Homogenisation for the monodomain model in the presence of microscopic fibrotic structures

Lawson, Brodie; Santos, Rodrigo Weber dos; Turner, Ian; Bueno‐Orovio, Alfonso; Burrage, Pamela; Burrage, Kevin

doi:10.1016/j.cnsns.2022.106794

Cited by 6 publications

(2 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To serve as a comparison for the graph-based methods demonstrated here, we also apply a more standard homogenisation approach recently brought to cardiac fibrosis [52] to our test problems. This approach uses the method of volume averaging [53] to derive effective conductivities for mesh elements on the larger scale, and results in a homogenised monodomain model slightly different to equation (9) ,

0

The difference is the presence of the ratio

of the volume of the conductive portion of a macro-scale element

to the volume of the whole element,

.…”

Section: Methodsmentioning

confidence: 99%

“…Denoting the extended domain

and its conductive portion

, the closure problems take the form

where

are the standard basis vectors and

denotes the normal vector for boundaries with non-conductive material (

). This choice of boundary condition on the edges of the averaging volume is known as a “linear” boundary condition [55] , the choice that proved most suitable in a series of cardiac electrophysiology test cases (results in a work under submission [52] ).…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Graph-based homogenisation for modelling cardiac fibrosis

Farquhar

Burrage

Santos

et al. 2022

Journal of Computational Physics

Self Cite

View full text Add to dashboard Cite

0

The difference is the presence of the ratio

of the volume of the conductive portion of a macro-scale element

to the volume of the whole element,

.…”

Section: Methodsmentioning

confidence: 99%

“…Denoting the extended domain

and its conductive portion

, the closure problems take the form

where

are the standard basis vectors and

denotes the normal vector for boundaries with non-conductive material (

Section: Methodsmentioning

confidence: 99%

Graph-based homogenisation for modelling cardiac fibrosis

Farquhar

Burrage

Santos

et al. 2022

Journal of Computational Physics

Self Cite

View full text Add to dashboard Cite

Perlin noise generation of physiologically realistic cardiac fibrosis

Lawson,

Drovandi,

Burrage

et al. 2024

Medical Image Analysis

View full text Add to dashboard Cite

Fibroblast mediated dynamics in diffusively uncoupled myocytes: a simulation study using 2-cell motifs

Sridhar,

Clayton

2024

Sci Rep

View full text Add to dashboard Cite

In healthy hearts myocytes are typically coupled to nearest neighbours through gap junctions. Under pathological conditions such as fibrosis, or in scar tissue, or across ablation lines myocytes can uncouple from their neighbours. Electrical conduction may still occur via fibroblasts that not only couple proximal myocytes but can also couple otherwise unconnected regions. We hypothesise that such coupling can alter conduction between myocytes via introduction of delays or by initiation of premature stimuli that can potentially result in reentry or conduction blocks. To test this hypothesis we have developed several 2-cell motifs and investigated the effect of fibroblast mediated electrical coupling between uncoupled myocytes. We have identified various regimes of myocyte behaviour that depend on the strength of gap-junctional conductance, connection topology, and parameters of the myocyte and fibroblast models. These motifs are useful in developing a mechanistic understanding of long-distance coupling on myocyte dynamics and enable the characterisation of interaction between different features such as myocyte and fibroblast properties, coupling strengths and pacing period. They are computationally inexpensive and allow for incorporation of spatial effects such as conduction velocity. They provide a framework for constructing scar tissue boundaries and enable linking of cellular level interactions with scar induced arrhythmia.

show abstract

Homogenisation for the monodomain model in the presence of microscopic fibrotic structures

Cited by 6 publications

References 52 publications

Graph-based homogenisation for modelling cardiac fibrosis

Graph-based homogenisation for modelling cardiac fibrosis

Perlin noise generation of physiologically realistic cardiac fibrosis

Fibroblast mediated dynamics in diffusively uncoupled myocytes: a simulation study using 2-cell motifs

Contact Info

Product

Resources

About