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Studying stochastic systems biology of the cell with single-cell genomics data
Recent experimental developments in genome-wide RNA quantification hold considerable
promise for systems biology. However, rigorously probing the biology of living cells requires …
promise for systems biology. However, rigorously probing the biology of living cells requires …
Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments
The question of how cell-to-cell differences in transcription rate affect RNA count
distributions is fundamental for understanding biological processes underlying transcription …
distributions is fundamental for understanding biological processes underlying transcription …
Spectral neural approximations for models of transcriptional dynamics
The advent of high-throughput transcriptomics provides an opportunity to advance
mechanistic understanding of transcriptional processes and their connections to cellular …
mechanistic understanding of transcriptional processes and their connections to cellular …
Efficient inference and identifiability analysis for differential equation models with random parameters
Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite
this, it is common for mathematical and statistical analyses to ignore biological heterogeneity …
this, it is common for mathematical and statistical analyses to ignore biological heterogeneity …
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view
JJ Vastola - Journal of Mathematical Biology, 2021 - Springer
The chemical master equation (CME) is a fundamental description of interacting molecules
commonly used to model chemical kinetics and noisy gene regulatory networks. Exact time …
commonly used to model chemical kinetics and noisy gene regulatory networks. Exact time …
Inferring stochastic rates from heterogeneous snapshots of particle positions
Many imaging techniques for biological systems—like fixation of cells coupled with
fluorescence microscopy—provide sharp spatial resolution in reporting locations of …
fluorescence microscopy—provide sharp spatial resolution in reporting locations of …
Bayesian inference of stochastic reaction networks using multifidelity sequential tempered Markov chain Monte Carlo
Stochastic reaction network models are often used to explain and predict the dynamics of
gene regulation in single cells. These models usually involve several parameters, such as …
gene regulation in single cells. These models usually involve several parameters, such as …
Predictive power of non-identifiable models
Resolving practical non-identifiability of computational models typically requires either
additional data or non-algorithmic model reduction, which frequently results in models …
additional data or non-algorithmic model reduction, which frequently results in models …
Analysis and design of single-cell experiments to harvest fluctuation information while rejecting measurement noise
Introduction: Despite continued technological improvements, measurement errors always
reduce or distort the information that any real experiment can provide to quantify cellular …
reduce or distort the information that any real experiment can provide to quantify cellular …
Bayesian estimation for stochastic gene expression using multifidelity models
The finite state projection (FSP) approach to solving the chemical master equation has
enabled successful inference of discrete stochastic models to predict single-cell gene …
enabled successful inference of discrete stochastic models to predict single-cell gene …