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Review

How does diurnal intermittent fasting impact sleep, daytime sleepiness, and markers of the biological clock? Current insights

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Pages 439-452 | Published online: 07 Dec 2018

Abstract

Mealtimes and feeding schedules may interfere with the circadian system and impact sleep. The practice of intermittent fasting (IF) in its different formats is increasing worldwide. However, most studies addressing the effect of IF on circadian rhythms, daytime sleepiness, and sleep architecture have been conducted during diurnal IF for Ramadan. In this article, we analyze the effect of diurnal IF on the circadian clock, sleep, and daytime sleepiness. In free-living, unconstrained environments that do not control for lifestyle changes such as sleep/wake schedules, sleep duration, and light exposure, studies have demonstrated sudden and significant delays in bedtime and wake time during diurnal intermittent fasting for Ramadan. However, subsequent studies that accounted for lifestyle factors and sleep/wake patterns have reported no changes in markers of the biological clock, daytime sleepiness, or sleep parameters. Nevertheless, several researchers have demonstrated a reduction in the proportion of rapid eye movement stage sleep as the significant alteration in sleep architecture during fasting.

Introduction

Fasting, mealtime, and sleep may interact and impact the circadian rhythm of various body organs and cells when food is not consumed at a suitable time relative to the timing of the circadian clock of the body.Citation1,Citation2 Intermittent fasting (IF), in which one voluntarily refrains from food intake for specific times, is an old tradition that is implemented in different practices by various societies around the world.Citation3,Citation4 Several religions practice periods of fasting in their rituals, including Islam, Christianity, Judaism, Hinduism, and Buddhism.Citation5 Recently, IF practice has become popular, and there has been great attention to the physiological and metabolic consequences of IF among researchers.Citation1

IF is different from caloric restriction (CR), in which caloric intake is lowered for long periods by 20%–40% but meal frequency is preserved.Citation6 Several types of IF have been described in the literature, including complete fasting every other day,Citation7 significant CR every other day,Citation8 eating only a small amount of calories (500–700) 2 consecutive days/week,Citation9 “time-restricted feeding,” where food intake is restricted to a specified time daily,Citation10 fasting 1 or 2 days per week and allowing 5–6 days ad libitum ingestion of food, and the spiritual diurnal IF practiced during Ramadan, in which there is total abstinence from food and drink during daytime (dawn to dusk).Citation11,Citation12

Most of the previous studies on experimental IF have assessed its effect on metabolic and cardiovascular risks.Citation1 Most studies addressing the impact of IF on sleep and circadian rhythm have been conducted during diurnal IF for Ramadan. Therefore, in this article, we address the impact of diurnal IF on some markers of the circadian clock, sleep parameters, and daytime sleepiness.

IF for Ramadan

Diurnal IF for Ramadan is distinct from other forms of experimentally studied fasting for several reasons; therefore, it needs to be treated as a separate entity. Ramadan fasting comprises diurnal IF from dawn to sunset, where participants refrain from eating and drinking during the specified period. Ramadan is a month of the Arabic (Hijri) year and hence follows the lunar system. This implies that Ramadan comes during a different season every 9 years, which could affect the duration of daytime and hence fasting duration, where daytime is longer during the summer than in the winter.Citation13

Moreover, diurnal IF is practiced for the full month of Ramadan; this long duration may permit greater adjustment to the fasting protocol than that typically occurs in other forms of experimental IF. Furthermore, several studies have shown that Ramadan is accompanied by lifestyle changes that may influence sleep and circadian rhythms ().

Figure 1 Lifestyle changes that accompany the month of Ramadan and that may affect sleep and circadian rhythms.

Figure 1 Lifestyle changes that accompany the month of Ramadan and that may affect sleep and circadian rhythms.

Review method

The literature search started on the May 1, 2018, with the following keywords: “sleep,” “sleep pattern,” “daytime sleepiness,” “polysomnography,” “sleep architecture,” “circadian rhythm,” “intermittent fasting,” and “Ramadan,” using PubMed (80 results), Clarivate (94 results), and Google Scholar (105 results). In addition, the reference lists of the identified articles were also searched for further references. The following inclusion criteria for human studies were used: children, men, and women were accepted as participants, and both randomized controlled trials and nonrandomized trials were accepted.

