ELECTRICAL AND CHEMICAL OSCILLATIONS IN COUPLED CELL SYSTEMS

耦合电池系统中的电振荡和化学振荡

• 批准号: 6161885
• 负责人: A SHERMAN
• 金额: --
• 依托单位: NATIONAL INSTITUTE OF DIABETES AND DIGESTIVE AND KIDNEY DISEASES
• 依托单位国家: 美国
• 资助国家: 美国
• 起止时间: 至
• 项目状态: 未结题
• 来源: https://reporter.nih.gov/project-details/6161885
• 关键词: biophysics; cell cell interaction; electrophysiology; insulin; intracellular; mathematical model; membrane activity; membrane channels; membrane model; membrane potentials; model design /development; neurons; pancreatic islet function; pancreatic islets; secretion

We use mathematical models to study the mechanisms of oscillatory electrical activity arising from ion channels in cell membranes and modulated by intracellular chemical processes. We are interested in both the behavior of single cells and the ways in which cells communicate and modify each other's behavior. Our main application has been to the biophysical basis of insulin in pancreatic beta-cells. We have examined bursting oscillations in membrane potential and the role of electrical coupling between cells in the islet of Langerhans. Long term goals are to understand how the membrane dynamics interact with intracellular events to regulate sectretion and to generalize to other secretory cells and neurons. Our primary tool is the numerical solution of ordinary and partial differential equations. We use analytical, geometrical, graphical, and numerical techniques from the mathematical theory of dynamical systems to help construct and interpret the models. Perturbation techniques are used to get analytical results in special cases. We study both detailed biophysical models and simplified models which are more amenable to analysis. Such an approach aids the isolation of the essential or minimal mechanisms underlying phenomena, the search for general principles, and the application of concepts and analogies from other fields. We see a role for our group as intermediaries between the mathematical and biological disciplines. This includes disseminating the insights of mathematical work to biologists in accessible language and alerting mathematicians and other theoreticians to new and challenging problems arising from biological issues.

我们使用数学模型来研究振荡的机制， 细胞膜中离子通道产生的电活动， 由细胞内化学过程调节。 我们有兴趣 单细胞的行为和细胞 沟通并改变彼此的行为。 我们的主要应用程序有 胰岛素在胰腺β细胞中的生物物理基础。 我们 研究了膜电位的爆发振荡， 胰岛细胞之间的电耦合。 长 学期目标是了解膜动力学如何与 细胞内事件来调节分泌，并推广到其他 分泌细胞和神经元。 我们的主要工具是 解常微分方程和偏微分方程。 我们使用 分析，几何，图形和数值技术， 动力系统的数学理论，以帮助构建和解释 模特们 采用摄动技术得到了解析结果 在特殊情况下。 我们研究了详细的生物物理模型， 简化的模型更易于分析。 这种做法 有助于隔离基本或最小的机制， 现象、一般原理的探索以及 其他领域的概念和类比。 我们认为我们的团队 作为数学和生物学科之间的中介。 这包括传播数学工作的见解， 生物学家在可访问的语言和提醒数学家和其他 理论家对新的和具有挑战性的问题所产生的生物 问题.