From 9f1df77591e920a31ee7afb058dfd9db5d1c58dc Mon Sep 17 00:00:00 2001 From: Robert DeJaco Date: Thu, 30 Mar 2023 10:05:56 -0400 Subject: [PATCH] Update LOD and version --- .gitignore | 2 +- README.md | 2 +- doc/manual.pdf | Bin 264047 -> 278394 bytes doc/source/conf.py | 2 +- doc/source/index.rst | 1 + doc/source/lod.rst | 10 +- src/lod.py | 240 +++++++++++++++++++++++++++---------------- 7 files changed, 159 insertions(+), 98 deletions(-) diff --git a/.gitignore b/.gitignore index b268233..5c4c694 100644 --- a/.gitignore +++ b/.gitignore @@ -10,4 +10,4 @@ test/.pytest_cache/ doc/build # pycharm -.idea/workspace \ No newline at end of file +.idea/workspace.xml \ No newline at end of file diff --git a/README.md b/README.md index 23a479b..5532a29 100644 --- a/README.md +++ b/README.md @@ -16,7 +16,7 @@ pip install -r requirements.txt To test the installation, navigate to the parent directory and invoke ```bash -python3 -m pytest test/* +python3 -m pytest --doctest-modules ``` For 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DeJaco' author = 'Robert F. DeJaco' version = "0.9" # the short version -release = 'v0.9.0' # full version number +release = 'v0.9.1' # full version number # -- General configuration --------------------------------------------------- # https://www.sphinx-doc.org/en/master/usage/configuration.html#general-configuration diff --git a/doc/source/index.rst b/doc/source/index.rst index 3ff3f43..8aac247 100644 --- a/doc/source/index.rst +++ b/doc/source/index.rst @@ -16,6 +16,7 @@ Welcome to Bias-UQ-PCR's documentation! molar_fluorescence.rst kinetic_PCR.rst plot_figures.rst + lod.rst Indices and tables diff --git a/doc/source/lod.rst b/doc/source/lod.rst index ac3bce4..305011a 100644 --- a/doc/source/lod.rst +++ b/doc/source/lod.rst @@ -1,5 +1,5 @@ -Plotting Figures -================ - -.. automodule:: plot_figures - :members: +Limit of Detection +================== + +.. automodule:: src.lod + :members: diff --git a/src/lod.py b/src/lod.py index 668386e..9b7af73 100644 --- a/src/lod.py +++ b/src/lod.py @@ -4,115 +4,175 @@ def my_int(x): """ + Parameters + ---------- + x : float + + Returns + ------- + int + :math:`\\min\\left\{y \\in \\mathbb{N} \\mid y \\ge x\\right\}` + + Notes + ----- + The set :math:`\\mathbb{N} := \{1, 2, \\ldots\}`. + + + >>> my_int(0.9) + 1 >>> my_int(1.1) 2 >>> my_int(1.) 1 >>> my_int(2.) 2 + >>> my_int(2.01) + 3 >>> my_int(1.999) 2 + """ return np.max( (1, int(np.ceil(x))) ) -class Base: - def beta(self, kappa, R, pbar, r): - raise NotImplemented - - def alpha(self, kappa, R): - raise NotImplemented +class LOD: + """ + Parameters + ---------- + input_type : str + Type of nucleic acids input. Either :code:`"ds-DNA"` (see (4)), + :code:`"fs-RNA"` (see (5)), or :code:`"rs-RNA"` (see (6)). - def get_L(self, chi, kappa, R, pbar, r): + """ + def __init__(self, input_type: str): + self.input_type = input_type + assert self.input_type in ("fs-RNA", "rs-RNA", "ds-DNA"), "Input type not found" + + def alpha(self, R): + """ + + Parameters + ---------- + R : float + square-root of amplification efficiency ratio + + Returns + ------- + float + :math:`\\alpha` as in (35a) + + """ + if self.input_type == "ds-DNA": + return (R*R + 1)/(R + 1)/(R + 1) + + return 1. + + def beta(self, R, pbar, r): + """ + + Parameters + ---------- + R : float + square-root of amplification efficiency ratio (see (3)) + pbar : float + geometric mean of amplification efficiencies (see (2)) + r : float + probability of reverse-transcription + + Returns + ------- + float + :math:`\\beta` as in (35b) + + """ + l1 = 1. + pbar + l2 = 1. - pbar + if self.input_type == "ds-DNA": + return l2/2/l1 - (pbar*l1)/(l1*l1 - l2)*(R - 