Three-patch Models for the Evolution of Dispersal in Advective Environments: Varying Drift and Network Topology
Bull Math Biol. 2021 Sep 15;83(10):109. doi: 10.1007/s11538-021-00939-8.ABSTRACTWe study the evolution of dispersal in advective three-patch models with distinct network topologies. Organisms can move between connected patches freely and they are also subject to the passive, directed drift. The carrying capacity is assumed to be the same in all patches, while the drift rates could vary. We first show that if all drift rates are the same, the faster dispersal rate is selected for all three models. For general drift rates, we show that the infinite diffusion rate is a local Convergence Stable Strategy (CvSS) for all three mo...
Source: Bulletin of Mathematical Biology - September 15, 2021 Category: Bioinformatics Authors: Hongyan Jiang King-Yeung Lam Yuan Lou Source Type: research

Three-patch Models for the Evolution of Dispersal in Advective Environments: Varying Drift and Network Topology
Bull Math Biol. 2021 Sep 15;83(10):109. doi: 10.1007/s11538-021-00939-8.ABSTRACTWe study the evolution of dispersal in advective three-patch models with distinct network topologies. Organisms can move between connected patches freely and they are also subject to the passive, directed drift. The carrying capacity is assumed to be the same in all patches, while the drift rates could vary. We first show that if all drift rates are the same, the faster dispersal rate is selected for all three models. For general drift rates, we show that the infinite diffusion rate is a local Convergence Stable Strategy (CvSS) for all three mo...
Source: Bulletin of Mathematical Biology - September 15, 2021 Category: Bioinformatics Authors: Hongyan Jiang King-Yeung Lam Yuan Lou Source Type: research

Three-patch Models for the Evolution of Dispersal in Advective Environments: Varying Drift and Network Topology
Bull Math Biol. 2021 Sep 15;83(10):109. doi: 10.1007/s11538-021-00939-8.ABSTRACTWe study the evolution of dispersal in advective three-patch models with distinct network topologies. Organisms can move between connected patches freely and they are also subject to the passive, directed drift. The carrying capacity is assumed to be the same in all patches, while the drift rates could vary. We first show that if all drift rates are the same, the faster dispersal rate is selected for all three models. For general drift rates, we show that the infinite diffusion rate is a local Convergence Stable Strategy (CvSS) for all three mo...
Source: Bulletin of Mathematical Biology - September 15, 2021 Category: Bioinformatics Authors: Hongyan Jiang King-Yeung Lam Yuan Lou Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

The Effect of Harvesting Adults on the Evolution of Reproduction Age Via Density-Dependent Juvenile Mortality
Bull Math Biol. 2021 Sep 8;83(10):108. doi: 10.1007/s11538-021-00940-1.ABSTRACTIn this paper, we used a generic two-stage population model to derive an adaptive dynamical system for the evolution of reproduction age and studied how this evolution is driven by the harvest of adults. We considered the tradeoffs between maturation rate and fecundity, juvenile mortality, and adult mortality. We analyzed the benefit and cost of faster maturation under each tradeoff that drives the evolution. We found that harvesting adults affects the evolution of maturation by affecting the benefit. For the tradeoff between maturation and juve...
Source: Bulletin of Mathematical Biology - September 9, 2021 Category: Bioinformatics Authors: Shuyang Xue Meili Li Junling Ma Jia Li Source Type: research

Towards Building a Sustainable Future: Positioning Ecological Modelling for Impact in Ecosystems Management
Bull Math Biol. 2021 Sep 4;83(10):107. doi: 10.1007/s11538-021-00927-y.ABSTRACTAs many ecosystems worldwide are in peril, efforts to manage them sustainably require scientific advice. While numerous researchers around the world use a great variety of models to understand ecological dynamics and their responses to disturbances, only a small fraction of these models are ever used to inform ecosystem management. There seems to be a perception that ecological models are not useful for management, even though mathematical models are indispensable in many other fields. We were curious about this mismatch, its roots, and potentia...
Source: Bulletin of Mathematical Biology - September 5, 2021 Category: Bioinformatics Authors: Donald L DeAngelis Daniel Franco Alan Hastings Frank M Hilker Suzanne Lenhart Frithjof Lutscher Natalia Petrovskaya Sergei Petrovskii Rebecca C Tyson Source Type: research

