脑内氧运输线性化模型的反问题

2020 Days on Diffraction (DD) Pub Date : 2020-05-25 DOI:10.1109/DD49902.2020.9274578

A. Kovtanyuk, A. Chebotarev, V. Turova, I. Sidorenko, R. Lampe

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引用次数: 0

摘要

研究了一种具有未知氧源强度的连续稳态脑内氧运输模型，该模型描述了氧通过小动脉和小静脉流入和流出的过程。将相应的边值问题化为具有有限超定的反问题。证明了逆问题的唯一可解性，并给出了求其解的数值方法。

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Inverse problem for a linearized model of oxygen transport in brain

A continuum steady-state model of oxygen transport in brain with unknown intensities of the sources describing the oxygen inflow and its outflow via the arterioles and venules is studied. The corresponding boundary value problem is reduced to an inverse problem with finite overdetermination. The unique solvability of the inverse problem is proved, and a numerical approach to find a solution is proposed.

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$2020 Days on Diffraction (DD)$

2020 Days on Diffraction (DD)

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