Introduction

Parkinson’s disease (PD), a chronic neurodegenerative disease of the central nervous system, is clinically characterized by resting tremor, muscle rigidity, bradykinesia, and other abnormal postures and pace (Jankovic 2008; Lees et al. 2009). Besides motor deficits, PD patients also usually experience cognitive declines and visual impairments (Chaudhuri et al. 2006; Diederich et al. 2009). According to previous neurobiological studies (Dauer and Przedborski 2003; Drui et al. 2014), the main pathogenesis of Parkinson’s disease begins in the basal ganglia, and then results in widespread brain abnormalities in PD patients. However, no study has reported abnormal topological properties of brain structural networks in PD patients.

Diffusion tensor imaging (DTI) is an available non-invasive technique to detect white matter (WM) microstructures of the human brain and to estimate connectivity strength between distinct regions in vivo (Le Bihan and Johansen-Berg 2012). Most previous PD-related DTI studies (see the summary in Table 5) focused on detecting alterations in some specified regions or WM tracts indicated by fractional anisotropy (FA) and mean diffusivity (MD). For instance, Karagulle et al. (2008) found lower FA values in the bilateral frontal cortices, supplementary motor area, and anterior cingulum in PD patients. Agosta et al. (2014) found widely decreased FA values in the bilateral superior longitudinal fasciculus, corona radiata, corpus callosum, and uncinate fasciculus of PD patients with cognitive deficits, compared to PD patients without remarkable cognitive deficits. Although these studies provide us a better understanding of the white matter structural alteration in PD, most of them were limited to only detecting the alterations in some specified regions or WM tracts by mapping the alteration of FA and MD, or focused on some specified white matter structural connectivity.

The human brain can be modeled as a network and its topological properties, such as the small-worldness, hub regions, and modules, can be estimated with graph theory (Rubinov and Sporns 2010). Graph theory has been adopted in previous studies (Zalesky et al. 2011; Wang et al. 2013; Tewarie et al. 2014) exploring the abnormal network properties in various brain diseases, including Alzheimer’s disease, multiple sclerosis, and schizophrenia. For PD patients, the descriptions of brain structural network can offer us the possibilities of more systematical analysis of specific brain circuits. Noticeably, recent studies (van den Heuvel and Sporns 2011; Kocher et al. 2015) also proposed that brain networks contain a rich club organization, comprised of highly interconnected regions (namely “hubs”) and can be used to represent a core neuropathology characteristic of neuropsychiatry (Crossley et al. 2014). The rich club connections that constituted among central hub regions form a backbone of global communication. Several multimodal studies (van den Heuvel et al. 2013; Ball et al. 2014; Daianu et al. 2015; Harrington et al. 2015) using the concept of rich club organization have estimated their changes in brain networks across various populations. For instance, Ball et al. (2014) revealed significant disruptions in short-distance cortico-coritical connections (more specified to the connections among non-hub regions) in a premature cohort. Daianu et al. (2015) suggested those connections among hub regions were relatively preserved, while connections among low-degree regions were significantly disrupted in the Alzheimer’s disease patients. However, few studies explored the changes of brain structural networks in PD patients, especially the rich club organizations in PD patients.

With the aim of uncovering abnormal topology of brain networks in PD patients, we constructed brain structural networks for both the patients and controls, and then compared their differences in both topological properties and rich club organizations. Using a network-based statistic (NBS) approach, we identified the disrupted structural connections in PD patients. Moreover, we assessed the robustness of our findings by using different definitions of edge weights, thresholds of streamline counts, and brain parcellation schemes.

Materials and methods

Subjects

Thirty-five idiopathic PD patients (18 F / 17 M, age = 61.26 ± 11.02 years) were recruited between August 2011 and April 2013 from the Guangdong General Hospital in Guangzhou. All patients underwent a standardized clinical examination by two neurologists (LW and YZ) who have specialized in diagnosing movement disorders for more than 10 years. In this study, the PD patients fulfilled the clinical diagnostic criteria of the UK Parkinson’s Disease Society Brain Bank (Daniel and Lees 1993). All patients had an obvious delay in movement initiation, and their clinical behavior performances were recorded in detail (Table S1 in supplementary materials). The severity of disease for each patient was evaluated by using the third part of Unified Parkinson’s Disease Rating Scale (UPDRS-III) and the Hoehn and Yahr scale (H-Y stages, Table S2). The general cognitive abilities for all patients were assessed by using the Chinese Version of the Mini-Mental State Examination (MMSE). The exclusion criteria for the PD patients were as follows: (i) PD caused by other psychiatric and neurological disorders, such as brain stroke, traumatic brain injury, and brain tumor; (ii) taking any antipsychotics; (iii) patients with a progressive supranuclear palsy or multiple system atrophy; and (iv) patients with a MMSE score < 25 because subjects with such low scores were considered to have the cognitive impairments. Additionally, we enrolled 26 healthy subjects as the controls (16 F / 10 M, age = 62.81 ± 10.80 years). The inclusions for the controls were: (i) no history of neurological or psychiatric disorders or brain injuries, and (ii) MMSE score ≥ 25. Table 1 lists the demographic information for all the PD patients and the controls. All subjects were right-handed according to their self-report. The protocol was approved by the Medical Research Ethical Committee of the Guangdong General Hospital. Written informed consent was obtained from each subject prior to the study. Under the care of clinical neurologists, the PD patients who used medications were requested to stop taking any medications for about 12 h before the MRI scanning.

