A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension
This study analyzes the change in pulmonary arterial morphometry in the presence of HPH using novel methods from topological data analysis (TDA). We employ persistent homology to quantify arterial morphometry for control and HPH mice characterizing normalized arterial trees extracted from micro-computed tomography (micro-CT) images. We normalize generated trees using three pruning algorithms before comparing the topology of control and HPH trees. This proof-of-concept study shows that the pruning method affects the spatial tree statistics and complexity. We find that HPH trees are stiffer than control trees but have more b...
Source: Mathematical Biosciences - August 7, 2023 Category: Statistics Authors: Megan Miller Natalie Johnston Ian Livengood Miya Spinelli Radmila Sazdanovic Mette S Olufsen Source Type: research
A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension
This study analyzes the change in pulmonary arterial morphometry in the presence of HPH using novel methods from topological data analysis (TDA). We employ persistent homology to quantify arterial morphometry for control and HPH mice characterizing normalized arterial trees extracted from micro-computed tomography (micro-CT) images. We normalize generated trees using three pruning algorithms before comparing the topology of control and HPH trees. This proof-of-concept study shows that the pruning method affects the spatial tree statistics and complexity. We find that HPH trees are stiffer than control trees but have more b...
Source: Mathematical Biosciences - August 7, 2023 Category: Statistics Authors: Megan Miller Natalie Johnston Ian Livengood Miya Spinelli Radmila Sazdanovic Mette S Olufsen Source Type: research
A two-galectin network establishes mesenchymal condensation phenotype in limb development
Math Biosci. 2023 Aug 4:109054. doi: 10.1016/j.mbs.2023.109054. Online ahead of print.ABSTRACTPrevious work showed that Gal-8 and Gal-1A, two proteins belonging to the galactoside-binding galectin family, are the earliest determinants of the patterning of the skeletal elements of embryonic chicken limbs, and further, that their experimentally determined interactions in the embryonic limb bud can be interpreted via a reaction-diffusion-adhesion (2GL: two galectin plus ligands) model. Here, we use an ordinary differential equation-based approach to analyze the intrinsic switching modality of the 2GL network and characterize ...
Source: Mathematical Biosciences - August 6, 2023 Category: Statistics Authors: T Glimm B Ka źmierczak S A Newman R Bhat Source Type: research
A two-galectin network establishes mesenchymal condensation phenotype in limb development
Math Biosci. 2023 Aug 4:109054. doi: 10.1016/j.mbs.2023.109054. Online ahead of print.ABSTRACTPrevious work showed that Gal-8 and Gal-1A, two proteins belonging to the galactoside-binding galectin family, are the earliest determinants of the patterning of the skeletal elements of embryonic chicken limbs, and further, that their experimentally determined interactions in the embryonic limb bud can be interpreted via a reaction-diffusion-adhesion (2GL: two galectin plus ligands) model. Here, we use an ordinary differential equation-based approach to analyze the intrinsic switching modality of the 2GL network and characterize ...
Source: Mathematical Biosciences - August 6, 2023 Category: Statistics Authors: T Glimm B Ka źmierczak S A Newman R Bhat Source Type: research
Stationary status of discrete and continuous age-structured population models
This article argues how the partition theorem-based approach provides more up-to-date and timely measures to find the status of the population stationarity of a country better than the NRR-based approach. We question the timeliness of the value of NRR in deciding the stationary process of the country. We prove associated theorems on discrete and continuous age distributions and derive measurable functional properties. The partitioning metric captures the underlying age structure dynamic of populations at or near stationarity. As the population growth rates for an ever-increasing number of countries trend towards replacemen...
Source: Mathematical Biosciences - August 4, 2023 Category: Statistics Authors: Arni S R Srinivasa Rao James R Carey Source Type: research
Stationary status of discrete and continuous age-structured population models
This article argues how the partition theorem-based approach provides more up-to-date and timely measures to find the status of the population stationarity of a country better than the NRR-based approach. We question the timeliness of the value of NRR in deciding the stationary process of the country. We prove associated theorems on discrete and continuous age distributions and derive measurable functional properties. The partitioning metric captures the underlying age structure dynamic of populations at or near stationarity. As the population growth rates for an ever-increasing number of countries trend towards replacemen...
Source: Mathematical Biosciences - August 4, 2023 Category: Statistics Authors: Arni S R Srinivasa Rao James R Carey Source Type: research
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China
Math Biosci. 2023 Jul 31:109055. doi: 10.1016/j.mbs.2023.109055. Online ahead of print.ABSTRACTDuring the implementation of strong non-pharmaceutical interventions (NPIs), more than one hundred COVID-19 outbreaks induced by different strains in China were dynamically cleared in about 40 days, which presented the characteristics of small scale clustered outbreaks with low peak levels. To address how did randomness affect the dynamic clearing process, we derived an iterative stochastic difference equation for the number of newly reported cases based on the classical stochastic SIR model and calculate the stochastic control r...
Source: Mathematical Biosciences - August 2, 2023 Category: Statistics Authors: Sha He Dingding Yan Hongying Shu Sanyi Tang Xia Wang Robert A Cheke Source Type: research
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China
Math Biosci. 2023 Jul 31:109055. doi: 10.1016/j.mbs.2023.109055. Online ahead of print.ABSTRACTDuring the implementation of strong non-pharmaceutical interventions (NPIs), more than one hundred COVID-19 outbreaks induced by different strains in China were dynamically cleared in about 40 days, which presented the characteristics of small scale clustered outbreaks with low peak levels. To address how did randomness affect the dynamic clearing process, we derived an iterative stochastic difference equation for the number of newly reported cases based on the classical stochastic SIR model and calculate the stochastic control r...
Source: Mathematical Biosciences - August 2, 2023 Category: Statistics Authors: Sha He Dingding Yan Hongying Shu Sanyi Tang Xia Wang Robert A Cheke Source Type: research
Randomness accelerates the dynamic clearing process of the COVID-19 outbreaks in China
Math Biosci. 2023 Jul 31:109055. doi: 10.1016/j.mbs.2023.109055. Online ahead of print.ABSTRACTDuring the implementation of strong non-pharmaceutical interventions (NPIs), more than one hundred COVID-19 outbreaks induced by different strains in China were dynamically cleared in about 40 days, which presented the characteristics of small scale clustered outbreaks with low peak levels. To address how did randomness affect the dynamic clearing process, we derived an iterative stochastic difference equation for the number of newly reported cases based on the classical stochastic SIR model and calculate the stochastic control r...
Source: Mathematical Biosciences - August 2, 2023 Category: Statistics Authors: Sha He Dingding Yan Hongying Shu Sanyi Tang Xia Wang Robert A Cheke 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
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
