A multi-scale simulation of retinal physiology
We present a detailed physiological model of the (human) retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system of partial differential equations based on the mathematical framework of the bi-domain equations, which we have generalized to account for multiple cell-types. We discretize in space with non-uniform finite differences and step through time with a custom adaptive time-stepper that employs a backward differentiation formula and an inexact Newton method. A refinement study confirm...
Source: Mathematical Biosciences - July 30, 2023 Category: Statistics Authors: Belal Abuelnasr Adam R Stinchcombe Source Type: research

A multi-scale simulation of retinal physiology
We present a detailed physiological model of the (human) retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system of partial differential equations based on the mathematical framework of the bi-domain equations, which we have generalized to account for multiple cell-types. We discretize in space with non-uniform finite differences and step through time with a custom adaptive time-stepper that employs a backward differentiation formula and an inexact Newton method. A refinement study confirm...
Source: Mathematical Biosciences - July 30, 2023 Category: Statistics Authors: Belal Abuelnasr Adam R Stinchcombe Source Type: research

A multi-scale simulation of retinal physiology
We present a detailed physiological model of the (human) retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system of partial differential equations based on the mathematical framework of the bi-domain equations, which we have generalized to account for multiple cell-types. We discretize in space with non-uniform finite differences and step through time with a custom adaptive time-stepper that employs a backward differentiation formula and an inexact Newton method. A refinement study confirm...
Source: Mathematical Biosciences - July 30, 2023 Category: Statistics Authors: Belal Abuelnasr Adam R Stinchcombe Source Type: research

The role of Type I interferons in the pathogenesis of foot-and-mouth disease virus in cattle: A mathematical modelling analysis
In this study, we explore the interaction between Type I IFN and foot-and-mouth disease virus (FMDV), focusing on the effect of this interaction on epithelial cell death. While several mathematical models have explored the interaction between interferon and viruses at a systemic level, with most of the work undertaken on influenza and hepatitis C, these cannot investigate why a virus such as FMDV causes extensive cell death in some epithelial tissues leading to the development of lesions, while other infected epithelial tissues exhibit negligible cell death. Our study shows how a model that includes epithelial tissue struc...
Source: Mathematical Biosciences - July 26, 2023 Category: Statistics Authors: Kyriaki Giorgakoudi David Schley Nicholas Juleff Simon Gubbins John Ward Source Type: research

The role of Type I interferons in the pathogenesis of foot-and-mouth disease virus in cattle: A mathematical modelling analysis
In this study, we explore the interaction between Type I IFN and foot-and-mouth disease virus (FMDV), focusing on the effect of this interaction on epithelial cell death. While several mathematical models have explored the interaction between interferon and viruses at a systemic level, with most of the work undertaken on influenza and hepatitis C, these cannot investigate why a virus such as FMDV causes extensive cell death in some epithelial tissues leading to the development of lesions, while other infected epithelial tissues exhibit negligible cell death. Our study shows how a model that includes epithelial tissue struc...
Source: Mathematical Biosciences - July 26, 2023 Category: Statistics Authors: Kyriaki Giorgakoudi David Schley Nicholas Juleff Simon Gubbins John Ward Source Type: research

The role of Type I interferons in the pathogenesis of foot-and-mouth disease virus in cattle: A mathematical modelling analysis
In this study, we explore the interaction between Type I IFN and foot-and-mouth disease virus (FMDV), focusing on the effect of this interaction on epithelial cell death. While several mathematical models have explored the interaction between interferon and viruses at a systemic level, with most of the work undertaken on influenza and hepatitis C, these cannot investigate why a virus such as FMDV causes extensive cell death in some epithelial tissues leading to the development of lesions, while other infected epithelial tissues exhibit negligible cell death. Our study shows how a model that includes epithelial tissue struc...
Source: Mathematical Biosciences - July 26, 2023 Category: Statistics Authors: Kyriaki Giorgakoudi David Schley Nicholas Juleff Simon Gubbins John Ward Source Type: research

The role of Type I interferons in the pathogenesis of foot-and-mouth disease virus in cattle: A mathematical modelling analysis
In this study, we explore the interaction between Type I IFN and foot-and-mouth disease virus (FMDV), focusing on the effect of this interaction on epithelial cell death. While several mathematical models have explored the interaction between interferon and viruses at a systemic level, with most of the work undertaken on influenza and hepatitis C, these cannot investigate why a virus such as FMDV causes extensive cell death in some epithelial tissues leading to the development of lesions, while other infected epithelial tissues exhibit negligible cell death. Our study shows how a model that includes epithelial tissue struc...
Source: Mathematical Biosciences - July 26, 2023 Category: Statistics Authors: Kyriaki Giorgakoudi David Schley Nicholas Juleff Simon Gubbins John Ward Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research

The reinfection threshold, revisited
Math Biosci. 2023 Jul 11:109045. doi: 10.1016/j.mbs.2023.109045. Online ahead of print.ABSTRACTOne mode by which infection-derived immunity fails is when recovery leads to a reduced but nonzero risk of reinfection. This type of partial protection is called leaky immunity with the degree of leakiness quantified by the relative probability a previously infected individual will get infected upon exposure compared to a naively susceptible individual. Previous authors have defined the reinfection threshold, which occurs when the basic reproduction number equals the inverse of the leakiness, however, there has been some debate a...
Source: Mathematical Biosciences - July 13, 2023 Category: Statistics Authors: F M G Magpantay J Mao S Ren S Zhao T Meadows Source Type: research