## Introduction

Dopaminergic medication is the most common treatment for people with Parkinson’s disease. It is highly effective in improving Parkinson’s disease-related symptoms such as bradykinesia, rigidity, and tremor, as has been shown, for example, with the unified Parkinson’s disease rating scale (UPDRS), its revised version (MDS-UPDRS), and other established clinical scales1,2,3,4.

However, contradicting results were found concerning the effect of dopaminergic medication on gait deficits associated with Parkinson’s disease. Only gait speed, stride length, and stride velocity have consistently shown an increase with medication in multiple studies with different disease severities2,5,6, study protocols2,7,8,9,10, and measurement equipments2,5,8,10,11,12,13. The effects of dopaminergic medication on other gait parameters are not entirely clear. For example, although one relatively large study found an increased cadence (steps per minute) with dopaminergic medication5, four others—with comparable cohort characteristics—did not7,8,10,13. One study found a decrease instance time11 but another study—again with comparable cohort characteristics—did not5. Contradicting results were also found for double limb support (for example, one study found no significant change5, where other studies found a decrease with medication10,11,14) and gait variability (three studies found no significant change8,11,15, four studies found a decrease with medication8,9,13,15). Similarly, there are contradicting results concerning the effect of dopaminergic medication on arm swing parameters in Parkinson’s disease. For example, arm swing asymmetry only decreased with medication in one16 but not in another study5.

Brain activity differs with the complexity of walking tasks and with neurological pathologies17. We therefore hypothesize that at least some of the above-mentioned contradicting results may be explained by differences in the context where the respective walking task is performed. This hypothesis is, at least indirectly, supported by studies that found an effect of task complexity on the effect of medication on certain gait parameters (e.g., gait speed18 and stride time variability19). Moreover, two studies reported a change in the difference of walking parameters between Parkinson’s disease and controls, depending on the walking paradigm (between preferred and fast walking condition: gait speed, swing velocity, step time, and swing time; between preferred and dual-task condition: stride length and percentage swing time20,21). These differences in the response of mobility patterns to different stimuli and demands could have highly relevant implications for Parkinson’s disease treatment and counselling, as human behavior depends on the use of highly diverse mobility strategies22.

We therefore measured in this study the effect of dopaminergic medication on a specific movement, i.e., arm swing, during preferred, fast and dual-task walking. We then compared the delta of medication ON minus OFF, of different arm swing parameters between the different walking conditions. We chose arm swing because arm swing (i) is relatively easy and very reliable to measure23, (ii) is influenced by cognitive dual-tasks24,25,26 that occur regularly in daily life, (iii) is influenced by Parkinson’s disease (smaller arm swing amplitudes and more asymmetry compared to controls)27,28,29, and (iv) is influenced by dopaminergic medication. For example, arm swing amplitude and angular velocity increase with medication5,16,30.

## Results

### Changes in arm swing with dopaminergic medication

Demographics and task performance of the included Parkinson’s disease patients are provided in Tables 1 and 2.

The following changes of arm swing parameters due to dopaminergic medication were significant (see also Fig. 1 and Supplementary Table 1). Main amplitude and peak angular velocity increased with medication in the preferred and fast walking condition, but not in the dual-task condition. Amplitude asymmetry decreased with medication in the preferred and dual-task conditions, but not at fast speed. Arm swing coordination only increased in the fast walking condition. Regularity improved with medication only in the preferred condition. The sideways amplitude decreased with medication during the preferred and fast walking condition, but increased during the dual-task condition.

### Cognitive performance

Cognitive performance as measured with subtractions per minute improved with medication during the single-task (P = 0.012), but not during the dual-task. The responsiveness to dopaminergic medication was significantly different between the single-task and dual-task (P = 0.005; Fig. 2). Moreover, cognitive dual-task costs were significantly different per medication state (P = 0.027), −29 % in OFF state and −12 % in ON state.

### Responsiveness of arm swing to dopaminergic medication

The degree of responsiveness of respective arm swing parameters to dopaminergic medication are shown in Fig. 2 for the 33 participants with a complete dataset. At preferred speed, the responsiveness to dopaminergic medication was moderate for amplitude asymmetry and small for all other arm swing parameters. At fast speed, the responsiveness to medication was large for main amplitude, peak angular velocity, coordination, and sideways amplitude (decrease), small for amplitude asymmetry, and negligible for regularity. The responsiveness to medication was small for the cognitive single-task. In the dual-task condition, the responsiveness to dopaminergic medication was moderate for amplitude asymmetry and sideways amplitude (increase), small for regularity, coordination, and cognitive performance, and negligible for main amplitude and peak angular velocity.

