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An iterative damped least-squares algorithm for simultaneously monitoring the development of hemorrhagic and secondary ischemic lesions in brain injuries

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Abstract

Electrical impedance tomography (EIT) is a non-invasive and real-time imaging method that has the potential to be used for monitoring intracerebral hemorrhage (ICH). Recent studies have proposed that ischemia secondary to ICH occurs simultaneously in the brain. Real-time monitoring of the development of hemorrhage and risk of secondary ischemia is crucial for clinical intervention. However, few studies have explored the performance of EIT monitoring in cases where hemorrhage and secondary ischemia exist. When these lesions get close to each other, or their conductivity and volume changes differ greatly, it becomes challenging for dynamic EIT algorithms to simultaneously reconstruct subtle injuries. To address this, an iterative damped least-squares (IDLS) algorithm is proposed in this study. The quality of the IDLS algorithm was assessed using blur radius and temporal response during computer simulation and a phantom 3D head-shaped model where bidirectional disturbance targets were simulated. The results showed that the IDLS algorithm enhanced contrast and concurrently reconstructed bidirectional disturbance targets in images. Moreover, it showed superior performance in decreasing the blur radius and was time cost-effective. With further improvement, the IDLS algorithm has the potential to be used for monitoring the development of hemorrhage and risk of ischemia secondary to ICH.

(a) and (b) are simulation images of bidirectional disturbance targets with different change ratios of volume (Vr) and conductivity (σr) based on the damped least-squares (DLS) algorithm and iterative damped least-squared (IDLS) algorithm, respectively. (c) shows the performance metrics of blur radius and temporal response with different volume ratio (corresponding to Vr). (d) shows the performance metrics of blur radius and temporal response with different conductivity change percentage (corresponding to σr).

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Funding

This study was funded by the National Nature Science Foundation of China (Grant 51837011, 31771073, 61771475).

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  1. Xuechao Liu and Haoting Li contributed equally to this work.

Authors and Affiliations

  1. Department of Biomedical Engineering, Air Force Military Medical University, Xi’an, China

    Xuechao Liu, Haoting Li, Hang Ma, Canhua Xu, Bin Yang, Meng Dai, Xiuzhen Dong & Feng Fu

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  1. Xuechao Liu
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Xuechao Liu and Haoting Li designed the experiments; Xuechao Liu carried out the experiments, analyzed data, and wrote the paper; Feng Fu and Bin Yang contributed the analysis tools.

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Correspondence to Feng Fu.

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Liu, X., Li, H., Ma, H. et al. An iterative damped least-squares algorithm for simultaneously monitoring the development of hemorrhagic and secondary ischemic lesions in brain injuries. Med Biol Eng Comput 57, 1917–1931 (2019). https://doi.org/10.1007/s11517-019-02003-z

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