soleus muscle weakness in cerebral palsy: muscle architecture … · 20 neuromusculoskeletal...

32
1 Soleus muscle weakness in Cerebral Palsy: muscle architecture revealed with Diffusion Tensor Imaging Annika S. Sahrmann 1 , Ngaire Susan Stott 2 , Thor F. Besier 1,3 , Justin W. Fernandez 1,3 , and Geoffrey G. Handsfield 1,* 1 Auckland Bioengineering Institute University of Auckland, Auckland, New Zealand 2 Department of Orthopaedic Surgery, Faculty of Medical and Health Sciences University of Auckland, Auckland, New Zealand 3 Department of Engineering Science, Faculty of Engineering University of Auckland, Auckland, New Zealand 1 Corresponding Author [email protected] (GGH) Running Title: Soleus Muscle Weakness in CP Word Count Abstract: 200 Word Count Manuscript: 3783 . CC-BY 4.0 International license certified by peer review) is the author/funder. It is made available under a The copyright holder for this preprint (which was not this version posted October 5, 2018. . https://doi.org/10.1101/436485 doi: bioRxiv preprint

Upload: others

Post on 29-Jul-2020

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

1

Soleus muscle weakness in Cerebral Palsy:

muscle architecture revealed with Diffusion Tensor Imaging

Annika S. Sahrmann1, Ngaire Susan Stott2, Thor F. Besier1,3,

Justin W. Fernandez1,3, and Geoffrey G. Handsfield1,*

1Auckland Bioengineering InstituteUniversity of Auckland, Auckland, New Zealand

2Department of Orthopaedic Surgery, Faculty of Medical and Health SciencesUniversity of Auckland, Auckland, New Zealand

3Department of Engineering Science, Faculty of EngineeringUniversity of Auckland, Auckland, New Zealand

1Corresponding Author [email protected] (GGH)

Running Title: Soleus Muscle Weakness in CP

Word Count Abstract: 200

Word Count Manuscript: 3783

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 2: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

2

1 ABSTRACT

2 Cerebral palsy (CP) is associated with movement disorders and reduced muscle size. This latter

3 phenomenon has been observed by computing muscle volumes from conventional MRI, with most

4 studies reporting significantly reduced volumes in leg muscles. This indicates impaired muscle

5 growth, but without knowing muscle fiber orientation, it is not clear whether muscle growth in CP

6 is impaired in the along-fiber direction (indicating shortened muscles and limited range of motion)

7 or the cross-fiber direction (indicating weak muscles and impaired strength). Using Diffusion

8 Tensor Imaging (DTI) we can determine muscle fiber orientation and construct 3D muscle

9 architectures to examine along-fiber length and cross-sectional area separately. Such an approach

10 has not been undertaken in CP. Here, we use advanced DTI sequences with fast imaging times to

11 capture fiber orientations in the soleus muscle of children with CP and age-matched, able-bodied

12 controls. Physiological cross sectional areas (PCSA) were reduced (37 ± 11%) in children with CP

13 compared to controls, indicating impaired muscle strength. Along-fiber muscle lengths were not

14 different between groups, but we observed large variance in length within CP group. This study is

15 the first to demonstrate functional strength deficits using DTI and implicates impaired cross-

16 sectional muscle growth in children with cerebral palsy.

17 Key Terms: leg, musculoskeletal, PCSA, pennation, DTI, MRI

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 3: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

3

18 INTRODUCTION

19 Cerebral Palsy (CP) is one of the most common movement disorders in children. It is a disabling

20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain

21 caused before or during birth or up to two years after birth(1). Individuals with CP have impaired

22 movements and hypertonia, which can limit both physical activity and social participation(2,3).

23 Although the neural lesion is non-progressive(4), the biomechanical impairments in CP are

24 progressive, becoming worse as the child grows and ages(5). Since the progression of CP appears

25 to be musculoskeletal and not neural, this disorder may be greatly illuminated with further

26 investigations into musculoskeletal growth in CP.

27 Previous studies(4,6–11) have reported wide-spread volume deficits of the lower extremity

28 muscles in children with CP when compared to age-matched typically developing (TD) controls.

29 Among these observations, the soleus muscle seems to be especially affected by reduced muscle

30 volume(6). The soleus is the largest muscle of the triceps surae and plays an essential role in

31 standing and walking(12,13). Alterations in soleus function will thus have profound implications

32 for stability in gait and ambulation. While muscle volume deficits can be determined relatively

33 easily from medical imaging, these measurements do not indicate whether the muscle is short in

34 the along-fiber direction or small in the cross-fiber direction. Indeed, knowledge of muscle fiber

35 orientation is necessary to determine this. Functionally, muscle size in the cross-fiber direction can

36 be expressed as the physiological cross-sectional area (PCSA) and is related to the muscle’s force

37 generating capacity(14). Fascicle length is the length of the muscle in the along-fiber direction and

38 is related to the range of motion and contraction velocity of a muscle. To calculate PCSA and

39 fascicle length from medical imaging, specific fiber architectures must be known. Since CP often

40 presents heterogeneously across subjects, ‘typical’ fiber architecture across subjects is not

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 4: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

4

41 expected and determination of subject-specific fiber orientation is important. With such

42 knowledge, muscle architecture characteristics such as pennation angle, fascicle length, and PCSA

43 can be calculated to help provide information about functional impairments at the muscle level in

44 children with CP. This information may inform orthopaedic surgeries such as tendon lengthenings,

45 which specifically target a muscle-tendon unit and can be tailored or ruled out with knowledge of

46 the length and cross-sectional area of the muscle being targeted.

