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Kinematic features of rear-foot motion using anterior and posterior ankle-foot orthoses in stroke patients with hemiplegic gait

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Elsevier Editorial System(tm) for Archives of Physical Medicine and Rehabilitation Manuscript Draft

Manuscript Number: ARCHIVES-PMR-D-10-00494R1

Title: Kinematic features of rear-foot motion using anterior and posterior AFOs in stroke patients with hemiplegic gait

Article Type: Original Article

Keywords: Orthotic Devices; Stroke; Biomechanics; Gait Corresponding Author: Dr. Simon F.T. Tang,

Corresponding Author's Institution: First Author: Chih-Chi Chen

Order of Authors: Chih-Chi Chen; Wei-Hsien Hong; Chin-Man Wang; Chih-Kuang Chen; Katie Pei-Hsuan Wu; Chao-Fu Kang; Simon F.T. Tang

Abstract: Title: Kinematic features of rear-foot motion using anterior and posterior AFOs in stroke patients with hemiplegic gait

Running head: A-AFO and P-AFO use in hemiplegic gait Key Words: Orthotic devices, Stroke, Biomechanics, Gait.

Objective: To evaluate the kinematic features of rear-foot motion during gait in hemiplegic stroke patients, using anterior ankle foot orthoses (A-AFOs), posterior AFOs (P-AFOs), and no orthotic assistance.

Design: Crossover design with randomization for the interventions. Setting: A rehabilitation centre for adults with neurological disorders.

Participants: Fourteen patients with hemiplegia due to stroke and eleven able-bodied subjects. Interventions: Subjects with hemiplegia were measured walking under 3 conditions with randomized sequences: (1) with an A-AFO, (2) with a P-AFO, and (3) without an AFO. Control subjects were measured walking without AFO to provide a normative reference.

Main Outcome Measures: Rear-foot kinematic change in the sagittal, coronal, and transverse planes. Results: In the sagittal plane, as compared to walking with an A-AFO or without an AFO, the P-AFO significantly decreased plantarflexion to neutral at initial heel contact (P = 0.001) and the swing phase (P < 0.001), and increased dorsiflexion at the stance phase (P = 0.002). In the coronal plane, the A-AFO significantly increased maximal eversion to neutral (less inversion) at the stance phase (P = 0.025), and decreased the maximal inversion angle at the swing phase when compared with using no AFO (P = 0.005). The P-AFO also decreased the maximal inversion angle at the swing phase as compared to no

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AFO (P = 0.005). In the transverse plane, when compared with walking without an AFO, the A-AFO and P-AFO decreased the adduction angle significantly at initial heel contact (P = 0.004).

Conclusions: For post-stroke hemiplegic gait, the P-AFO was better than the A-AFO in enhancing rear-foot dorsiflexion during the whole gait cycle. The A-AFO was superior to the P-AFO in correcting excessive rear-foot inversion at the stance phase. Both the A-AFOs and P-AFOs helped correct an inverted foot at the swing phase.

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Dear Dr. Rodgers,

Thank you for your email telling me that the Editorial Board sees merit in my manuscript. Also I would like to thank Archives of PMR for finding two such outstanding and reasonable reviewers for me. Comments from the two reviewers were indeed very helpful. Revising the manuscript according to the comments from reviewers certainly made the manuscript more presentable.

We revised the manuscript as suggestion and focused on the areas as you pointed out, 1. Clarify comparison of kinematic variables between conditions, 2. Provide additional information about subjects and 3. Provide more description of the A-AFO.

The manuscript has been read by a native English speaker and edited for grammar errors. I hope you and the reviewers will like the revisions I have done. It will certainly be my greatest honor if this manuscript can be published in the renowned Archives of PMR.

Enclosed below you will find our replies to both reviews. We also made detailed comparison lists before and after revision for reviewers to easily review. Please allow us let one of our members as co-authors (Chao-Fu Kang, MD) because he helped a lot in revised this manuscript.

Thank you again. Please feel free to contact me at anytime if I can be of any further assistance. Take care!

Simon FT Tang

Professor and Program Director

Department of Physical Medicine and Rehabilitation, Chang Gung Memorial Hospital

5, Fu-Hsin ST., Kwei-Shan, Tao-Yuan County, 333, Taiwan Cover Letter

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1 Replies to Reviewer 1

As suggested by reviewer 1, we have checked all manuscript, clarified the comparisons

and modulate those confusing statements.

Methods: We have added a more detailed description about the A-AFO. We have also

corrected the typing errors about the P-AFO. We also added a description to explain why we

let subjects walking barefoot with AFO.

Results: A table is now constructed as suggested. The table clearly provides information

on the sex, age, time since stroke, involved side, Brunnstrom stage, muscle tone, use of

assistive device, and prior AFO use.

A detailed comparison list before and after revision for reviewer 1 is listed in the following

page.

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2 Comparison List for Reviewer 1

Suggestion 1:

The comparison of kinematic variables between conditions often is not clear. Often times, the variable is described as "increased" or decreased" , but it is not clear what the value is being compared to. Examples are: page 7, line114-115; 116-117; 119; p8 129-130, and abstract. These are specific examples but the authors should check and clarify all comparisons.

Reply: We have checked all manuscript and clarify the comparison as following:

Before Revision After revision

Abstract Results

At initial heel contact, the rear-foot showed increased dorsiflexion while wearing P-AFOs (P=0.001). During the stance phase, wearing the P-AFO increased the dorsiflexion angle more significantly than wearing the A-AFO or nothing (P=0.002). The A-AFO lessened inversion and increased the maximal eversion angle (P=0.025). During the swing phase, decreased maximal plantarflexion and an increased dorsiflexion angle were noted only wearing the P-AFO (P<0.001). With both the A-AFO and P-AFO, the inversion angle was significantly decreased as compared to wearing nothing (P=0.005).

Conclusions

A-AFOs were superior in correcting excessive rear-foot inversion, while P-AFOs had the advantage in enhancing rear-foot dorsiflexion. P-AFOs also helped correct an inverted foot at the swing phase.

Abstract Results

In the sagittal plane, as compared to walking with an A-AFO or without an AFO, the P-AFO significantly decreased plantarflexion to neutral at initial heel contact (P = 0.001) and the swing phase (P < 0.001), and increased dorsiflexion at the stance phase (P = 0.002). In the coronal plane, the A-AFO significantly increased maximal eversion to neutral (less inversion) at the stance phase (P = 0.025), and decreased the maximal inversion angle at the swing phase when compared with using no AFO (P = 0.005). The P-AFO also decreased the maximal inversion angle at the swing phase as compared to no AFO (P = 0.005). In the transverse plane, when compared with walking without an AFO, the A-AFO and P-AFO decreased the adduction angle significantly at initial heel contact (P = 0.004).