Towards Building a Sustainable Future: Positioning Ecological Modelling for Impact in Ecosystems Management
Bull Math Biol. 2021 Sep 4;83(10):107. doi: 10.1007/s11538-021-00927-y.ABSTRACTAs many ecosystems worldwide are in peril, efforts to manage them sustainably require scientific advice. While numerous researchers around the world use a great variety of models to understand ecological dynamics and their responses to disturbances, only a small fraction of these models are ever used to inform ecosystem management. There seems to be a perception that ecological models are not useful for management, even though mathematical models are indispensable in many other fields. We were curious about this mismatch, its roots, and potentia...
Source: Bulletin of Mathematical Biology - September 5, 2021 Category: Bioinformatics Authors: Donald L DeAngelis Daniel Franco Alan Hastings Frank M Hilker Suzanne Lenhart Frithjof Lutscher Natalia Petrovskaya Sergei Petrovskii Rebecca C Tyson Source Type: research

Mathematical Model for Delayed Responses in Immune Checkpoint Blockades
Bull Math Biol. 2021 Sep 3;83(10):106. doi: 10.1007/s11538-021-00933-0.ABSTRACTWe introduce a set of ordinary differential equations (ODEs) that qualitatively reproduce delayed responses observed in immune checkpoint blockade therapy (e.g. anti-CTLA-4 ipilimumab). This type of immunotherapy has been at the forefront of novel and promising cancer treatments over the past decade and was recognised by the 2018 Nobel Prize in Medicine. Our model describes the competition between effector T cells and non-effector T cells in a tumour. By calibrating a small subset of parameters that control immune checkpoint expression along wit...
Source: Bulletin of Mathematical Biology - September 3, 2021 Category: Bioinformatics Authors: Collin Y Zheng Peter S Kim Source Type: research

Multiscale Modeling of Uranium Bioreduction in Porous Media by One-Dimensional Biofilms
Bull Math Biol. 2021 Sep 3;83(10):105. doi: 10.1007/s11538-021-00938-9.ABSTRACTWe formulate a multiscale mathematical model that describes the bioreduction of uranium in porous media. On the mesoscale we describe the bioreduction of uranium [VI] to uranium [IV] using a multispecies one-dimensional biofilm model with suspended bacteria and thermodynamic growth inhibition. We upscale the mesoscopic (colony scale) model to the macroscale (reactor scale) and investigate the behavior of substrate utilization and production, attachment and detachment processes, and thermodynamic effects not usually considered in biofilm growth m...
Source: Bulletin of Mathematical Biology - September 3, 2021 Category: Bioinformatics Authors: Harry J Gaebler Hermann J Eberl Source Type: research

Atto-Foxes and Other Minutiae
We describe the occurrence of the atto-fox problem in other contexts, such as the microbial 'yocto-cell' problem, and we suggest that the modelling resolution is to allow for the existence of a reservoir for the extinctively challenged individuals. This is functionally similar to the concept of a 'refuge' in predator-prey systems and represents a state for the individuals in which they are immune from destruction. For what I call the 'frogspawn' problem, where only a few individuals survive to adulthood from a large number of eggs, we provide a simple explanation based on a Holling type 3 response and elaborate it by means...
Source: Bulletin of Mathematical Biology - August 31, 2021 Category: Bioinformatics Authors: A C Fowler Source Type: research

Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs
Bull Math Biol. 2021 Aug 30;83(10):103. doi: 10.1007/s11538-021-00935-y.ABSTRACTWe combine a systems pharmacology approach with an agent-based modelling approach to simulate LoVo cells subjected to AZD6738, an ATR (ataxia-telangiectasia-mutated and rad3-related kinase) inhibiting anti-cancer drug that can hinder tumour proliferation by targeting cellular DNA damage responses. The agent-based model used in this study is governed by a set of empirically observable rules. By adjusting only the rules when moving between monolayer and multi-cellular tumour spheroid simulations, whilst keeping the fundamental mathematical model ...
Source: Bulletin of Mathematical Biology - August 30, 2021 Category: Bioinformatics Authors: Sara Hamis James Yates Mark A J Chaplain Gibin G Powathil Source Type: research