47 One in vivo technique for acquiring muscle fiber data is Diffusion Tensor Imaging (DTI)

48 which is a Magnetic Resonance Imaging (MRI) sequence that encodes diffusion to evaluate

49 directions of fluid motion within tissues(15,16). Since water diffuses preferentially along fibers

50 rather than across them in skeletal muscle, DTI can be used to reconstruct and analyze skeletal

51 muscle fiber tracts(17–21), which can then be used to calculate muscle architecture. The long

52 imaging times of DTI have prevented its use in CP populations in the past, since it is essential that

53 patients remain still for the length of the scanning. Advancements in DTI have made it possible to

54 acquire images quickly, opening up the possibility to use this technology in CP patients.

55 The purpose of this study was to investigate and compare the muscle fiber architecture of

56 the soleus muscles in children with and without CP, focusing on the PCSA, fascicle length, and

57 pennation angle. By beginning with a foundational understanding of the muscle architecture in CP

58 and how it differs from TD muscle architecture, the muscular contribution to impaired

59 biomechanics in CP can be illuminated. With muscle fiber architecture, predictions about

60 functional impairments such as reduced strength, fatigue, and impaired gait of children with CP

61 can be more reliable and rehabilitation therapies can be evaluated in terms of muscle architecture.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 5: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

5

62 MATERIALS AND METHODS

63 Participant Characteristics and Imaging

64 Images were collected from 9 volunteers with CP, ranging from level I to III in the Gross Motor

65 Function Classification System(22,23) (GMFCS) with the following characteristics:. [mean ± SD

66 (range)]: age: 11.1 ± 2.0 (8-13) years, height: 145.1 ± 10.8 (125.0-154.0) cm, body mass: 37.7 ±

67 10.3 (22.0-51) kg, body mass index: 17.6 ± 2.9 (14.1-21.5) kg/m². Participant characteristics are

68 provided in Table 1. Inclusion criteria included the ability to safely undergo MRI and remain

69 motionless in the MRI scanner for the duration of the imaging time. Nine age- and gender-matched

70 typically developed (TD) participants were recruited for comparison as a control group, with the

71 following characteristics: [mean ± SD (range)]: age: 11.1 ± 2.0 (8-13) years, height: 150.6 ± 11.8

72 (134.0-164.0) cm, body mass: 39.6 ± 8.2 (27.0-51.0) kg, body mass index: 17.3 ± 1.5 (15.0-20.2)

73 kg/m². The study protocol was approved by the University of Auckland Human Participants Ethics

74 Committee. Parents/guardians of participants provided informed consent prior to study

75 participation and all participants assented to the study.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 6: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

6

Table 1: Characteristics for all CP subjects

76

77 Imaging data were collected from knee to ankle. The scanning was conducted on a 3.0T

78 Siemens Skyra Scanner (Erlangen, Germany) using a high-resolution 3D T1 VIBE Dixon sequence

79 with the following parameters: TE/TR: 5.22 ms/ 10.4 ms; FOV: 128mm x 228mm x 384mm [R-

80 L, A-P, S-I]; spatial resolution: 0.8 mm × 0.8 mm × 0.8 mm; imaging time: 5min. After the Dixon

81 scan, we immediately scanned using an echo planar imaging sequence with the following

82 parameters: TE/TR/α: 74.0 ms/ 4400 ms; b-value: 500 mm/s²; FOV: 200mm x 200mm in-plane;

83 axial slice thickness: 5 mm; in-plane spatial resolution: 1.64 mm × 1.64 mm; two stacks of 35

84 images; imaging time: 6min. The subjects were scanned in feet first supine position with 10° of

85 knee flexion. The subjects’ ankles were positioned in a neutral orientation using a foam block and

86 bean bag. An accessory flex coil and the body coil were used. DTI image stacks were merged with

87 a custom code written in Matlab R2016a (Natick, Massachusetts, USA). Post-processing was

88 conducted using DSI Studio(24).

89

90

CP 1 CP 2 CP 3 CP 4 CP 5 CP 6 CP 7 CP 8 CP 9

Age (years) 13 11 12 13 12 8 9 8 8

Gender (M/F) M F F M M M M F F

Height (m) 1.50 1.48 1.54 1.57 1.60 1.25 1.36 1.14 1.17

Weight (kg) 37 31 49 41 51 22 33 17 20

BMI (kg/m²) 16.4 14.2 20.7 16.6 19.9 14.1 17.8 13.1 14.6

GMFCS II II I III III II I II I

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 7: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

7

91 Image Processing

92 To increase image signal, T1 images were resampled from a slice thickness of 0.8mm to

93 4mm using Matlab (R2016a). We segmented three characteristic regions of the soleus muscle

94 consistent with regions identified from anatomical studies(25,26) (Fig 1). Segmentation was

95 conducted on T1 images in the axial plane using ITK Snap(27) (V 3.4.0). T1-weighted images

96 were spatially registered to the DT image space and the segmented muscle regions were exported

97 as binary masks for DTI post processing. Fiber tracking was conducted by importing the

98 transformed binary mask into the DSI studio software, and using the fiber tracking algorithm(28)

99 for single-thread DTI implementation with the following parameters: angular threshold: 40°, FA:

100 0.1, minimum tract length: 20mm, maximum tract length: 200mm. After this process, DTI tracts

101 were visually inspected to confirm that they originated and terminated near aponeurosis locations.