The following responses of arm swing parameters to dopaminergic medication were significantly different across the different walking conditions in Parkinson’s disease (special characters in Fig. 2 and Supplementary Table 2): In the fast walking condition, main amplitude, peak angular velocity, coordination, and sideways amplitude were significantly more responsive (i.e., better) and asymmetry was significantly less responsive (i.e., worse) than in the preferred walking condition. Regularity was not significantly different between these two conditions. In the dual-task walking condition, main amplitude, regularity, and sideways amplitude were significantly less responsive (i.e., worse) than in the preferred walking condition. Peak angular velocity, amplitude asymmetry and coordination were not significantly different between these two conditions. In the dual-task walking condition, amplitude asymmetry was significantly more responsive (i.e., better) and main amplitude, peak angular velocity, coordination, sideways amplitude, and cognitive performance were significantly less responsive (i.e., worse) than in the fast walking condition. Regularity was not significantly different between these two conditions.

### Correlations with the medication-induced changes in arm swing

Almost none of the ON-OFF changes in arm swing parameters correlated with any ON-OFF changes of the MDS-UPDRS (part three total score and subscores). The only exceptions were sideways amplitude and MDS-UPDRS rigidity subscore during the preferred speed condition (P = 0.018), as well as coordination of arm swing and postural instability and gait disorder score (PIGD) during the dual-task walking condition (P = 0.027; Table 3). Several of the ON-OFF changes in the arm swing parameters correlated with the Levodopa equivalent daily dose (LEDD). At preferred speed, main amplitude, peak angular velocity and coordination correlated with LEDD (P = 0.005, P = 0.004, P = 0.015, respectively; Table 3). At fast speed, arm swing asymmetry correlated negatively with LEDD (P = 0.001). However, during the dual-tasking condition, none of the ON-OFF changes of the arm swing parameters correlated significantly with the LEDD.

## Discussion

This study shows that the effect of dopaminergic medication on arm swing is substantially influenced by the context in which patients with Parkinson’s disease walk. Arm swing during walking improved with dopaminergic medication at preferred walking speed, and it improved even more during fast walking at least for some parameters (main amplitude, peak angular velocity, coordination, and sideways amplitude). However, the responsiveness of dopaminergic medication on arm swing changed drastically by adding a cognitive dual-task to walking compared to preferred and fast walking only, respectively. In the dual-task walking condition, the responsiveness to dopaminergic medication was low for most arm swing parameters, and sideways amplitude got even worse. Only amplitude asymmetry improved, because the amplitude of the more affected arm increased, while the amplitude of the less affected arm decreased, reducing the difference between both arms (Supplementary Fig. 1). A different response to medication in the more and the less affected side was only seen for amplitude and peak angular velocity during the dual-task condition. We suggest that the talking out loud provides rhythmical stimulation that could have a positive effect on the coordination between both arms causing a more symmetrical arm swing pattern. The correlations between the change in arm swing parameters with dopaminergic medication and the LEDD support that the responsiveness to dopaminergic medication is influenced by the context. At preferred walking speed, three-arm swing parameters correlated with LEDD values, at fast speed only one and none during dual-tasking.

The changes in main arm swing amplitude, peak angular velocity, and coordination with medication at preferred speed corresponds with other studies investigating gait aspects in Parkinson’s disease5,16,30. In previous studies, looking at gait parameters, it has been seen that mainly the amplitude- and velocity-based measures (step length, gait velocity, step velocity) improved with medication at preferred speed, which is comparable to our results2,5,6,7,10. The reduction in arm swing asymmetry found in this study corresponded with one study16, but not with another which was probably due to the inclusion of patients with dyskinesia in that study5. Other studies also found effects of medication on gait parameters during more challenging (fast) walking conditions7,9. Concerning more complex walking paradigms contradicting results were found18,19. One study even found a larger reduction in stride time variability with medication during dual-tasking compared to single tasking19. Since gait speed significantly changed between medication states and single- and dual-tasking, these effects could very well be mediated by gait speed. This issue holds also true for studies investigating arm swing. To our knowledge, none of the currently available arm swing studies controlled their results for gait speed, although it is known that arm swing is influenced by this parameter24,31,32 and dopaminergic medication increases gait speed6,7,8,11. In this study, many significant Spearman’s correlations of arm swing parameters with gait speed were found, with values reaching up to 0.47 (asymmetry, fast speed) for patients with Parkinson’s disease in OFF medication state and up to 0.53 (main amplitude, dual tasking) for patients with Parkinson’s disease in ON medication state. We therefore recommend to perform this gait speed correction in future studies, otherwise, there may be a risk that gait speed-associated (and not disease state-associated) aspects are measured.