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3

Before Revision After revision

Abstract-Conclusions

A-AFOs were superior in correcting excessive rear-foot inversion, while P-AFOs had the advantage in enhancing rear-foot dorsiflexion. P-AFOs also helped correct an inverted foot at the swing phase.

Abstract-Conclusions

For post-stroke hemiplegic gait, the P-AFO was better than the A-AFO in enhancing rear-foot dorsiflexion during the whole gait cycle. The A-AFO was superior to the P-AFO in correcting excessive rear-foot inversion at the stance phase. Both the A-AFOs and P-AFOs helped correct an inverted foot at the swing phase.

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4

Before Revision After revision

Results (Page 7, line 114-119)

At initial heel contact, the rear-foot showed increased dorsiflexion while wearing P-AFOs. The subjects showed a trend in decreasing the inversion rear-foot angle after wearing A-AFOs, but it was not significant (P=0.064). Wearing the A-AFO and the P-AFO decreased the adduction angle significantly. During the stance phase, wearing the P-AFO increased the dorsiflexion angle more significantly than wearing the A-AFO or nothing. The A-AFO lessened inversion and increased the maximal eversion angle. There was no significant difference in the maximal abduction angle in any of the AFO trials. During the swing phase, decreased maximal plantarflexion and an increased dorsiflexion angle were noted only wearing the P-AFO. With both the A-AFO and P-AFO, the inversion angle was significantly decreased as compared to wearing nothing. No significant difference could be seen in the abduction and adduction angles with or without the A-AFO or P-AFO.

Results (page 8, line 136-146)

In the sagittal plane, as compared to walking with an A-AFO or without an AFO, the P-AFO significantly decreased plantarflexion to neutral at initial heel contact and the swing phase and increased dorsiflexion at the stance phase. In the coronal plane, the A-AFO significantly increased maximal eversion to neutral (less inversion) at the stance phase and decreased the maximal inversion angle at the swing phase when compared with not using an AFO. The P-AFO also decreased the maximal inversion angle at the swing phase when compared with not using an AFO. In the transverse plane, as compared to walking without an AFO, the A-AFO and P-AFO conditions decreased the adduction angle significantly at initial heel contact. There were no significant differences in maximal adduction and the maximal abduction angles among the three AFO conditions during the stance and swing phases respectively.

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5

Before Revision After revision

Discussion (p8 125-131)

Our aim in this study was to assess the kinematic characteristics of rear-foot joint change during gait in hemiplegic stroke patients using A-AFOs, P-AFOs, and no orthotic assistance. Previously, the choice of anterior or posterior AFO was often based on the practitioner’s experience and the patients’ preference. In both the stance and the swing phases, our results showed that A-AFOs were superior in correcting excessive rear-foot inversion, while P-AFOs had the advantage in enhancing rear-foot dorsiflexion. P-AFOs also helped correct an inverted foot at the swing phase.

Discussion ( p9 148-158)

The incidence of equinovarus foot in stabilized vascular hemiplegia was reported to be about 18%.17 The equinovarus foot shifts weight bearing from the heel to the lateral plantar surface, which can cause loss of balance and reduce walking safety. This condition also has a strong correlation to the presence of claw toes.18, 19 An AFO has often been prescribed to facilitate ankle control for the equinus and/or varus foot. This study investigated the kinematic change in rear-foot joint control during gait in hemiplegic stroke patients using A-AFOs, P-AFOs, and no AFO assistance. As compared to using no AFO, the A-AFO decreased rear-foot inversion at the stance and swing phases. The P-AFO increased rear-foot dorsiflexion during the whole gait cycle in comparison with the A-AFO and P-AFO. The P-AFO also decreased rear-foot inversion at the swing phase as compared to using no AFO.

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6 Suggestion 2:

In addition, in some locations, the comparison of the A-AFO to other conditions seems misleading. For example, the paper reads, 'our results showed that the A-AFOs were superior in correcting excessive rear foot inversion." (129-130; 171), but elsewhere (lines 134-136) the text indicates there were no differences in gait parameters between the brace conditions after statistical analysis.

Reply: We have clarified the comparison and modulate these confusing statements.

Before revision After revision

Discussion (line 134-136)

After wearing either A-AFOs or P-AFOs, we noted no significant difference in the gait parameters after statistical analysis.

Discussion (p10 line 161-162)

After wearing either A-AFOs or P-AFOs, we noted no significant difference in walking speed, step length and cycle time after statistical analysis.

Suggestion 3.

The paper correctly states in several locations that brace selection will be dependent upon the patient's motor control and gait patterns (i.e., line 198). However, the study does not adequately describe the clinical characteristics of the people with a history of stroke to allow interpretation of the results. The authors should provide additional information about subjects; for example, severity of deficits (some type of standardized measure), tone, use of assistive device, and prior AFO use.

Reply:

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7 Suggestion 4, The A-AFO will not be familiar to many readers, and although it has been described elsewhere in the literature, it should be described in greater detail here; ie, specific anatomical boundaries of trim line, rationale for design.

Reply: We have added a more detailed description about the A-AFO.

Before revision After revision

Method

Nil (not mentioned before revision)

Method (p4 48-58)

The A-AFO was made of a low temperature 3.2 mm thick thermoplastic material, Orfit.a A piece of thermoplastic was cut in the shape of a bottle cap opener (fig 1). The pretibial and ankle parts were padded with closed-cell foam, Kushionflex padding.b Subjects were asked to sit with their knee in a 90 degree flexion and their ankle in a neutral position. After softening the thermoplastic in a hot water tank (60°C), the anterior AFO was molded directly to the subject’s lower limb, with her or his foot going through the hole in the bottle cap opener section. The sole part was 6 cm in width, with its anterior trim line just behind the metatarsal heads. The foot and ankle portions were folded to form the medial and lateral bars. The upper part was molded onto the ankle and lower half of the tibia without covering the medial and lateral malleoli. Velcro strapsc were placed at the ankle level and upper part of the orthosis (see fig 2). Usually, we can make an A-AFO within half an hour.

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8 Suggestion 5, The paper states that P-AFO trim lines were anterior to both malleoli (line 55), but such a trim line seems quite restrictive and different from Fig 1. Please clarify.

Reply: We have corrected the typing errors and added more description about the P-AFO.

