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1.
BMC Musculoskelet Disord ; 23(1): 728, 2022 Jul 30.
Artículo en Inglés | MEDLINE | ID: mdl-35906546

RESUMEN

BACKGROUND: To better understand biomechanical factors that affect intervertebral alignment throughout active therapeutic exercise, it is necessary to determine spinal kinematics when subjects perform spinal exercises. This study aims to investigate the outcomes of active cervical therapeutic exercise on intervertebral foramen changes in neck pain patients with disc herniation. METHODS: Thirty diagnosed C4/5 and/or C5/6 disc-herniated patients receiving an 8-week cervical therapeutic exercise program were followed up with videofluoroscopic images. The dynamic changes in the foramen were computed at different timepoints, including the neutral position, end-range positions in cervical flexion-extension, protrusion-retraction, and lateral flexion movements. RESULTS: The results showed that the active cervical flexion, retraction, and lateral flexion away from the affected side movements increased the area of the patients' intervertebral foramen; while the active extension, protrusion, and lateral flexion toward the affected side reduced the areas of intervertebral foramen before treatment. After the treatment, the active cervical flexion significantly increased the C2/3, C3/4, and C6/7 foramen area by 5.02-8.67% (p = 0.001 ~ 0.029), and the extension exercise significantly reduced the C2/3 and C4/5 area by 5.12-9.18% (p = 0.001 ~ 0.006) compared to the baseline. Active retraction movement significantly increased the foramen area from C2/3 to C6/7 by 3.82-8.66% (p = 0.002 ~ 0.036 with exception of C5/6). Active lateral flexion away from the affected side significantly increased the foramen by 3.71-6.78% (p = 0.007 ~ 0.046 with exception of C6/7). CONCLUSIONS: The 8-week therapeutic exercises including repeated cervical retraction, extension, and lateral flexion movements to the lesion led to significant changes and improvements in intervertebral foramen areas of the patients with disc herniation. TRIAL REGISTRATION: ISRCTN61539024.


Asunto(s)
Desplazamiento del Disco Intervertebral , Disco Intervertebral , Fenómenos Biomecánicos , Vértebras Cervicales/diagnóstico por imagen , Terapia por Ejercicio , Humanos , Disco Intervertebral/diagnóstico por imagen , Desplazamiento del Disco Intervertebral/complicaciones , Desplazamiento del Disco Intervertebral/diagnóstico por imagen , Desplazamiento del Disco Intervertebral/terapia , Cuello , Dolor de Cuello/diagnóstico por imagen , Dolor de Cuello/etiología , Dolor de Cuello/terapia , Rango del Movimiento Articular
2.
Front Bioeng Biotechnol ; 12: 1353418, 2024.
Artículo en Inglés | MEDLINE | ID: mdl-38712331

RESUMEN

Patients with scars face a grave threat to their mental and physical health. Negative pressure has been used for scar therapy in medical care and provides a microenvironment conducive to scar healing while stimulating cell regeneration. Negative pressure may disrupt scar tissue regeneration when the pressure is too high or too low, so finding a suitable negative pressure is important. We hypothesized that different negative pressure magnitudes would affect scar tissue properties differently. This research aimed to provide practical recommendations for scar therapy. This study used three negative pressures (-105 mmHg, -125 mmHg, and -145 mmHg) to compare scar material properties. We measured scar tissue thickness and viscoelasticity with a motor-driven ultrasound indentation system. According to the results of this study, scar thickness is most effectively reduced at a negative pressure of -105 mmHg. In comparison, scar viscoelasticity continuously increases at a negative pressure of -125 mmHg. Negative pressure therapy can be recommended to scar care clinics based on the results of this study.

