Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus
Bull Math Biol. 2024 Apr 28;86(6):66. doi: 10.1007/s11538-024-01291-3.ABSTRACTThe development of autoimmune diseases often takes years before clinical symptoms become detectable. We propose a mathematical model for the immune response during the initial stage of Systemic Lupus Erythematosus which models the process of aberrant apoptosis and activation of macrophages and neutrophils. NETosis is a type of cell death characterised by the release of neutrophil extracellular traps, or NETs, containing material from the neutrophil's nucleus, in response to a pathogenic stimulus. This process is hypothesised to contribute to the ...
Source: Bulletin of Mathematical Biology - April 28, 2024 Category: Bioinformatics Authors: Vladimira Suvandjieva Ivanka Tsacheva Marlene Santos Georgios Kararigas Peter Rashkov Source Type: research
Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus
Bull Math Biol. 2024 Apr 28;86(6):66. doi: 10.1007/s11538-024-01291-3.ABSTRACTThe development of autoimmune diseases often takes years before clinical symptoms become detectable. We propose a mathematical model for the immune response during the initial stage of Systemic Lupus Erythematosus which models the process of aberrant apoptosis and activation of macrophages and neutrophils. NETosis is a type of cell death characterised by the release of neutrophil extracellular traps, or NETs, containing material from the neutrophil's nucleus, in response to a pathogenic stimulus. This process is hypothesised to contribute to the ...
Source: Bulletin of Mathematical Biology - April 28, 2024 Category: Bioinformatics Authors: Vladimira Suvandjieva Ivanka Tsacheva Marlene Santos Georgios Kararigas Peter Rashkov Source Type: research
Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus
Bull Math Biol. 2024 Apr 28;86(6):66. doi: 10.1007/s11538-024-01291-3.ABSTRACTThe development of autoimmune diseases often takes years before clinical symptoms become detectable. We propose a mathematical model for the immune response during the initial stage of Systemic Lupus Erythematosus which models the process of aberrant apoptosis and activation of macrophages and neutrophils. NETosis is a type of cell death characterised by the release of neutrophil extracellular traps, or NETs, containing material from the neutrophil's nucleus, in response to a pathogenic stimulus. This process is hypothesised to contribute to the ...
Source: Bulletin of Mathematical Biology - April 28, 2024 Category: Bioinformatics Authors: Vladimira Suvandjieva Ivanka Tsacheva Marlene Santos Georgios Kararigas Peter Rashkov Source Type: research
Convex Representation of Metabolic Networks with Michaelis-Menten Kinetics
Bull Math Biol. 2024 Apr 26;86(6):65. doi: 10.1007/s11538-024-01293-1.ABSTRACTPolyhedral models of metabolic networks are computationally tractable and can predict some cellular functions. A longstanding challenge is incorporating metabolites without losing tractability. In this paper, we do so using a new second-order cone representation of the Michaelis-Menten kinetics. The resulting model consists of linear stoichiometric constraints alongside second-order cone constraints that couple the reaction fluxes to metabolite concentrations. We formulate several new problems around this model: conic flux balance analysis, which...
Source: Bulletin of Mathematical Biology - April 26, 2024 Category: Bioinformatics Authors: Josh A Taylor Alain Rapaport Denis Dochain Source Type: research
Convex Representation of Metabolic Networks with Michaelis-Menten Kinetics
Bull Math Biol. 2024 Apr 26;86(6):65. doi: 10.1007/s11538-024-01293-1.ABSTRACTPolyhedral models of metabolic networks are computationally tractable and can predict some cellular functions. A longstanding challenge is incorporating metabolites without losing tractability. In this paper, we do so using a new second-order cone representation of the Michaelis-Menten kinetics. The resulting model consists of linear stoichiometric constraints alongside second-order cone constraints that couple the reaction fluxes to metabolite concentrations. We formulate several new problems around this model: conic flux balance analysis, which...