Before revision After revision

Method (p4 52-55)

The AFO extended distally under the toes and covered the mediolateral border of the foot. Proximally, it covered the posterior portion of the leg to 5 cm below the fibular head. The trim lines were anterior to both malleoli. Three straps crossed the anterior upper tibia, front of the ankle, and the mid-foot area (See fig 1).

Method (p4 59-67)

We used leaf-spring AFO in comparison with A-AFO not only because it is commonly used in clinical situations but it dose not cover malleoli, which is similar to the A-AFO. Each P-AFO was fabricated using polypropylene with the ankle in a neutral position. The footplate was cut to the metatarsal head. Proximally, it covered the posterior portion of the leg to 5 cm below the fibular head. The medial and lateral trim lines over the ankle were posterior to both malleoli. Three straps crossed the proximal end of shank, the front of the ankle, and the mid-foot area (see fig 2). We used three straps to hold the P-AFO instead of standard single strap at the upper shank because we let subjects walk barefoot with P-AFO without shoes assistance.

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9 Suggestion 6, Why did subjects walk barefoot with P-AFO? In America, walking barefoot with a P-AFO would be very unusual.

Reply: We added a description to explain why we let subjects walking barefoot with P-AFO.

Before revision After revision

Nil (not mentioned before revision) Method. ( P5 68-70)

The decision to analyze subjects walking barefoot with AFOs was based upon: (1) our need to know the real function of the AFO without the assistance of a shoe; and, (2) our interest in conforming to the custom in Asia countries of walking barefoot indoors.

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10 Replies to Reviewer 2

Introduction: As suggested by reviewer 2, we have added the suggested references to

expose the interest of AFOS.

Methods: We made a hole at P-AFO to allow calcaneal marker directly placed on the skin.

Thank you for reminding us to add the important description. We also added pictures to

clarify the marker position.

Results: We have corrected the typing error in table 3.

Discussions: Thank you for your kindly suggestion. We have added the references and a

discussion of risk of walking with equinovarus foot as your suggestion.

A detailed comparison list before and after revision for reviewer 2 is listed in the following

page.

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11 Comparison List for Reviewer 2

Reviewer 2 Suggestion 1. Introduction:

Previous pertinent literature: page2, line15 to 24: The following article is missing in the references to expose the interest of AFOS: Ann Readapt Med Phys. 2008 Apr;51(3):147-53. Epub 2008 Jan 7.[Assessment of the Chignon dynamic ankle-foot orthosis using instrumented gait analysis in hemiparetic adults]. Bleyenheuft C, Caty G, Lejeune T, Detrembleur C.

Reply: We have added the suggested references to expose the interest of AFOS.

Before revision After revision

Introduction (P2 19-22)

Several studies evaluated the effects of posterior AFOs (P-AFOs) on stroke patients and demonstrated improvement in gait parameters including stride length, gait velocity and cadence,4-6 gait stability,4 balance control,7 energy cost of walking,8 and functional status.5

Introduction (P2 19-22)

Several studies evaluated the effects of P-AFOs on stroke patients and demonstrated improvement in gait parameters including stride length, gait velocity and cadence,4-6 gait stability,4 balance control,7 energy cost of walking,8, 9 and functional status.5

Reference

9.Bleyenheuft C, Caty G, Lejeune T, Detrembleur C. Assessment of the Chignon dynamic ankle-foot orthosis using instrumented gait analysis in hemiparetic adults. Ann Readapt Med Phys 2008;51(3):154-60.

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12 Suggestion 2.

Methods : p5 line 63-65. it seems the posterior marker is placed on the p-AFO. In this condition, are the authors sure that the kinematic data show the mobility of the foot rather the mobility of the P-AFO. Please discuss this point.

Reply:

We made a hole at P-AFO to allow calcaneal marker directly placed on the skin. We have added the picture and statement in the methods.

Before revision After revision

Method –Equipment (p5 62-64)

A marker was placed on the midline of the calcaneal posterior process, and, with the subject standing, individual markers were also placed on the medial and lateral sides of the calcaneus in a plane parallel to the ground (fig 2).

Method –Equipment (p5 80-81)

We made one hole in each P-AFO to allow placement of the calcaneal markers directly onto the skin (fig 2).

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13 Suggestion 3.

P7 line 111 : the authors wrote that the stroke patients showed less maximal plantarflexion than the healthy control group, but the table 3 does not show that. Is there an error in the table 3?

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14 Suggestion 4. Discussion: P8 line126-132 : Since the main result is the importance of the varus-foot stabilization with A-AFO it could be interesting to discuss the incidence of varus equinus and value its consequences on gait (see references below): Claw toes in hemiplegic patients after stroke.Laurent G, Valentini F, Loiseau K, Hennebelle D, Robain G.Ann Phys Rehabil Med. 2010 Mar;53(2):77-85. Epub 2010 Jan 13. English, French. PMID: 20097630 [PubMed - indexed for MEDLINE]

Epidemiology of pes varus and/or equinus one year after a first cerebral hemisphere stroke: apropos of a cohort of 86 patients] Verdié C, Daviet JC, Borie MJ, Popielarz S, Munoz M, Salle JY, Rebeyrotte I, Dudognon P. Ann Readapt Med Phys. 2004 Mar;47(2):81-6.

Reply: We have added the references and a discussion of risk of walking with equinovarus foot.

Before revision After revision

Discussion (p8 126-132)

Nil (not mentioned before revision)

Discussion (p9 148-151)

The incidence of equinovarus foot in stabilized vascular hemiplegia was reported to be about 18%.17 The equinovarus foot shifts weight bearing from the heel to the lateral plantar surface, which can cause loss of balance and reduce walking safety. This condition also has a strong correlation to the presence of claw toes.18, 19

Reference

17. Verdie C, Daviet JC, Borie MJ, Popielarz S, Munoz M, Salle JY et al. [Epidemiology of pes varus and/or equinus one year after a first cerebral hemisphere stroke: apropos of a cohort of 86 patients]. Ann Readapt Med Phys 2004;47(2):81-6. 19. Laurent G, Valentini F, Loiseau K, Hennebelle D, Robain G. Claw toes in hemiplegic patients after stroke. Ann Phys Rehabil Med 2010;53(2):77-85.

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15 Suggestion 5. Moreover, since the A-AFO is superior in correcting excessive rear-foot inversion, a discussion of risk of walking with a varus-equinus foot could be interesting.