3.
Microvasc Res ; 89: 34-9, 2013 Sep.
Artículo en Inglés | MEDLINE | ID: mdl-23806782

RESUMEN

Beat-to-beat cardiovascular variability analysis provides important information on the circulatory regulatory activities. Changes in the arterial pulse transmission or the opening condition of arteriolar openings might change the fluctuation pattern of the MBF supply, and thus change the complexity property therein. We performed complexity analysis of beat-to-beat laser Doppler flowmetry (LDF) signals to study the microcirculatory-blood-flow (MBF) response at the needled site (Hegu acupoint) following acupuncture stimulation (AS). LDF signals were measured in male healthy volunteers (n=29). Each experiment involved recording a 20-minute baseline-data sequence and two sets of effects data recorded 0-20 and 50-70min after stopping AS. Approximate-entropy (ApEn) analysis, which quantifies the unpredictability of fluctuations in a time series, was performed on each 20-minute beat-to-beat LDF data sequence. The present findings indicate that AS can not only improve the local blood supply but may also increase ApEn values and decrease MBF variability parameters. This was the first attempt to apply complexity analysis to LDF signals in order to elucidate microcirculatory responses following AS. The observed results are probably attributable to the contradictory effects on the MBF supply induced by AS, which might interfere with the microcirculatory regulatory activities so as to increase the complexity of LDF signals. The present findings could help to identify the mechanism underlying the effects of AS, might aid the development of an index for monitoring the induced microcirculatory regulatory responses, and thus provide an evidence-based connection between AS and modern physiology.


Asunto(s)
Terapia por Acupuntura , Velocidad del Flujo Sanguíneo , Microcirculación , Adulto , Presión Sanguínea , Voluntarios Sanos , Frecuencia Cardíaca , Humanos , Flujometría por Láser-Doppler , Masculino , Análisis de Regresión , Procesamiento de Señales Asistido por Computador , Piel/irrigación sanguínea , Temperatura , Factores de Tiempo
4.
Sensors (Basel) ; 14(1): 478-91, 2013 Dec 30.
Artículo en Inglés | MEDLINE | ID: mdl-24380926

RESUMEN

Flexibility testing is one of the most important fitness assessments. It is generally evaluated by measuring the range of motion (RoM) of body segments around a joint center. This study presents a novel assessment of flexibility in the microcirculatory aspect. Eighteen college students were recruited for the flexibility assessment. The flexibility of the leg was defined according to the angle of active ankle dorsiflexion measured by goniometry. Six legs were excluded, and the remaining thirty legs were categorized into two groups, group H (n = 15 with higher flexibility) and group L (n = 15 with lower flexibility), according to their RoM. The microcirculatory signals of the gastrocnemius muscle on the belly were monitored by using Laser-Doppler Flowmetry (LDF) with a noninvasive skin probe. Three indices of nonpulsatile component (DC), pulsatile component (AC) and perfusion pulsatility (PP) were defined from the LDF signals after signal processing. The results revealed that both the DC and AC values of the group H that demonstrated higher stability underwent muscle stretching. In contrast, these indices of group L had interferences and became unstable during muscle stretching. The PP value of group H was a little higher than that of group L. These primary findings help us to understand the microcirculatory physiology of flexibility, and warrant further investigations for use of non-invasive LDF techniques in the assessment of flexibility.

5.
Diagnostics (Basel) ; 12(1)2022 Jan 07.
Artículo en Inglés | MEDLINE | ID: mdl-35054311

RESUMEN

Severe neck-shoulder pain induces functional limitations in both life and work. The purpose of this study was to determine the characteristics of shoulder microcirculation abnormality in workers. This study recruited 32 workers and patients, both n = 16. Questionnaires were administered, and Laser Doppler Flowmetry (LDF) was used to measure microcirculatory blood flow (MBF) at the myofascial trigger points (MTrPs) on the shoulders. The absolute-deviationMMBF represented the mean MBF (MMBF) variability among subjects. The differences in the life characteristics, shoulder pain level, and microcirculatory characteristics at MTrPs between the two groups were compared. It was found that shoulder pain level was significantly higher in the patient than in the control group (p < 0.001). Deviation of the MMBF value beyond the postulated "normal range" of 60-80 was significantly higher in the patient than in the control group (p < 0.001). The MMBF deviation was significantly correlated with shoulder pain level, pain duration, and the symptom effect (p < 0.01, n = 32). A normal range for the MMBF of 60-80 on the shoulder near MTrPs is hypothesized for the first time based on this study. Noninvasive LDF can be used to assess abnormality in the MBF on shoulder MTrPs at an early stage.