Source: Bulletin of Mathematical Biology - April 26, 2024 Category: Bioinformatics Authors: Josh A Taylor Alain Rapaport Denis Dochain Source Type: research
Coevolution of Age-Structured Tolerance and Virulence
Bull Math Biol. 2024 Apr 25;86(6):62. doi: 10.1007/s11538-024-01292-2.ABSTRACTHosts can evolve a variety of defences against parasitism, including resistance (which prevents or reduces the spread of infection) and tolerance (which protects against virulence). Some organisms have evolved different levels of tolerance at different life-stages, which is likely to be the result of coevolution with pathogens, and yet it is currently unclear how coevolution drives patterns of age-specific tolerance. Here, we use a model of tolerance-virulence coevolution to investigate how age structure influences coevolutionary dynamics. Specif...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Lydia J Buckingham Ben Ashby Source Type: research
A Mathematical Model for the Impact of 3HP and Social Programme Implementation on the Incidence and Mortality of Tuberculosis: Study in Brazil
Bull Math Biol. 2024 Apr 25;86(6):61. doi: 10.1007/s11538-024-01285-1.ABSTRACTIn this paper, we presented a mathematical model for tuberculosis with treatment for latent tuberculosis cases and incorporated social implementations based on the impact they will have on tuberculosis incidence, cure, and recovery. We incorporated two variables containing the accumulated deaths and active cases into the model in order to study the incidence and mortality rate per year with the data reported by the model. Our objective is to study the impact of social program implementations and therapies on latent tuberculosis in particular the ...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Erick Manuel Delgado Moya Jose Alejandro Ordo ñez Felipe Alves Rubio Mauro Niskier Sanchez Robson Bruniera de Oliveira Rodrigo Volmir Anderle Davide Rasella Source Type: research
Modelling Plasmid-Mediated Horizontal Gene Transfer in Biofilms
In this study, we present a mathematical model for plasmid spread in a growing biofilm, formulated as a nonlocal system of partial differential equations in a 1-D free boundary domain. Plasmids are mobile genetic elements able to transfer to different phylotypes, posing a global health problem when they carry antibiotic resistance factors. We model gene transfer regulation influenced by nearby potential receptors to account for recipient-sensing. We also introduce a promotion function to account for trace metal effects on conjugation, based on literature data. The model qualitatively matches experimental results, showing t...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Julien Vincent Alberto Tenore Maria Rosaria Mattei Luigi Frunzo Source Type: research
A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework
Bull Math Biol. 2024 Apr 25;86(6):64. doi: 10.1007/s11538-024-01286-0.ABSTRACTWe introduce in this paper substantial enhancements to a previously proposed hybrid multiscale cancer invasion modelling framework to better reflect the biological reality and dynamics of cancer. These model updates contribute to a more accurate representation of cancer dynamics, they provide deeper insights and enhance our predictive capabilities. Key updates include the integration of porous medium-like diffusion for the evolution of Epithelial-like Cancer Cells and other essential cellular constituents of the system, more realistic modelling o...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Dimitrios Katsaounis Nicholas Harbour Thomas Williams Mark Aj Chaplain Nikolaos Sfakianakis Source Type: research
Coevolution of Age-Structured Tolerance and Virulence
Bull Math Biol. 2024 Apr 25;86(6):62. doi: 10.1007/s11538-024-01292-2.ABSTRACTHosts can evolve a variety of defences against parasitism, including resistance (which prevents or reduces the spread of infection) and tolerance (which protects against virulence). Some organisms have evolved different levels of tolerance at different life-stages, which is likely to be the result of coevolution with pathogens, and yet it is currently unclear how coevolution drives patterns of age-specific tolerance. Here, we use a model of tolerance-virulence coevolution to investigate how age structure influences coevolutionary dynamics. Specif...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Lydia J Buckingham Ben Ashby Source Type: research
