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A non-invasive method to assess cerebral perfusion pressure in geriatric patients with suspected cerebrovascular
1Department of Neurology, Yong Chuan Hospital, Chongqing Medical University, Chongqing, People's Republic of China; Institute of Neuroscience, Chongqing Medical University, Chongqing, People's Republic of China; Chongqing Key Laboratory of Neurobiology, Chongqing Medical University, Chongqing, People's Republic of China.
Insights
A novel mathematical model using Fourier functions can estimate cerebral perfusion pressure (CPP) in older adults with cerebrovascular disease. This model aids in understanding cerebral hemodynamics when direct CPP measurement is not feasible.
Area of Science:
- Neurology
- Biomedical Engineering
- Geriatrics
Background:
- Cerebral perfusion pressure (CPP) significantly impacts cerebrovascular hemodynamics.
- Direct CPP measurement is often clinically impractical.
- Geriatric patients with suspected cerebrovascular disease require accessible methods for CPP assessment.
Purpose of the Study:
- To develop a representative mathematical model for estimating CPP in geriatric patients.
- To establish a non-invasive method for assessing cerebrovascular hemodynamics in this population.
Main Methods:
- Invasive CPP monitoring was performed on 100 geriatric patients (60-80 years) with suspected cerebrovascular disease.
- Eighth-order Fourier functions were used to model CPP curves using MATLAB 7.0.
- Statistical analysis was conducted using SPSS 20.0.
Main Results:
- A standardized eighth-order Fourier function accurately represented CPP curves across patients.
- The model allows for the estimation of CPP curves by adjusting for heart rate, intracranial pressure (ICP), and blood pressure.
- Individual CPP functions showed significant variations in coefficients, necessitating standardization.
Conclusions:
- An eighth-order Fourier function effectively models CPP in geriatric patients with cerebrovascular disease.
- The model can be constructed using readily available clinical data: brachial artery blood pressure (BABP), ICP, and heart rate.
- This validated model offers a valuable tool for future research in cerebral hemodynamics.
Background:
Cerebral perfusion pressure (CPP) can adversely impact cerebrovascular hemodynamics but cannot be practically measured in most clinical settings. Here, we aimed to establish a representative mathematical model for CPP in geriatric patients with suspected cerebrovascular disease.
Methods:
A total of 100 patients (54 males and 46 females between 60-80 years of age) with suspected cerebrovascular disease and no obvious cerebrovascular stenosis were selected for invasive CPP monitoring via catheterization of the middle segment of the common carotid arteries and openings of the vertebral arteries bilaterally. Curves were function-fitted using MATLAB 7.0, and data was statistically processed by SPSS 20.0.
Results:
MATLAB 7.0 constructed eighth-order Fourier functions that fit all recorded CPP curves. Since the coefficients of the 100 functions were significantly different, all functions were standardized to derive one representative function. By manipulating the heart rate and maximum/minimum CPP of the representative function, estimated CPP curves can be constructed for patients with differing heart rates, intracranial pressures (ICPs) and blood pressures.
Conclusions:
CPP can be well-modeled through an eighth-order Fourier function that can be constructed from a patient's brachial artery blood pressure (BABP), ICP and heart rate. This function is representative of geriatric patients with cerebrovascular disease and can be used in the future study of cerebral hemodynamics.

