Huard B, Bridgewater A, Angelova M
Department of Mathematics, Physics and Electrical Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK.
Department of Mathematics, Physics and Electrical Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK.
J Theor Biol. 2017 Apr 7;418:66-76. doi: 10.1016/j.jtbi.2017.01.039. Epub 2017 Jan 24.
We study the effect of diabetic deficiencies on the production of an oscillatory ultradian regime using a deterministic nonlinear model which incorporates two physiological delays. It is shown that insulin resistance impairs the production of oscillations by dampening the ultradian cycles. Four strategies for restoring healthy regulation are explored. Through the introduction of an instantaneous glucose-dependent insulin response, explicit conditions for the existence of periodic solutions in the linearised model are formulated, significantly reducing the complexity of identifying an oscillatory regime. The model is thus shown to be suitable for representing the effect of diabetes on the oscillatory regulation and for investigating pathways to reinstating a physiological healthy regime.
我们使用一个包含两个生理延迟的确定性非线性模型，研究糖尿病缺陷对振荡性超日节律产生的影响。结果表明，胰岛素抵抗通过抑制超日周期来损害振荡的产生。探索了四种恢复健康调节的策略。通过引入瞬时葡萄糖依赖性胰岛素反应，在线性化模型中制定了周期解存在的明确条件，显著降低了识别振荡状态的复杂性。因此，该模型被证明适用于表示糖尿病对振荡调节的影响，并用于研究恢复生理健康状态的途径。