The cognitive performance increased with dopaminergic medication in the single-task condition, but not in the dual-task condition (Fig. 2). This effect was accompanied by significantly more pronounced subtraction task dual-task costs in the medication OFF state compared to the ON state. We interpret these results according to already existing literature33,34 in that way that, when patients with Parkinson’s disease perform a dual-task in OFF state, they prioritize the cognitive task. This prioritization of the cognitive task could have detrimental effects on the walking performance.

In the dual-task condition, the cognitive performance, as well as most arm swing parameters did not improve with dopaminergic medication. A possible explanation for this could be the “levodopa overdose hypothesis”35. Dopaminergic medication does not target one specific brain area19. For example, it affects the mesocorticolimbic pathway, which has a negative effect on cognitive function, including an executive function that is required to control gait in patients with Parkinson’s disease19,36,37. This could be a cause for the absent improvement in cognitive performance and most arm swing parameters.

None of the ON-OFF changes of arm swing parameters correlated significantly with respective changes of the total MDS-UPDRS III score. This observation strongly argues that arm swing is a movement that is largely independent of “classic” Parkinson’s disease symptoms. This is all the more remarkable as there was no effect observed in any of the three different walking conditions. If this observation can also be confirmed in larger independent studies and cohorts, and this effect is potentially also shown in free-living environments, arm swing parameters in Parkinson’s disease could be used as an easily and frequently detectable complementary sign for disease progression and treatment response in clinical routine and clinical trials. Moreover, there was a positive correlation between the rigidity subscore and sideways amplitude in the preferred walking speed condition (and somewhat less pronounced and not significant in the dual-task walking condition). Rigidity causes the absence or reduction of trunk rotations. Rotations of the thorax are known to contribute to arm swing46, therefore with decreased trunk rotations a smaller arm swing amplitude, in both main and sideways direction, was expected. This was, however, not the case for the sideways amplitude. It seems plausible that, due to rigidity, the trunk can contribute less to balance recovery during walking in PD. Consequently, sideways arm swing could serve as a compensatory movement to recover from balance perturbations. To determine whether the sideways amplitude is a parameter for (limitations of) dynamic balance, further research is required. The other significant (negative) correlation observed was between the PIGD items and arm swing coordination during dual-task walking. The postural instability and gait problems could cause a more unstable gait pattern and the arms might be used to compensate for any balance disturbances. Compensatory movements of the arms might negatively influence the timing between the left and right arm. The postural instability can especially be prominent during dual-tasking where patients prioritize the cognitive performance causing a decrease in postural stability according to the “posture second” strategy33. This significant negative correlation could speak for the usefulness of this parameter for determining the severity of (and therapy response to) PIGD symptoms, e.g., under everyday conditions39.

This study faces limitations. First, participants performed both OFF and ON assessments on the same day and always OFF before ON, therefore fatigue is a possible confounder in this study. However, all study participants were allowed to take breaks at any time during the individual task performance. Second, only patients with mild to moderate disease severity were included, which means that the results cannot be extrapolated to more advanced disease stages.

Taken together, this study shows that the responsiveness of dopaminergic medication on arm swing in people with Parkinson’s disease depends on the context and task complexity. These results should motivate more granular and extensive research in the area of task complexity-influenced responsiveness of mobility aspects to dopaminergic medication in Parkinson’s disease.

## Methods

### Participants

Forty-five patients with a diagnosis of Parkinson’s disease according to the UK Brain Bank Society Criteria47 and a Hoehn & Yahr stage between one and three (reflecting mild to moderate disease severity) were recruited at the University Hospital of Tübingen, Germany. Patients with an impaired range of motion of the shoulder due to trauma were excluded as well as patients with dyskinesia, because dyskinesia most probably has a significant and “uncontrollable” influence on gait parameters5.

The ethical committee of the Medical Faculty of the University of Tübingen approved this study (715/2011B02). All participants gave a written informed consent prior to testing according to the declaration of Helsinki.

### Data collection

Participants walked a 20 m walkway up and down for 1 min, under three conditions: (i) preferred speed (“Walk at your preferred walking speed”), (ii) fast speed (“Please walk as fast as you can, do not run, do not risk falling”), and (iii) fast speed in combination with a serial subtraction task started from a three-digit number (“Please walk as fast as you can, do not run, do not risk falling, and subtract serial sevens as fast as you can from the number I will shortly tell you”). This serial subtraction task was also separately performed as single-task. All participants performed the assessments first OFF medication (overnight withdrawal from dopaminergic medication) and 30 min to 2 h after medication intake (based on the participant’s feedback when they usually experience best ON) in ON medication condition. In both medication states the motor part of the MDS-UPDRS, part III, was assessed. The MDS-UPDRS part II was also assessed, but only assessed once. The dopaminergic medication the patients took was collected from the medical file to calculate the LEDD48. During the assessments, all participants wore an inertial measurement unit with tri-axial accelerometers, gyroscopes, and a magnetometer (128 Hz sample frequency; Opal APDM, Portland, USA) on each wrist and one on the lower back.

