Random walk models in the life sciences: including births, deaths and local interactions

MJ Plank, MJ Simpson… - Journal of the Royal …, 2025 - royalsocietypublishing.org
Random walks and related spatial stochastic models have been used in a range of
application areas, including animal and plant ecology, infectious disease epidemiology …

Designing policies to promote the adoption of digital phytosanitation towards sustainability: The case of the olive sector in Andalusia

C Parra-López, L Reina-Usuga, G Garcia-Garcia… - Agricultural …, 2024 - Elsevier
CONTEXT Digital phytosanitation is at the forefront of the Agriculture 4.0 revolution, using
digital technologies and data-driven approaches for effective pest and disease …

[HTML][HTML] Model-driven optimal experimental design for calibrating cardiac electrophysiology models

CL Lei, M Clerx, DJ Gavaghan, GR Mirams - Computer Methods and …, 2023 - Elsevier
Abstract Background and Objective: Models of the cardiomyocyte action potential have
contributed immensely to the understanding of heart function, pathophysiology, and the …

Structured methods for parameter inference and uncertainty quantification for mechanistic models in the life sciences

MJ Plank, MJ Simpson - Royal Society Open Science, 2024 - royalsocietypublishing.org
Parameter inference and uncertainty quantification are important steps when relating
mathematical models to real-world observations and when estimating uncertainty in model …

Optimal experimental designs for characterising ion channel gating by filling the phase-voltage space of model dynamics

GR Mirams, M Clerx, DG Whittaker… - Mathematics in Medical …, 2024 - Taylor & Francis
Voltage-clamp waveforms are imposed in the patch-clamp electrophysiology technique to
provoke ion currents, the particular waveform that is used is known as the “voltage-clamp …

Continuation methods as a tool for parameter inference in electrophysiology modeling

MJ Owen, GR Mirams - arxiv preprint arxiv:2501.08355, 2025 - arxiv.org
Parameterizing mathematical models of biological systems often requires fitting to stable
periodic data. In cardiac electrophysiology this typically requires converging to a stable …

Reconstructing ventricular cardiomyocyte dynamics and parameter estimation using data assimilation

MJ Mendez, EM Cherry, GS Hoeker, S Poelzing… - Biophysical …, 2024 - cell.com
Cardiac ventricular myocyte action potential dynamics are regulated by intricate and
nonlinear interactions between the cell transmembrane potential and ionic currents and …

Evaluating the predictive accuracy of ion channel models using data from multiple experimental designs

JG Shuttleworth, CL Lei, MJ Windley, AP Hill… - bioRxiv, 2024 - biorxiv.org
Mathematical models are increasingly being relied upon to provide quantitatively accurate
predictions of cardiac electrophysiology. Many such models concern the behaviour of …

A range of voltage-clamp protocol designs for rapid capture of hERG kinetics

CL Lei, DG Whittaker, MJ Windley, MD Perry, AP Hill… - bioRxiv, 2024 - biorxiv.org
We provide details of a series of short voltage-clamp protocols designed for gathering a
large amount of information on hERG (Kv11. 1) ion channel gating. The protocols have a …

[PDF][PDF] Empirical Approach on Uncertainty Analysis of Differential Equations in Mathematical Modeling

P Kaur - Sch J Phys Math Stat, 2023 - saspublishers.com
Uncertainty theory, introduced by Professor Baoding Liu of Tsinghua University in China in
2007, has lately made significant progress. It serves as an advanced and adaptable …