Impact of diurnal IF on the circadian rhythm

All cells of the human body have circadian clocks, which are generally classified into peripheral and central clocks based on their anatomical place. The central master clock is located in the suprachiasmatic nucleus (SCN) of the hypothalamus. On the other hand, the peripheral clocks are located in different organs and tissues.Citation14 Both central and peripheral clocks act to preserve the circadian rhythm of different tissue physiology via controlling “tissue-specific gene expression.”Citation14

With the aim of ensuring external synchrony between the body and the surrounding environment, besides internal synchrony and correct chronological alignment between the central and peripheral clocks, the timing of the body circadian system must be calibrated repeatedly.Citation14 The main entrainment factor (or “Zeitgeber”) for the SCN is light, while peripheral circadian clocks are affected by “neurohumoral modulation.”Citation15 Therefore, certain behaviors such as the timing of feeding and the timing of abstinence of food may affect the circadian rhythm.Citation1,Citation12,Citation16 Data that address the impact of IF on the circadian rhythm are limited, and most of those data address the impact of Ramadan diurnal IF on the circadian rhythm. However, current evidence shows that high caloric consumption can lead to alterations in “clock gene expression” in the SCN and other central nuclei.Citation17,Citation18 In addition, animal studies have shown that temporal food restriction and enforced meal times are powerful synchronizers for body clocks in peripheral tissues, while maintaining a fixed light–dark cycle exposure.Citation19 Moreover, it has been shown that mealtime schedules can trigger the activation of neural circadian clock genes in several species, which is assumed to be controlled by a “food-entrainable clock.”Citation2,Citation20

Almost all physiological systems in the body follow a circadian rhythm, which is reflected by measuring certain hormones and core body temperature.Citation21 During Ramadan diurnal IF, 2–3 meals are taken after sunset: breakfast (a light meal) is taken at sunset, dinner is taken following night prayer in some countries (~1–3 hour after sunset), and a “predawn meal” (Suhur), which means that food consumption, is moved to the hours of darkness. This food intake shift partly inverts the normal circadian pattern of food intake. In theory, this shift in mealtime may disrupt the circadian rhythm and biological clock of fasting participants.Citation12

Subjective assessment of chronotype

One study assessed chronotypes using an abridged version of the Horne and Ostberg questionnaire in fasting and nonfasting individuals during Ramadan diurnal IF in a “free-living environment” to define three behavioral groups: morning-type, evening-type, and neither-type.Citation22,Citation23 Interestingly, the study reported an increase in the evening chronotype among the performers of fasting at both the beginning and the end of Ramadan month compared with baseline. Similarly, an increase in evening chronotype was also reported in nonfasting people during Ramadan, which advocates that lifestyle changes other than fasting may influence the circadian rhythm during Ramadan.Citation23 This result strengthens the hypothesis that lifestyle changes accompanying Ramadan may affect circadian rhythms.

Effects of diurnal IF on body temperature

Core body temperature increases during the day and decreases at night. Sleep onset is accompanied by a decrease in core body temperature, whereas an increase in core body temperature initiates the wakefulness process.Citation21 Studies that assessed changes in core body temperature during Ramadan diurnal IF have reported conflicting results (). In general, studies that assessed the circadian rhythm during Ramadan diurnal intermittent fasting can be divided into two categories: category 1 encompasses studies that examined the changes in some markers of the circadian clock in an unconstrained “free-living environment” without controlling for confounders and lifestyle changes such as meal composition, caloric intake, total sleep time, energy expenditure, or light exposure,Citation24Citation27 and category 2 encompasses studies that controlled for the above confounders.Citation28Citation30

Table 1 A summary of the studies that objectively assessed changes in the circadian pattern of body temperature during diurnal intermittent fasting for Ramadan