102 Muscle fascicle lengths were then taken as the DTI tract length.

103

104 Fig 1: 3D reconstructions of segmented MRI images illustrate the 3 characteristic regions of

105 the soleus muscle—posterior (orange), anterior (blue) and marginal (green). Fiber tracts

106 reconstructed from DTI within those masks represent unique fiber regions within the muscle.

107

108 PCSA

109 PCSAs for each soleus were calculated from the soleus fascicle lengths using the following

110 equation(29,30).

111 (1)𝑃𝐶𝑆𝐴 = 𝑚𝑢𝑠𝑐𝑙𝑒 𝑣𝑜𝑙𝑢𝑚𝑒𝑓𝑎𝑠𝑐𝑖𝑐𝑙𝑒 𝑙𝑒𝑛𝑔𝑡ℎ

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 8: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

8

112 where PCSA is the physiological cross-sectional area, muscle volume is the volume of the soleus

113 acquired from image post-processing in units of cm³ and fascicle length is the length of a fiber

114 obtained from DTI post-processing software in cm.

115 Pennation Angle

116 The conventional definition of pennation angle is the 2D-angle between the muscle fiber and the

117 line of action of the muscle(31,32). The 2D nature of this definition makes it difficult to apply to

118 complex three dimensional data. Another definition describing 3D angles has been offered in the

119 past(25,33). Consistent with these, pennation angles were calculated as the angle between the

120 tangent vector of the fiber bundle and the norm vector of the muscle surface at the insertion point

121 of the bundle. Since each region of the muscle consists of multiple differently arranged fiber

122 bundles, one characteristic fiber bundle was extracted for each region and the pennation angle was

123 computed for this fiber bundle for the region from which it was extracted. To have a reasonable

124 comparison of angles, bundles were inspected to ensure consistency of location across subjects.

125 Normalization of Variables

126 To reduce the effects of body height and mass on differences in muscle size and architecture, we

127 normalized computed parameters according to the following equations. Muscle volume and PCSA

128 were normalized to body size based on findings from a previous study(34).

129 (2)𝑣𝑜𝑙𝑢𝑚𝑒𝑛𝑜𝑟𝑚 =𝑚𝑢𝑠𝑐𝑙𝑒 𝑣𝑜𝑙𝑢𝑚𝑒ℎ𝑒𝑖𝑔ℎ𝑡 ∙ 𝑚𝑎𝑠𝑠

130 where volumenorm is the normalized muscle volume of the soleus, muscle volume is the volume of

131 the soleus acquired from image processing in units of cm³, height-mass is the product of subject

132 height in cm and body mass in kg.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 9: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

9

133 (3)𝑃𝐶𝑆𝐴𝑛𝑜𝑟𝑚 =𝑃𝐶𝑆𝐴𝑚𝑎𝑠𝑠

134 where PCSAnorm is the normalized physiological cross-sectional area in cm²/kg, PCSA is the

135 physiological cross-sectional area of the soleus in cm² and mass is the subject’s body mass in kg.

136 Muscle length and fascicle lengths were normalized by height as follows:

𝑚𝑢𝑠𝑐𝑙𝑒 𝑙𝑒𝑛𝑔𝑡ℎ𝑛𝑜𝑟𝑚 =𝑚𝑢𝑠𝑐𝑙𝑒 𝑙𝑒𝑛𝑔𝑡ℎ

ℎ𝑒𝑖𝑔ℎ𝑡(4)

𝑓𝑎𝑠𝑐𝑖𝑐𝑙𝑒 𝑙𝑒𝑛𝑔𝑡ℎ𝑛𝑜𝑟𝑚 =𝑓𝑎𝑠𝑐𝑖𝑐𝑙𝑒 𝑙𝑒𝑛𝑔𝑡ℎ

ℎ𝑒𝑖𝑔ℎ𝑡(5)

137 where muscle length is the superior-inferior length of the muscle in cm, fascicle length is the tract

138 length obtained from DTI post-processing in cm and height is the subject’s body height in cm.

139 Statistics

140 Since normalized parameters were being compared between groups, nonparametric statistical

141 tests were necessary. For all tests of significance, the Wilcoxon ranksum test was used.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 10: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

10

142 RESULTS

143 Muscle volumes and muscle lengths

144 Muscle volumes differed significantly between the CP and the TD group (Fig 2A). Absolute

145 muscle volumes were 42.6% smaller in the CP group (p =0.004). Body size normalized volumes

146 were 35.2% smaller on average for CP subjects (p =0.002). Differences in muscle length (Fig 2B)

147 did not reach significance for either absolute or normalized lengths: absolute length difference

148 8.5% (p =0.131), normalized length difference 6.0% (p =0.340).

149

150 Fig 2: A) Normalized muscle volumes are significantly reduced in the CP cohort. B)

151 Normalized muscle length is longer in the TD population but this difference does not reach

152 significance.

153

154 We observed differences in the shape of the soleus muscle between the CP and TD group

155 and within the CP group. Overall, the fiber models show that CP group has smaller muscles. Also,

156 the subjects with CP show a less dense ‘packing’ of muscle fibers in their muscles than the subjects

157 of the TD group, suggestive of a larger fraction of intramuscular connective tissue. CP muscles

158 were longer and thinner compared to their TD counterparts.

