model.exposed.activity.inhalation_rate
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diameters = np.linspace(0.3, 30, 200) #particle diameter (multiply later by 10**(-6))
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fractions = []
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for d in diameters:
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d = d*10**(-6)
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cunningham_slip_factor = calculate_cunningham_slip_factor(d)
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f_dep = 0.08 + 0.92 / (
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1 + (4.09*10**-6 * (
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(((cunningham_slip_factor*Pp*d**2*(BRk/3600))/Uair*FRC)**0.8) + (
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0.01*(
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((cunningham_slip_factor*g*Pp*d**2*FRC**(2/3))/(Uair*(BRk/3600))**0.4) * (
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(Vt/FRC)**0.8
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)
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)
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)
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)**(-2.06)
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))
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fractions.append(f_dep)
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fig = plt.figure()
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ax = fig.add_subplot(1, 1, 1)
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ax.plot(diameters, fractions)
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print(diameters)
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plt.ylabel(
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'Deposition fraction (f$_{dep}$)', fontsize=14)
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plt.xlabel('Particle diameter (μm)', fontsize=14)
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plt.show()
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######### Auxiliar functions #########
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