Twenty-four-hour continuous monitoring of rectal temperature in six healthy volunteers during Ramadan revealed delays in both the “bathyphase” and the “acrophase” of body temperature (ie, the times at which the calculated minimum and maximum values of body temperature occur, respectively).Citation25 One more study reported that the circadian rhythm of body temperature was reversed during Ramadan diurnal IF, with significant decreases in oral temperature at the following times: 09:00, 11:00, 13:00, and 16:00, and considerable increases in temperature at 23:00 and 00:00 hours.Citation26 Conversely, a third paper that assessed the oral temperature of volunteers during the first and third weeks of Ramadan at 08:00, 16:00, and 00:00 using a “high-precision” thermometer while controlling for the composition of meals and sleep duration reported no changes in body temperature.Citation30 The above studies did not control for most of the lifestyle changes discussed earlier that may impact the circadian rhythm regardless of fasting. To assess the potential effects of lifestyle changes that accompany Ramadan, a well-designed study recruited young adults with “delayed sleep phase disorder” (evening chronotype) who used to sleep during the daytime and wake up and eat at night.Citation24 In an unconstrained, free-living environment, the investigators use a portable armband physiological and activity sensor to measure circadian alterations in proximal skin temperature and energy expenditure before Ramadan and during the first 2 weeks of Ramadan.Citation24 Interestingly, the study revealed a further delay in the “acrophase” of proximal skin temperature and energy expenditure denoting a shift in the circadian pattern. The findings of this study support the hypothesis that factors other than the sudden shift in mealtimes may influence sleep patterns and circadian rhythms during Ramadan.Citation24 summarizes the studies that have examined the circadian rhythm of body temperature during diurnal IF for Ramadan.

Effects of diurnal IF on melatonin and other hormones

Melatonin is a useful marker of circadian rhythm because it is highly precise and accurate.Citation26,Citation31,Citation32 Therefore, proper measurement of melatonin level is an excellent method to examine the impact of diurnal IF on the circadian rhythm. One study assessed the blood levels of melatonin every 4 hours (not including the 02:00 time point measurement to avoid sleep disruption) before and at the end of the third week of Ramadan.Citation27 The study revealed a reduced, delayed night peak and a flattened slope in serum melatonin concentrations during Ramadan.Citation27 Another study, which measured the salivary melatonin levels of eight healthy volunteers (who performed diurnal IF) over a 24 hours period (08:00, 16:00, and 00:00) at three time points – 1 week before Ramadan and at the end of the first and third weeks of Ramadan – while controlling for total sleep time, revealed a statistically significant fall in melatonin concentrations at 00:00 and 16:00 during Ramadan compared to baseline levels.Citation30 Although the study reported comparable trends in melatonin circadian pattern during Ramadan and at baseline, the slope was flatter in the former case.Citation30 However, the above studies failed to measure melatonin late at night, neglecting the possibility of a late-night peak in melatonin concentrations.

None of the above studies accounted for potential confounders that may accompany Ramadan and affect the measured melatonin levels. In a subsequent study, we attempted to overcome those limitations by assessing circadian profiles of serum melatonin during diurnal IF outside Ramadan (to assess the impact of diurnal IF act in the absence of the lifestyle changes associated with Ramadan) and during the second week of Ramadan while controlling for light exposure, sleep pattern, total sleep time, and meal composition.Citation28 In eight healthy volunteers, serum melatonin was measured at five time points (22:00, 02:00, 04:00, 06:00, and 11:00) three times: 4 weeks before Ramadan where volunteers were asked to perform diurnal IF (fasting outside the month of Ramadan) for 1 week, 1 week before Ramadan during which volunteers were not fasting and living a routine life, and during the second week of Ramadan while performing diurnal IF. The trough in melatonin levels occurred 11:00 during the three studied periods, which shows that diurnal IF has no significant effect on the circadian rhythm of melatonin when other confounders are accounted for. In addition, a cosinor analysis of melatonin levels showed no significant changes in the “acrophase.”Citation28 Therefore, the previously reported changes in melatonin levels during Ramadan could be related to the lifestyle changes that accompany Ramadan. Nonetheless, more studies with larger sample sizes are required to evaluate the effects of diurnal IF on melatonin levels and circadian patterns. summarizes the studies that have objectively addressed changes in the circadian pattern of melatonin during diurnal IF for Ramadan.Citation27,Citation28,Citation30

Table 2 A summary of the studies that objectively assessed changes in melatonin during diurnal intermittent fasting for Ramadan