159 The CP cohort presented smaller volumes than the TD cohort for each of the three

160 functional regions of the soleus. The marginal region was the most reduced region and was 56.5%

161 smaller in the CP group (p = 0.001), the anterior region was 46.1% smaller in the CP group (p =

162 0.004), and the posterior region was 35.5% smaller in the CP group (p = 0.019).

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 11: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

11

163 Fascicle lengths and PCSA

164 A comparison of the median fascicle lengths between the CP and TD groups revealed slight

165 differences in fascicle length between the cohorts (Fig 3). For the marginal and posterior

166 compartment non-significant differences of 0.4% (p=0.465) and 2.5% (p =0.712) in the CP group

167 were observed; fascicle lengths in the anterior compartment showed non-significant differences of

168 4.2% (p = 0.846) in the TD group. Absolute fascicle lengths were not significantly different in any

169 compartment between the groups.

170

171 Fig 3: Normalized fascicle lengths in the three regions of the soleus show heterogeneities

172 within and between groups but are not significantly different between CP and TD cohorts.

173

174 We observed heterogeneities in fascicle lengths within both cohorts (Fig 3). For instance,

175 both the longest and the shortest normalized median fascicle length could be found within the TD

176 group (longest 34mm with a height of 1.34m; shortest 24.5mm with a height of 1.36m). Thus,

177 within group heterogeneity was apparent and was also consistent with literature reports of fascicle

178 length heterogeneity (see Discussion). Additionally, we found a large range of fascicle lengths

179 within each subject and muscle compartment. The average standard deviation of fascicle length

180 within a single subject was 7.2mm for the anterior compartment, 6.7mm for the marginal

181 compartment, and 6.3mm for the posterior compartment. While variability was evident within

182 subjects, we did not find any significant differences in fascicle lengths between the CP and TD

183 group.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 12: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

12

184 PCSAs were significantly reduced among the CP cohort: mean deficits of 40.9% in PCSA

185 (p = 0.014) (Fig 4). Normalized PCSA was reduced by 36.1 % in CP subjects (p = 0.001). A direct

186 comparison between each age- and gender-matched subject’s PCSAs revealed a smaller PCSA

187 than their TD counterpart.

188

189 Fig 4: Normalized physiological cross-sectional areas (PCSAs) are significantly reduced in

190 the CP cohort, indicating a reduced maximum force and functional weakness for this muscle.

191 Here, PCSA was normalized by the body mass of each subject.

192 Pennation Angle

193 The pennation angle is meant to describe how the muscle fibers are arranged and thus, how these

194 arrangements influence the functionality. Yet, the computed angles for the selected characteristic

195 fiber bundles varied widely between compartments and also within them (Fig 5). The angular range

196 in the whole muscle ranged from 8.03° to 86.9°. Even within regions the ranges were large. As the

197 pennation angle showed a lot of variations within and between compartments and also within and

198 between the CP and TD group, no trend in reduced pennation angles was observed.

199

200 Fig 5: Pennation angles for all subjects in each compartment (marginal, posterior, anterior)

201 show subject-specific results and large angle ranges also within the groups, but no significant

202 differences between the groups.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 13: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

13

203 DISCUSSION

204 Deficits in muscle volume in CP have been previously observed and reported by many different

205 groups(4,6,8,10,35,36). In the present study, we also observed significantly reduced muscle

206 volumes. This was true for both absolute and body-size normalized muscle volumes. Deficits in

207 muscle length and fascicle length in CP were not observed. Deficits in PCSA in this study were

208 large in the CP group and consistent with literature findings for other lower limb muscles(11,37).

209 Our reults suggest that volume deficits observed in CP are largely related to deficits in cross-

210 section and indicate impaired strength capacity in CP.

211 From a geometrical perspective, muscle volume deficits may be related to deficits in

212 fascicle length, PCSA, or both. Functionally, deficits in fascicle lengths are related to a reduced

213 range of motion and contraction velocity while deficits in PCSA are related to reduced strength

214 capacities. Based on the findings of this study, we conclude that volume deficits in CP are largely

215 associated with decreased strength capacities rather than a reduced range of motion or reduced

216 contraction velocities. Previously reported results on this question are somewhat varied:

217 Handsfield et al.(6) did not determine fascicle lengths but reported reduced muscle lengths of 7.5%

218 in the soleus in CP. Using ultrasound, Shortland et al.(38) and Barber et al.(11) found no fascicle

219 length differences in the medial gastrocnemius between CP and TD children. Moreau et al.(39)

220 found reduced fascicle lengths in the rectus femoris, but not the vastus lateralis, in CP. Differences

221 between studies may reflect differences in the muscles analyzed and differences between cohorts

222 or may result from methodological differences(17). The results found here, that fascicle lengths

223 are not significantly different between CP and TD groups, have not been previously presented for

224 the soleus muscle and is consistent with previous reports for other muscles in CP(11,14,38,40).

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 14: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

14

225 It should be noted that sarcomere lengths were unknown in this study. Sarcomere lengths

226 represent a measure of length dependent force generation and passive stiffness and are used to

227 calculate optimal fascicle length(14,41). Acquisition of sarcomere lengths in vivo requires the use

228 of laser diffractometry or microendoscopy(42,43), which we did not have access to in this study.

