[HTML][HTML] On structural and practical identifiability
We discuss issues of structural and practical identifiability of partially observed differential
equations which are often applied in systems biology. The development of mathematical …
equations which are often applied in systems biology. The development of mathematical …
In-host mathematical modelling of COVID-19 in humans
EA Hernandez-Vargas, JX Velasco-Hernandez - Annual reviews in control, 2020 - Elsevier
COVID-19 pandemic has underlined the impact of emergent pathogens as a major threat to
human health. The development of quantitative approaches to advance comprehension of …
human health. The development of quantitative approaches to advance comprehension of …
[HTML][HTML] Why is it difficult to accurately predict the COVID-19 epidemic?
WC Roda, MB Varughese, D Han, MY Li - Infectious disease modelling, 2020 - Elsevier
Since the COVID-19 outbreak in Wuhan City in December of 2019, numerous model
predictions on the COVID-19 epidemics in Wuhan and other parts of China have been …
predictions on the COVID-19 epidemics in Wuhan and other parts of China have been …
[HTML][HTML] High contagiousness and rapid spread of severe acute respiratory syndrome coronavirus 2
Severe acute respiratory syndrome coronavirus 2 is the causative agent of the ongoing
coronavirus disease pandemic. Initial estimates of the early dynamics of the outbreak in …
coronavirus disease pandemic. Initial estimates of the early dynamics of the outbreak in …
Estimation of breast cancer overdiagnosis in a US breast screening cohort
Background: Mammography screening can lead to overdiagnosis—that is, screen-detected
breast cancer that would not have caused symptoms or signs in the remaining lifetime …
breast cancer that would not have caused symptoms or signs in the remaining lifetime …
Systems biology informed deep learning for inferring parameters and hidden dynamics
A Yazdani, L Lu, M Raissi… - PLoS computational …, 2020 - journals.plos.org
Mathematical models of biological reactions at the system-level lead to a set of ordinary
differential equations with many unknown parameters that need to be inferred using …
differential equations with many unknown parameters that need to be inferred using …
Fitting dynamic models to epidemic outbreaks with quantified uncertainty: A primer for parameter uncertainty, identifiability, and forecasts
G Chowell - Infectious Disease Modelling, 2017 - Elsevier
Mathematical models provide a quantitative framework with which scientists can assess
hypotheses on the potential underlying mechanisms that explain patterns in observed data …
hypotheses on the potential underlying mechanisms that explain patterns in observed data …
[图书][B] Uncertainty quantification: theory, implementation, and applications
RC Smith - 2024 - SIAM
Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …
engineering, and biological applications using mechanistic models. From a broad …
Estimation of tumor cell total mRNA expression in 15 cancer types predicts disease progression
Single-cell RNA sequencing studies have suggested that total mRNA content correlates with
tumor phenotypes. Technical and analytical challenges, however, have so far impeded at …
tumor phenotypes. Technical and analytical challenges, however, have so far impeded at …
Uncovering ecological state dynamics with hidden Markov models
Ecological systems can often be characterised by changes among a finite set of underlying
states pertaining to individuals, populations, communities or entire ecosystems through time …
states pertaining to individuals, populations, communities or entire ecosystems through time …