1)*(R-1)/(R+1)/(R + 1)/2 + if self.input_type == "fs-RNA": + return (1 - r) / r + l2*(R + 1)/l1/2/R/r - (pbar*l1)/(l1*l1 - l2)*(R - 1)/2/R/r + + return (1 - r) / r + l2*(R + 1)/l1/2/r + pbar*l1/(l1*l1 - l2)*(R - 1)/2/r + + def L(self, chi, kappa, R, pbar, r): + """ + + Parameters + ---------- + chi : float + parameter relating :math:`\\mathbb{E}[I]` to :math:`\\mathsf{Var}[I]` (see (50)) + kappa : float + number of standard deviations allowed to be above background, :math:`\\kappa` see (51) + R : float + square-root of amplification efficiency ratio (see (3)) + pbar : float + geometric mean of amplification efficiencies (see (2)) + r : float + probability of reverse-transcription + + Returns + ------- + int + :math:`L` as in (56) + + """ return my_int( - chi*self.alpha(kappa, R) + self.beta(kappa, R, pbar, r) + kappa*kappa*(chi*self.alpha(R) + self.beta(R, pbar, r)) ) + def M(self, chi, L): + """ -class DNA(Base): - def beta(self, kappa, R, pbar, r): - l1 = 1 + pbar - l2 = 1 - pbar - return kappa*kappa*( - l2/2/l1 + l1/(2*l1 + l2)*(1-R)*(1-R)/(1+R)/(1+R) - ) - - def alpha(self, kappa, R): - return kappa*kappa*(1 + R*R)/(1 + R)/(1 + R) - -class fRNA(Base): - def beta(self, kappa, R, pbar, r): - l1 = 1 + pbar - l2 = 1 - pbar - return kappa*kappa*( - l2/l1*(1 + R)/2/R/r - - l1/(2*l1 + l2)*(1-R)/2/R/r - + (1-r)/r - ) - - def alpha(self, kappa, R): - return kappa*kappa - - -class rRNA(fRNA): - def beta(self, kappa, R, pbar, r): - l1 = 1 + pbar - l2 = 1 - pbar - return kappa*kappa*( - l2/l1*(1 + R)/2/r - + l1/(2*l1 + l2)*(1-R)/2/r - + (1-r)/r - ) + Parameters + ---------- + chi : float + relationship between expected value and variance + L : int + limit of detection from (56) + + Returns + ------- + float + :math:`M` as in (57) + + """ + return np.sqrt(chi / L) + + +def main(chi=1, kappa=3, N=100): + """Estimate range of LOD due to different assays. Prints out results. + + Parameters + ---------- + chi : float, optional + Relationship between expected value an variance, defaults to 1 (Poisson distribution) + kappa : float, optional + Number of standard deviations for statistical significance, defaults to 3 + N : int, optional + number of points in interval, defaults to 100 + + """ + print("Type, Lmin, Lmax, Mmin, Mmax") + for input_type in ["ds-DNA", "fs-RNA", "rs-RNA"]: + kls = LOD(input_type) + L_min = 1e6 + L_max = 0 + for R in np.linspace(0.9, 1.1, N): + for p in np.linspace(0.8, 0.99, N): + for r in np.linspace(0.2, 0.99, N): + L = kls.L(chi, kappa, R, p, r) + if L > L_max: + L_max = L + if L < L_min: + L_min = L + + M_max = kls.M(chi, L_min) + M_min = kls.M(chi, L_max) + # print out results + print("%s, %i, %i, %5.3f, %5.3f" % (kls.input_type, L_min, L_max, M_min, M_max)) if __name__ == '__main__': - import doctest - doctest.testmod() - - - Rs = np.linspace(0.9, 1.1) - ps = np.linspace(0.8, 0.99) - rs = np.linspace(0.2, 0.99) - L_min = 100 - L_max = -100 - kappa = 3; chi = 1 - d = DNA() - for R in Rs: - for p in ps: - L = d.get_L(chi, kappa, R, p, None) - if L < L_min: - L_min = L - if L > L_max: - L_max = L - print('lds', L_min, L_max, np.sqrt(chi/L_min), np.sqrt(chi/L_max)) - - - d = fRNA() - L_min = 100 - L_max = -100 - for r in rs: - for R in Rs: - for p in ps: - L = d.get_L(chi, kappa, R, p, r) - if L < L_min: - L_min = L - if L > L_max: - L_max = L - - print('frna', L_min, L_max, np.sqrt(chi/L_min), np.sqrt(chi/L_max)) - - d = rRNA() - L_min = 100 - L_max = -100 - for r in rs: - for R in Rs: - for p in ps: - L = d.get_L(chi, kappa, R, p, r) - if L < L_min: - L_min = L - if L > L_max: - L_max = L - - print('rrna', L_min, L_max, np.sqrt(chi/L_min), np.sqrt(chi/L_max)) \ No newline at end of file + main() \ No newline at end of file