6.
Diagnostics (Basel) ; 11(12)2021 Nov 29.
Artículo en Inglés | MEDLINE | ID: mdl-34943463

RESUMEN

Vascular impairment is a crucial factor associated with chronic muscle pain, but relevant research from the microcirculatory aspect is lacking. Here, we investigated the differences in neck muscle microcirculation detected through laser-doppler flowmetry (LDF) and cervical biomechanics by a videofluoroscopic image in asymptomatic participants and patients with postural neck and shoulder pain. To understand the mechanism behind the effect of myofascial treatment, transverse friction massage (TFM) was applied and the immediate effects of muscular intervention on microcirculation were monitored. In total, 16 asymptomatic participants and 22 patients (mean age = 26.3 ± 2.4 and 25.4 ± 3.2 years, respectively) were recruited. Their neck muscle microcirculation and spinal image sequence were assessed. The differences in the baseline blood flow between the asymptomatic and patient groups were nonsignificant. However, the standard deviations in the measurements of the upper trapezius muscle in the patients were significantly larger (p < 0.05). Regarding the TFM-induced responses of skin microcirculation, the blood flow ratio was significantly higher in the patients than in the asymptomatic participants (p < 0.05). In conclusion, postintervention hyperemia determined through noninvasive LDF may be an indicator for the understanding of the mechanism underlying massage therapies and the design of interventions for postural pain.

7.
Artículo en Inglés | MEDLINE | ID: mdl-32596231

RESUMEN

OBJECTIVE: Cigarette smoking promotes endothelial dysfunction and is a prominent catalyst for vascular disease. This study employed laser doppler flowmetry (LDF) and spectral analysis to investigate the skin microvascular response to relatively mild stimulus of stretching in diabetic smokers. METHODS: The study population consisted of thirty type 2 diabetic male patients (15 smokers vs. 15 non-smokers) and 15 normal non-smoking subjects. The cutaneous blood flow of the calf at both lower limbs was measured by LDF at a supine position throughout and after muscle stretching by passive dorsiflexion of the ankle. RESULTS: Following the stretch, post-stretch reactive hyperemia (PSRH) responses were found in all subjects. However, the diabetic non-smokers had relatively higher reactive blood flow than that of the diabetic smokers. The PSRH sustained for a longer time in both diabetic non-smokers and non-diabetic non-smokers in the time domain analysis. By spectral analysis, an observed discrepancy between that of diabetic smokers and diabetic non-smokers was statistically significant. Specifically, the frequency intervals corresponded to a nitric oxide dependent endothelial activity. In addition, an excessive response induced by stretching in frequency intervals of neurogenic activity, when compared with the non-smoking control, was found on diabetic non-smokers. CONCLUSION: All subjects expressed the PSRH effect in cutaneous microcirculation after a 10-s stretch stimulus; however, this effect was observed at a significantly lower intensity in chronic smokers with diabetes. The spectral analysis of the skin blood flow signals provides a pathological index for the assessment of the endothelial dysfunction induced by cigarette smoking. Furthermore, the discrepancy of neurovascular function between that of diabetic non-smokers and normal subjects could also be distinguished via the variations of the spectrum related to neurogenic activity.

8.
PLoS One ; 12(1): e0169318, 2017.
Artículo en Inglés | MEDLINE | ID: mdl-28060875

RESUMEN

AIM: Modern office workers are often impacted by chronic neck/shoulder pain. Most of the previous studies which investigated the relationship of the occupational factors and musculoskeletal symptoms had adopted questionnaire survey. In this study the microcirculatory characteristics and perceived symptoms in neck/shoulder region were compared among office workers with sedentary lifestyle. METHODS: Thirty-seven female office workers were recruited in this study. Microcirculatory flow in neck/shoulder region characterized by the mean blood flow (MMBF value), pulsatile blood flow (PMBF value), and the PMBF/MMBF ratio (perfusion pulsatility, PP) were investigated using Laser Doppler Flowmetry (LDF). A Chinese version of the Standardized Nordic Musculoskeletal Questionnaire (NMQ) were also administered to collect the information of perceived neck/shoulder symptoms. Correlations between the perfusion characteristics and the individual/occupational factors were analyzed using the Spearman test. The difference of the MMBF values between the low-pain group (pain level≤2) and the high-pain group (pain level>2) were compared using the Mann-Whitney U test. RESULTS: There were 81% participants reported neck or shoulder pain symptoms. The duration of shoulder pain was significantly correlated with the workers' age and the duration of employment (p<0.01) (n = 37). While both the MMBF and PMBF values in shoulder region were significantly reduced with the workers' age and the duration of employment (p<0.05) (n = 27). And there was a 54% reduction in the MMBF value of the workers from age of 23 to 47. And the MMBF value of the high-pain group (n = 15) was significantly lower than the value of the low-pain group (n = 15) (p<0.05). The duration of shoulder pain showed a moderately negative correlation with PMBF values (n = 19). Besides, the PP value was moderately correlated with shoulder pain level attributed by the rapid reduction of MMBF values (p = 0.07). CONCLUSION: In this study, the LDF method was used for the first time in the workplace in Taiwan. It was demonstrated that the MMBF in shoulder region were affected by aging effect and towards lower value at higher pain level. Impaired microcirculation caused by age effect, when coupled with sedentary lifestyle, was found to be more likely to evoke ischemia shoulder pain. Further studies are needed to assess current indicator, PP value, and the underlying mechanism of pain caused by sedentary lifestyle.