Reply:

Besides the discussion of altered rear-foot kinematics in hemiplegic gait and its consequences in altered gait pattern (p11 181-184). We have added a discussion of risk of walking with equinovarus foot as your suggestion.

Before revision After revision

Nil (not mentioned before revision) Discussion (p9 149-151)

The equinovarus foot shifts weight bearing from the heel to the lateral plantar surface, which can cause loss of balance and reduce walking safety. This condition also has a strong correlation to the presence of claw toes.18, 19

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1 Word counts for the main text: 2969, Word counts for Abstract: 333.

1

Title: Kinematic features of rear-foot motion using anterior and posterior AFOs in 2

stroke patients with hemiplegic gait 3

Names and affiliations of the authors: Chih-Chi Chen, MD1, Wei-Hsien Hong, PHD2, 4

Chin-Man Wang MD1,Chih-Kuang Chen, MD1, Katie Pei-Hsuan Wu, MD1 , Chao-Fu Kang, 5

MD1 & Simon F.T. Tang, MD1 6

From the 1. Department of Physical Medicine and Rehabilitation, Chang Gung Memorial 7

Hospital and Chang Gung University, Linkou and 2. School of Sports Medicine, China 8

Medical University, Taichung, Taiwan 9

Running head: A-AFO and P-AFO use in hemiplegic gait 10

Grant & Financial Support: National Science Council, Republic of China (Grant No. NSC 11

98-2119-M-009-019). 12

Financial Disclosure: We certify that no party having a direct interest in the results of the 13

research supporting this article has or will confer a benefit on us or on any organization with 14

which we are associated AND, if applicable, we certify that all financial and material 15

support for this research (eg, NIH or NHS grants) and work are clearly identified in the title 16

page of the manuscript. 17

Corresponding author: 18

Professor Simon F.T. Tang, MD 19

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2 Department of Physical Medicine & Rehabilitation

20

Chang Gung Memorial Hospital & Chang Gung University Taoyuan, Taiwan 21

5, Fu-Hsin St, Kwei-Shan, Tao-Yuan, 333, Taiwan 22 Tel: +886-3-328-1200 ext. 3846 23 Fax:+886-3-327-4850 24 E-mail: fttang@adm.cgmh.org.tw 25 bluegirl5477@yahoo.com.tw 26

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1 Title: Kinematic features of rear-foot motion using anterior and posterior AFOs in 1

stroke patients with hemiplegic gait 2

Running head: A-AFO and P-AFO use in hemiplegic gait 3

Key words: Orthotic Devices, Stroke, Biomechanics, Gait. 4

5

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2 Introduction

6

Stroke patients often have upper motor neuron syndrome with a resultant loss of strength 7

and dexterity, impaired motor control, increased spasticity, hyperreflexia, co-contraction, 8

and spastic dystonia in the affected limbs. These conditions result in inappropriate and 9

involuntary posturing and contribute to abnormal gait pattern and impaired walking ability.1 10

Clinically, we can identify more than one type of gait pattern across stroke patients, such as 11

the equinus and equinovarus gaits, indicating that people who have suffered strokes need to 12

use different strategies to achieve the goal of walking.2 13

AFOs are often prescribed to stroke patients and are designed to provide mediolateral 14

ankle stability during stance and adequate toe clearance during swing and to promote heel 15

strike.3 Conventional plastic AFOs have a posterior leaf-type design, and are fabricated by a 16

lamination or vacuum-forming technique over a positive plaster model of the limb.4 17

A-AFOs are low-temperature ankle foot orthoses commonly used in Asian countries for 18

convenience when walking indoors. Several studies evaluated the effects of P-AFOs on 19

stroke patients and demonstrated improvement in gait parameters including stride length, 20

gait velocity and cadence,4-6 gait stability,4 balance control,7 energy cost of walking,8, 9 and 21

functional status.5 Some studies evaluated the A-AFO function and suggested that A-AFOs 22

also work effectively for gait parameters,10 walking ability,11 and balance control12 in 23

hemiplegic stroke patients. 24

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3 Since ankle motor control in stroke patients is variable, and the designs of A-AFOs and 25

P-AFOs are different, we speculated that different post-stroke gait patterns could benefit 26

from different AFO types. We analyzed the shank-calcaneus rotation angle, as 27

representative of rear-foot movement, by means of a 3-dimensional motion analysis 28

system.13 To our knowledge, this is the first study to compare the kinematic changes in 29

rear-foot movement during gait in hemiplegic stroke patients using either A-AFOs or 30 P-AFOs. 31 Methods 32 Subjects 33

For this study, we recruited 14 stroke subjects with hemiplegia. The inclusion criteria for 34

the study group were as follows: (1) diagnosis of unilateral hemiplegia caused by either 35

hemorrhagic or ischemic stroke; (2) ability to follow simple verbal commands or 36

instructions; and, (3) ability to ambulate independently. Subjects were excluded if they had 37

any of the following conditions: (1) medical problems other than stroke that would interfere 38

with their gait; or, (2) foot-related premorbid or comorbid orthopedic problems. All patients 39

underwent neuroimaging studies, including computed tomography or magnetic resonance 40

imaging of the brain to confirm the diagnosis of stroke at an early stage. We also recruited 41

11 normal subjects, who had no known neurological and orthopedic impairments, to serve 42

as our control group. This study was approved by the local medical ethics and the human 43

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4 clinical trial committees (Chang Gung Memorial Hospital, Taiwan), and all participants 44

signed the informed consent. 45

AFO design 46

A-AFOs and P-AFOs for the study were custom-made for each subject by a certified 47

orthotist. Fabrication of an anterior AFO was well documented in our previous study.11 The 48

A-AFO was made of a low temperature 3.2 mm thick thermoplastic material, Orfit.a A 49

piece of thermoplastic was cut in the shape of a bottle cap opener (fig 1). The pretibial and 50

ankle parts were padded with closed-cell foam, Kushionflex padding.b Subjects were asked 51

to sit with their knee in a 90 degree flexion and their ankle in a neutral position. After 52

softening the thermoplastic in a hot water tank (60°C), the anterior AFO was molded 53

directly to the subject’s lower limb, with her or his foot going through the hole in the bottle 54

cap opener section. The sole part was 6 cm in width, with its anterior trim line just behind 55

the metatarsal heads. The foot and ankle portions were folded to form the medial and lateral 56

bars. The upper part was molded onto the ankle and lower half of the tibia without covering 57

the medial and lateral malleoli. Velcro strapsc were placed at the ankle level and upper part 58

of the orthosis (see fig 2). Usually, we can make an A-AFO within half an hour. 59