229 In a study using laser diffraction in adolescents with CP, Smith et al.(44) found sarcomere lengths

230 to be about 17-22% longer in spastic hamstrings (gracilis and semitendinosus) muscles. A

231 sarcomere length increase of 20% implies a 20% reduction in observed PCSA at the time of data

232 acquisition. In our study we observed normalized PCSA deficits of 36%. In light of the potential

233 differences in sarcomere lengths between CP and TD groups, it is possible that CP muscle fibers

234 in our population may have fewer sarcomeres in series that are ‘stretched out’ to resemble the

235 normal-length fibers in the TD population(14,44). Thus, although we did not examine sarcomere

236 lengths in this study, when considered in the context of other studies on CP muscle architecture, it

237 is possible that CP sarcomere lengths are longer than TD, optimal fascicle lengths are shorter than

238 TD, and PCSAs are reduced compared to TD. The magnitudes of these effects suggest that PCSA

239 deficit is greater than optimal fascicle length deficit. These results should be interpreted with

240 caution, however, as the manifestation of CP is subject-specific and muscle-specific. Future studies

241 that assess muscle volumes, fascicle lengths, and sarcomere lengths are warranted.

242 The definition of the PCSA used in this study(29,30) uses the muscle length to muscle

243 fascicle length ratio, but not pennation angle. Another reported definition of PCSA(14) includes

244 the pennation angle and muscle length to fascicle length ratio. While the former definition

245 represents muscle cross-section perpendicular to muscle fiber direction, the latter definition is used

246 to represent the cross-section scaled to a direction along the tendon axis. For our study, since the

247 pennation angles were variable for each region of the soleus and also showed large heterogeneities

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 15: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

15

248 within groups, it is difficult to define one representative pennation angle in order to compute the

249 PCSA with respect to the pennation angle. This highlights a larger issue pertaining to defining 3D

250 muscle architecture and comparing to 2D definitions from the literature. The soleus muscle has a

251 complex organization comprising three aponeuroses and regions of muscle fibers with varying 3D

252 orientations within and between regions. In the literature, muscles are often assigned a

253 characteristic pennation angle to describe the orientation of fibers with respect to the tendon.

254 Though useful for simply describing the angular offset between the tendon and muscle fibers, the

255 2D definition does not account for the complex organization of fibers in 3D space. Furthermore,

256 when given the 3D vector descriptions of fiber directions within the muscle, it is difficult to

257 decompose this information into a 2D angle. The right-hand side of Fig 6 illustrates a simplified

258 representation of the principal fiber directions in sagittal view. Fibers are orientated in opposing

259 directions, descending and ascending, on both sides of the anterior aponeurosis. Previous authors

260 who used DTI have computed pennation angle as the minimum angle between an inserting fiber

261 and the plane of the aponeurosis into which it inserts. This definition is also problematic as the

262 minimum angle does not describe the azimuthal angular direction off of the aponeurosis in which

263 the fiber is directed. In the case of a muscle with as complex an organization as the soleus, some

264 consideration should be used in reporting and interpreting pennation angles. With regard to PCSA,

265 the variety of pennation angles within the soleus muscle makes it difficult to compute one

266 representative PCSA for the whole muscle where pennation angle is used as a multiplicative term.

267 Thus, we used the definition of PCSA that omits consideration of pennation angle. More broadly,

268 analysis of muscle function in terms of 3D orientation of fibers may benefit from tools which can

269 account for the complex 3D orientations such as a finite element analysis(45,46).

270

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 16: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

16

271 Fig 6: Complex soleus muscle architecture displayed from in vivo DTI data, mid-sagittal

272 slice shown. The soleus muscle has three different aponeuroses where fibers originate and

273 insert—the anterior aponeurosis, the median septum, and the posterior aponeurosis. Muscle

274 fibers are oriented in opposite directions on either side of the anterior aponeurosis, creating

275 an inverted “v” appearance.

276

277 The peak isometric force that a muscle is able to generate is directly related to the PCSA

278 and the specific tension, σ, which is a measure of the force produced per unit area of skeletal

279 muscle. This parameter has been estimated to be between 0.1 and 1.5 MPa(47,48) and is thought

280 to vary somewhat between muscles and between individuals based on fiber type distribution and

281 other factors. While specific tension may then be subject-specific, it is thought to be similar or

282 reduced in subjects with CP compared to TD subjects. Taken together, a reduced PCSA in CP is

283 representative of a direct reduction in peak isometric force. For the present study, isometric

284 strength capacities in our CP cohort are expected to be reduced by at least the reduction in PCSA,

285 but may be greater for subjects whose effective specific tension is also reduced.

286 There are several limitations to this study that bear consideration in addition to those

287 discussed above. In this study, we imaged 9 individuals with cerebral palsy and 9 typically

288 developing controls. This sample size is reasonable for an imaging study where data acquisition is

289 expensive and time consuming; however, a larger population for this study would have conferred

290 greater confidence in our results. Muscle length differences, particularly, showed a non-significant

291 trend toward shorter fascicles in the cerebral palsy cohort. A greater number of participants may

292 have revealed a significant difference here. As a technique, DTI does not specifically image muscle

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 17: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

17

293 fibers—rather it is a technique for quantifying diffusion directions of water molecules in the tissue.

294 By filtering the DTI data and implementing tractography algorithms that consider alignment of

295 fibers and overall diffusion directions, muscle fiber tract directions can be reconstructed from DTI.

296 While DTI and correct use of tractography algorithms has been shown to be robust and repeatable

297 in determining muscle fiber directions(19–21,49), the nature of the method requires that users

298 should not view each tract as a de facto muscle fiber. Rather the ensemble of tracts represents

299 overall fiber directionality.

300 We divided the muscle into three compartments—posterior, anterior, and marginal—to be

301 consistent with literature that investigated the soleus muscle(25,50). Considering the reconstructed

302 fiber architectures using DTI, it seems possible that it bears defining other compartments as well.