### Data processing

All completed straight walking phases of the 1 min walk were extracted (turns were discarded from the data with help of a turn detection algorithm validated for patients with Parkinson’s disease and healthy older adults49). The gait speed was calculated by dividing the 20 m walked distance by the time it took to walk those 20 m (based on the turn detection described above). The arm swing parameters from the straight walking phases were extracted with an arm swing algorithm validated for patients with Parkinson’s disease and healthy adults23. Arm swing was defined as “a rotational movement of the arm, occurring during walking and running in bipeds with a periodicity of around 1–2 Hz. The hand and arm move freely through space in opposite directions with most of the movement in the sagittal plane of the body frame”23. To omit false positives, only arm swings with an amplitude of at least five degrees were taken into account23. The first three and last three swings of the straight walking phases were excluded from the analysis so that only steady-state walking phases were considered.

The arm swing algorithm extracts information from both arms, which results in the following parameters (Table 4): main amplitude (amplitude in main swing direction), peak angular velocity, regularity, coordination, and asymmetry23. We also included in this analysis sideways amplitude, reflecting the amplitude of the movement during the swing in the direction orthogonal to the main swing direction (movements around the longitudinal axis are not taken into account). Sideways arm swing could be a compensatory movement to get the center of mass back above the base of support. This movement therefore may reflect, as a measure of dynamic postural stability, correction, or adaptation movements during walking50. The parameter was calculated from the second component of the principal component analysis23. The dual-task costs for the cognitive serial subtraction task were calculated for both medication states34.

### Statistical analysis

Since arm swing is affected by gait speed24,31,32, the parameters were corrected for this parameter using a linear regression between gait speed and each arm swing parameter per condition and per (medication) group. All parameters were corrected to their estimated value at 1 m/s. Wilcoxon signed-rank tests were used to analyse the effects of dopaminergic medication on the arm swing parameters. Tests were two-tailed with a significance level of 0.05.

To analyse the effect of medication on the cognitive performance during single-tasking and dual-tasking Wilcoxon signed-rank tests were performed. As well as for the effect of medication on the dual-task costs.

The standardized response mean (SRM) was calculated by dividing the average of the change ($$\bar x_{{{{{{\mathrm{change}}}}}}}$$) by the standard deviation of the change in a certain parameter:

$$\bar x_{change} = \frac{1}{N}\mathop {\sum}\limits_{i = 1}^N {\left( {x_{i,{{{{{\mathrm{on}}}}}}} - x_{i,{{{{{\mathrm{off}}}}}}}} \right)}$$
(1)
$$SRM = \frac{{\bar x_{change}}}{{\sqrt {\frac{1}{{N - 1}}\mathop {\sum}\nolimits_{i = 1}^N {\left| {\left( {x_{i,{{{{{\mathrm{on}}}}}}} - x_{i,{{{{{\mathrm{off}}}}}}}} \right) - \bar x_{{{{{{\mathrm{change}}}}}}}} \right|^2} } }}$$
(2)

N represents the amount of participants and xi the arm swing parameter of each participant in ON or OFF state, with 0.20 ≤ SRM < 0.50 representing a small, 0.50 ≤ SRM < 0.80 a moderate and SRM ≥ 0.80 a large responsiveness to dopaminergic medication5.

The significances of dopaminergic medication effects between the three walking conditions were analysed with a repeated measures ANOVA. A Greenhouse-Geisser correction was performed when the assumption of sphericity was violated. P < 0.05 was considered significant. Post hoc testing was performed with Bonferroni corrections to control for type 1 errors.

Spearman correlations were performed to test associations between ON-OFF effects of arm swing parameters and clinical scores (total MDS-UPDRS III, and MDS-UPDRS subscores: bradykinesia (items 3.4, 3.5, 3.6, 3.851), rigidity (item 3.3), tremor (items 2.10, 3.15, 3.16, 3.17, 3.1852), and PIGD (items 2.12, 2.13, 3.10, 3.11, 3.1253), and LEDD. Significance of these exploratory analyses was considered when P < 0.05.

### Reporting Summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.