Asunto(s)
Enfermedades Musculoesqueléticas/fisiopatología , Dolor de Cuello/fisiopatología , Dolor/fisiopatología , Dolor de Hombro/fisiopatología , Adulto , Envejecimiento/fisiología , Femenino , Humanos , Persona de Mediana Edad , Dolor de Cuello/epidemiología , Conducta Sedentaria , Dolor de Hombro/epidemiología , Encuestas y Cuestionarios , Taiwán/epidemiología , Adulto Joven
9.
Blood Press Monit ; 9(5): 255-8, 2004 Oct.
Artículo en Inglés | MEDLINE | ID: mdl-15472498

RESUMEN

OBJECTIVE: To measure the coefficient of variation of the harmonic magnitude (HCV) of the radial arterial pulse before death of cancer patients. METHODS: We non-invasively recorded the radical arterial pulse of 21 end-stage cancer patients, 31 healthy subjects, and 47 outpatient department (OPD) patients. During the 2-week study, eight cancer patients expired. RESULTS: There were no considerable differences in diastolic or systolic blood pressure between cancer patients and other subjects; however, all six HCVs were significantly higher in the cancer patients (P<0.05). Within the cancer patient group, the first and second HCV were notably higher in the patients that expired (P<0.05), and the first to fourth HCVs were significantly increased on their last day (P<0.05). In the control healthy subjects and the OPD group, the HCVs were below 5 and 8%, respectively. In the cancer patients, the third to sixth HCVs were higher than 15%. On the last day of the cancer patients that expired, even the first and second HCVs were higher than 15%. CONCLUSIONS: During the dying process, the traditional diastolic and systolic blood pressure did not show significant changes; however, all the harmonic components gradually lost their stability. The HCVs, which increased first for the high-frequency components and then the low-frequency components, could quantitatively reflect the severity of different stages of illness.


Asunto(s)
Neoplasias/fisiopatología , Pulso Arterial , Índice de Severidad de la Enfermedad , Enfermo Terminal , Anciano , Relojes Biológicos , Presión Sanguínea , Estudios de Casos y Controles , Análisis de Fourier , Humanos , Persona de Mediana Edad , Oscilometría , Transductores
10.
Physiol Meas ; 25(6): 1397-403, 2004 Dec.
Artículo en Inglés | MEDLINE | ID: mdl-15712718

RESUMEN

It is known that arteries in their natural position are always subject to a longitudinal stress. However, the effect of this strong longitudinal tension has seldom been addressed. In this paper, we point out that the traditional pulse wave velocity formulae considering only the circumferential elasticity fail to include all the important energies. We present a vigorous derivation of a pressure wave equation, the pressure wave equation with total energy, which considers all the important energies of the whole arterial system by treating the arterial wall and the blood as one system. Our model proposes that the energy transport in the main arterial system is primarily via the transverse vibration motion of the elastic wall. The final equation indicates that the longitudinal stress is essential and the high frequency phase velocity is related to the longitudinal tension along the arterial wall and its Young's shearing modulus. By applying this equation, we suggest that longitudinal elastic property is an important factor in hemodynamics and in the treatment of cardiovascular diseases.