The P-AFO used in this study was the plastic leaf-spring AFO14. We used leaf-spring 60

AFO in comparison with A-AFO not only because it is commonly used in clinical situations 61

but it dose not cover malleoli, which is similar to the A-AFO. Each P-AFO was fabricated 62

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5 using polypropylene with the ankle in a neutral position. The footplate was cut to the 63

metatarsal head. Proximally, it covered the posterior portion of the leg to 5 cm below the 64

fibular head. The medial and lateral trim lines over the ankle were posterior to both malleoli. 65

Three straps crossed the proximal end of shank, the front of the ankle, and the mid-foot area 66

(see fig 2). We used three straps to hold the P-AFO instead of standard single strap at the 67

upper shank because we let subjects walk barefoot with P-AFO without shoes assistance. 68

The decision to analyze subjects walking barefoot with AFOs was based upon: (1) our need 69

to know the real function of the AFO without the assistance of a shoe; and, (2) our interest 70

in conforming to the custom in Asia countries of walking barefoot indoors. 71

Equipment 72

A Vicon motion analysis systemc was used to collect the kinematic data. The Vicon MS 73

system included 8 infrared cameras for acquiring, at a rate of 100Hz, the kinematic 74

trajectories of the reflective markers attached to the subject’s lower limbs. We placed 7 75

spherical retro-reflective markers (diameter 1.4 cm) directly on the subject’s affected-side 76

calcaneus and shank. Two markers were placed on the medial and lateral tibial condyles, 77

and 2 markers were also placed on the medial and lateral malleoli. A marker was placed on 78

the midline of the calcaneal posterior process, and, with the subject standing, individual 79

markers were also placed on the medial and lateral sides of the calcaneus in a plane parallel 80

to the ground. We made one hole in each P-AFO to allow placement of the calcaneal 81

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6 markers directly onto the skin (fig 2). Three-dimensional marker trajectories were used to 82

determine the rear-foot motion angles in the sagittal (dorsiflexion–plantarflexion), coronal 83

(inversion–eversion), and transverse (abduction–adduction) planes. 84

Data collection 85

We evaluated and recorded stroke participants’ motor recovery and ankle muscle tone 86

using a Brunnstrom stage15 and modified Ashworth Scale (MAS),16 respectively. All 87

subjects practiced walking with and without the orthosis before we performed the gait 88

analysis. Each subject was asked to stand still for one second to allow all of the cameras to 89

record the markers to analyze the subject’s initial anatomical position. Each subject was 90

then measured walking at a self-selected, comfortable speed in each of three orthotic trials 91

(barefoot without an AFO, with a P-AFO, and with an A-AFO) during the same session. 92

The order of the three trials was randomized. Subjects were allowed to rest for 5 minutes 93

between trials. The walkway was carpeted to avoid any discomfort when the subjects 94

walked barefoot without an AFO. To reduce measurement errors during gait analysis, data 95

were collected from three successful trials. The data from these three trials were averaged 96

and the results were used for the statistical analysis. 97

Data analysis 98

A LabView software packaged was designed to analyze rear-foot motion. A joint 99

coordinate system examined the relative rotation matrices of the marker reference frames 100

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7 on the calcaneus with respect to those on the shank. The neutral position was defined as the 101

standing position. The calculated rotation matrices in the neutral position were used to 102

correct the joint. Euler angles were used to define the three-dimensional relative joint 103

angular motion. From this neutral position, the distal segment was assumed to move 104

through three successive finite rotations to attain its new configuration. The first rotation 105

was dorsiflexion–plantarflexion about the z-axis of the proximal segment, followed by 106

inversion–eversion about a rotated floating x-axis. Finally, the third rotation was the 107

abduction–adduction rotation about the distal to proximal direction (y-axis) of the distal 108

segment. The temporal and spatial gait parameters were computed, including walking speed, 109

step length, cycle time, and angles of the rear-foot joint. 110

Statistical Analysis 111

We used SPSS version 12 softwaree for the statistical analysis. Group differences in age, 112

body height, and body mass were compared using an independent t-test. Gender differences 113

between the groups were determined using a χ2 test. The gait parameters were compared 114

using repeated measures analysis of variance (ANOVA) to determine significant differences 115

among the AFOs and groups. Post hoc Bonferroni tests were used to evaluate the 116

significance of pairwise comparisons between the AFOs. The level of significance used was 117

P < 0.05.

118

Results 119

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8 Descriptive information regarding the 14 participants with hemiplegia is listed in table 1. 120

Comparisons of demographic data, including age, gender, body height, and body weight 121

between the stroke and normative subjects are listed in table 2. The hemiplegic stroke 122

subjects walked at a significantly slower, self-selected, comfortable walking speed, had 123

decreased step length, and longer cycle times than the control group. When comparing the 124

A-AFO, P-AFO, and barefoot conditions in the hemiplegic stroke subjects, there was no 125

significant difference in the self-selected, comfortable walking speeds, step lengths, and 126

cycle times (see table 3). 127

Rear-foot kinematic changes during gait in both the stroke and normal subjects when 128

barefoot are shown in table 4 and figure 3. At initial heel contact, the rear-foot movement 129

of the stroke patients showed increased inversion and adduction in comparison with the 130

healthy control subjects. During the stance phase, the stroke patients showed less 131

dorsiflexion and more inversion in the rear-foot angle. During the swing phase, the 132

rear-foot of the stroke patients showed less maximal plantarflexion and less dorsiflexion 133

than the healthy control group. Actually, they all showed the gait pattern as equinovarus 134

gait. 135

Comparisons of the rear-foot angular motions in hemiplegic stroke subjects in the 136

A-AFO, P-AFO, and without AFO conditions are shown in figures 3 and 4. In the sagittal 137

plane, as compared to walking with an A-AFO or without an AFO, the P-AFO significantly 138

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9 decreased plantarflexion to neutral at initial heel contact and the swing phase and increased 139

dorsiflexion at the stance phase. In the coronal plane, the A-AFO significantly increased 140

maximal eversion to neutral (less inversion) at the stance phase and decreased the maximal 141

inversion angle at the swing phase when compared with not using an AFO. The P-AFO also 142

decreased the maximal inversion angle at the swing phase when compared with not using 143

an AFO. In the transverse plane, as compared to walking without an AFO, the A-AFO and 144

P-AFO conditions decreased the adduction angle significantly at initial heel contact. There 145

were no significant differences in maximal adduction and the maximal abduction angles 146

among the three AFO conditions during the stance and swing phases respectively. 147