303 The large standard deviations even in small compartments of the soleus also implicate the diversity

304 and complexity even within small spatial regions within the muscle. The large standard deviations

305 we observed are consistent with literature reports where the muscle was divided into 32

306 compartments and carefully dissected(26). In these studies, the authors reported large standard

307 deviations within compartments even despite the large number of compartments defined. These

308 results notwithstanding, inspection of fiber directions from DTI in the soleus muscle for our set of

309 subjects reveals that the major fiber orientations appear to be well-described by categorization into

310 the anterior, posterior, and marginal compartments. Further analysis of or definition of alternative

311 compartments may lead to a deeper understanding of this muscle and its function.

312 In this study, we used DTI and conventional MRI to determine muscle volumes, lengths,

313 and fiber orientations in a CP and a TD population. We compared fascicle lengths and computed

314 PCSA in the two groups, finding reduced volume and PCSA in CP. Though we did not compute

315 sarcomere lengths in this study, the magnitude of PCSA deficits indicate that strength capacity is

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 18: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

18

316 limited in CP and related to muscle architecture. Future studies may include a greater number of

317 participants, utilize tools for determining sarcomere lengths, and assess additional lower limb

318 muscles. Given the complex architecture of the soleus muscle, other tools may prove useful to

319 understanding muscle architecture and its associated function in both cerebral palsy and typically

320 developed populations. Mechanical simulations, for instance, may prove useful to understand how

321 differences in muscle architecture and structure lead to altered function and mechanical

322 behavior(45,46). An improved understanding of how muscles in CP function may motivate new

323 therapies and help to predict their outcomes. The results of this study implicate muscle

324 strengthening therapies as a potentially effective treatment regime. Physiotherapy, targeted

325 strengthening, and habilitation therapies of muscles in CP may be very beneficial for children and

326 adolescents with CP to strengthen their muscles, improve their muscle function, and improve their

327 quality of life.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 19: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

19

Acknowledgements: This work was funded by The Wishbone Trust of the NZ Orthopaedic

Association. The Whitaker Foundation and the Robertson Foundation funded personnel through

fellowship support. We wish to acknowledge the contributions of Renee Miller, Beau Pontré, and

the helpful staff of the Centre for Advanced MRI, especially Rachel Heron and Anna-Maria

Lydon.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 20: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

20

328 REFERENCES

329 1. Bax M, Goldstein M, Rosenbaum P, Leviton A, Paneth N, Dan B, et al. Proposed

330 definition and classification of cerebral palsy, April 2005. Dev Med Child Neurol.

331 Division of Paediatrics, Obstetrics and Gynaecology, Imperial College, London, UK.;

332 2005 Aug;47(8):571–6.

333 2. Ko I-H, Kim J-H, Lee B-H. Relationships between lower limb muscle architecture and

334 activities and participation of children with cerebral palsy. J Exerc Rehabil.

335 2013;9(3):368–74.

336 3. Rosenbaum P, Paneth N, Leviton A, Goldstein M, Bax M, Damiano D, et al. A report: the

337 definition and classification of cerebral palsy April 2006. Dev Med Child Neurol Suppl.

338 2007 Feb;109:8–14.

339 4. Oberhofer K, Stott NS, Mithraratne K, Anderson I a. Subject-specific modelling of lower

340 limb muscles in children with cerebral palsy. Clin Biomech. Elsevier Ltd; 2010

341 Jan;25(1):88–94.

342 5. Morrell DS, Pearson JM, Sauser DD. Progressive Bone and Joint Abnormalities of the

343 Spine and Lower Extremities in Cerebral Palsy. RadioGraphics. 2002;22(2):257–68.

344 6. Handsfield GG, Meyer CH, Abel MF, Blemker SS. Heterogeneity of muscle sizes in the

345 lower limbs of children with cerebral palsy. Muscle and Nerve. 2016;53(6):933–45.

346 7. Moreau NG, Simpson KN, Teefey SA, Damiano DL. Muscle architecture predicts

347 maximum strength and is related to activity levels in cerebral palsy. Phys Ther.

348 Department of Health Professions, Medical University of South Carolina, 77 President St,

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 21: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

21

349 MSC 700, Charleston, SC 29425, USA. [email protected]; 2010 Nov;90(11):1619–30.

350 8. Reid SL, Pitcher CA, Williams SA, Licari MK, Valentine JP, Shipman PJ, et al. Does

351 muscle size matter? The relationship between muscle size and strength in children with

352 cerebral palsy. Disabil Rehabil. 2014;

353 9. Noble JJ, Chruscikowski E, Fry NRD, Lewis AP, Gough M, Shortland AP. The

354 relationship between lower limb muscle volume and body mass in ambulant individuals

355 with bilateral cerebral palsy. BMC Neurol. BMC Neurology; 2017;17(1):1–9.

356 10. Barrett RS, Lichtwark GA. Gross muscle morphology and structure in spastic cerebral

357 palsy: a systematic review. Dev Med Child Neurol. 2010 Sep;52(9):794–804.

358 11. Barber L, Hastings-Ison T, Baker R, Barrett R, Lichtwark G. Medial gastrocnemius

359 muscle volume and fascicle length in children aged 2 to 5years with cerebral palsy. Dev

360 Med Child Neurol. 2011;53(6):543–8.

361 12. Capaday C, Stein RB. Amplitude modulation of the soleus H-reflex in the human during

362 walking and standing. J Neurosci. 1986;6(5):1308–13.

