Periodic insulin stimulation of Akt: Dynamic steady states and robustness
Math Biosci. 2023 Dec 4:109113. doi: 10.1016/j.mbs.2023.109113. Online ahead of print.ABSTRACTThe periodic secretion of insulin is a salient feature of the blood glucose control system in vivo. Insulin levels in the blood exhibit oscillations on multiple time scales-rapid, ultradian, and circadian-and the improved metabolic regulation resulting from pulsatile insulin release has been well established. Although numerous mathematical models investigating the causal mechanisms of insulin oscillations have appeared in the literature, to date there has been comparatively little attention given to the influence of periodic insul...
Source: Mathematical Biosciences - December 6, 2023 Category: Statistics Authors: Catheryn W Gray Adelle C F Coster Source Type: research

Periodic insulin stimulation of Akt: Dynamic steady states and robustness
Math Biosci. 2023 Dec 4:109113. doi: 10.1016/j.mbs.2023.109113. Online ahead of print.ABSTRACTThe periodic secretion of insulin is a salient feature of the blood glucose control system in vivo. Insulin levels in the blood exhibit oscillations on multiple time scales-rapid, ultradian, and circadian-and the improved metabolic regulation resulting from pulsatile insulin release has been well established. Although numerous mathematical models investigating the causal mechanisms of insulin oscillations have appeared in the literature, to date there has been comparatively little attention given to the influence of periodic insul...
Source: Mathematical Biosciences - December 6, 2023 Category: Statistics Authors: Catheryn W Gray Adelle C F Coster Source Type: research

A stochastic differential equation model for predator-avoidance fish schooling
Math Biosci. 2023 Dec 1;367:109112. doi: 10.1016/j.mbs.2023.109112. Online ahead of print.ABSTRACTThis paper presents a mathematical model based on stochastic differential equations (SDEs) to depict the dynamics of a predator-prey system in an aquatic environment characterized by schooling behavior among the prey. The model employs a particle-like approach, incorporating attractive and repulsive forces, akin to phenomena observed in molecular physics, to capture the interactions among the constituent units. Two hunting tactics of the predator, center-attacking and nearest-attacking strategies, are integrated into the model...
Source: Mathematical Biosciences - December 3, 2023 Category: Statistics Authors: Aditya Dewanto Hartono Linh Thi Hoai Nguyen T ôn Việt Tạ Source Type: research

A stochastic differential equation model for predator-avoidance fish schooling
Math Biosci. 2023 Dec 1:109112. doi: 10.1016/j.mbs.2023.109112. Online ahead of print.ABSTRACTThis paper presents a mathematical model based on stochastic differential equations (SDEs) to depict the dynamics of a predator-prey system in an aquatic environment characterized by schooling behavior among the prey. The model employs a particle-like approach, incorporating attractive and repulsive forces, akin to phenomena observed in molecular physics, to capture the interactions among the constituent units. Two hunting tactics of the predator, center-attacking and nearest-attacking strategies, are integrated into the model. Nu...
Source: Mathematical Biosciences - December 3, 2023 Category: Statistics Authors: Aditya Dewanto Hartono Linh Thi Hoai Nguyen T ôn Việt Tạ Source Type: research

A stochastic differential equation model for predator-avoidance fish schooling
Math Biosci. 2023 Dec 1:109112. doi: 10.1016/j.mbs.2023.109112. Online ahead of print.ABSTRACTThis paper presents a mathematical model based on stochastic differential equations (SDEs) to depict the dynamics of a predator-prey system in an aquatic environment characterized by schooling behavior among the prey. The model employs a particle-like approach, incorporating attractive and repulsive forces, akin to phenomena observed in molecular physics, to capture the interactions among the constituent units. Two hunting tactics of the predator, center-attacking and nearest-attacking strategies, are integrated into the model. Nu...
Source: Mathematical Biosciences - December 3, 2023 Category: Statistics Authors: Aditya Dewanto Hartono Linh Thi Hoai Nguyen T ôn Việt Tạ Source Type: research

A stochastic differential equation model for predator-avoidance fish schooling
Math Biosci. 2023 Dec 1:109112. doi: 10.1016/j.mbs.2023.109112. Online ahead of print.ABSTRACTThis paper presents a mathematical model based on stochastic differential equations (SDEs) to depict the dynamics of a predator-prey system in an aquatic environment characterized by schooling behavior among the prey. The model employs a particle-like approach, incorporating attractive and repulsive forces, akin to phenomena observed in molecular physics, to capture the interactions among the constituent units. Two hunting tactics of the predator, center-attacking and nearest-attacking strategies, are integrated into the model. Nu...
Source: Mathematical Biosciences - December 3, 2023 Category: Statistics Authors: Aditya Dewanto Hartono Linh Thi Hoai Nguyen T ôn Việt Tạ Source Type: research

A local polynomial moment approximation for compartmentalised biochemical systems
Math Biosci. 2023 Nov 28:109110. doi: 10.1016/j.mbs.2023.109110. Online ahead of print.ABSTRACTCompartmentalised biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyse mathematically - especially in the presence of stochasticity. We have recently proposed an effective moment equation approach to study the statistical properties of compartmentalised biochemical systems. So far, however, this approach is limited to polynomial rate laws and moreover, it relies on suitable...
Source: Mathematical Biosciences - November 30, 2023 Category: Statistics Authors: Tommaso Bianucci Christoph Zechner Source Type: research

