Understanding and Quantifying Network Robustness to Stochastic Inputs
Bull Math Biol. 2024 Apr 12;86(5):55. doi: 10.1007/s11538-024-01283-3.ABSTRACTA variety of biomedical systems are modeled by networks of deterministic differential equations with stochastic inputs. In some cases, the network output is remarkably constant despite a randomly fluctuating input. In the context of biochemistry and cell biology, chemical reaction networks and multistage processes with this property are called robust. Similarly, the notion of a forgiving drug in pharmacology is a medication that maintains therapeutic effect despite lapses in patient adherence to the prescribed regimen. What makes a network robust...
Source: Bulletin of Mathematical Biology - April 12, 2024 Category: Bioinformatics Authors: Hwai-Ray Tung Sean D Lawley Source Type: research
Mathematical Modelling of Parasite Dynamics: A Stochastic Simulation-Based Approach and Parameter Estimation via Modified Sequential-Type Approximate Bayesian Computation
Bull Math Biol. 2024 Apr 10;86(5):54. doi: 10.1007/s11538-024-01281-5.ABSTRACTThe development of mathematical models for studying newly emerging and re-emerging infectious diseases has gained momentum due to global events. The gyrodactylid-fish system, like many host-parasite systems, serves as a valuable resource for ecological, evolutionary, and epidemiological investigations owing to its ease of experimental manipulation and long-term monitoring. Although this system has an existing individual-based model, it falls short in capturing information about species-specific microhabitat preferences and other biological detail...
Source: Bulletin of Mathematical Biology - April 10, 2024 Category: Bioinformatics Authors: Clement Twumasi Joanne Cable Andrey Pepelyshev Source Type: research
Mathematical Modelling of Parasite Dynamics: A Stochastic Simulation-Based Approach and Parameter Estimation via Modified Sequential-Type Approximate Bayesian Computation
Bull Math Biol. 2024 Apr 10;86(5):54. doi: 10.1007/s11538-024-01281-5.ABSTRACTThe development of mathematical models for studying newly emerging and re-emerging infectious diseases has gained momentum due to global events. The gyrodactylid-fish system, like many host-parasite systems, serves as a valuable resource for ecological, evolutionary, and epidemiological investigations owing to its ease of experimental manipulation and long-term monitoring. Although this system has an existing individual-based model, it falls short in capturing information about species-specific microhabitat preferences and other biological detail...
Source: Bulletin of Mathematical Biology - April 10, 2024 Category: Bioinformatics Authors: Clement Twumasi Joanne Cable Andrey Pepelyshev Source Type: research
Advice to a Young Mathematical Biologist
Bull Math Biol. 2024 Apr 9;86(5):52. doi: 10.1007/s11538-024-01269-1.ABSTRACTThis paper offers advice to early-mid career researchers in Mathematical Biology from ten past and current Presidents of the Society for Mathematical Biology. The topics covered include deciding if a career in academia is right for you; finding and working with a mentor; building collaborations and working with those from other disciplines; formulating a research question; writing a paper; reviewing papers; networking; writing fellowship or grant proposals; applying for faculty positions; and preparing and giving lectures. While written with mathe...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Paul A Roberts Source Type: research
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Bull Math Biol. 2024 Apr 9;86(5):53. doi: 10.1007/s11538-024-01284-2.ABSTRACTAnalyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease progression and control. Here we developed mathematical models of HBV infection which either lack terms for adaptive immune responses, or assume adaptive immune responses in the form of cytolytic immune killing, non-cytolytic immune cure, or non-cytolytic-mediated block of viral production. We validated the model that does not include immune responses against temporal serum hepatitis B DNA (sHBV) and temporal s...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Stanca M Ciupe Harel Dahari Alexander Ploss Source Type: research
Advice to a Young Mathematical Biologist
Bull Math Biol. 2024 Apr 9;86(5):52. doi: 10.1007/s11538-024-01269-1.ABSTRACTThis paper offers advice to early-mid career researchers in Mathematical Biology from ten past and current Presidents of the Society for Mathematical Biology. The topics covered include deciding if a career in academia is right for you; finding and working with a mentor; building collaborations and working with those from other disciplines; formulating a research question; writing a paper; reviewing papers; networking; writing fellowship or grant proposals; applying for faculty positions; and preparing and giving lectures. While written with mathe...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Paul A Roberts Source Type: research
Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Bull Math Biol. 2024 Apr 9;86(5):53. doi: 10.1007/s11538-024-01284-2.ABSTRACTAnalyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease progression and control. Here we developed mathematical models of HBV infection which either lack terms for adaptive immune responses, or assume adaptive immune responses in the form of cytolytic immune killing, non-cytolytic immune cure, or non-cytolytic-mediated block of viral production. We validated the model that does not include immune responses against temporal serum hepatitis B DNA (sHBV) and temporal s...
