Acupuncture Differentially Affects the High-Frequency Spectral Energy in Radial Pulse Positions Depending on Type of Lower Back Pain

Acupuncture is a core discipline in traditional Chinese medicine (TCM) and has been practised in China for centuries. In traditional acupuncture, pulse palpation is an important clinical diagnostic technique that guides practitioners in their treatment strategies as they evaluate the effectiveness of the treatment. This paper provides the findings of our investigation of acupuncture's effect on specific radial pulse spectral energies in 41 individuals with lower back pain (LBP), in response to a single acupuncture treatment delivered bilaterally at acupoints BL23, BL25, and BL40. Baseline assessments (vital signs and radial pulse diagnoses), primary outcome measures (radial pulse diagnoses), and secondary outcome measures (the Faces Pain Scale-Revised (FPS-R) and fingertip-to-floor (FTF) tests) were performed at specified intervals before and after the intervention. Our study provides novel information about the effects of acupuncture on the radial pulse spectral energy in individuals with different types of LBP. Our findings suggest that the right Chi pulse is an effective indicator to assess the effects of acupuncture in individuals with fixed, distended, or sharp pain, whereas the left Guan pulse is a potentially useful diagnostic technique to determine acupuncture's effects in individuals with dull, aching pain. The acupoints BL23, BL25, and BL40 provide effective treatment for LBP. Study participants with dull, aching pain had a significant improvement in their lumbar ranges of motion, and their pain rating scores were markedly decreased after acupuncture treatment.


Introduction
Acupuncture is a core discipline in traditional Chinese medicine (TCM) and has been practised in China for centuries. In traditional acupuncture, pulse palpation is an important clinical diagnostic technique that guides acupuncture practitioners in their treatment strategy and evaluates the effectiveness of the treatment [1]. e Ling Shu text in Chapter 1 of Huang Di Nei Jing advises that "one must first diagnose the pulse before acupuncture, treat the disease only after perceiving the severity or ease of the Qi" [2].
Conventionally, TCM practitioners palpate the radial pulse with the second, third, and fourth fingers individually or simultaneously, at the three regions of each wrist. ese regions, representing the Cun (distal), Guan (middle), and Chi (proximal) pulses (the Pin Yin pulses named Cun, Guan, and Chi are adopted in this article; they are also translated as Chun, Guan, and Chi pulses in some references), correspond to the respective visceral organs in TCM: right Cun (lung and chest), right Guan (stomach and spleen), right Chi (kidney and lower abdomen), left Cun (heart), left Guan (liver and gallbladder), and left Chi (kidney and lower abdomen) [3].
Each radial pulse profile has unique characteristics: depth, rate, waveform, density, and intensity. e ancient texts describe 28 common pulse profiles observed in clinical practice [4]. ese are categorised by (1) depth: floating, sunken, Chi (proximal), or Cun (distal); (2) rate: slow, rapid, surging, or intermittent; (3) waveform: long, short, narrow, broad, thick, thin, rough, fine, firm, or gentle; and (4) intensity and density: converging, dispersing, extending, shortening, moving forward, moving backward, moving upward, or moving downward [3]. Each pulse profile provides information about the physiological conditions or disorders in the human body [5]. For example, Jeon et al. studied pulse wave variation during the menstrual cycle and reported that the pulse appeared to be either string-like or slippery and rapid [6]. e accuracy of pulse diagnoses depends on the finger sensitivity of TCM practitioners and their experiential perception. Inconsistencies in diagnoses and treatments can result from subjective assessments by TCM practitioners [7,8]. Since the 1950s, quantitative analyses of pulse profiles have been studied by researchers [1]. e development of the pulse sphygmograph, providing quantitative and graphical presentations of the radial pulse, is an important milestone in transforming conventional pulse diagnoses into scientific assessments.
is paper provides the findings of our quasi-experimental investigation on the effects of acupuncture on the specific radial pulse spectral energy (SE) in participants with lower back pain (LBP). Using the pulse sphygmograph, we investigated high-frequency SE (SE  in the radial pulse during the pre-and postintervention stages. An objective assessment of the ranges of motion using the fingertip-to-floor (FTF) test and a subjective assessment of the Faces Pain Scale-Revised (FPS-R) test were included to determine the effectiveness of acupuncture in different types of LBP. In addition, the Health Status Questionnaire, the Oswestry Disability Index (ODI), and the Constitution in Chinese Medicine Questionnaire (CCMQ) were used to determine the overall health status of each study participant. Full details of the methodologies are described in the study protocol "An investigation into the effects of acupuncture on radial pressure pulse waves in patients with low back pain: a protocol for a quasi-experimental study" [1].

