In this work, we presented a mathematical model for the dynamics of glucose, insulin and beta-cell mass under the influence of trauma, excitement and/or stress, the model is an improvement on the work by?[1]. We defin...In this work, we presented a mathematical model for the dynamics of glucose, insulin and beta-cell mass under the influence of trauma, excitement and/or stress, the model is an improvement on the work by?[1]. We defined and incorporated a parameter??to represent the effectiveness of epinephrine in suppressing insulin secretion and a parameter?Ge?representing epinephrine induced glucose increase as the factors that affect glucose and insulin homeostasis. The model which consists of a system of three nonlinear ordinary differential equations was used to investigate the effect of epinephrine on glucose, insulin and beta-cell mass dynamics. The result of the study showed that;In the presence of epinephrine, the blood glucose increased and the blood insulin decreased due to suppression by the hormone, despite the fact that there is an increase in beta-cell mass the system remained extremely hyperglycemic. Furthermore, the result of the numerical experiment carried out indicated that frequent epinephrine secretion into the blood induced prolong and extreme hyperglycemia. Frequent epinephrine secretion increases the risk of diabetes in humans. In view of the findings of this study, we recommend that there should be massive and continuous health education, especially for communities living in the areas where the stated agents (trauma, excitement and stress) of epinephrine secretion are common.展开更多
This paper considers a typical mutual interference system of four-dimensionalspecies, its bounded, extermination stability are studied, and their necessary-sufficientcondition are given, and their ecology meaning set ...This paper considers a typical mutual interference system of four-dimensionalspecies, its bounded, extermination stability are studied, and their necessary-sufficientcondition are given, and their ecology meaning set forth.展开更多
基金山东省自然科学基金资助项目"中国转轨时期的货币扩张与通货膨胀研究"(项目编号Y2008H19)以及美国国际教育处(IIE)交流学者研究计划"Monetary ExpansionSystem Change and EconomicStability in China"(项目编号P-3-00006)的阶段性成果之一。
文摘In this work, we presented a mathematical model for the dynamics of glucose, insulin and beta-cell mass under the influence of trauma, excitement and/or stress, the model is an improvement on the work by?[1]. We defined and incorporated a parameter??to represent the effectiveness of epinephrine in suppressing insulin secretion and a parameter?Ge?representing epinephrine induced glucose increase as the factors that affect glucose and insulin homeostasis. The model which consists of a system of three nonlinear ordinary differential equations was used to investigate the effect of epinephrine on glucose, insulin and beta-cell mass dynamics. The result of the study showed that;In the presence of epinephrine, the blood glucose increased and the blood insulin decreased due to suppression by the hormone, despite the fact that there is an increase in beta-cell mass the system remained extremely hyperglycemic. Furthermore, the result of the numerical experiment carried out indicated that frequent epinephrine secretion into the blood induced prolong and extreme hyperglycemia. Frequent epinephrine secretion increases the risk of diabetes in humans. In view of the findings of this study, we recommend that there should be massive and continuous health education, especially for communities living in the areas where the stated agents (trauma, excitement and stress) of epinephrine secretion are common.
文摘This paper considers a typical mutual interference system of four-dimensionalspecies, its bounded, extermination stability are studied, and their necessary-sufficientcondition are given, and their ecology meaning set forth.