Table 1 Basic demographics and clinical characteristics of the patients with Parkinson’s disease (PD) and the healthy controls (HC) in this study

Data acquisition

All MRI data were acquired on a 3T GE MRI scanner with a standard 8-channel phased-array receiver-only head coil at the Guangdong General Hospital. The DTI data for each subject were acquired using a spin-echo diffusion-weighted EPI sequence with the following parameters: repetition time (TR) = 15,275 ms, echo time (TE) = 75 ms, flip angle (FA) = 90°, field of view (FOV) = 320 × 320 mm2, data matrix = 128 × 128, 25 diffusion-sensitive directions with b value = 1000 s/mm2 and a volume of non-diffusion weighting (b 0) images, slice thickness = 2.5 mm, and 60 axial slices without gap covering the whole-brain. We also acquired high-resolution T1-weighted 3D using rapid interference phase gradient echo flip recovery pulse sequence (FSPGRUSR). The imaging parameters were: TR/TE = 8.4/3.3 ms, FA = 13°, FOV = 240 × 240 mm2, matrix size = 256 × 256, slice thickness = 1 mm, voxel size = 0.94 × 0.94 × 1 mm3, and 146 sagittal slices covering the whole-brain.

Data preprocessing

By using the FSL/FDT Toolbox (Version 5.0; www.fmrib.ox.ac.uk/fsl), we first corrected the eddy current by realigning all the diffusion-weighted images to the b 0 images, and then stripped non-brain tissue from the whole head to reduce the intensity inhomogeneity for each individual DTI data. Then, we processed the corrected DTI data with DTIStudio (Version 3.0.2; https://www.mristudio.org). The WM streamlines for the whole-brain were built based on the Fiber Assignment by Continuous Tracking (FACT) algorithm (Mori and van Zijl 2002), a deterministic tractography approach implemented in DTIStudio. Fiber tracking was terminated at voxels where FA < 0.2 or where the angle between two eigenvectors to be connected by the tracking was greater than 45°.

Network construction

Brain structural network was constructed for each subject according to the Automatic Anatomical Label (AAL) atlas (Tzourio-Mazoyer et al. 2002), which parcellates the whole-brain into 90 regions and is referred to as AAL-90 (Table S2 in supplementary materials). Following previous studies (Gong et al. 2009; Zhang et al. 2015), we took each brain region as a node and the inter-regional WM streamline as the edge to construct a 90-by-90 matrix. To reduce the potential effect of noise or other factors during diffusion tractography caused by data acquirement, preprocessing or processes, we followed previous studies (Lo et al. 2010; Shu et al. 2011) to set a threshold of streamline counts to ensure the major connections among cortical regions. That is, we assumed that any pair of regions i and j were connected if the number of streamlines (NOS) was at least three, or NOS ≥3, between these two regions, and took the mean FA value along the inter-regional streamlines as the edge weights. In this way, we constructed a FA-weighted brain structural network for each subject (the details described in the supplementary materials).

Network analysis

Edge architecture

The edge architecture of brain networks can be characterized by using a rich club organization, which is defined as those connections among hub regions (“rich club”). The “rich club” refers to nodes with higher degrees within brain networks and a higher connectivity strength of inter-nodal connections compared to those composed by randomly selected brain regions (van den Heuvel et al. 2012). We constructed the group-averaged FA-weighted structural connectivity network for each group. In brief, for a given subject group, we first retained the inter-nodal connections of each of these connections was presented in at least 50 % of all the subjects, and then averaged all values for each connection to generate the group-averaged FA-weighted network for this group. In this study, we used the equation that appeared in Tian et al. (2011) to calculate the integrated rich club, feeder and local connections, respectively.