A local polynomial moment approximation for compartmentalised biochemical systems
Math Biosci. 2023 Nov 28:109110. doi: 10.1016/j.mbs.2023.109110. Online ahead of print.ABSTRACTCompartmentalised biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyse mathematically - especially in the presence of stochasticity. We have recently proposed an effective moment equation approach to study the statistical properties of compartmentalised biochemical systems. So far, however, this approach is limited to polynomial rate laws and moreover, it relies on suitable...
Source: Mathematical Biosciences - November 30, 2023 Category: Statistics Authors: Tommaso Bianucci Christoph Zechner Source Type: research

A local polynomial moment approximation for compartmentalised biochemical systems
Math Biosci. 2023 Nov 28:109110. doi: 10.1016/j.mbs.2023.109110. Online ahead of print.ABSTRACTCompartmentalised biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyse mathematically - especially in the presence of stochasticity. We have recently proposed an effective moment equation approach to study the statistical properties of compartmentalised biochemical systems. So far, however, this approach is limited to polynomial rate laws and moreover, it relies on suitable...
Source: Mathematical Biosciences - November 30, 2023 Category: Statistics Authors: Tommaso Bianucci Christoph Zechner Source Type: research

Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis
Math Biosci. 2023 Nov 21:109091. doi: 10.1016/j.mbs.2023.109091. Online ahead of print.ABSTRACTCancer occurs as a consequence of multiple somatic mutations that lead to uncontrolled cell growth. Mutual exclusivity and co-occurrence of mutations imply-but do not prove-that mutations exert synergistic or antagonistic epistatic effects on oncogenesis. Knowledge of these interactions, and the consequent trajectories of mutation and selection that lead to cancer has been a longstanding goal within the cancer research community. Recent research has revealed mutation rates and scaled selection coefficients for specific recurrent ...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jorge A Alfaro-Murillo Jeffrey P Townsend Source Type: research

Overcoming the impossibility of age-balanced harvest
Math Biosci. 2023 Nov 21:109111. doi: 10.1016/j.mbs.2023.109111. Online ahead of print.ABSTRACTIn many countries, sustainability targets for managed fisheries are often expressed in terms of a fixed percentage of the carrying capacity. Despite the appeal of such a simple quantitative target, an unintended consequence may be a significant tilting of the proportions of biomass across different ages, from what they would have been under harvest-free conditions. Within the framework of a widely used age-structured model, we propose a novel quantitative definition of "age-balanced harvest" that considers the age-class compositi...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jerzy A Filar Matthew H Holden Manuela Mendiolar Sabrina H Streipert Source Type: research

Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis
Math Biosci. 2023 Nov 21:109091. doi: 10.1016/j.mbs.2023.109091. Online ahead of print.ABSTRACTCancer occurs as a consequence of multiple somatic mutations that lead to uncontrolled cell growth. Mutual exclusivity and co-occurrence of mutations imply-but do not prove-that mutations exert synergistic or antagonistic epistatic effects on oncogenesis. Knowledge of these interactions, and the consequent trajectories of mutation and selection that lead to cancer has been a longstanding goal within the cancer research community. Recent research has revealed mutation rates and scaled selection coefficients for specific recurrent ...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jorge A Alfaro-Murillo Jeffrey P Townsend Source Type: research

Overcoming the impossibility of age-balanced harvest
Math Biosci. 2023 Nov 21:109111. doi: 10.1016/j.mbs.2023.109111. Online ahead of print.ABSTRACTIn many countries, sustainability targets for managed fisheries are often expressed in terms of a fixed percentage of the carrying capacity. Despite the appeal of such a simple quantitative target, an unintended consequence may be a significant tilting of the proportions of biomass across different ages, from what they would have been under harvest-free conditions. Within the framework of a widely used age-structured model, we propose a novel quantitative definition of "age-balanced harvest" that considers the age-class compositi...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jerzy A Filar Matthew H Holden Manuela Mendiolar Sabrina H Streipert Source Type: research

Pairwise and higher-order epistatic effects among somatic cancer mutations across oncogenesis
Math Biosci. 2023 Nov 21:109091. doi: 10.1016/j.mbs.2023.109091. Online ahead of print.ABSTRACTCancer occurs as a consequence of multiple somatic mutations that lead to uncontrolled cell growth. Mutual exclusivity and co-occurrence of mutations imply-but do not prove-that mutations exert synergistic or antagonistic epistatic effects on oncogenesis. Knowledge of these interactions, and the consequent trajectories of mutation and selection that lead to cancer has been a longstanding goal within the cancer research community. Recent research has revealed mutation rates and scaled selection coefficients for specific recurrent ...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jorge A Alfaro-Murillo Jeffrey P Townsend Source Type: research

Overcoming the impossibility of age-balanced harvest
Math Biosci. 2023 Nov 21:109111. doi: 10.1016/j.mbs.2023.109111. Online ahead of print.ABSTRACTIn many countries, sustainability targets for managed fisheries are often expressed in terms of a fixed percentage of the carrying capacity. Despite the appeal of such a simple quantitative target, an unintended consequence may be a significant tilting of the proportions of biomass across different ages, from what they would have been under harvest-free conditions. Within the framework of a widely used age-structured model, we propose a novel quantitative definition of "age-balanced harvest" that considers the age-class compositi...
Source: Mathematical Biosciences - November 23, 2023 Category: Statistics Authors: Jerzy A Filar Matthew H Holden Manuela Mendiolar Sabrina H Streipert Source Type: research