Source: Bulletin of Mathematical Biology - April 9, 2024 Category: Bioinformatics Authors: Stanca M Ciupe Harel Dahari Alexander Ploss Source Type: research
Dynamics of Information Flow and Task Allocation of Social Insect Colonies: Impacts of Spatial Interactions and Task Switching
Bull Math Biol. 2024 Apr 6;86(5):50. doi: 10.1007/s11538-024-01280-6.ABSTRACTModels of social interaction dynamics have been powerful tools for understanding the efficiency of information spread and the robustness of task allocation in social insect colonies. How workers spatially distribute within the colony, or spatial heterogeneity degree (SHD), plays a vital role in contact dynamics, influencing information spread and task allocation. We used agent-based models to explore factors affecting spatial heterogeneity and information flow, including the number of task groups, variation in spatial arrangements, and levels of t...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Jun Chen Xiaohui Guo Daniel Charbonneau Asma Azizi Jennifer Fewell Yun Kang Source Type: research
Optimal Rotation Age in Fast Growing Plantations: A Dynamical Optimization Problem
Bull Math Biol. 2024 Apr 6;86(5):51. doi: 10.1007/s11538-024-01262-8.ABSTRACTForest plantations are economically and environmentally relevant, as they play a key role in timber production and carbon capture. It is expected that the future climate change scenario affects forest growth and modify the rotation age for timber production. However, mathematical models on the effect of climate change on the rotation age for timber production remain still limited. We aim to determine the optimal rotation age that maximizes the net economic benefit of timber volume in a negative scenario from the climatic point of view. For this pu...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Alex Altamirano-Fern ández Alejandro Rojas-Palma Sergio Espinoza-Meza Source Type: research
Dynamics of Information Flow and Task Allocation of Social Insect Colonies: Impacts of Spatial Interactions and Task Switching
Bull Math Biol. 2024 Apr 6;86(5):50. doi: 10.1007/s11538-024-01280-6.ABSTRACTModels of social interaction dynamics have been powerful tools for understanding the efficiency of information spread and the robustness of task allocation in social insect colonies. How workers spatially distribute within the colony, or spatial heterogeneity degree (SHD), plays a vital role in contact dynamics, influencing information spread and task allocation. We used agent-based models to explore factors affecting spatial heterogeneity and information flow, including the number of task groups, variation in spatial arrangements, and levels of t...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Jun Chen Xiaohui Guo Daniel Charbonneau Asma Azizi Jennifer Fewell Yun Kang Source Type: research
Optimal Rotation Age in Fast Growing Plantations: A Dynamical Optimization Problem
Bull Math Biol. 2024 Apr 6;86(5):51. doi: 10.1007/s11538-024-01262-8.ABSTRACTForest plantations are economically and environmentally relevant, as they play a key role in timber production and carbon capture. It is expected that the future climate change scenario affects forest growth and modify the rotation age for timber production. However, mathematical models on the effect of climate change on the rotation age for timber production remain still limited. We aim to determine the optimal rotation age that maximizes the net economic benefit of timber volume in a negative scenario from the climatic point of view. For this pu...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Alex Altamirano-Fern ández Alejandro Rojas-Palma Sergio Espinoza-Meza Source Type: research
Dynamics of Information Flow and Task Allocation of Social Insect Colonies: Impacts of Spatial Interactions and Task Switching
Bull Math Biol. 2024 Apr 6;86(5):50. doi: 10.1007/s11538-024-01280-6.ABSTRACTModels of social interaction dynamics have been powerful tools for understanding the efficiency of information spread and the robustness of task allocation in social insect colonies. How workers spatially distribute within the colony, or spatial heterogeneity degree (SHD), plays a vital role in contact dynamics, influencing information spread and task allocation. We used agent-based models to explore factors affecting spatial heterogeneity and information flow, including the number of task groups, variation in spatial arrangements, and levels of t...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Jun Chen Xiaohui Guo Daniel Charbonneau Asma Azizi Jennifer Fewell Yun Kang Source Type: research
Optimal Rotation Age in Fast Growing Plantations: A Dynamical Optimization Problem
Bull Math Biol. 2024 Apr 6;86(5):51. doi: 10.1007/s11538-024-01262-8.ABSTRACTForest plantations are economically and environmentally relevant, as they play a key role in timber production and carbon capture. It is expected that the future climate change scenario affects forest growth and modify the rotation age for timber production. However, mathematical models on the effect of climate change on the rotation age for timber production remain still limited. We aim to determine the optimal rotation age that maximizes the net economic benefit of timber volume in a negative scenario from the climatic point of view. For this pu...
Source: Bulletin of Mathematical Biology - April 6, 2024 Category: Bioinformatics Authors: Alex Altamirano-Fern ández Alejandro Rojas-Palma Sergio Espinoza-Meza Source Type: research
Artificial Neural Network Prediction of COVID-19 Daily Infection Count
This study addresses COVID-19 testing as a nonlinear sampling problem, aiming to uncover the dependence of the true infection count in the population on COVID-19 testing metrics such as testing volume and positivity rates. Employing an artificial neural network, we explore the relationship among daily confirmed case counts, testing data, population statistics, and the actual daily case count. The trained artificial neural network undergoes testing in in-sample, out-of-sample, and several hypothetical scenarios. A substantial focus of this paper lies in the estimation of the daily true case count, which serves as the output...
Source: Bulletin of Mathematical Biology - April 1, 2024 Category: Bioinformatics Authors: Ning Jiang Charles Kolozsvary Yao Li Source Type: research
Artificial Neural Network Prediction of COVID-19 Daily Infection Count
This study addresses COVID-19 testing as a nonlinear sampling problem, aiming to uncover the dependence of the true infection count in the population on COVID-19 testing metrics such as testing volume and positivity rates. Employing an artificial neural network, we explore the relationship among daily confirmed case counts, testing data, population statistics, and the actual daily case count. The trained artificial neural network undergoes testing in in-sample, out-of-sample, and several hypothetical scenarios. A substantial focus of this paper lies in the estimation of the daily true case count, which serves as the output...
Source: Bulletin of Mathematical Biology - April 1, 2024 Category: Bioinformatics Authors: Ning Jiang Charles Kolozsvary Yao Li Source Type: research
