Mathematical birth of early afterdepolarizations in a cardiomyocyte model
Math Biosci. 2023 Oct 18:109088. doi: 10.1016/j.mbs.2023.109088. Online ahead of print.ABSTRACTEarly Afterdepolarizations (EADs) are abnormal behaviors that can lead to cardiac failure and even cardiac death. In this paper we investigate the occurrence and development of these phenomena in a reduced Luo-Rudy cardiac model. Through a comprehensive dynamical analysis, we map out the distinct patterns observed in the parametric plane, differentiating between normal beats without EADs and pathological beats with EADs. By examining the bifurcation structure of the model, we elucidate the dynamical elements associated with these...
Source: Mathematical Biosciences - October 20, 2023 Category: Statistics Authors: R Barrio J A Jover-Galtier M A Mart ínez L P érez S Serrano Source Type: research
Climate-dependent effectiveness of nonpharmaceutical interventions on COVID-19 mitigation
Math Biosci. 2023 Oct 17:109087. doi: 10.1016/j.mbs.2023.109087. Online ahead of print.ABSTRACTEnvironmental factors have a significant impact on the transmission of infectious diseases. Existing results show that the novel coronavirus can persist outside the host. We propose a susceptible-exposed-presymptomatic-infectious-asymptomatic-recovered -susceptible (SEPIARS) model with a vaccination compartment and indirect incidence to explore the effect of environmental conditions, temperature and humidity, on the transmission of the SARS-CoV-2 virus. Using climate data and daily confirmed cases data in two Canadian cities with...
Source: Mathematical Biosciences - October 20, 2023 Category: Statistics Authors: Juping Ji Hao Wang Lin Wang Pouria Ramazi Jude Dzevela Kong James Watmough Source Type: research
Mathematical birth of early afterdepolarizations in a cardiomyocyte model
Math Biosci. 2023 Oct 18:109088. doi: 10.1016/j.mbs.2023.109088. Online ahead of print.ABSTRACTEarly Afterdepolarizations (EADs) are abnormal behaviors that can lead to cardiac failure and even cardiac death. In this paper we investigate the occurrence and development of these phenomena in a reduced Luo-Rudy cardiac model. Through a comprehensive dynamical analysis, we map out the distinct patterns observed in the parametric plane, differentiating between normal beats without EADs and pathological beats with EADs. By examining the bifurcation structure of the model, we elucidate the dynamical elements associated with these...
Source: Mathematical Biosciences - October 20, 2023 Category: Statistics Authors: R Barrio J A Jover-Galtier M A Mart ínez L P érez S Serrano Source Type: research
Climate-dependent effectiveness of nonpharmaceutical interventions on COVID-19 mitigation
Math Biosci. 2023 Oct 17:109087. doi: 10.1016/j.mbs.2023.109087. Online ahead of print.ABSTRACTEnvironmental factors have a significant impact on the transmission of infectious diseases. Existing results show that the novel coronavirus can persist outside the host. We propose a susceptible-exposed-presymptomatic-infectious-asymptomatic-recovered -susceptible (SEPIARS) model with a vaccination compartment and indirect incidence to explore the effect of environmental conditions, temperature and humidity, on the transmission of the SARS-CoV-2 virus. Using climate data and daily confirmed cases data in two Canadian cities with...
Source: Mathematical Biosciences - October 20, 2023 Category: Statistics Authors: Juping Ji Hao Wang Lin Wang Pouria Ramazi Jude Dzevela Kong James Watmough Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 10;365:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 10;365:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 10;365:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 10;365:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 10;365:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 9:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a type...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Effect of cross-immunity in a two-strain cholera model with aquatic component
Math Biosci. 2023 Oct 9:109086. doi: 10.1016/j.mbs.2023.109086. Online ahead of print.ABSTRACTThe bacteria Vibrio cholerae relies heavily upon an aquatic reservoir as a transmission route with two distinct serotypes observed in many recent outbreaks. In this paper, we extend previously studied ordinary differential equation epidemiological models to create a two-strain SIRP (susceptible-infectious-recovered-pathogen) system which incorporates both partial cross-immunity between disease strains and environmental pathogen transmission. Of particular interest are undamped anti-phase periodic solutions, as these display a type...
Source: Mathematical Biosciences - October 11, 2023 Category: Statistics Authors: Leah LeJeune Cameron Browne Source Type: research
Deconstructing the integrated oscillator model for pancreatic β-cells
This article describes the key biophysical and mathematical elements of this model, and then describes the path forward from there to the Integrated Oscillator Model (IOM). It is both a history and a deconstruction of the IOM that describes the various elements that have been added to the model over time, and the motivation for adding them. Finally, the article is a celebration of the 40th anniversary of the publication of the Chay-Keizer model.PMID:37802364 | DOI:10.1016/j.mbs.2023.109085 (Source: Mathematical Biosciences)
Source: Mathematical Biosciences - October 6, 2023 Category: Statistics Authors: Richard Bertram Isabella Marinelli Patrick A Fletcher Leslie S Satin Arthur S Sherman Source Type: research
Deconstructing the integrated oscillator model for pancreatic β-cells
This article describes the key biophysical and mathematical elements of this model, and then describes the path forward from there to the Integrated Oscillator Model (IOM). It is both a history and a deconstruction of the IOM that describes the various elements that have been added to the model over time, and the motivation for adding them. Finally, the article is a celebration of the 40th anniversary of the publication of the Chay-Keizer model.PMID:37802364 | DOI:10.1016/j.mbs.2023.109085 (Source: Mathematical Biosciences)
Source: Mathematical Biosciences - October 6, 2023 Category: Statistics Authors: Richard Bertram Isabella Marinelli Patrick A Fletcher Leslie S Satin Arthur S Sherman Source Type: research
Deconstructing the integrated oscillator model for pancreatic β-cells
This article describes the key biophysical and mathematical elements of this model, and then describes the path forward from there to the Integrated Oscillator Model (IOM). It is both a history and a deconstruction of the IOM that describes the various elements that have been added to the model over time, and the motivation for adding them. Finally, the article is a celebration of the 40th anniversary of the publication of the Chay-Keizer model.PMID:37802364 | DOI:10.1016/j.mbs.2023.109085 (Source: Mathematical Biosciences)
Source: Mathematical Biosciences - October 6, 2023 Category: Statistics Authors: Richard Bertram Isabella Marinelli Patrick A Fletcher Leslie S Satin Arthur S Sherman Source Type: research
Deconstructing the integrated oscillator model for pancreatic β-cells
This article describes the key biophysical and mathematical elements of this model, and then describes the path forward from there to the Integrated Oscillator Model (IOM). It is both a history and a deconstruction of the IOM that describes the various elements that have been added to the model over time, and the motivation for adding them. Finally, the article is a celebration of the 40th anniversary of the publication of the Chay-Keizer model.PMID:37802364 | DOI:10.1016/j.mbs.2023.109085 (Source: Mathematical Biosciences)
Source: Mathematical Biosciences - October 6, 2023 Category: Statistics Authors: Richard Bertram Isabella Marinelli Patrick A Fletcher Leslie S Satin Arthur S Sherman Source Type: research