Asunto(s)
Arterias/fisiología , Velocidad del Flujo Sanguíneo/fisiología , Fenómenos Fisiológicos Sanguíneos , Presión Sanguínea/fisiología , Modelos Cardiovasculares , Flujo Pulsátil/fisiología , Pulso Arterial/métodos , Animales , Simulación por Computador , Elasticidad , Humanos , Resistencia al Corte , Estrés Mecánico , Resistencia Vascular
11.
J Med Syst ; 36(6): 4005-20, 2012 Dec.
Artículo en Inglés | MEDLINE | ID: mdl-22926919

RESUMEN

With the development of information technology and medical technology, medical information has been developed from traditional paper records into electronic medical records, which have now been widely applied. The new-style medical information exchange system "personal health records (PHR)" is gradually developed. PHR is a kind of health records maintained and recorded by individuals. An ideal personal health record could integrate personal medical information from different sources and provide complete and correct personal health and medical summary through the Internet or portable media under the requirements of security and privacy. A lot of personal health records are being utilized. The patient-centered PHR information exchange system allows the public autonomously maintain and manage personal health records. Such management is convenient for storing, accessing, and sharing personal medical records. With the emergence of Cloud computing, PHR service has been transferred to storing data into Cloud servers that the resources could be flexibly utilized and the operation cost can be reduced. Nevertheless, patients would face privacy problem when storing PHR data into Cloud. Besides, it requires a secure protection scheme to encrypt the medical records of each patient for storing PHR into Cloud server. In the encryption process, it would be a challenge to achieve accurately accessing to medical records and corresponding to flexibility and efficiency. A new PHR access control scheme under Cloud computing environments is proposed in this study. With Lagrange interpolation polynomial to establish a secure and effective PHR information access scheme, it allows to accurately access to PHR with security and is suitable for enormous multi-users. Moreover, this scheme also dynamically supports multi-users in Cloud computing environments with personal privacy and offers legal authorities to access to PHR. From security and effectiveness analyses, the proposed PHR access scheme in Cloud computing environments is proven flexible and secure and could effectively correspond to real-time appending and deleting user access authorization and appending and revising PHR records.


Asunto(s)
Acceso a la Información , Seguridad Computacional , Registros Electrónicos de Salud , Registros de Salud Personal , Almacenamiento y Recuperación de la Información/métodos , Internet , Algoritmos , Confidencialidad
12.
J Altern Complement Med ; 14(9): 1145-50, 2008 Nov.
Artículo en Inglés | MEDLINE | ID: mdl-19055336

RESUMEN

AIMS: Previously, we found that qi-stimulating events exerted similar frequency-specific effects on the blood pressure pulse spectrum. Because coffee and qi induce similar stimulatory psychological responses, we aimed to determine whether they would induce similar pulse effects. Such a relationship would suggest a close linkage between the physiologic mechanisms underlying the psychostimulatory responses and vascular effects of coffee and qi. Therefore, the profound investigations into the mechanisms underlying the effects of coffee on the central nervous system and the vascular system may help to elucidate the underlying physiology mechanisms of qi. METHODS: Each test subject took three rounds of 150 mL coffee (0.1 g/kg, 0.05 g/kg, 0.05 g/kg) in a 30-minute interval. The subject's pulses were recorded at the end of each round. The changes in the test subject's pulse spectrum between before and after coffee consumption were compared with changes induced by a water placebo. RESULTS: Both coffee and qi caused the intensities of the third, sixth, and ninth harmonics of the pressure pulse spectrum to be relative peaks to their neighboring harmonics. CONCLUSION: Our results suggest that the coffee effect may be considered a qi-stimulating event, and there is a common physiologic factor determining the psychostimulatory responses of qi and coffee as well as their effects on the cardiovascular system, which results in a specific frequency pattern in the blood pulse spectrum. Adenosine, which is the main physiologic compound affected by coffee, might also be the key factor affected by qi.


Asunto(s)
Cafeína/administración & dosificación , Estimulantes del Sistema Nervioso Central/administración & dosificación , Café , Frecuencia Cardíaca/efectos de los fármacos , Frecuencia Cardíaca/fisiología , Qi , Adulto , Femenino , Humanos , Masculino , Pulso Arterial , Valores de Referencia , Adulto Joven
13.
J Diabetes Complications ; 22(6): 371-6, 2008.
Artículo en Inglés | MEDLINE | ID: mdl-18413165