Discussion 148

The incidence of equinovarus foot in stabilized vascular hemiplegia was reported to be 149

about 18%.17 The equinovarus foot shifts weight bearing from the heel to the lateral plantar 150

surface, which can cause loss of balance and reduce walking safety. This condition also has 151

a strong correlation to the presence of claw toes.18, 19 An AFO has often been prescribed to 152

facilitate ankle control for the equinus and/or varus foot. This study investigated the 153

kinematic change in rear-foot joint control during gait in hemiplegic stroke patients using 154

A-AFOs, P-AFOs, and no AFO assistance. As compared to using no AFO, the A-AFO 155

decreased rear-foot inversion at the stance and swing phases. The P-AFO increased 156

rear-foot dorsiflexion during the whole gait cycle in comparison with the A-AFO and 157

(30)

10 P-AFO. The P-AFO also decreased rear-foot inversion at the swing phase as compared to 158

using no AFO. 159

In comparison with the normal controls in our study, the stroke subjects showed 160

significantly decreased gait parameters including walking speed, step length, and cycle time. 161

After wearing either the A-AFOs or P-AFOs, we noted no significant differences in the 162

walking speed, step lengths, and cycle times after statistical analysis. Such results were not 163

compatible with the previously mentioned studies,4-6 but were similar to other studies.1, 20, 21 164

The relatively small number of cases, variable improvement in patients’ wearing different 165

types of AFO, (improvement in gait speed when wearing A-AFOs as opposed to decreases 166

in gait speed when wearing P-AFOs or vice versa), may explain the insignificant statistical 167

results. According to the study of Perry et al, a difference of 20 cm/s in walking speed was 168

defined as clinically significant.22 Even though some studies showed an improvement in 169

gait speed in stroke patients after wearing AFOs, most of the improvements were too small 170

to reach clinical significance.5 171

In healthy subjects, the rear-foot tended to plantarflex at initial heel contact, and then 172

dorsiflex during the stance phase and mid-swing phase in the sagittal plane. In the coronal 173

plane, the rear-foot inverted at initial heel contact and then everted until terminal stance 174

when it inverted. These findings are compatible with previous studies.12,15 W. Liu et al 175

evaluated rear-foot kinematic changes in healthy subjects and found that repeatable patterns 176

(31)

11 between subjects can be observed in dorsiflexion/plantarflexion and inversion/eversion, 177

suggesting that these characteristic changes are essential for efficient level walking. The 178

inconsistent kinematic changes in the abduction/adduction angle between the studies may 179

be explained by the angle’s secondary importance to level walking. Each individual may 180

adopts his/her own strategy and his/her specific motion characteristics.23 181

We noted that hemiplegic stroke subjects have altered rear-foot kinematics during gait, 182

such as rear-foot inversion and adduction at initial heel contact. It has been suggested that 183

foot eversion during the stance phase provides shock absorption on floor impact.24 184

Increased rear-foot inversion at initial heel contact only offers shock absorption from the 185

toe and lateral border of the foot, but increases the stress on the contact area.25 During the 186

stance phase, rear-foot control in the hemiplegic stroke patients became more plantarflexed 187

and still inverted. This plantarflexion and rear-foot inversion may interfere with adequate 188

pushing motion generation during propulsion.26 During the swing phase of stroke subjects, 189

the rear-foot remained in the plantarflexion position and could not accomplish dorsiflexion 190

well. Inadequate dorsiflexion may interfere with foot clearance. Perry found that the 191

hemiplegic stroke patients had inadequate shock absorption at heel strike, poor control of 192

momentum during stance, and inadequate excursion of the paretic limb during swing.27 Our 193

study suggests that these observations may be explained by the abnormal kinematic 194

changes in rear-foot control in our stroke patients. 195

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12 After hemiplegic stroke subjects wore the two types of AFOs, their rear-foot control at 196

initial heel contact was in a more dorsiflexed position with P-AFOs as compared to the 197

A-AFOs and no AFO, and was less adducted with both the A-AFOs and P-AFOs when 198

compared to using no AFO. During the stance phase, the P-AFO increased the dorsiflexion 199

angle when compared with the A-AFO and no AFO, while the A-AFO corrected an inverted 200

rear-foot more effectively when compared with not using an AFO. At the swing phase, the 201

P-AFO kept the rear-foot in the dorsiflexion position in comparison with the A-AFO and no 202

AFO, and both the A-AFO and P-AFO decreased the inverted angle as compared to using 203

no AFO. The kinematic findings for the P-AFO in the sagittal plane were compatible with 204

Stefania Fatone et al’s study, which showed that all patients tested with P-AFOs with 205

different AFO alignments and foot-plate lengths were able to decrease their plantar flexion 206

of the ankle at initial contact and mid-swing.1 Our study also suggested that the A-AFOs 207

had a greater effect on inverted rear-foot control than the P-AFOs and going barefoot, 208

especially in the stance phase. 209

We speculated that the different effects of AFO type on the rear-foot kinematic change 210

may relate to the design differences. The P-AFO, with its sole extending the length from 211

heel to sulcus and posterior reinforcement to stiffen its plantar flexion resistance feature, 212

may prevent ankle plantarflexion effectively. Their medial and lateral trim lines posterior to 213

both malleoli allowed sufficient flexibility and helped dorsiflexion effectively but helped 214

(33)

13 less in controlling inverted ankle. The A-AFO, with its small sole band just under the 215

metatarsal and lack of posterior reinforcement, may have limited its ability to prevent 216

plantarflexion. However, its continuous coverage from the metatarsal and tarsal to shank 217

may fix the subtalar joint and prevent rear-foot inversion more effectively. Although the 218

rear-foot kinematics after AFO correction were still different from those of the normal 219

subjects, the A-AFOs and P-AFOs did play a role in correcting and normalizing the 220

rear-foot angle of hemiplegic subjects after statistical analysis. Such change may contribute 221

to the functional improvement noted in previously mentioned studies in gait stability, 222

balance control, energy cost, and patients’ function. Other integrated strategies are still 223

needed to improve stroke patients’ gait pattern.28

224

There are some limitations in this study. First, a relatively small number of cases were 225

recruited for this study. Second, the healthy control group did not walk as slowly as the 226

stroke subjects, given that forcing such a slow speed on a healthy person would result in 227

unnatural gait patterns and thereby increase the variables. Third, we studied the rear-foot 228

kinematic change as representative of the ankle joint, since it can be easily marked and 229

compared well with the typical ankle gait analysis 13. Fourth, we only analyzed the 230

posterior leaf-spring AFO, which provide little effects in controlling inverted ankle, in 231

representative of P-AFO in this study. Further study should evaluate the rear-foot, mid-foot, 232

and fore-foot motions under different AFO designs and conditions. 233

(34)

