4 papers
Conservative deterministic Markov models in mathematical biology: uniqueness of steady states, reversibility and computational methods
Joseph G. Shuttleworth, Simon P. Preston Chon Lok Lei, Etienne Farcot +1
Ordinary differential equations are commonly used throughout the sciences to build mechanistic models of time-dependent processes. Often, such models are Markov models describing t…
Think before you fit: parameter identifiability, sensitivity and uncertainty in systems biology models
Simon P. Preston, Richard D. Wilkinson, Richard H. Clayton +2
Reliable predictions from systems biology models require knowing whether parameters can be estimated from available data, and with what certainty. Identifiability analysis reveals…
Using mathematical models of heart cells to assess the safety of new pharmaceutical drugs
Gary R. Mirams
Many drugs have been withdrawn from the market worldwide, at a cost of billions of dollars, because of patient fatalities due to them unexpectedly disturbing heart rhythm. Even dru…
Continuation methods as a tool for parameter inference in electrophysiology modeling
Matt J Owen, Gary R Mirams
Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable…