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大鼠外周神经中随时间变化的氧输送的数学建模

Mathematical modeling of time-dependent oxygen transport in rat peripheral nerve.

作者信息

Lagerlund T D, Low P A

机构信息

Department of Neurology, Mayo Clinic, Rochester, MN 55905.

出版信息

Comput Biol Med. 1993 Jan;23(1):29-47. doi: 10.1016/0010-4825(93)90106-b.

DOI:10.1016/0010-4825(93)90106-b
PMID:8467637
Abstract

We modeled time-dependent transport of oxygen in peripheral nerve. Simulation began with a steady-state oxygen tension field determined by capillary diameter and length, intercapillary distance, blood-flow velocity, oxygen consumption rate, and arterial oxygen tension. One of these parameters was assumed to change rapidly to new constant value, producing time-varying oxygen tensions. A monoexponential or biexponential function characterized the oxygen tension time variation. Rate constants of the slower exponential ranged from 0.017 sec-1 to 0.46 sec-1, implying minimal time lag in response of peripheral nerve oxygen tensions to alterations in blood flow, arterial blood oxygenation, or metabolic demands.

摘要

我们模拟了外周神经中氧的时间依赖性传输。模拟从由毛细血管直径和长度、毛细血管间距离、血流速度、氧消耗率和动脉氧张力决定的稳态氧张力场开始。假设这些参数之一迅速变化至新的恒定值,从而产生随时间变化的氧张力。氧张力随时间的变化以单指数或双指数函数表征。较慢指数的速率常数范围为0.017秒⁻¹至0.46秒⁻¹,这意味着外周神经氧张力对血流、动脉血氧合或代谢需求变化的响应中时间滞后最小。

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