14 Conclusions

234

The results of our study suggested that for post-stroke hemiplegic gait, the P-AFO was 235

better than A-AFO in enhancing rear-foot dorsiflexion during the whole gait cycle. The 236

A-AFO was superior to the P-AFO in correcting excessive rear-foot inversion at the stance 237

phase. Both the A-AFOs and P-AFOs helped correct inverted foot at the swing phase. The 238

choice between A-AFO and P-AFO should not only be made by considering the patients’ 239

preference and the practitioners’ expertise, but should also be based on the patients’ motor 240

control and resultant gait characteristics. We report our results here in anticipation that they 241

will be applied to AFO selection in hemiplegic stroke patients. 242

Acknowledgement: 243

This research was supported by the National Science Council, R. O. C. (grant no.: 244

NSC-95-2221-E-033-027) 245

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15 References

247

1. Fatone S, Gard SA, Malas BS. Effect of ankle-foot orthosis alignment and foot-plate 248

length on the gait of adults with poststroke hemiplegia. Arch Phys Med Rehabil 249

2009;90(5):810-8. 250

2. Kim CM, Eng JJ. Magnitude and pattern of 3D kinematic and kinetic gait profiles in 251

persons with stroke: relationship to walking speed. Gait Posture 2004;20(2):140-6. 252

3. Lehmann JF, Condon SM, Price R, deLateur BJ. Gait abnormalities in hemiplegia: 253

their correction by ankle-foot orthoses. Arch Phys Med Rehabil 1987;68(11):763-71. 254

4. Abe H, Michimata A, Sugawara K, Sugaya N, Izumi S. Improving gait stability in 255

stroke hemiplegic patients with a plastic ankle-foot orthosis. Tohoku J Exp Med 256

2009;218(3):193-9. 257

5. de Wit DC, Buurke JH, Nijlant JM, Ijzerman MJ, Hermens HJ. The effect of an 258

ankle-foot orthosis on walking ability in chronic stroke patients: a randomized controlled 259

trial. Clin Rehabil 2004;18(5):550-7. 260

6. Tyson SF, Thornton HA. The effect of a hinged ankle foot orthosis on hemiplegic gait: 261

objective measures and users' opinions. Clin Rehabil 2001;15(1):53-8. 262

7. Wang RY, Lin PY, Lee CC, Yang YR. Gait and balance performance improvements 263

attributable to ankle-foot orthosis in subjects with hemiparesis. Am J Phys Med Rehabil 264

2007;86(7):556-62. 265

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16 8. Corcoran PJ, Jebsen RH, Brengelmann GL, Simons BC. Effects of plastic and metal 266

leg braces on speed and energy cost of hemiparetic ambulation. Arch Phys Med Rehabil 267

1970;51(2):69-77. 268

9. Bleyenheuft C, Caty G, Lejeune T, Detrembleur C. Assessment of the Chignon 269

dynamic ankle-foot orthosis using instrumented gait analysis in hemiparetic adults. Ann 270

Readapt Med Phys 2008;51(3):154-60. 271

10. Park JH, Chun MH, Ahn JS, Yu JY, Kang SH. Comparison of gait analysis between 272

anterior and posterior ankle foot orthosis in hemiplegic patients. Am J Phys Med Rehabil 273

2009;88(8):630-4. 274

11. Wong AM, Tang FT, Wu SH, Chen CM. Clinical trial of a low-temperature plastic 275

anterior ankle foot orthosis. Am J Phys Med Rehabil 1992;71(1):41-3. 276

12. Chen CK, Hong WH, Chu NK, Lau YC, Lew HL, Tang SF. Effects of an anterior 277

ankle-foot orthosis on postural stability in stroke patients with hemiplegia. Am J Phys Med 278

Rehabil 2008;87(10):815-20. 279

13. Leardini A, Benedetti MG, Berti L, Bettinelli D, Nativo R, Giannini S. Rear-foot, 280

mid-foot and fore-foot motion during the stance phase of gait. Gait Posture 281

2007;25(3):453-62. 282

14. Ragnarsson KT. Lower extremity orthotics, shoes, and gait aids. In: JA Delisa, editor. 283

Physical medicine & rehabilitation:principles and practice 4th ed. Philadelphia: Lippincott, 284

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17 Williams & Wilkins; 2005. p 1383-5.

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15. Brunnstrom S. Motor testing procedures in hemiplegia: based on sequential recovery 286

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16. Bohannon RW, Smith MB. Interrater reliability of a modified Ashworth scale of 288

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cohort of 86 patients]. Ann Readapt Med Phys 2004;47(2):81-6. 292

18. Reiter F, Danni M, Lagalla G, Ceravolo G, Provinciali L. Low-dose botulinum toxin 293

with ankle taping for the treatment of spastic equinovarus foot after stroke. Arch Phys Med 294

Rehabil 1998;79(5):532-5. 295

19. Laurent G, Valentini F, Loiseau K, Hennebelle D, Robain G. Claw toes in hemiplegic 296

patients after stroke. Ann Phys Rehabil Med 2010;53(2):77-85. 297

20. Beckerman H, Becher J, Lankhorst GJ, Verbeek AL. Walking ability of stroke patients: 298

efficacy of tibial nerve blocking and a polypropylene ankle-foot orthosis. Arch Phys Med 299

Rehabil 1996;77(11):1144-51. 300

21. Cruz TH, Dhaher YY. Impact of ankle-foot-orthosis on frontal plane behaviors 301

post-stroke. Gait Posture 2009;30(3):312-6. 302

22. Perry J, Garrett M, Gronley JK, Mulroy SJ. Classification of walking handicap in the 303

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18 stroke population. Stroke 1995;26(6):982-9.