Study Setting and Design.
e study was conducted in the Acupuncture Department of the China Medical University Hospital (CMUH), Taichung, Taiwan, from April 2018 through March 2019.
e Standard Protocol Items: Recommendations for Interventional Trials (SPIRIT) 2013 checklist was used to guide this single-arm, nonrandomised, quasi-experimental study. We adopted the Transparent Reporting of Evaluations with Nonrandomised Designs (TREND) guideline to report the findings. Figure 1 provides details of the study flow diagram and study procedure.

Study
Participants. Recruitment into the study was advertised on the hospital's regular internal circulars, bulletin boards, and websites. During the recruitment phase, 42 eligible individuals aged at least 20 years with a primary complaint of LBP, based on the predefined inclusion and exclusion criteria, were invited to participate in the study by the chief attending physician. Informed consent including the study aims, description of the procedures, and potential risks was approved by the CMUH Research Ethics Committee (REC) and was communicated to each individual, who provided written informed consent before the procedure.

Interventions.
Each participant received a single acupuncture treatment in this research study. During the procedure, the participant rested in a prone position while acupuncture needles were inserted bilaterally at acupoints BL23 (Shenshu), BL25 (Dachangshu), and BL40 (Weizhong) as defined in WHO Standard Acupuncture Point Locations in the Western Pacific Region [9]. ese locations, at the Bladder meridian of the lower back region and the transverse crease of the popliteal fossa, are common proximal and distal acupoints used in the treatment of LBP. e Ling Shu text in Chapter 51 of Huang Di Nei Jing states that the Shenshu (BL23) acupoint is the Back-Shu point of the kidneys, with functions including tonifying the kidneys and fortifying Yang, nourishing kidney Yin, firming kidney Qi, and strengthening the lumbar regions. e Dachangshu (BL25) acupoint is the Back-Shu point of the large intestine, which strengthens the lumbar regions and legs.
e Weizhong (BL40) acupoint is one of the four command acupoints, which indicates "look for the Weizhong (BL40) acupoint to relieve disorders of the waist and back" [10]. e acupuncture needles were inserted within the defined safe range of 12.5-25 mm for BL25 and BL40, and within 12.5-40 mm for BL23 [11]. e needles were retained for 20 min after the needling sensation (De-qi) was manually stimulated with sufficient stimulus intensity during insertion and subsequently repeated 10 min after the insertion. A similar stimulus intensity was applied by the same acupuncturist to all study participants without supplementing or draining techniques [12]. In acupuncture practice, supplementing and draining techniques are generally applied to increase Qi in the deficiency state and decrease Qi in the repletion state after the patient experiences the De-qi sensation [13]. In our study, we avoided using these techniques, which may have resulted in confounding bias in the results.   Based on modern studies, the left Chi pulse corresponds with the kidney Yin and the right Chi pulse corresponds with the kidney Qi and Mingmen [3]. We therefore selected LBP as the condition for clarifying the relationship of the kidneys and Chi pulse positions, and for evaluating the effectiveness of the selected acupoints in acupuncture interventions. LBP is a common condition, ranking second amongst all musculoskeletal and connective tissue disorders affecting individuals presenting to Taiwanese TCM outpatient clinics in 2018 [15]. e relationship of the lower back and kidney is explained in the Suwen text in Chapter 17 of Huang Di Nei Jing, which states that the lower back is the "house" of the kidneys [14]. Our preliminary hypotheses were therefore the following: (1) acupuncture significantly influences the Chi pulse in participants with LBP, so it is an effective indicator for assessing outcomes of acupuncture intervention and (2) reduced pain intensity and improved physical movement are reflected in the FPS-R and FTF tests after acupuncture intervention.

