77 citations · 98 across the 9 of their papers we have counts for
9 papers
Sensitivity analysis methods in the biomedical sciences
George Qian, Adam Mahdi
Sensitivity analysis is an important part of a mathematical modeller's toolbox for model analysis. In this review paper, we describe the most frequently used sensitivity techniques…
Bayesian approach to uncertainty quantification for cerebral autoregulation index
Kevin P. O'Keeffe, Adam Mahdi
Cerebral autoregulation refers to the brain's ability to maintain cerebral blood flow at an approximately constant level, despite changes in arterial blood pressure. The performanc…
Increased blood pressure variability upon standing up improves reproducibility of cerebral autoregulation indices
Adam Mahdi, Dragana Nikolic, Anthony A. Birch +4
Dynamic cerebral autoregulation, that is the transient response of cerebral blood flow to changes in arterial blood pressure, is currently assessed using a variety of different tim…
Effects of non-physiological blood pressure artefacts on measures of cerebral autoregulation
Adam Mahdi, Erica Rutter, Stephen J. Payne
Cerebral autoregulation refers to regulation mechanisms that aim to maintain cerebral blood flow approximately constant. It is often assessed by autoregulation index (ARI), which u…
Bayesian inference in non-Markovian state-space models with applications to fractional order systems
Pierre E. Jacob, S. M. Mahdi Alavi, Adam Mahdi +2
Battery impedance spectroscopy models are given by fractional order (FO) differential equations. In the discrete-time domain, they give rise to state-space models where the latent…
Mathematical model of the interaction between baroreflex and cerebral autoregulation
Adam Mahdi, Mette S. Olufsen, Stephen J. Payne
Baroreflex (BR) and cerebral autoregulation (CA) are two important mechanisms regulating blood pressure and flow. However, the functional relationship between BR and CA in humans i…
Structural Identifiability Analysis of Fractional Order Models with Applications in Battery Systems
S. M. Mahdi Alavi, Adam Mahdi, Pierre E. Jacob +2
This paper presents a method for structural identifiability analysis of fractional order systems by using the coefficient mapping concept to determine whether the model parameters…
Identifiability of generalised Randles circuit models
S. M. M. Alavi, A. Mahdi, S. J. Payne +1
The Randles circuit (including a parallel resistor and capacitor in series with another resistor) and its generalised topology have widely been employed in electrochemical energy s…
Structural identifiability of viscoelastic mechanical systems
Adam Mahdi, Nicolette Meshkat, Seth Sullivant
We solve the local and global structural identifiability problems for viscoelastic mechanical models represented by networks of springs and dashpots. We propose a very simple chara…