304

23. Liu W, Siegler, S., Hillstrom, H. and Whitney, K. Three-dimensional, 305

six-degrees-of-freedom kinematics of the human hindfoot during the stance phase of level 306

walking. Human Movement Science 1997;16:283-98. 307

24. Perry J. Gait analysis: normal and pathological function. NJ: SLACK Incorporated, 308

Thorofare; 1992. 309

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1969;63:23-31. 315

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approaches. Neurorehabil Neural Repair 2008;22(6):649-60. 317

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19 Supplier

319

a. Orfit Industries n.v., Vosveld 9a, B-2110 Wijnegem, Belgium. 320

b. Sammons Preston, PO Box 93040 Chicago, IL 60673-3040 USA. 321

c. VICON, Oxford Metrics Limited, 14 Minns Estate, West Way, Oxford, OX2 OJB UK. 322

d. National Instruments 11500 N. Mopac Expwy. Austin, TX 78759-3504. USA. 323

e. SPSS Inc, 233 S Wacker Dr, 11th Fl, Chicago, IL 60606 USA. 324

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20 Figure Legends

326

Figure 1. A piece of thermoplastic was cut in the shape of a bottle cap opener 327

Figure 2. The arrangement of markers on the shank and calcaneus in anterior AFO (A, B) 328

and posterior AFO (C, D) conditions 329

Figure 3. Angular motion of rear-foot in both groups: plantarflexion (+); dorsiflexion (-); 330

inversion (+); eversion (-); adduction (+); abduction (-); Asterisks (*) indicate points in the 331

gait cycle where the difference in angles with and without AFOs was significantly different. 332

Vertical lines indicate mean toe-off for each cycle with and without AFOs. The solid line 333

shows toe-off for the A-AFO trial, the dash line for the P-AFO trial, and the dot line for 334

toe-off without an AFO. 335

Figure 4. Angular comparisons of rear-foot with and without AFOs. *: P<0.05; 336

plantarflexion (+), dorsiflexion (-); inversion (+), eversion (-); adduction (+), abduction (-). 337

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Table 1: Information about stroke subjects with hemiplegia

Subject Number

Sex Age(y) Years and months since stroke

Involved Side R/L

Brunnstrom stage of involved lower limb

Ankle MAS Use of assistive device

Prior AFO use

1 M 47

5y6m

L

V

3 N Y(A-AFO) 2 M 51

3y8m

L

IV

3 N Y(A-AFO) 3 M 47

3y9m

R

V

1+ N N 4 M 67

2y5m

L

IV

1+ N N 5 M 60

7m

R

III-IV

3 N Y(A-AFO) 6 M 53

5y4m

R

V

2 N N 7 M 53

8m

L

III

2 N N

8 M 51

3y4m

R

III

3 N Y(A-AFO)

9 M 43

10m

L

V

2 N Y(A-AFO) 10 W 70

5m

R

V

1+ N N 11 W 49

2m

R

IV

2 N Y(A-AFO) 12 W 56

2y2m

R IV 2 N Y(A-AFO) 13 W 72

1y

R V 2 N N 14 W 71

4y4m

L IV 1+ N Y(A-AFO)

MAS:Modified Ashworth Scale. N: no, Y: yes.

(42)

Table 2. Comparisons of demographic data between stroke and normative subjects Groups Demographic data Stroke subjects (n=14) Normal subjects (n=11) P value Age (years) 56.4 ± 9.8 55.6 ± 8.2 0.842 Gender (Men/Women) 9/5 5/6 0.435 Body height (cm) 161.0 ±9.5 158.3 ± 5.6 0.415 Body mass (kg) 64.0 ± 9.7 60.9 ± 9.9 0.439 . Table 2

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Table 3. Gait parameters of AFO conditions in stroke subjects and normal subjects

Stroke patients Normal subjects

Plane A-AFO P-AFO Barefoot Barefoot

Speed (%BH/sec) Step length (%BH) Cycle time (sec)

32.8±11.1 9.6±6.2 4.0±1.4 31.6±10.9 9.2±5.9 4.2±1.4 31.9±11.6 9.8±6.6 3.9±1.5 66.5±3.9 29.4±4.1 2.2±0.3 Table 3

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Table 4. Rear-foot kinematics during gait for the involved limb of stroke subjects and control subjects walking barefoot with their self-selected, comfortable walking speed.

Gait phase Initial heel contact Stance phase Swing phase Sagittal plane Plantarflexion Maximal

Dorsiflexion Maximal Plantarflexion Angle (degree) Control 6.3±4.7 -8.6±2.9 8.4±3.6 Stroke 8.5±5.7 -2.4±6.4 5.4±4.0 P-value 0.307 0.018* 0.048*

Coronal plane Inversion Maximal

Eversion Maximal Inversion Angle (degree) Control -1.4±2.8 -4.6±3.0 7.7±2.6 Stroke 8.2±4.5 4.4±5.0 10.5±4.7 P -value <0.001** <0.001** 0.177

Transverse plane Adduction Maximal

Adduction Maximal Abduction Angle (degree) Control 1.2±3.6 11.3±4.5 7.7±2.6 Stroke 8.9±4.3 11.5±5.5 3.7±5.4 P -value <0.001** 0.850 0.118

*: P <0.05; **: P <0.01; plantarflexio (+), dorsiflexion (-); inversion (+), eversion (-);

adduction (+), abduction (-).

(45)
(46)

A B C D

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(48)

-10 -5 0 5 10 15 Plantarflexion At initial contact Max dorsiflexion At stance phase Max plantarflexion At swing phase A n g le ( d e g ) A-AFO P-AFO Without AFO 0 5 10 15 20 Inversion At initial contact Max eversion At stance phase Max inversion At swing phase A n g le ( d e g ) 0 5 10 15 20 25 Adduction At initial contact Max adduction At stance phase Max abduction At swing phase A n g le ( d e g ) Sagittal plane Coronal plane Transverse plane * * * * * * * * * * * Figure 4

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____Chih-Chi Chen_________________________ ____2010726______________ Type in name above Type in date above

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(54)

數據

Table 1: Information about stroke subjects with hemiplegia  Subject
Table 2. Comparisons of demographic data between stroke and normative subjects  Groups  Demographic data    Stroke subjects (n=14)  Normal subjects (n=11)  P value  Age (years)  56.4 ± 9.8  55.6 ± 8.2  0.842  Gender (Men/Women)  9/5  5/6  0.435  Body heigh
Table 3. Gait parameters of AFO conditions in stroke subjects and normal subjects  Stroke patients  Normal subjects
Table 4. Rear-foot kinematics during gait for the involved limb of stroke subjects and  control subjects walking barefoot with their self-selected, comfortable walking speed

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 develop a better understanding of the design and the features of the English Language curriculum with an emphasis on the senior secondary level;..  gain an insight into the

An additional senior teacher post, to be offset by a post in the rank of CM or APSM as appropriate, is provided to each primary special school/special school with

Mass-to-light ratios of old stellar populations are uncertain; (1) the initial mass function (IMF) of star formation is poorly known; it may vary with radius in an individual galaxy