The rich club nodes and the rich club organization were determined according to the following four steps. Step-1, we determined the value of degree k for a node i, counting the number of connections that the node i shared with other nodes in the group-averaged network. For the degree value k, we removed the nodes whose degree ≤ k from the group-averaged network and selected the remaining nodes as the prominent nodes. Step-2, we calculated the number of connections E > k for those among the selected prominent nodes that were connected with each other, and obtained the sum of the edge weights (i.e., sum of FA values), W, of these inter-nodal connections. Step-3, we ranked all of the edge weights (or elements of the group-averaged FA-weighted matrix) in descending order of their values to generate a vector W ranked. We also estimated the sum of the edge weights (or sum of FA values) for those strongest connections in the W ranked, which has the same number as the connections E > k of Step-2. Step-4, we calculated the rich club coefficient ϕ w(k) for the group-averaged FA-weighted network, which is given by the ratio of the results from Step-2 and Step-3 by the following equation:

$$ {\phi}^w(k)=\frac{W_{>k}}{{\displaystyle {\sum}_{l=1}^{E_{>k}}{W}_l^{ranked}}}, $$
(1)

where the superscript ‘w’ indicates the FA-weighted network. We also calculated the normalized rich club coefficient ϕ w norm (k) by:

$$ {\phi}_{norm}^w(k)=\frac{\phi^w(k)}{\phi_{rand}(k)} $$
(2)

where ϕ rand (k) is the averaged rich club coefficient over 5,000 random networks, each preserving the same numbers of nodes, strength, and degree distribution as the real brain network (Rubinov and Sporns 2010). Finally, we computed ϕ w norm (k) at each level of degree k. Using a nonparametric permutation t-test, we determined the statistical significances of these normalized rich club coefficients between the PD patients and the controls by following a previous study (van den Heuvel and Sporns 2011).

For a specified value of degree k, a network is considered to have a rich club organization if ϕ w norm (k) > 1. Following previous studies (Collin et al. 2014a, b), we referred those brain regions whose degrees greater compared to a specified value k as “rich club” nodes, while the remaining brain regions as the non-rich club nodes. Based on these categorizations, the edges of the whole-brain network was classified into three types of connections (Collin et al. 2014a): (i) “rich club” connections, connecting rich club nodes to each other, (ii) “feeder” connections, connecting rich club nodes to non-rich club nodes, and (iii) “local” connections, connecting non-rich club nodes to each other. For a specified degree k, we calculated the connectivity strength for each type of connections in the brain structural networks. That is, all of the FA values belonging to rich club connections (RC), feeder connections (Feeder), and local connections (Local) were separately collected. Using the permutation t-test, we compared the between-group difference in the connectivity strength for each type of the rich club, feeder, and local connections. In order to detect the between-group differences in the length of streamlines (unit: mm) between the PD patients and the controls, we also generated the length of streamlines and compared them (see supplementary materials for details).

Although the statistical test can be used to test the existence of rich club organization in human brain networks, variances in the selected k value might affect the choices of rich club and non-rich club nodes of brain networks. This may result in variances of the between-group comparisons in any of the three types of connections. To avoid the effects of different selected degree k on network analyses, we used the integrated rich club connections (RC int), integrated feeder connections (Feeder int), and integrated local connections (Local int) across the range of degrees from 16 to 21 rather than the connectivity strength of RC, Feeder, and Local at a specified degree k to compare the between-group differences. According to a previous study (Tian et al. 2011), the integrated rich club, feeder and local connections were defined as summations:

$$ {X}^{\mathrm{int}}={\displaystyle \sum_{k=16}^{25}X\left(k\varDelta s\right)}\varDelta s, $$
(3)

where X can be represented any of the rich club connection (RC), feeder connection (Feeder), or local connection (Local) at as specified degree k whose ϕ w norm (k) > 1 (16 ≤ k ≤ 21 in our study, please see Fig. 1a). The degree interval was Δs = 1. For each group, the FA values or length of streamlines corresponding to RC int, Feeder int, and Local int were calculated according to Eq. (3).

Fig. 1
figure 1

Comparison of rich club organization between the PD patients and the healthy control (HC). a Normalized rich club coefficient, ϕ w norm (k). Each symbol “○” in red (blue) indicates the normalized rich club coefficient for the patients (controls) at a specific degree k. The light white area indicates ϕ w norm (k) > 1 from degrees k = 16 to 21 for both the PD patients and the controls. b Integrated local connections, Local int, integrated feeder connections, Feeder int, and integrated rich club connections, RC int. We found significant between-group differences in both Local int and Feeder int, but not in RC int. c Box plot of streamline lengths for three types of integrated connections. The PD patients had significantly deceased length of streamlines in the Feeder int and Local int, but not in the RC int, compared to the controls. The asterisk (*) indicates a significant between-group difference at p < 0.05. The top and bottom of a box plot indicate 25 and 75 % percentiles across all values of each group, the middle line of a box plot represents 50 % percentile. The top and bottom of white line outside a box plot indicate 10 and 90 % percentiles across all values of each group, and outlier is represented by “○”