2.5.
Outcomes. Baseline assessments included vital signs (systolic blood pressure (SBP), diastolic blood pressure (DBP), heart rate, and body temperature), the Health Status Questionnaire, the ODI, and the CCMQ, as described in the study protocol. e primary outcome measure was the effect of acupuncture on radial pulse patterns in individuals with LBP. e secondary outcome measures determined the effectiveness of the acupuncture treatments using the selected acupoints.
e primary outcome measure in this study was the effect of high-frequency SE (SE 13-50 Hz ) on the radial pulse, which was assessed by the pulse sphygmograph at specific intervals during the procedure. Figure 2 illustrates the assessment of a single study participant using the pulse sphygmograph (Pen Pulse Analysis System Model PPAS-96, Asia Plus Biotech Co., Taiwan). We selected SE 13-50 Hz as our primary outcome measure based on the study by Wei et al., which reported large variations in SE above 10 Hz in individuals with various diseases or mental stress [16]. We therefore anticipated significant changes would be found in SE values exceeding 10 Hz. e secondary outcome measures used the FTF and FPS-R tests to evaluate the efficacy of the acupuncture treatments.
e FTF test evaluates flexibility in the flexion ranges of motion, while the FPS-R test evaluates pain intensity. Both tests were administered during the pre-and postintervention assessments.
In this study, vital sign assessment and pulse assessment were performed during each of the baseline (A0), preintervention (A1), and postintervention (A2) phases, respectively. e baseline assessments were used as a control to compare the stability of these parameters at the preintervention stage. Each participant was assigned an identification code to protect the privacy of their personal details. Raw data were consolidated in Microsoft Excel 2016 and pivoted to analyse the results.

Design and Mechanism of the Pulse Sphygmograph.
e pulse sphygmograph (PPAS-96) is a noninvasive diagnostic device consisting of a detachable, high-precision pulse detection sensor pen with a stable Y-axial movable framework. It is connected to a pulse signal analyser containing a filter, an amplifier, and a signal-recording card. e device has a sampling rate of 3,000 Hz and frequency response of 0.1-50 Hz. e input voltage uses USB_DC5V. e physiological signals of the radial pulse are digitalised and processed through the fast Fourier transform. e digital output presented in the software application includes a realtime display of the pulse spectrogram and time-and frequency-domain analyses. PPAS-96 is the enhanced model of the Huang-T1 Pulse Sphygmograph [1]. Huang-T1 Pulse Sphygmograph has been used in studies that have investigated the effects of acupuncture in patients with dyspepsia [12]; the influence of radial pulse and heart rate variability (HRV) in heat-and cold-stressed humans [17]; and a comparison of the radial pulse and HRV in normotensive and hypertensive subjects [18]. During this study assessment, we located the Cun, Guan, and Chi pulse positions on the left and right wrists of each study participant.
e Guan pulse position, where the radial pulse is palpated, is located at the prominence distal to the radial styloid process (see Figure 3). e Cun pulse position is located at the distal aspect and the Chi pulse position is located at the proximal aspect of the Guan pulse position. An anatomical study in 1994 reported that the length of the Guan pulse position is approximately 1.5 cm and that of the Cun and Chi Figure 2: Pulse assessment of a study participant. e high-precision pressure sensor was positioned on each marked position of the Cun, Guan, and Chi pulses of the wrist. e biological signal of the radial pulse was then digitised to provide graphical analysis. e best spectrogram, which displayed the greatest amplitude, was then recorded.
pulse positions is approximately 1 cm each [3]. In our study, we marked these pulse positions during the baseline assessment so that the same positions were subsequently assessed during the pre-and postintervention study visits.
Upon placing the pressure sensor pen on each pulse position, the real-time representation of the time-domain and frequency-domain analyses is displayed in the monitor. e best spectrogram with the greatest amplitude of each pulse position is sequentially recorded. A report is then generated immediately from the software application after assessment of the six pulse positions is completed (see Figure 4). In this study, we assessed the pulse positions in the same order of right Cun, right Guan, right Chi, left Cun, left Guan, and left Chi during the baseline, preintervention, and postintervention phases. ere was no time lag between the measurement of each pulse position.