Correction to: Resonance in Physiologically Structured Population Models
Bull Math Biol. 2021 Aug 30;83(10):102. doi: 10.1007/s11538-021-00931-2.NO ABSTRACTPMID:34460011 | DOI:10.1007/s11538-021-00931-2 (Source: Bulletin of Mathematical Biology)
Source: Bulletin of Mathematical Biology - August 30, 2021 Category: Bioinformatics Authors: Kevin Gross Andr é M de Roos Source Type: research

Targeting Cellular DNA Damage Responses in Cancer: An In Vitro-Calibrated Agent-Based Model Simulating Monolayer and Spheroid Treatment Responses to ATR-Inhibiting Drugs
Bull Math Biol. 2021 Aug 30;83(10):103. doi: 10.1007/s11538-021-00935-y.ABSTRACTWe combine a systems pharmacology approach with an agent-based modelling approach to simulate LoVo cells subjected to AZD6738, an ATR (ataxia-telangiectasia-mutated and rad3-related kinase) inhibiting anti-cancer drug that can hinder tumour proliferation by targeting cellular DNA damage responses. The agent-based model used in this study is governed by a set of empirically observable rules. By adjusting only the rules when moving between monolayer and multi-cellular tumour spheroid simulations, whilst keeping the fundamental mathematical model ...
Source: Bulletin of Mathematical Biology - August 30, 2021 Category: Bioinformatics Authors: Sara Hamis James Yates Mark A J Chaplain Gibin G Powathil Source Type: research

Correction to: Resonance in Physiologically Structured Population Models
Bull Math Biol. 2021 Aug 30;83(10):102. doi: 10.1007/s11538-021-00931-2.NO ABSTRACTPMID:34460011 | DOI:10.1007/s11538-021-00931-2 (Source: Bulletin of Mathematical Biology)
Source: Bulletin of Mathematical Biology - August 30, 2021 Category: Bioinformatics Authors: Kevin Gross Andr é M de Roos Source Type: research

Basin Transition and Alternative States: Role of Multi-species Herbivores-Induced Volatile in Plant-Insect Interactions
Bull Math Biol. 2021 Aug 26;83(10):100. doi: 10.1007/s11538-021-00930-3.ABSTRACTA simple model on volatile organic compound (VOC)-mediated plant-insect interactions is proposed and examined here, when two different classes of herbivorous insects competing for a common resource (plant) in the presence of a specialist carnivorous enemy, which only predates one of the herbivore species. We, particularly, emphasize the impact of VOCs on plant's growth fitness. The system experiences several local and global bifurcations with emergent alternative states for variations in recruitment factors and predation rate. Basin transitions...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: Ritwika Mondal Suman Saha Dipak Kesh Debasis Mukherjee Source Type: research

Parameter Estimation in a PDE Model for the Spatial Spread of Cocoa Black Pod Disease
Bull Math Biol. 2021 Aug 27;83(10):101. doi: 10.1007/s11538-021-00934-z.ABSTRACTIn this paper, we develop an epidemiological model with both environmental (primary infection from the environmental spores reservoir) and direct transmission (secondary infection from an infected host to a susceptible pod). This model simulates the spatiotemporal evolution of cocoa black pod disease caused by Phytophthora megakarya. Since reliable parameter estimation is a central issue for modeling realistic biological systems, we used a mechanistic-statistical approach to estimate model parameters from real observations of a specific cocoa p...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: C G Nembot Fomba G M Ten Hoopen S Soubeyrand L Roques Z Ambang P Takam Soh Source Type: research

Basin Transition and Alternative States: Role of Multi-species Herbivores-Induced Volatile in Plant-Insect Interactions
Bull Math Biol. 2021 Aug 26;83(10):100. doi: 10.1007/s11538-021-00930-3.ABSTRACTA simple model on volatile organic compound (VOC)-mediated plant-insect interactions is proposed and examined here, when two different classes of herbivorous insects competing for a common resource (plant) in the presence of a specialist carnivorous enemy, which only predates one of the herbivore species. We, particularly, emphasize the impact of VOCs on plant's growth fitness. The system experiences several local and global bifurcations with emergent alternative states for variations in recruitment factors and predation rate. Basin transitions...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: Ritwika Mondal Suman Saha Dipak Kesh Debasis Mukherjee Source Type: research

Parameter Estimation in a PDE Model for the Spatial Spread of Cocoa Black Pod Disease
Bull Math Biol. 2021 Aug 27;83(10):101. doi: 10.1007/s11538-021-00934-z.ABSTRACTIn this paper, we develop an epidemiological model with both environmental (primary infection from the environmental spores reservoir) and direct transmission (secondary infection from an infected host to a susceptible pod). This model simulates the spatiotemporal evolution of cocoa black pod disease caused by Phytophthora megakarya. Since reliable parameter estimation is a central issue for modeling realistic biological systems, we used a mechanistic-statistical approach to estimate model parameters from real observations of a specific cocoa p...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: C G Nembot Fomba G M Ten Hoopen S Soubeyrand L Roques Z Ambang P Takam Soh Source Type: research

Basin Transition and Alternative States: Role of Multi-species Herbivores-Induced Volatile in Plant-Insect Interactions
Bull Math Biol. 2021 Aug 26;83(10):100. doi: 10.1007/s11538-021-00930-3.ABSTRACTA simple model on volatile organic compound (VOC)-mediated plant-insect interactions is proposed and examined here, when two different classes of herbivorous insects competing for a common resource (plant) in the presence of a specialist carnivorous enemy, which only predates one of the herbivore species. We, particularly, emphasize the impact of VOCs on plant's growth fitness. The system experiences several local and global bifurcations with emergent alternative states for variations in recruitment factors and predation rate. Basin transitions...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: Ritwika Mondal Suman Saha Dipak Kesh Debasis Mukherjee Source Type: research

Parameter Estimation in a PDE Model for the Spatial Spread of Cocoa Black Pod Disease
Bull Math Biol. 2021 Aug 27;83(10):101. doi: 10.1007/s11538-021-00934-z.ABSTRACTIn this paper, we develop an epidemiological model with both environmental (primary infection from the environmental spores reservoir) and direct transmission (secondary infection from an infected host to a susceptible pod). This model simulates the spatiotemporal evolution of cocoa black pod disease caused by Phytophthora megakarya. Since reliable parameter estimation is a central issue for modeling realistic biological systems, we used a mechanistic-statistical approach to estimate model parameters from real observations of a specific cocoa p...
Source: Bulletin of Mathematical Biology - August 27, 2021 Category: Bioinformatics Authors: C G Nembot Fomba G M Ten Hoopen S Soubeyrand L Roques Z Ambang P Takam Soh Source Type: research

A Comparison of the "Reduced Losses" and "Increased Production" Models for Mussel Bed Dynamics
Bull Math Biol. 2021 Aug 24;83(10):99. doi: 10.1007/s11538-021-00932-1.ABSTRACTSelf-organised regular pattern formation is one of the foremost examples of the development of complexity in ecosystems. Despite the wide array of mechanistic models that have been proposed to understand pattern formation, there is limited general understanding of the feedback processes causing pattern formation in ecosystems, and how these affect ecosystem patterning and functioning. Here we propose a generalised model for pattern formation that integrates two types of within-patch feedback: amplification of growth and reduction of losses. Both...
Source: Bulletin of Mathematical Biology - August 24, 2021 Category: Bioinformatics Authors: Jonathan A Sherratt Quan-Xing Liu Johan van de Koppel Source Type: research

A Comparison of the "Reduced Losses" and "Increased Production" Models for Mussel Bed Dynamics
Bull Math Biol. 2021 Aug 24;83(10):99. doi: 10.1007/s11538-021-00932-1.ABSTRACTSelf-organised regular pattern formation is one of the foremost examples of the development of complexity in ecosystems. Despite the wide array of mechanistic models that have been proposed to understand pattern formation, there is limited general understanding of the feedback processes causing pattern formation in ecosystems, and how these affect ecosystem patterning and functioning. Here we propose a generalised model for pattern formation that integrates two types of within-patch feedback: amplification of growth and reduction of losses. Both...
Source: Bulletin of Mathematical Biology - August 24, 2021 Category: Bioinformatics Authors: Jonathan A Sherratt Quan-Xing Liu Johan van de Koppel Source Type: research

A Comparison of the "Reduced Losses" and "Increased Production" Models for Mussel Bed Dynamics
Bull Math Biol. 2021 Aug 24;83(10):99. doi: 10.1007/s11538-021-00932-1.ABSTRACTSelf-organised regular pattern formation is one of the foremost examples of the development of complexity in ecosystems. Despite the wide array of mechanistic models that have been proposed to understand pattern formation, there is limited general understanding of the feedback processes causing pattern formation in ecosystems, and how these affect ecosystem patterning and functioning. Here we propose a generalised model for pattern formation that integrates two types of within-patch feedback: amplification of growth and reduction of losses. Both...
Source: Bulletin of Mathematical Biology - August 24, 2021 Category: Bioinformatics Authors: Jonathan A Sherratt Quan-Xing Liu Johan van de Koppel Source Type: research

The Role of Movement Patterns in Epidemic Models on Complex Networks
Bull Math Biol. 2021 Aug 19;83(10):98. doi: 10.1007/s11538-021-00929-w.ABSTRACTIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree ...
Source: Bulletin of Mathematical Biology - August 19, 2021 Category: Bioinformatics Authors: Alfonso Ruiz-Herrera Pedro J Torres Source Type: research

The Role of Movement Patterns in Epidemic Models on Complex Networks
Bull Math Biol. 2021 Aug 19;83(10):98. doi: 10.1007/s11538-021-00929-w.ABSTRACTIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree ...
Source: Bulletin of Mathematical Biology - August 19, 2021 Category: Bioinformatics Authors: Alfonso Ruiz-Herrera Pedro J Torres Source Type: research

The Role of Movement Patterns in Epidemic Models on Complex Networks
Bull Math Biol. 2021 Aug 19;83(10):98. doi: 10.1007/s11538-021-00929-w.ABSTRACTIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree ...
Source: Bulletin of Mathematical Biology - August 19, 2021 Category: Bioinformatics Authors: Alfonso Ruiz-Herrera Pedro J Torres Source Type: research

The Role of Movement Patterns in Epidemic Models on Complex Networks
Bull Math Biol. 2021 Aug 19;83(10):98. doi: 10.1007/s11538-021-00929-w.ABSTRACTIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree ...
Source: Bulletin of Mathematical Biology - August 19, 2021 Category: Bioinformatics Authors: Alfonso Ruiz-Herrera Pedro J Torres Source Type: research

A Data-Driven Mathematical Model of the Heroin and Fentanyl Epidemic in Tennessee
Bull Math Biol. 2021 Aug 17;83(10):97. doi: 10.1007/s11538-021-00925-0.ABSTRACTOpioid addiction represents a major national health issue spanning decades. In recent years, prescription opioid use disorder has increasingly led to heroin and fentanyl use, with subsequent increases in mortality rates due to overdose. In this paper, we present a mechanistic, epidemic model for prescription opioid addiction and illicit heroin or fentanyl addiction which aims to better understand and predict the dynamics between these two stages of opioid use disorder. Our model aims to be both parsimonious and robust: as a system of five differ...
Source: Bulletin of Mathematical Biology - August 17, 2021 Category: Bioinformatics Authors: Tricia Phillips Suzanne Lenhart W Christopher Strickland Source Type: research

A Data-Driven Mathematical Model of the Heroin and Fentanyl Epidemic in Tennessee
Bull Math Biol. 2021 Aug 17;83(10):97. doi: 10.1007/s11538-021-00925-0.ABSTRACTOpioid addiction represents a major national health issue spanning decades. In recent years, prescription opioid use disorder has increasingly led to heroin and fentanyl use, with subsequent increases in mortality rates due to overdose. In this paper, we present a mechanistic, epidemic model for prescription opioid addiction and illicit heroin or fentanyl addiction which aims to better understand and predict the dynamics between these two stages of opioid use disorder. Our model aims to be both parsimonious and robust: as a system of five differ...
Source: Bulletin of Mathematical Biology - August 17, 2021 Category: Bioinformatics Authors: Tricia Phillips Suzanne Lenhart W Christopher Strickland Source Type: research

Modelling Preferential Phagocytosis in Atherosclerosis: Delineating Timescales in Plaque Development
Bull Math Biol. 2021 Aug 14;83(9):96. doi: 10.1007/s11538-021-00926-z.ABSTRACTAtherosclerotic plaques develop over a long time and can cause heart attacks and strokes. There are no simple mathematical models that capture the different timescales of rapid macrophage and lipid dynamics and slow plaque growth. We propose a simple ODE model for lipid dynamics that includes macrophage preference for ingesting apoptotic material and modified low-density lipoproteins (modLDL) over ingesting necrotic material. We use multiple timescale analysis to show that if the necrosis rate is small then the necrotic core in the model plaque m...
Source: Bulletin of Mathematical Biology - August 14, 2021 Category: Bioinformatics Authors: Gigi Lui Mary R Myerscough Source Type: research

Modelling Preferential Phagocytosis in Atherosclerosis: Delineating Timescales in Plaque Development
Bull Math Biol. 2021 Aug 14;83(9):96. doi: 10.1007/s11538-021-00926-z.ABSTRACTAtherosclerotic plaques develop over a long time and can cause heart attacks and strokes. There are no simple mathematical models that capture the different timescales of rapid macrophage and lipid dynamics and slow plaque growth. We propose a simple ODE model for lipid dynamics that includes macrophage preference for ingesting apoptotic material and modified low-density lipoproteins (modLDL) over ingesting necrotic material. We use multiple timescale analysis to show that if the necrosis rate is small then the necrotic core in the model plaque m...
Source: Bulletin of Mathematical Biology - August 14, 2021 Category: Bioinformatics Authors: Gigi Lui Mary R Myerscough Source Type: research

Modelling Preferential Phagocytosis in Atherosclerosis: Delineating Timescales in Plaque Development
Bull Math Biol. 2021 Aug 14;83(9):96. doi: 10.1007/s11538-021-00926-z.ABSTRACTAtherosclerotic plaques develop over a long time and can cause heart attacks and strokes. There are no simple mathematical models that capture the different timescales of rapid macrophage and lipid dynamics and slow plaque growth. We propose a simple ODE model for lipid dynamics that includes macrophage preference for ingesting apoptotic material and modified low-density lipoproteins (modLDL) over ingesting necrotic material. We use multiple timescale analysis to show that if the necrosis rate is small then the necrotic core in the model plaque m...
Source: Bulletin of Mathematical Biology - August 14, 2021 Category: Bioinformatics Authors: Gigi Lui Mary R Myerscough Source Type: research

Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy
Bull Math Biol. 2021 Aug 7;83(9):95. doi: 10.1007/s11538-021-00928-x.ABSTRACTHigh intensity focussed ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many of the associated negative side effects of other more well-established therapies (such as surgery, chemotherapy and radiotherapy) and does not lead to the longer recuperation times necessary in these cases. The increasing interest in HIFU from biomedical researchers and clinicians has led to the development of a number of mathe...
Source: Bulletin of Mathematical Biology - August 8, 2021 Category: Bioinformatics Authors: M A Efendiev J Murley S Sivaloganathan Source Type: research

Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy
Bull Math Biol. 2021 Aug 7;83(9):95. doi: 10.1007/s11538-021-00928-x.ABSTRACTHigh intensity focussed ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many of the associated negative side effects of other more well-established therapies (such as surgery, chemotherapy and radiotherapy) and does not lead to the longer recuperation times necessary in these cases. The increasing interest in HIFU from biomedical researchers and clinicians has led to the development of a number of mathe...
Source: Bulletin of Mathematical Biology - August 8, 2021 Category: Bioinformatics Authors: M A Efendiev J Murley S Sivaloganathan Source Type: research

Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy
Bull Math Biol. 2021 Aug 7;83(9):95. doi: 10.1007/s11538-021-00928-x.ABSTRACTHigh intensity focussed ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many of the associated negative side effects of other more well-established therapies (such as surgery, chemotherapy and radiotherapy) and does not lead to the longer recuperation times necessary in these cases. The increasing interest in HIFU from biomedical researchers and clinicians has led to the development of a number of mathe...
Source: Bulletin of Mathematical Biology - August 8, 2021 Category: Bioinformatics Authors: M A Efendiev J Murley S Sivaloganathan Source Type: research

Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy
Bull Math Biol. 2021 Aug 7;83(9):95. doi: 10.1007/s11538-021-00928-x.ABSTRACTHigh intensity focussed ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many of the associated negative side effects of other more well-established therapies (such as surgery, chemotherapy and radiotherapy) and does not lead to the longer recuperation times necessary in these cases. The increasing interest in HIFU from biomedical researchers and clinicians has led to the development of a number of mathe...
Source: Bulletin of Mathematical Biology - August 8, 2021 Category: Bioinformatics Authors: M A Efendiev J Murley S Sivaloganathan Source Type: research

Dimension Estimate of Uniform Attractor for a Model of High Intensity Focussed Ultrasound-Induced Thermotherapy
Bull Math Biol. 2021 Aug 7;83(9):95. doi: 10.1007/s11538-021-00928-x.ABSTRACTHigh intensity focussed ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many of the associated negative side effects of other more well-established therapies (such as surgery, chemotherapy and radiotherapy) and does not lead to the longer recuperation times necessary in these cases. The increasing interest in HIFU from biomedical researchers and clinicians has led to the development of a number of mathe...
Source: Bulletin of Mathematical Biology - August 8, 2021 Category: Bioinformatics Authors: M A Efendiev J Murley S Sivaloganathan Source Type: research

Does Counting Different Life Stages Impact Estimates for Extinction Probabilities for Tsetse (Glossina spp)?
Bull Math Biol. 2021 Aug 2;83(9):94. doi: 10.1007/s11538-021-00924-1.ABSTRACTAs insect populations decline, due to climate change and other environmental disruptions, there has been an increased interest in understanding extinction probabilities. Generally, the life cycle of insects occurs in well-defined stages: when counting insects, questions naturally arise about which life stage to count. Using tsetse flies (vectors of trypanosomiasis) as a case study, we develop a model that works when different life stages are counted. Previous branching process models for tsetse populations only explicitly represent newly emerged a...
Source: Bulletin of Mathematical Biology - August 2, 2021 Category: Bioinformatics Authors: Elisha B Are John W Hargrove Jonathan Dushoff Source Type: research

Does Counting Different Life Stages Impact Estimates for Extinction Probabilities for Tsetse (Glossina spp)?
Bull Math Biol. 2021 Aug 2;83(9):94. doi: 10.1007/s11538-021-00924-1.ABSTRACTAs insect populations decline, due to climate change and other environmental disruptions, there has been an increased interest in understanding extinction probabilities. Generally, the life cycle of insects occurs in well-defined stages: when counting insects, questions naturally arise about which life stage to count. Using tsetse flies (vectors of trypanosomiasis) as a case study, we develop a model that works when different life stages are counted. Previous branching process models for tsetse populations only explicitly represent newly emerged a...
Source: Bulletin of Mathematical Biology - August 2, 2021 Category: Bioinformatics Authors: Elisha B Are John W Hargrove Jonathan Dushoff Source Type: research

Does Counting Different Life Stages Impact Estimates for Extinction Probabilities for Tsetse (Glossina spp)?
Bull Math Biol. 2021 Aug 2;83(9):94. doi: 10.1007/s11538-021-00924-1.ABSTRACTAs insect populations decline, due to climate change and other environmental disruptions, there has been an increased interest in understanding extinction probabilities. Generally, the life cycle of insects occurs in well-defined stages: when counting insects, questions naturally arise about which life stage to count. Using tsetse flies (vectors of trypanosomiasis) as a case study, we develop a model that works when different life stages are counted. Previous branching process models for tsetse populations only explicitly represent newly emerged a...
Source: Bulletin of Mathematical Biology - August 2, 2021 Category: Bioinformatics Authors: Elisha B Are John W Hargrove Jonathan Dushoff Source Type: research

Does Counting Different Life Stages Impact Estimates for Extinction Probabilities for Tsetse (Glossina spp)?
Bull Math Biol. 2021 Aug 2;83(9):94. doi: 10.1007/s11538-021-00924-1.ABSTRACTAs insect populations decline, due to climate change and other environmental disruptions, there has been an increased interest in understanding extinction probabilities. Generally, the life cycle of insects occurs in well-defined stages: when counting insects, questions naturally arise about which life stage to count. Using tsetse flies (vectors of trypanosomiasis) as a case study, we develop a model that works when different life stages are counted. Previous branching process models for tsetse populations only explicitly represent newly emerged a...
Source: Bulletin of Mathematical Biology - August 2, 2021 Category: Bioinformatics Authors: Elisha B Are John W Hargrove Jonathan Dushoff Source Type: research

Does Counting Different Life Stages Impact Estimates for Extinction Probabilities for Tsetse (Glossina spp)?
Bull Math Biol. 2021 Aug 2;83(9):94. doi: 10.1007/s11538-021-00924-1.ABSTRACTAs insect populations decline, due to climate change and other environmental disruptions, there has been an increased interest in understanding extinction probabilities. Generally, the life cycle of insects occurs in well-defined stages: when counting insects, questions naturally arise about which life stage to count. Using tsetse flies (vectors of trypanosomiasis) as a case study, we develop a model that works when different life stages are counted. Previous branching process models for tsetse populations only explicitly represent newly emerged a...
Source: Bulletin of Mathematical Biology - August 2, 2021 Category: Bioinformatics Authors: Elisha B Are John W Hargrove Jonathan Dushoff Source Type: research

Bayesian-Weighted Triplet and Quartet Methods for Species Tree Inference
Bull Math Biol. 2021 Jul 23;83(9):93. doi: 10.1007/s11538-021-00918-z.ABSTRACTInference of the evolutionary histories of species, commonly represented by a species tree, is complicated by the divergent evolutionary history of different parts of the genome. Different loci on the genome can have different histories from the underlying species tree (and each other) due to processes such as incomplete lineage sorting (ILS), gene duplication and loss, and horizontal gene transfer. The multispecies coalescent is a commonly used model for performing inference on species and gene trees in the presence of ILS. This paper introduces...
Source: Bulletin of Mathematical Biology - July 23, 2021 Category: Bioinformatics Authors: Andrew Richards Laura Kubatko Source Type: research

Bayesian-Weighted Triplet and Quartet Methods for Species Tree Inference
Bull Math Biol. 2021 Jul 23;83(9):93. doi: 10.1007/s11538-021-00918-z.ABSTRACTInference of the evolutionary histories of species, commonly represented by a species tree, is complicated by the divergent evolutionary history of different parts of the genome. Different loci on the genome can have different histories from the underlying species tree (and each other) due to processes such as incomplete lineage sorting (ILS), gene duplication and loss, and horizontal gene transfer. The multispecies coalescent is a commonly used model for performing inference on species and gene trees in the presence of ILS. This paper introduces...
Source: Bulletin of Mathematical Biology - July 23, 2021 Category: Bioinformatics Authors: Andrew Richards Laura Kubatko Source Type: research

Bayesian-Weighted Triplet and Quartet Methods for Species Tree Inference
Bull Math Biol. 2021 Jul 23;83(9):93. doi: 10.1007/s11538-021-00918-z.ABSTRACTInference of the evolutionary histories of species, commonly represented by a species tree, is complicated by the divergent evolutionary history of different parts of the genome. Different loci on the genome can have different histories from the underlying species tree (and each other) due to processes such as incomplete lineage sorting (ILS), gene duplication and loss, and horizontal gene transfer. The multispecies coalescent is a commonly used model for performing inference on species and gene trees in the presence of ILS. This paper introduces...
Source: Bulletin of Mathematical Biology - July 23, 2021 Category: Bioinformatics Authors: Andrew Richards Laura Kubatko Source Type: research

Bayesian-Weighted Triplet and Quartet Methods for Species Tree Inference
Bull Math Biol. 2021 Jul 23;83(9):93. doi: 10.1007/s11538-021-00918-z.ABSTRACTInference of the evolutionary histories of species, commonly represented by a species tree, is complicated by the divergent evolutionary history of different parts of the genome. Different loci on the genome can have different histories from the underlying species tree (and each other) due to processes such as incomplete lineage sorting (ILS), gene duplication and loss, and horizontal gene transfer. The multispecies coalescent is a commonly used model for performing inference on species and gene trees in the presence of ILS. This paper introduces...
Source: Bulletin of Mathematical Biology - July 23, 2021 Category: Bioinformatics Authors: Andrew Richards Laura Kubatko Source Type: research