Most studies assessing melatonin levels during diurnal IF have consistently reported a reduction in measured melatonin levels, even during short-term experimental fasting.Citation30 Several theories have been suggested to understand the decrease in melatonin levels during fasting. The nocturnal increase in cortisol levels during Ramadan is a possible mechanism.Citation33,Citation34 In addition, it has been proposed that a decrease in the glucose supply during fasting may result in a decrease in melatonin synthesis,Citation35 as it has been shown in rats that mild hypoglycemia decreases melatonin levels, and administration of glucose improves the decrease in melatonin levels.Citation36 However, previous studies have shown that hypoglycemia does not happen in healthy individuals during diurnal IF.Citation37 Reduction in tryptophan had been proposed as a possible mechanism of the reduction in melatonin levels during Ramadan diurnal IF, as tryptophan is essential for melatonin synthesis. Nevertheless, this proposed mechanism is improbable because short duration diurnal IF is not likely to cause a reduction in tryptophan.Citation36

Both leptin and ghrelin hormones are influenced by fasting, mealtime, and sleep. Hence, the abrupt shift in mealtime during diurnal IF for Ramadan may entrain the circadian rhythms of both hormones.

Two previous studies have examined the impact of diurnal IF on the circadian patterns of leptin using a cosinor analysis. The first study was conducted on free-living participants and revealed a major shift (~5 hours) in the peak and nadir serum leptin concentrations in the third week of Ramadan.Citation38 However, the amplitude and 24 hours mean concentrations of leptin levels revealed no significant changes compared to the levels before Ramadan. Another study reported a significant decrease in plasma leptin concentration at 22:00; however, a cosinor analysis demonstrated no significant changes in the circadian rhythm of leptin.Citation29 The sudden change in mealtime during Ramadan may explain the nocturnal decrease in plasma leptin levels. The difference between the findings of the two studies could be explained by the fact that the second study controlled for lifestyle changes and environmental conditions, while the first study did not, which might have resulted in a delay in the circadian rhythm of leptin in the first study.

So far, only one study has evaluated circadian rhythm of ghrelin during Ramadan diurnal IF while controlling for eating habits and environmental conditions.Citation29 A cosinor analysis revealed no significant changes in the “acrophase” of the circadian rhythm of ghrelin.Citation29

In summary, the above-reviewed studies suggest that during Ramadan diurnal IF, there is a delay in the circadian clock. However, when eating habits and environmental conditions are accounted for, diurnal IF does not significantly affect the circadian rhythm of body temperature and melatonin.

Effects of diurnal IF on sleep

Subjective assessment of sleep

When assessing the influences of diurnal IF during Ramadan on sleep, it is essential to consider the accompanying lifestyle changes during the holy month. For example, in some Muslim countries, the beginning of work is delayed and work duration is shortened during Ramadan. Some of the earlier studies that assessed sleep patterns during Ramadan used sleep diaries and self-reported data. Studies that assessed sleep/wake pattern in three Muslim countries revealed a significant sudden delay in bedtime and wake time during Ramadan in performers of diurnal IF.Citation21,Citation23,Citation30,Citation39,Citation40

Interestingly, one study demonstrated bedtime delay during Ramadan even in nonfasting subjects.Citation23 This documented delay in bedtime and rise time reflects the delay in the start of work during Ramadan.

With regard to sleep duration, conflicting results were reported during Ramadan. Whereas some studies reported a reduction of sleep duration during Ramadan,Citation39Citation41 others reported no significant alterations in nighttime sleep duration during Ramadan.Citation21,Citation23 Nevertheless, in a study that assessed sleep duration objectively using actigraphy in eight fasting (diurnal IF) and eight nonfasting volunteers in a free-living environment during Ramadan, bedtime and wake time were delayed in the fasting volunteers, and a significant reduction in total sleep time was observed in the fasting group.Citation42

The discrepancies between the above studies may reflect cultural and lifestyle variations among countries or the use of different subjective assessment tools.Citation12,Citation13

Objective assessment of sleep

Sleep architecture

A few studies have objectively measured sleep parameters during the month of Ramadan among volunteers practicing diurnal IF using in-laboratory polysomnography and home-based ambulatory unattended polysomnography.Citation25,Citation30,Citation43,Citation44 summarizes the studies that have evaluated sleep architecture using polysomnography during Ramadan diurnal IF. In studies that controlled for sleep/wake pattern, diurnal IF had no effect on nonrapid eye movement sleep stages, stage shifts, arousal index, or measured cardiorespiratory parameters.Citation25,Citation30,Citation44 One study objectively assessed sleep among young athletes and revealed no changes in total sleep time during Ramadan diurnal IF; however, the study reported a significant increase in the number of awakenings.Citation43 Nevertheless, a major limitation of the last study is the fact that the study athletes suddenly changed their primary sleep time from night to daytime, and the study did not account for naps. Therefore, the abrupt changes in bedtime and rise time may have accounted for the observed changes in sleep architecture.Citation17,Citation45