RESUMEN

OBJECTIVE: The objective of this study was to determine the conditions for optimizing measurements obtained with a noninvasive blood glucose monitor using the optical signal of pulsatile microcirculation (OSPM) in both prediabetic and diabetic subjects receiving medication. RESEARCH DESIGN AND METHODS: Eighteen subjects (3 prediabetic, 15 diabetic) aged 61.8 [15.9] years (mean [S.D.]) were studied. OSPM was the pulsatile component (P) of the signal obtained and analyzed by a blood glucose monitor. The measurement was calibrated to the fingerstick meter for each subject for personal calibration. Data were obtained from all subjects using both meters. RESULTS: A total of 179 data pairs were measured and analyzed. The validity of the position of the tested finger was assessed using the position criterion, which resulted in the removal of 38 data pairs. The criterion for the intensity of the P signal was satisfied by 141 data pairs, with nonconforming data (with a much lower P signal) mainly occurring below 26 degrees C. A total of 113 data points passed both criteria, and 100% of them fell within Zones A and B of the Clarke error grid. Data in Zones A and B exhibited a linear relationship (r=.81; slope=0.82; intercept=28.0) between noninvasive and fingerstick measurements. CONCLUSIONS: Environmental temperature has the greatest influence on the capability of the OSPM technique to monitoring blood glucose concentration, which is subject dependent. The position of the tested finger is the second major factor, hence a carefully designed finger adaptor is essential.


Asunto(s)
Automonitorización de la Glucosa Sanguínea/métodos , Diabetes Mellitus/sangre , Microcirculación , Flujo Pulsátil , Adulto , Anciano , Anciano de 80 o más Años , Automonitorización de la Glucosa Sanguínea/instrumentación , Femenino , Dedos/irrigación sanguínea , Humanos , Masculino , Persona de Mediana Edad , Óptica y Fotónica , Proyectos Piloto , Sensibilidad y Especificidad
14.
Acta Pharmacol Sin ; 24(2): 145-51, 2003 Feb.
Artículo en Inglés | MEDLINE | ID: mdl-12546722

RESUMEN

AIM: To distinguish the component difference between two similar herbal formulas by pulse analysis method. Many Chinese herbs were found to have specific effects on the Fourier components of the blood pressure pulse; it might infer a specific blood redistribution process on the body and reflect the health conditions of specific organs or tissues. The pulse effect of an herbal formula was similar to the linear combination of all its herbal compositions. METHODS: Two different versions of the herbal formula Liu-Wei-Dihuang were fed to the Wistar rats as a single blind test. The blood pressure pulses on the rat tail artery were recorded and then transformed to the frequency domain by Fourier analyzer. RESULTS: Formula A, Bai-Wei-Dihuang, with two more herbs Cortex Cinnamomi and Radix Aconiti added to Liu-Wei-Dihuang, increased the harmonic proportion of the 1st harmonic (C1) but decreased C4, C5. Formula B is composed in the same way but without Rhizoma Batatatis and Poria cocos; it increased the DC of the pulse spectrum (C0), but decreased C2, C3, C4, C5, C6. CONCLUSION: The component adjustment of an herbal formula could be distinctly and quantitatively detected by pulse analysis method.


Asunto(s)
Presión Sanguínea/efectos de los fármacos , Medicamentos Herbarios Chinos/farmacología , Plantas Medicinales , Animales , Combinación de Medicamentos , Medicamentos Herbarios Chinos/administración & dosificación , Medicamentos Herbarios Chinos/aislamiento & purificación , Análisis de Fourier , Plantas Medicinales/química , Pulso Arterial , Ratas , Ratas Wistar
15.
Conf Proc IEEE Eng Med Biol Soc ; 2004: 3681-3, 2004.
Artículo en Inglés | MEDLINE | ID: mdl-17271092

RESUMEN

Pulse wave velocity is mostly related to the young's modulus by the Moens and Korteweg's formula. In deriving this formula, the wall's effect on the blood was ignored at the first step and the pressure gradient was considered as the only driving force in the axial flow of the blood. The local area gradient was assumed to be zero. However, for a real arterial system with compliance, the area gradient is automatically accompanied with the pressure gradient and it will contribute an area gradient force. This force has been omitted so far without any justification because it will contribute a nonlinear term and also leads an obstacle for the analogy with the transmission line theory. We give a quantitative evaluation of the ratio of the area gradient force to the pressure gradient force and find that it is more than 50% in the main artery. This shows the inadequacy and the inaccuracy of the pulse wave velocity derived based on this axial flow equation. We propose that starting from the radial equation of motion might provide an alternate, feasible method to study hemodynamics by energy concern.

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