Sample Size.
Shin et al. [19] and Kim et al. [20] estimated a sample size of 25 participants in their single-arm study based on a 5% type 1 error, 80% power, and 5% dropout rates, derived from the mean change and standard deviation in SE 13-50 Hz during the pre-and postintervention phases observed in the study by Huang et al. [12]. Huang et al. used the Huang-T1 Pulse Sphygmograph to compare the effects of acupuncture between healthy subjects and patients with dyspepsia [12]. Each study group contained 30 participants, and the reported p value for the difference in SE 13-50 Hz between the pre-and postinterventions was 0.0029; the mean difference was − 3.38.
As a reference, we performed an interim analysis at the 25th trial, to examine the significant difference (p values) of the mean for the primary outcome. Recruitment into the study was halted after obtaining significant differences (p < 0.05) in SE 13-50 Hz and FTF and FPS-R results at the end of the approved trial period (March 2019).

Assignment Method and Blinding.
As all participants received the same pre-and postinterventions, this study did not need to incorporate randomised assignment and blinding procedures.

Unit of Analysis and Statistical Methods.
Analyses were performed at a group level. Baseline characteristics (age, gender, height, body weight, and vital signs), FTF and FPS-R test results, and pulse assessments were compared between A0 (30 min before acupuncture), A1 (10 min before acupuncture), and A2 (10 min after acupuncture). e significance of changes in the SE 13-50 Hz and FTF and FPS-R tests induced by the acupuncture intervention was determined using paired t-tests. Wilcoxon signed-rank test analysis was performed (this nonparametric statistical test is used to assess differences from matched-pair designs or repeated measures to determine whether two dependent samples selected from the populations have the same distribution). e two-sided significance level <0.05 was used. Results were analysed using SAS statistical software (Version 9.4; SAS Institute, Cary, NC, USA) and are presented as the means, standard deviations, 95% CIs, and p values.     Evidence-Based Complementary and Alternative Medicine nos. CMUH107-REC2-022 and CMUH107-REC2-022 (AR-1). is study was registered at www.clinicaltrials.gov (NCT03501771) on 17 April 2018. Before commencing the study, we obtained written informed consent from each participant.

Results
Forty-five individuals were enrolled into the study, and three were subsequently excluded, as they were not able to undergo pulse assessments at the principal investigator's discretion. For analysis, we excluded the data of one individual above 75 years, to reduce the error of experimental results. All study results are therefore for 41 participants. None of the enrolled study participants discontinued the study because of compliance issues or adverse events. No unintended effects or adverse events were reported in any of the assessments.

Baseline Characteristics.
e baseline characteristics of the study population with LBP are described in Table 1.
ere were 29 female and 12 male participants with an average overall age of 41.63 ± 16.01 years: 48.8% were young adults (20− 44 years), 39% were middle-aged (45− 64 years), and 12.2% were elderly (65− 75 years). LBP was reportedly felt as fixed, distended, or sharp pain by 43.9% of the study cohort; 56.1% experienced dull, aching pain (the intensity of aching was more than the intensity of sharp pain). e majority of study participants (58.5%) had minimal disabilities. Based on the CCMQ self-survey, 56.1% of the participants had balanced constitutions. e correlation between various body constitutions and different types of LBP was not analysed because of the low sample size for each type of nonbalanced constitution. Table 2 compares the vital signs before and after the intervention. ere was no significant difference in body temperature before and after the intervention. However, there were a significant increase in DBP and an extremely significant decrease (p < 0.0001) in the pulse rate after the intervention.