363 13. Sinkjær T, Andersen JB, Ladouceur M, Christensen LOD, Nielsen JB. Major role for

364 sensory feedback in soleus EMG activity in the stance phase of walking in man. J Physiol.

365 2000;523(3):817–27.

366 14. Lieber RL, Friden J. Functional and clinical significance of skeletal muscle architecture.

367 Muscle Nerve. Veterans Affairs Medical Center and University of California, Department

368 of Orthopaedics, U.C. San Diego School of Medicine and V. A. Medical Center, 3350 La

369 Jolla Village Drive, San Diego, California 92161, USA. [email protected]: John Wiley &

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 22: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

22

370 Sons, Inc; 2000 Nov;23(11):1647–66.

371 15. Jellison BJ, Field AS, Medow J, Lazar M, Salamat MS, Alexander AL. Diffusion Tensor

372 Imaging of Cerebral White Matter: A Pictorial Review of Physics, Fiber Tract Anatomy,

373 and Tumor Imaging Patterns. American Journal of Neuroradiology. 2004. p. 356–69.

374 16. Van Donkelaar CC, Kretzers LJ, Bovendeerd PH, Lataster LM, Nicolay K, Janssen JD, et

375 al. Diffusion tensor imaging in biomechanical studies of skeletal muscle function. J Anat.

376 1999;194(1):79–88.

377 17. Bolsterlee B, Veeger HEJ (DirkJan), van der Helm FCT, Gandevia SC, Herbert RD.

378 Comparison of measurements of medial gastrocnemius architectural parameters from

379 ultrasound and diffusion tensor images. J Biomech. Elsevier; 2015;48(6):1133–40.

380 18. Buck AKW, Ding Z, Elder CP, Towse TF, Damon BM. Anisotropic smoothing improves

381 DT-MRI-based muscle fiber tractography. PLoS One. 2015;10(5).

382 19. Damon BM, Ding Z, Anderson AW, Freyer AS, Gore JC. Validation of diffusion tensor

383 MRI-based muscle fiber tracking. Magn Reson Med. 2002 Jul;48(1):97–104.

384 20. Heemskerk AM, Sinha TK, Wilson KJ, Ding Z, Damon BM. Repeatability of DTI-based

385 skeletal muscle fiber tracking. NMR Biomed. 2010;23(3):294–303.

386 21. Schenk P, Siebert T, Hiepe P, Güllmar D, Reichenbach JR, Wick C, et al. Determination

387 of three-dimensional muscle architectures: Validation of the DTI-based fiber tractography

388 method by manual digitization. J Anat. 2013;223(1):61–8.

389 22. Palisano R, Rosenbaum P, Walter S, Russell D, Wood E, Galuppi B. Development and

390 reliability of a system to classify gross motor function in children with cerebral palsy. Dev

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 23: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

23

391 Med Child Neurol. 1997;39(2):214–23.

392 23. Wood E, Rosenbaum P. The gross motor function classification system for cerebral palsy:

393 a study of reliability and stability over time. Dev Med Child Neurol. 2000;42(5):292–6.

394 24. Yeh FC, Verstynen TD, Wang Y, Fernández-Miranda JC, Tseng WYI. Deterministic

395 diffusion fiber tracking improved by quantitative anisotropy. PLoS One. 2013;8(11):1–17.

396 25. Agur AM, Ng-Thow-Hing V, Ball KA, Fiume E, McKee NH. Documentation and three-

397 dimensional modelling of human soleus muscle architecture. Clin Anat. 2003;16(4):285–

398 93.

399 26. Hodgson JA, Finni T, Lai AM, Edgerton VR, Sinha S. Influence of structure on the tissue

400 dynamics of the human soleus muscle observed in MRI studies during isometric

401 contractions. J Morphol. 2006;267(5):584–601.

402 27. Yushkevich PA, Piven J, Hazlett HC, Smith RG, Ho S, Gee JC, et al. User-guided 3D

403 active contour segmentation of anatomical structures: Significantly improved efficiency

404 and reliability. Neuroimage. 2006;31(3):1116–28.

405 28. Jiang H, Van Zijl PCM, Kim J, Pearlson GD, Mori S. DtiStudio: Resource program for

406 diffusion tensor computation and fiber bundle tracking. Comput Methods Programs

407 Biomed. 2006;81(2):106–16.

408 29. Alexander RM, Vernon a. The dimensions of knee and ankle muscles and the forces they

409 exert. J Hum Mov Stud. 1975;1:115–23.

410 30. Morse CI. In vivo physiological cross-sectional area and specific force are reduced in the

411 gastrocnemius of elderly men. J Appl Physiol. 2005;99(3):1050–5.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 24: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

24

412 31. Fukunaga T, Ichinose Y, Ito M, Kawakami Y, Fukashiro S. Determination of fascicle

413 length and pennation in a contracting human muscle in vivo. J Appl Physiol.

414 1997;82(1):354–8.

415 32. Narici MM V., Landoni L, Minetti a. EA, M.V. Narici L. Landoni a EM. Assessment of

416 human knee extensor muscles stress from in vivo physiological cross-sectional area and

417 strength measurements. Eur J Appl Physiol. 1992;65:438–44.

418 33. Lansdown DA, Ding Z, Wadington M, Hornberger JL, Damon BM. Quantitative diffusion

419 tensor MRI-based fiber tracking of human skeletal muscle. J Appl Physiol. 2007;103:673–

420 81.