Table 3 A summary of the studies that assessed sleep architecture using polysomnography during diurnal intermittent fasting for Ramadan

A recent study controlled for the lifestyle changes associated with Ramadan, such as sleep/wake pattern, caloric consumption, meal composition, and light exposure to eliminate variables other than meal timing that might affect sleep architecture; it objectively assessed sleep architecture at baseline, during diurnal IF outside Ramadan, during Ramadan, and during a nonfasting period after Ramadan.Citation44 Rapid eye movement (REM) sleep proportion decreased while fasting during and outside Ramadan compared with the baseline; however, the proportion of REM sleep reverted to normal during recovery (after Ramadan).Citation44 Three other studies reported a reduction in REM sleep during Ramadan.Citation25,Citation30,Citation43 In agreement with the above, studies that assessed the effect of experimental fasting on animals reported similar changes in sleep architecture.Citation46 REM sleep disappeared in piglets following 18 hours of fasting, which reverted to normal after feeding.Citation46

Several hypotheses have been proposed to account for the decrease in REM sleep during fasting; however, the precise mechanisms are unknown.Citation12 In addition, the clinical consequences of reduced REM sleep during fasting are unknown. Proposed theories to understand the decrease in REM sleep during fasting include the documented nocturnal rise in cortisol and insulin,Citation47,Citation48 and the possible increase in nocturnal body temperature as a result of eating exclusively at night during diurnal IF.Citation25,Citation26 Increased nocturnal temperature could result in a reduction in REM sleep proportion.Citation49,Citation50 Another proposed mechanism is the interruption of sleep in the early morning (predawn) for the predawn meal (Suhur), which is the period in which the major fraction of REM sleep usually occurs.Citation30

Sleep latency

With regard to sleep latency during Ramadan IF, studies have reported conflicting results. Roky et al showed a significant increase in sleep latency and a significant reduction in nocturnal sleep time.Citation25 However, in that study, dinner was served 30 minutes before going to bed; the short time between dinner and bedtime could have affected sleep latency. Later studies that provided dinner at an earlier time (3–3.5 hours before bedtime) and controlled daytime naps revealed no change in sleep latency.Citation13,Citation30,Citation44

The above-reviewed studies suggest that when dinner is provided early and daytime naps are controlled for, diurnal IF does not have major influence in sleep architecture. The only change in sleep architecture consistently reported is the reduction in REM sleep.Citation44 However, in a free-living environment that does not control for confounders that usually accompany Ramadan such as mealtimes or the daytime naps, sleep latency and sleep architecture may be disturbed.Citation43

Daytime sleepiness

A discussion of the effect of diurnal IF on sleep would not be complete without reviewing the impact of daytime fasting on daytime sleepiness. Several studies have assessed the interaction between daytime sleepiness and diurnal IF during Ramadan both subjectivelyCitation21,Citation23,Citation30,Citation39,Citation40,Citation42,Citation44,Citation51 and objectively.Citation30,Citation44,Citation51 However, these studies reported conflicting results, which may reflect the differences in the used assessment tools, the lack of objective assessment or the failure to control for potential confounders that could impact daytime alertness. summarizes the studies that have assessed daytime sleepiness during diurnal IF in Ramadan.

Table 4 A summary of the studies that assessed daytime sleepiness and daytime alertness during diurnal intermittent fasting for Ramadan

Subjective assessment

Studies that used the Epworth Sleepiness Scale (ESS) score to assess daytime sleepiness reported conflicting results. Some studies reported a significant increase in daytime sleepiness,Citation21,Citation40 whereas other studies demonstrated no significant changes.Citation23,Citation30,Citation39,Citation52

Objective assessment

In three studies, daytime sleepiness was measured objectively using the multiple sleep latency test (MSLT) under controlled conditions.Citation30,Citation44,Citation51 The first study demonstrated an increase in daytime sleepiness at the 10:00 and 12:00 naps in the last week of Ramadan.Citation51 However, the study used an unattended polysomnography recording device, which necessitated the end of the test 20 minutes after the beginning of recording regardless of sleep onset.