Primary Outcome Measure.
e radial pulse SE 13-50 Hz was determined at the Cun, Guan, and Chi pulses before and after the intervention. Table 3 presents the results of these six pulse positions in the overall study population. Group 1 represents study participants with fixed, distended, or sharp LBP (Table 4), and Group 2 represents those with dull, aching LBP (Table 5). Figure 5 presents the graphical data.
e results of the radial pulse diagnoses showed that, in general, acupuncture at Shenshu (BL23), Dachangshu (BL25), and Weizhong (BL40) reduced the high-frequency SE at the right Chi pulse after the treatment (p � 0.0528).
e reduction was significant in Group 1 participants with fixed, distended, or sharp pain (p � 0.0380), but not among those in Group 2 with the dull, aching pain (p � 0.8109). In contrast, Group 2 displayed an increasing trend close to significance in high-frequency SE at the left Guan pulse after acupuncture treatment (p � 0.0864).
Nonparametric analysis revealed no significant differences in SE 13-50 Hz during the pre-and postinterventions, except for the right Chi of Group 1 participants. Table 6 provides the results of the nonparametric analysis of SE 13-50 Hz values for Group 1 before and after acupuncture (A1 vs. A2).
e effects of acupuncture on the radial pulse SE 13-50 Hz were compared between the balanced and nonbalanced constitutions. Changes in SE 13-50 Hz in study participants with a balanced constitution were similar to those in Group 1 participants, although the decreases in right and left Chi were not significant ( Figure 6). In contrast, those with nonbalanced constitutions had a nonsignificant decrease in SE 13-50 Hz in the right Guan and Chi and increases in the other pulse positions. Table 7 provides the results of the FTF and FPS-R tests. We observed that both Group 1 and Group 2 study participants had a greater lumbar range of motion, since the distance between the floor and the finger was significantly shorter after the acupuncture session. Group 2 had significantly better lumbar range of motion than Group 1 (p < 0.001). FPS-R test results showed that both groups experienced a significant reduction in pain after the acupuncture procedure (p < 0.001), although the pain rating was significantly better for Group 2 versus Group 1.

Discussion
A pulse diagnosis provides information on the physiological and pathological states of the visceral organs and bowels [5].
is tactile method of determining essential information for diagnoses and treatments has been progressively transformed and digitised through the invention of various scientific tools over the last few decades [21]. A few studies have reported the effects of acupuncture intervention on the radial pulse in healthy subjects [20,[22][23][24][25][26], patients with dyspepsia [12], and those with cervical spondylosis [27]. To date, no study has investigated the effect of acupuncture on the radial pulse patterns in individuals with LBP.