A Mathematical Model for the Impact of 3HP and Social Programme Implementation on the Incidence and Mortality of Tuberculosis: Study in Brazil
Bull Math Biol. 2024 Apr 25;86(6):61. doi: 10.1007/s11538-024-01285-1.ABSTRACTIn this paper, we presented a mathematical model for tuberculosis with treatment for latent tuberculosis cases and incorporated social implementations based on the impact they will have on tuberculosis incidence, cure, and recovery. We incorporated two variables containing the accumulated deaths and active cases into the model in order to study the incidence and mortality rate per year with the data reported by the model. Our objective is to study the impact of social program implementations and therapies on latent tuberculosis in particular the ...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Erick Manuel Delgado Moya Jose Alejandro Ordo ñez Felipe Alves Rubio Mauro Niskier Sanchez Robson Bruniera de Oliveira Rodrigo Volmir Anderle Davide Rasella Source Type: research
A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework
Bull Math Biol. 2024 Apr 25;86(6):64. doi: 10.1007/s11538-024-01286-0.ABSTRACTWe introduce in this paper substantial enhancements to a previously proposed hybrid multiscale cancer invasion modelling framework to better reflect the biological reality and dynamics of cancer. These model updates contribute to a more accurate representation of cancer dynamics, they provide deeper insights and enhance our predictive capabilities. Key updates include the integration of porous medium-like diffusion for the evolution of Epithelial-like Cancer Cells and other essential cellular constituents of the system, more realistic modelling o...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Dimitrios Katsaounis Nicholas Harbour Thomas Williams Mark Aj Chaplain Nikolaos Sfakianakis Source Type: research
Modelling Plasmid-Mediated Horizontal Gene Transfer in Biofilms
In this study, we present a mathematical model for plasmid spread in a growing biofilm, formulated as a nonlocal system of partial differential equations in a 1-D free boundary domain. Plasmids are mobile genetic elements able to transfer to different phylotypes, posing a global health problem when they carry antibiotic resistance factors. We model gene transfer regulation influenced by nearby potential receptors to account for recipient-sensing. We also introduce a promotion function to account for trace metal effects on conjugation, based on literature data. The model qualitatively matches experimental results, showing t...
Source: Bulletin of Mathematical Biology - April 25, 2024 Category: Bioinformatics Authors: Julien Vincent Alberto Tenore Maria Rosaria Mattei Luigi Frunzo Source Type: research
Untangling the Molecular Interactions Underlying Intracellular Phase Separation Using Combined Global Sensitivity Analyses
Bull Math Biol. 2024 Apr 20;86(5):60. doi: 10.1007/s11538-024-01288-y.ABSTRACTLiquid-liquid phase separation is an intracellular mechanism by which molecules, usually proteins and RNAs, interact and then rapidly demix from the surrounding matrix to form membrane-less compartments necessary for cellular function. Occurring in both the cytoplasm and the nucleus, properties of the resulting droplets depend on a variety of characteristics specific to the molecules involved, such as valency, density, and diffusion within the crowded environment. Capturing these complexities in a biologically relevant model is difficult. To unde...
Source: Bulletin of Mathematical Biology - April 19, 2024 Category: Bioinformatics Authors: Kelsey I Gasior Nicholas G Cogan Source Type: research
Untangling the Molecular Interactions Underlying Intracellular Phase Separation Using Combined Global Sensitivity Analyses
Bull Math Biol. 2024 Apr 20;86(5):60. doi: 10.1007/s11538-024-01288-y.ABSTRACTLiquid-liquid phase separation is an intracellular mechanism by which molecules, usually proteins and RNAs, interact and then rapidly demix from the surrounding matrix to form membrane-less compartments necessary for cellular function. Occurring in both the cytoplasm and the nucleus, properties of the resulting droplets depend on a variety of characteristics specific to the molecules involved, such as valency, density, and diffusion within the crowded environment. Capturing these complexities in a biologically relevant model is difficult. To unde...
Source: Bulletin of Mathematical Biology - April 19, 2024 Category: Bioinformatics Authors: Kelsey I Gasior Nicholas G Cogan Source Type: research
