Table 2 Parameters for the within-host model Eq. (7) are listed together with their lower and upper bounds for the priors. Prior distributions are normally distributed with mean equal to the fitted value and variance, \(\sigma ^2\).
From: Identifiability of parameters in mathematical models of SARS-CoV-2 infections in humans
Parameter | Description | Prior \(\pi (p)\) | Patient A | Population |
|---|---|---|---|---|
Min–Max | \(\pi (p) \sim {\mathcal {N}} (\mu , \sigma )\) | \(\pi (p) \sim {\mathcal {N}} (\mu , \sigma )\) | ||
\(\beta _u\) | Viral infectivity in URT | \((10^{-12}, 10^{-7})\) | \({\mathcal {N}} (1.1 \times 10^{-8},10^{-8})\) | \({\mathcal {N}} (8.9 \times 10^{-9},10^{-8})\) |
\(\beta _l\) | Viral infectivity in LRT | \((10^{-12}, 10^{-7})\) | \({\mathcal {N}} (3.9 \times 10^{-8},10^{-10})\) | \({\mathcal {N}} (9.3 \times 10^{-11},10^{-10})\) |
\(\delta _u\) | Infected cell decay rate in URT | (0, 50) | \({\mathcal {N}} (4.88,0.5)\) | \({\mathcal {N}} (4.64,0.5)\) |
\(\delta _l\) | Infected cell decay rate in LRT | (0, 50) | \({\mathcal {N}} (5.59,0.5)\) | \({\mathcal {N}} (2.99,0.5)\) |
\(c_u\) | Viral decay rate in URT | (0, 30) | \({\mathcal {N}} (2.88,0.5)\) | \({\mathcal {N}} (4.27,0.5)\) |
\(c_l\) | Viral decay rate in LRT | (0, 30) | \({\mathcal {N}} (11.43,0.5)\) | \({\mathcal {N}} (9.21,0.5)\) |
K | \(V_l\) where loss is half-maximal | (0, 3000) | \({\mathcal {N}} (910,100)\) | \({\mathcal {N}} (1840,100)\) |
\(k_u\) | Shedding into LRT | \((10^{-6}, 1)\) | \({\mathcal {N}} (0.24,0.1)\) | \({\mathcal {N}} (0.62,0.1)\) |
\(k_l\) | Shedding into URT | \((10^{-6}, 1)\) | \({\mathcal {N}} (0.0008,0.0001)\) | \({\mathcal {N}} (0.036,0.01)\) |