Demographic Characteristics.
Our study contained a higher proportion of younger adults (aged between 20 and 44 years; 48.8%) than other age groups, reflecting findings from another study demonstrating that LBP is especially prevalent among younger adults [28]. Approximately 70% of our study population was female. One study has reported that LBP is more prevalent among females than males, predominantly in occupational groups including industrial workers, white-collar workers, physiotherapists, and hospital staff [29]. As described in our published study protocol, four types of LBP exist, based on the TCM syndrome-aetiology differentiation (see Figure 7) [1].
Each LBP syndrome is identified by characteristic pain sensations and associated symptoms. For instance, a patient Evidence-Based Complementary and Alternative Medicine with Cold damp syndrome experiences cold extremities in addition to cold pain and heaviness in the lower back; numbness, soreness with limited movement, or cramps may also be experienced; the pain is worse during cold or rainy weather but relieved when warmth is applied; often experiences poor appetite and abdominal distention; has thick whitecoating on the tongue; a deep and taut pulse or deep and slow pulse may be felt [30]. Although we had designed our study to recruit the four types of LBP patients, we found that only two types of pain were common in these study participants, i.e., fixed, distended, or sharp pain and dull, aching pain. us, to facilitate our statistical analysis, we categorised the data into two sets according to the type of pain described by the study participants, that is, Group 1 (LBP with fixed, distended, or sharp pain) and Group 2 (LBP with dull, aching pain).
About 60% of the Group 1 participants were in the acute stage (<4 weeks), while 60% of the Group 2 participants were in the chronic stage (>12 weeks). Fixed, distended, or sharp pain was experienced by study participants in the acute stage. In the TCM perspective, this was due to the obstruction of the meridians by blood stasis [31]. In contrast, dull, aching pain experienced in the chronic stage was related to kidney deficiency that resulted in poor nourishment of the meridians [32].
Over half of the study participants had a balanced body constitution based on the CCMQ survey. e CCMQ has  Values are presented as mean ± SD. * p < 0.05; * * p < 0.001. A0 � assessed 30 min before acupuncture; A1 � assessed 10 min before acupuncture; A2 � assessed 10 min after acupuncture; DBP: diastolic blood pressure; SBP: systolic blood pressure; SD � standard deviation. 95% CI is presented as a range from the lower limit to the upper limit.  [33,34]. is questionnaire contains 60 questions that categorise the body constitution into nine types, namely, Normality, Qideficiency, Yin-deficiency, Yang-deficiency, Phlegmdampness, Damp-heat, Blood stasis, Qi-depressed, and Inherited special constitutions. A pilot test was carried out in a Beijing population, and its construct validity and reliability were proven by 2,500 subjects [35]. Our study sample size was not large enough to analyse correlations between types of LBP based on the nine types of body constitutions. Nevertheless, we found that the changes in SE 13-50 Hz after acupuncture on the radial pulse in study participants with balanced constitution were similar to the changes in SE 13-50 Hz in Group 1 participants. Conversely, changes in SE 13-50 Hz in the right Guan and Chi were nonsignificantly decreased after acupuncture in participants with nonbalanced constitutions. ese results are inconclusive because of a lack of significance. It may be worthwhile conducting future clinical studies with larger sample sizes.   A0 � assessed 30 min before acupuncture; A1 � assessed 10 min before acupuncture; A2 � assessed 10 min after acupuncture; SD � standard deviation. 95% CI is presented as a range from the lower limit to the upper limit.

Vital Signs.
We observed an insignificant elevation in SBP but a significant elevation in DBP within the normal range after bilateral acupuncture intervention at BL23, BL25, and BL40. is phenomenon has not been previously reported by any studies. Flachskampf et al. reported that acupuncture significantly reduced SBP and DBP in hypertensive patients in a randomised controlled trial [36]. In dogs with low blood pressure, electroacupuncture at Zusanli (ST36) or Neiguan (PC6) significantly restored blood pressure to normal levels [37]. To explain this phenomenon using the TCM meridian theory, the Suwen text in Chapter 24 of Huang Di Nei Jing describes how "the Tai-Yang meridians often have more blood and less Qi" [14]. We therefore speculate that when we stimulated the acupoints on the Bladder meridian of the Foot Tai-Yang, blood circulation was improved. Moreover, Wang et al. used a blood perfusion imaging technique to conclude that acupuncture at BL40 can increase skin blood perfusion in the lower back [38]. Further investigations are warranted to obtain more conclusive results on the comparative effects of specific acupoints on blood pressure.
Our findings also show that the pulse rate was significantly reduced within the 20-min interval before the intervention. ere was a marked significant decrease after the intervention. Streitberger et al. have pointed out that the decrease in the heart rate after an acupuncture procedure could be due to delayed vagal activation [39].

