A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells
Math Biosci. 2023 Oct 31;366:109104. doi: 10.1016/j.mbs.2023.109104. Online ahead of print.ABSTRACTIn this work, we introduce a phenomenological model for the cone-horizontal cell assembly, including spatial integration and formation of receptive field-like structures. The model extends our previous dynamical adaptation description with gain control accounting for processes in single cones, valid in severe nonlinear regimes. Here, a spatially extended feedback mechanism is introduced from horizontal cells to cones to account for experimental evidence, contributing thus to the development of a center-surround receptive fiel...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Miguel Castillo Garc ía Eugenio Urdapilleta Source Type: research
Optimal vaccination strategies for a heterogenous population using multiple objectives: The case of L < sub > 1 < /sub > - and L < sub > 2 < /sub > -formulations
In this study, we investigate the role of the objective functional on the structure of the optimal control solution for an epidemic model for sexually transmitted infections that includes a core group with higher sexual activity levels than the rest of the population. An optimal control problem is formulated to find a targeted vaccination program able to control the spread of the infection with minimum vaccine deployment. Both L1- and L2-objectives are considered as an attempt to explore the trade-offs between control dynamics and the functional form characterizing optimality. The results show that the optimal vaccination ...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Fernando Salda ña Amira Kebir Jos é Ariel Camacho-Gutiérrez Ma íra Aguiar Source Type: research
A dynamical adaptation model of visual spatiotemporal processing in cones and horizontal cells
Math Biosci. 2023 Oct 31:109104. doi: 10.1016/j.mbs.2023.109104. Online ahead of print.ABSTRACTIn this work, we introduce a phenomenological model for the cone-horizontal cell assembly, including spatial integration and formation of receptive field-like structures. The model extends our previous dynamical adaptation description with gain control accounting for processes in single cones, valid in severe nonlinear regimes. Here, a spatially extended feedback mechanism is introduced from horizontal cells to cones to account for experimental evidence, contributing thus to the development of a center-surround receptive field in...
Source: Mathematical Biosciences - November 2, 2023 Category: Statistics Authors: Miguel Castillo Garc ía Eugenio Urdapilleta Source Type: research
Hypergraphs and centrality measures identifying key features in gene expression data
Math Biosci. 2023 Oct 30:109089. doi: 10.1016/j.mbs.2023.109089. Online ahead of print.ABSTRACTMultidisciplinary approaches can significantly advance our understanding of complex systems. For instance, gene co-expression networks align prior knowledge of biological systems with studies in graph theory, emphasising pairwise gene to gene interactions. In this paper, we extend these ideas, promoting hypergraphs as an investigative tool for studying multi-way interactions in gene expression data. Additional freedoms are achieved by representing individual genes with hyperedges, and simultaneously testing each gene against many...
Source: Mathematical Biosciences - November 1, 2023 Category: Statistics Authors: Samuel Barton Zoe Broad Daniel Ortiz-Barrientos Diane Donovan James Lefevre Source Type: research
Hypergraphs and centrality measures identifying key features in gene expression data
Math Biosci. 2023 Oct 30:109089. doi: 10.1016/j.mbs.2023.109089. Online ahead of print.ABSTRACTMultidisciplinary approaches can significantly advance our understanding of complex systems. For instance, gene co-expression networks align prior knowledge of biological systems with studies in graph theory, emphasising pairwise gene to gene interactions. In this paper, we extend these ideas, promoting hypergraphs as an investigative tool for studying multi-way interactions in gene expression data. Additional freedoms are achieved by representing individual genes with hyperedges, and simultaneously testing each gene against many...
Source: Mathematical Biosciences - November 1, 2023 Category: Statistics Authors: Samuel Barton Zoe Broad Daniel Ortiz-Barrientos Diane Donovan James Lefevre Source Type: research
Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation
Math Biosci. 2023 Oct 26;366:109090. doi: 10.1016/j.mbs.2023.109090. Online ahead of print.ABSTRACTAs an emerging global epidemic, type 2 diabetes mellitus (T2DM) represents one of the leading causes of morbidity and mortality worldwide. Existing evidences demonstrated that glucagon-like peptide-1 (GLP-1) modulate the glucose regulatory system by enhancing the β-cell function. However, the detailed process of GLP-1 in glycaemic regulator for T2DM remains to be clarified. Thus, in this study, we propose an Institute of Cancer Research (ICR) mice high fat and cholesterol dietary experimental data-driven mathematical model t...
Source: Mathematical Biosciences - October 27, 2023 Category: Statistics Authors: Yu Zhao Wenjun Jing Liping Li Shi Zhao Masayuki Yamasaki Source Type: research
Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation
Math Biosci. 2023 Oct 26;366:109090. doi: 10.1016/j.mbs.2023.109090. Online ahead of print.ABSTRACTAs an emerging global epidemic, type 2 diabetes mellitus (T2DM) represents one of the leading causes of morbidity and mortality worldwide. Existing evidences demonstrated that glucagon-like peptide-1 (GLP-1) modulate the glucose regulatory system by enhancing the β-cell function. However, the detailed process of GLP-1 in glycaemic regulator for T2DM remains to be clarified. Thus, in this study, we propose an Institute of Cancer Research (ICR) mice high fat and cholesterol dietary experimental data-driven mathematical model t...
Source: Mathematical Biosciences - October 27, 2023 Category: Statistics Authors: Yu Zhao Wenjun Jing Liping Li Shi Zhao Masayuki Yamasaki Source Type: research
Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation
Math Biosci. 2023 Oct 26;366:109090. doi: 10.1016/j.mbs.2023.109090. Online ahead of print.ABSTRACTAs an emerging global epidemic, type 2 diabetes mellitus (T2DM) represents one of the leading causes of morbidity and mortality worldwide. Existing evidences demonstrated that glucagon-like peptide-1 (GLP-1) modulate the glucose regulatory system by enhancing the β-cell function. However, the detailed process of GLP-1 in glycaemic regulator for T2DM remains to be clarified. Thus, in this study, we propose an Institute of Cancer Research (ICR) mice high fat and cholesterol dietary experimental data-driven mathematical model t...
Source: Mathematical Biosciences - October 27, 2023 Category: Statistics Authors: Yu Zhao Wenjun Jing Liping Li Shi Zhao Masayuki Yamasaki Source Type: research
Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation
Math Biosci. 2023 Oct 26;366:109090. doi: 10.1016/j.mbs.2023.109090. Online ahead of print.ABSTRACTAs an emerging global epidemic, type 2 diabetes mellitus (T2DM) represents one of the leading causes of morbidity and mortality worldwide. Existing evidences demonstrated that glucagon-like peptide-1 (GLP-1) modulate the glucose regulatory system by enhancing the β-cell function. However, the detailed process of GLP-1 in glycaemic regulator for T2DM remains to be clarified. Thus, in this study, we propose an Institute of Cancer Research (ICR) mice high fat and cholesterol dietary experimental data-driven mathematical model t...
Source: Mathematical Biosciences - October 27, 2023 Category: Statistics Authors: Yu Zhao Wenjun Jing Liping Li Shi Zhao Masayuki Yamasaki Source Type: research
Climate-dependent effectiveness of nonpharmaceutical interventions on COVID-19 mitigation
Math Biosci. 2023 Oct 18;366:109087. 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 w...
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 19;366:109088. 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 t...
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 18;366:109087. 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 w...
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 18;366:109087. 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 w...
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