421 34. Handsfield GG, Meyer CH, Hart JM, Abel MF, Blemker SS. Relationships of 35 lower

422 limb muscles to height and body mass quantified using MRI. J Biomech. 2014;47(3):631–

423 8.

424 35. Malaiya R, McNee AE, Fry NR, Eve LC, Gough M, Shortland AP. The morphology of

425 the medial gastrocnemius in typically developing children and children with spastic

426 hemiplegic cerebral palsy. J Electromyogr Kinesiol. 2007 Dec;17(6):657–63.

427 36. Noble JJ, Fry NR, Lewis AP, Keevil SF, Gough M, Shortland AP. Lower limb muscle

428 volumes in bilateral spastic cerebral palsy. Brain Dev. The Japanese Society of Child

429 Neurology; 2014 Jun 18;36(4):294–300.

430 37. Barber L, Barrett R, Lichtwark G. Passive muscle mechanical properties of the medial

431 gastrocnemius in young adults with spastic cerebral palsy. J Biomech. Elsevier;

432 2011;44(13):2496–500.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 25: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

25

433 38. Shortland AP, Harris C a, Gough M, Robinson RO. Architecture of the medial

434 gastrocnemius in children with spastic diplegia. Dev Med Child Neurol. 2002 Mar

435 25;44(03):158.

436 39. Moreau NG, Teefey S a, Damiano DL. In vivo muscle architecture and size of the rectus

437 femoris and vastus lateralis in children and adolescents with cerebral palsy. Dev Med

438 Child Neurol. 2009 Oct;51(10):800–6.

439 40. Foran JRH, Steinman S, Barash I, Chambers HG, Lieber RL. Structural and mechanical

440 alterations in spastic skeletal muscle. Dev Med Child Neurol. 2005;47(10):713–7.

441 41. Ward SR, Eng CM, Smallwood LH, Lieber RL. Are Current Measurements of Lower

442 Extremity Muscle Architecture Accurate? Clin Orthop Relat Res. 2009;467(4):1074–82.

443 42. Cromie MJ, Sanchez GN, Schnitzer MJ, Delp SL. Sarcomere lengths in human extensor

444 carpi radialis brevis measured by microendoscopy. Muscle Nerve. 2013 Aug;48(2):286–

445 92.

446 43. Llewellyn ME, Barretto RPJ, Delp SL, Schnitzer MJ. Minimally invasive high-speed

447 imaging of sarcomere contractile dynamics in mice and humans. Nature. 2008 Aug

448 7;454(7205):784–8.

449 44. Smith LR, Lee KS, Ward SR, Chambers HG, Lieber RL. Hamstring contractures in

450 children with spastic cerebral palsy result from a stiffer extracellular matrix and increased

451 in vivo sarcomere length. J Physiol. 2011 May 15;589(Pt 10):2625–39.

452 45. Alipour M, Mithraratne · K, Fernandez · J. A diffusion-weighted imaging informed

453 continuum model of the rabbit triceps surae complex. Biomech Model Mechanobiol.

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 26: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

26

454 2017;16:1729–41.

455 46. Fernandez J, Mithraratne K, Alipour M, Handsfield G, Besier T, Zhang J. Rapid

456 Prediction of Personalised Muscle Mechanics: Integration with Diffusion Tensor Imaging.

457 Springer, Cham; 2017. p. 71–7.

458 47. Arkin AM. Absolute Muscle Power: The Internal Kinesiology of Muscle. Arch Surg.

459 1941;42(2):395–410.

460 48. Pruim GJ, de Jongh HJ, ten Bosch JJ. Forces acting on the mandible during bilateral static

461 bite at different bite force levels. J Biomech. 1980;13(9):755–63.

462 49. Handsfield GG, Bolsterlee B, Inouye JM, Herbert RD, Besier TF, Fernandez JW.

463 Determining skeletal muscle architecture with Laplacian simulations: a comparison with

464 diffusion tensor imaging. Biomech Model Mechanobiol. Springer Berlin Heidelberg;

465 2017;16(6):1–11.

466 50. Sinha U, Sinha S, Hodgson J a, Edgerton R V. Human soleus muscle architecture at

467 different ankle joint angles from magnetic resonance diffusion tensor imaging. J Appl

468 Physiol. 2011;110(3):807–19.

469

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 27: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

Characteris�c Regions of Soleus

Fiber Tracts within Regions

posterior

anterior

marginal

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 28: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

a. normalized muscle volume

CP TD

4.5

3.0

1.5

0

cm3

m kg

b. normalized muscle length

% of

height

20

10

CP TD0

p = 0.340

p = 0.002

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 29: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

normalized fascicle length

30

20

10

CP TD CP TD CP TD0

marginalregion: anterior posterior

% of

height

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 30: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

normalized pcsa

CP TD

0.15

0.20

0.05

0.10

0

0.25

cm2

kg

p = 0.001

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 31: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

penna�on angles

90

60

30

CP TD CP TD CP TD0

marginalregion: anterior posterior

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint

Page 32: Soleus muscle weakness in Cerebral Palsy: muscle architecture … · 20 neuromusculoskeletal condition associated with a non-progressive neurological lesion in the brain 21 caused

.CC-BY 4.0 International licensecertified by peer review) is the author/funder. It is made available under aThe copyright holder for this preprint (which was notthis version posted October 5, 2018. . https://doi.org/10.1101/436485doi: bioRxiv preprint