Primary Outcome Measure: Radial Pulse Diagnosis.
e results of the radial pulse SE 13-50 Hz analysis suggest that our primary hypothesis holds true, that is, "acupuncture can significantly influence the Chi pulse in participants with LBP." e SE 13-50 Hz of the right Chi pulse was significantly reduced after the acupuncture treatment at the bilateral BL23, BL25, and BL40 (p � 0.0528). However, we observed that Group 1 participants had a more significant reduction (p � 0.0380) compared to those in Group 2 (p � 0.6903). In contrast, Group 2 participants had a marked trend of increasing SE at the left Guan pulse after the treatment (p � 0.0864).
For the subgroup analyses, the only significant difference in SE 13-50 Hz was found in the right Chi of Group 1 study  Values are presented as mean ± SD. * p < 0.05; * * p < 0.001. A1 � assessed 10 min before acupuncture; A2 � assessed 10 min after acupuncture; SD � standard deviation. 95% CI is presented as a range from the lower limit to the upper limit.
participants between the pre-and postinterventions and was probably a result of the small sample size. In further analysis using the Wilcoxon signed-rank test, the nonparametric results showed less significant difference in SE 13-50 Hz of right Chi for the overall population (n � 41) before and after acupuncture. Subgroup analysis of Group 1 maintained robust significance in the comparison of right Chi. e nonparametric analysis showed the same trend and consistent result as the parametric analysis. us, these results provided valuable information and suggested that the right Chi pulse can effectively assess the effect of acupuncture intervention in LBP patients with fixed, distended, or sharp pain, while the left Guan pulse is potentially useful to assess those with dull, aching pain.
We speculated that higher density and intensity of SE were generally found at the right Chi pulse of Group 1 study participants. e high SE corresponded to the increased vasomotion of the peripheral blood vessels. is coincides with Huang et al.'s study, which reported that heat stress subjects had an elevated SE that resulted from an increase in peripheral vascular dilatation and vasomotion [17]. e increased vasomotion was a result of the elevated sympathetic nervous activity stimulated by pain [40]. However, the effects of acupuncture on sympathetic nerve activity are controversial. Middlekauff et al. concluded that acupuncture inhibited sympathetic nerve activity during mental stress in patients with heart failure [41], whereas Kim et al. reported that acupuncture at ST36 increased sympathetic nerve activity in healthy participants [20]. In this study, we speculate that bilateral acupuncture at BL23, BL25, and BL40 attenuated sympathetic nerve activity, reducing the contraction force of local muscles and vasomotion.
us, pain was relieved, and a high-frequency SE at the right Chi pulse was decreased.
Huang Di Nei Jing states that "both Chi pulse positions correspond to the kidney and the abdomen" and that "the lumbus represents the house of the kidneys" [3,14]. Interestingly, we found that bilateral acupuncture at BL23, BL25, and BL40 acupoints for treatment of LBP influences high-frequency SE more significantly at the right Chi pulse rather than both Chi pulses. To explain this phenomenon, we revisited the ancient literature. Nan Jing: e Classic of Difficult Issues states that the Chi pulses correspond to the bladder [3]. In clinical practice, the right Chi pulse is more closely associated with the bladder, although some physicians and philosophers have suggested that the left Chi pulse corresponds to the bladder [3]. e Ling Shu text in Chapter 10 states that the Bladder meridian of the Foot Tai-Yang is affiliated with the bladder and connects to the kidneys. In addition, Shang Han Lun (Treatise on Cold Pathogenic Diseases) states that the Tai-Yang meridians dominate the body's exterior. We speculated that fixed, distended, or sharp LBP results from kidney Qi repletion caused by the invasion of pathogenic factors on the body's exterior, mainly influencing pulse density and intensity and causing a large variation in high-frequency SE [16]. us, higher density and intensity of SE were found at the right Chi pulse before treatment. Acupuncture at BL23, BL25, and BL40 of the Bladder meridian resulted in decreased density and intensity of SE, reflecting directly on the right Chi pulse. Future studies could investigate the effects of acupoints from other meridians associated with the treatment of LBP on the left and right Chi pulses, to prove our speculation. e Suwen text in Chapter 39 of Huang Di Nei Jing describes how Invasion of the following factors:  Figure 7: Diagrammatic presentation of aetiology and syndrome relationships of LBP. Each syndrome is characterised by the pain characteristics, associated symptoms (e.g., cold extremities in the Cold damp syndrome), and tongue and pulse characteristics.
sudden pain occurs when the Qi channel is obstructed [14]. Conversely, a dull, aching pain is caused by Qi and blood insufficiency [42]. Our findings showed an increased highfrequency SE at the left Guan pulse of Group 2 participants after their acupuncture treatment. We speculate that these individuals have a circulatory insufficiency. A significant increase in blood flow during these acupuncture sessions resulted in a higher intensity of the SE in the left Guan, as it corresponds to the liver's blood supply and nervous system in TCM. Takayama et al. reported a significant increase in blood flow through the superior mesenteric artery after acupuncture stimulation at ST36 [43]. Our study also found a significant elevation in DBP within the normal range after the acupuncture. A future study may be warranted to investigate the effect of blood flow in the hepatic artery during stimulation of BL23, BL25, and BL40, to confirm the phenomenon observed in our study.