To avert the above shortcomings, a subsequent study used a standard attended MSLT.Citation30 This study measured sleep latency, sleep onset latency, or wake efficiency on the first and third weeks of Ramadan and reported no changes compared with baseline measurements.Citation30 Furthermore, spectral analysis of electroencephalography waves during each nap revealed no difference between Ramadan and baseline.Citation30 However, the previous studies did not control for the possibility of sleep deprivation on the nights prior to assessing sleep and daytime sleepiness. A recent study aimed to objectively assess the impact of diurnal IF during Ramadan on daytime sleepiness in eight healthy subjects while providing a fixed sleep–wake schedule, fixed caloric intake, controlled light exposure, and objective monitoring of sleep duration for several nights before the assessment of daytime sleepiness.Citation44 The assessment was performed on four occasions using attended MSLT and the ESS. During the first visit (adaptation night), wrist actigraphy was provided before the start of the study to monitor sleep pattern while at home to ensure that they had a fixed sleep–wake pattern. In subsequent visits, daytime sleepiness was measured using MSLT and ESS in the following order: 21 days before Ramadan after 1 week of diurnal IF “baseline fasting,” 7 days before Ramadan “nonfasting baseline,” on the 24th day of Ramadan, and 14 days after Ramadan “recovery.” The study revealed no changes in the ESS across the four study times. In addition, the MSLT measurements revealed no differences in sleep latency among the “nonfasting baseline,” “baseline fasting,” “Ramadan,” and “recovery” time points.

Another study assessed the impact of diurnal IF during Ramadan on drowsiness under controlled conditions with a fixed light/dark exposure, caloric intake, sleep/wake schedule and sleep duration via measuring total blink duration (measured using infrared reflectance (IR) oculography) and the mean reaction time (MRT).Citation61 The results of this study showed that diurnal intermittent fasting had no impact on drowsiness or vigilance.Citation61

CR has been reported to enhance alertness and to upregulate orexin gene expression in animal models.Citation53,Citation54 It has been proposed that mammals, when exposed to a negative energy balance, respond with enhanced alertness to improve their capability to find food.Citation55,Citation56 It has also been shown in animals that orexin (an excitatory neurotransmitter) neurons are important for this adaptive response during fasting.Citation56,Citation57 Moreover, orexin neurons interact closely with the “hypothalamic–pituitary–adrenal” (HPA) axis,Citation58 and stimulation of the sympathetic and HPA tone secondary to fasting may further induce arousal through the orexin system.Citation59 Therefore, a recent study assessed the effects of diurnal IF during the month of Ramadan on plasma orexin while controlling for lifestyle changes that may accompany Ramadan, like sleep duration, bedtime and wake time, energy expenditure, light exposure, and food, in eight healthy young men.Citation60 The results showed that plasma orexin levels increased during the fasting hours.

Summary

The impact of diurnal IF on circadian rhythm, sleep, and daytime sleepiness is an exciting topic that deserves future research. Earlier studies have suggested that diurnal IF during Ramadan causes a delay in the circadian rhythm of core body temperature and hormonal secretion. However, more recent studies controlling for lifestyle changes that may influence circadian rhythm showed no effects of diurnal IF on the circadian rhythm.

In free-living, unconstrained environments that do not control for lifestyle changes, studies have revealed abrupt significant delays in bedtime and rise time. Nevertheless, studies that controlled for environmental conditions and sleep–wake pattern revealed no significant changes in sleep architecture, indicating that the earlier reported changes could be secondary to concomitant lifestyle changes rather than the fasting act per se. The only consistent change in all studies that assessed sleep architecture during diurnal IF is a decrease in the amount of REM sleep.

Although earlier subjective studies reported an increase in daytime sleepiness during diurnal IF, subsequent studies that controlled for confounding factors reported no changes.

Larger studies that control for potential confounding factors, such as environmental and cultural conditions (the delay in the start of work and school, light exposure, exercise, and meal composition), are warranted to assess the impact of diurnal IF on circadian rhythms, sleep, and daytime sleepiness.

Acknowledgments

This project was funded by the Strategic Technologies Program of the National Plan for Sciences and Technology and Innovation in the Kingdom of Saudi Arabia (MED511-02-08).

Disclosure

The authors report no conflicts of interest in this work.

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