Secondary Outcome Measures: Pain Intensity and Physical
Flexibility. e results from our assessments of lumbar ranges of motion and pain intensity suggest that our secondary hypothesis holds true, that is, "reduced pain intensity and better physical movement can be reflected in the FTF and FPS-R tests after the acupuncture intervention." Generally, there were a significant reduction in pain intensity and improvement in the lumbar range of motion after acupuncture stimulation. is observation was also reported by Furlan et al., who found that acupuncture treatments provided a more effective functional improvement and pain relief than sham treatments or no treatment [44]. We observed a marked significant difference (p < 0.001) in Group 2 participants than in Group 1 participants, which suggests that BL23, BL25, and BL40 are effective for the treatment of dull, aching LBP. Studies have shown that the nociceptive pathways, including descending serotonergic and noradrenergic pathways, may be involved in the immediate analgesic effect of acupuncture on various types of pain [45]. More studies are needed to compare the analgesic effects of acupuncture on different types of pain.

Study Limitations and Solutions.
Although quasi-experimental research is more feasible than true experimental research as it requires less time and has fewer logistical constraints, there were several limitations in our study.
Because of the small sample size of this pilot study, the lack of random assignments in the quasi-experimental design may have presented a confounding bias that may limit the generalizability of the findings to a larger population. We therefore identified the threats to the validity of our findings in our experimental design to reduce the impact. For instance, we used the baseline assessments of the radial pulse and vital signs as a control to compare the stability of these parameters before the acupuncture intervention; the same acupuncturist applied a consistent acupuncture technique at the same acupoints in the treatment, and the acupuncturist was not informed of the type of LBP experienced by the study participants, in an attempt to avoid bias. Future studies with larger sample sizes and randomisation procedures are warranted to provide more conclusive results. We did not anticipate the outcome demonstrating how acupuncture differentially affects high-frequency SE in different types of LBP. Future research is warranted to compare treatment outcomes between healthy subjects and those with LBP. Another limitation was that no other pulse diagnostic device measures the SE 13-50 Hz besides the approved PPAS-96 and Huang-T1 Pulse Sphygmograph in Taiwan. erefore, we were not able to compare the outcomes with other devices. However, Huang-T1 Pulse Sphygmograph has been used in a few clinical studies [12,17,18], as well as in the Taiwanese hospitals and clinics; we therefore used this device in our preliminary study to assess the feasibility of the protocol design before proceeding with PPAS-96 Pulse Sphygmograph [1]. It will be beneficial to conduct future studies to compare and verify the SE measurements with other devices that will be available.

Conclusion
Our study provides novel information about the effects of acupuncture on the radial pulse SE in individuals with different types of LBP. Our findings suggest that the right Chi pulse is an effective indicator for assessing the effects of acupuncture intervention in individuals with fixed, distended, or sharp pain, whereas the left Guan pulse is a potentially useful diagnostic technique to determine acupuncture's effects in those with dull, aching pain. e acupoints BL23, BL25, and BL40 provide effective treatment for LBP. Individuals with dull, aching pain had a significant improvement in their lumbar ranges of motion, and they showed a noteworthy decrease in pain ratings after receiving acupuncture treatment.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare that there are no conflicts of interest. framework of the Higher Education Sprout Project by the Ministry of Education in Taiwan (grant number CMRC-CHM-0). e authors would also like to thank the support of CMUH for the use of its facilities and all the participants for their collaboration.