Network parameters

Global properties of brain networks can be characterized by the following seven parameters: clustering coefficient (C p), shortest path length (L p), global efficiency (E glob), local efficiency (E loc), normalized clustering coefficient (γ), normalized shortest path length (λ), and small-worldness (σ). We utilized three parameters γ, λ, and σ, to measure the small-world property. For a given network, if γ > 1 and λ ≈ 1, or σ > 1, we regarded this network as a small world network (Watts and Strogatz 1998). The definitions and interpretations for all of these global parameters are given in Table 2.

Table 2 Definitions and interpretations of topological parameters for a given network G (N, V)

We also assessed nodal properties of brain structural networks by using the following three parameters: nodal strength (K i), nodal efficiency (E i), and nodal betweenness (B i). Their definitions and interpretations are also listed in Table 2. In this study, both the global and nodal parameters were computed using software packages of BCT (Rubinov and Sporns 2010) and GRETNA (Wang et al. 2015).

Statistical analysis

Comparison of network parameters

First, we conducted a multiple linear regression for each group to regress out the three covariates, the gender, age, and gender-age interaction. Second, we determined significant between-group differences for each of the global and nodal parameters by using a nonparametric permutation t-test (Nichols and Holmes 2002). For a given parameter, we randomly reassigned each subject into any group of the patients or controls letting the two new randomly generated groups generated the same numbers of subjects as the two original groups, and calculated the p-value (two sample two-tailed t-test). This procedure was repeated 5,000 times and resulted in a null distribution of p-values for the given parameter. Thus, the significant two-sided p-value of between-group difference was calculated by its percentile position, that is, the proportion of those p-values that were larger than the real p-value in the 5,000 repetitions. We set p < 0.05 as the level of significant between-group difference for each parameter. In this study, we also respectively examined the statistical significance in RC int, Feeder int, and Local int between the PD patients and the controls using the permutation t-test (5,000 repetitions, p < 0.05). Similarly, we conducted the same statistical comparisons for length of streamlines between the two groups. In this study, we used the FWE-correction (p = 0.05) to correct the false positive results caused by multiple comparisons. Unfortunately, we found non-significant between-group differences in each of these topological parameters when adopting the FEW correction.

Network-based statistic analysis

Network-based statistic (NBS) approach (Zalesky et al. 2010a) was applied to probe those significant different connections between the PD patients and the controls. In short, we first reconfigured brain networks using p < 0.01 as the significance level to discover those supra-threshold connections for each connection. Then we determined any connected components and their corresponding size (number of connections). By means of 5,000 randomized repetitions, we obtained the null distribution of the retained maximal size M of the connected components. Following a study of Zalesky et al. (2010b), we assigned the corrected p-value (two-sided) by calculating the proportion of the number of retained maximal size M that exceeded the real M within the null distribution over 5,000 repetitions.

Relationship between network parameters and clinical variables

We examined the relationship between the connectivity of the NBS-derived subnetwork and each of the clinical variables (MMSE score, H-Y scale, duration of diseases, and UPDRS-III score) for the PD patients. More detailed, we calculated the connectivity of NBS-derived subnetwork by averaging FA values of all structural connections derived from NBS approach for each subject. By taking each of the clinical variables (MMSE score, H-Y scale, duration of diseases, and UPDRS-III score) as the independent variable and the connectivity of NBS-derived subnetwork as the dependent variable, we utilized a Spearman’s rank order approach to estimate their correlation. The significant level was set at p < 0.05. Similarly, we also assessed the relationship between each of the significant changed global or nodal parameters and each of the clinical variables (MMSE score, H-Y scale, duration of diseases, and UPDRS-III score) in the patients. In the calculations, we regressed out three covariates, the gender, age, and gender-age interaction.

Validation: robustness of our main results

The topological properties of brain structural networks may be affected by several factors, mainly included selected definitions of edge weights (Zhong et al. 2015), threshold of NOS in retaining valid network connections (Cheng et al. 2012), and brain parcellation schemes (Wang et al. 2009). In this context, we conducted following strategies to validate the robustness of our main findings.

Definitions of the edge weights

For the given two brain regions, if NOS-3, we retained these values as the edge weights; Otherwise we assumed no connections existed between these two regions. Then, we adopted another two definitions of the edge weights to construct the brain networks, and repeated the network analysis. These two definitions were as follows. i) We took the number of streamlines (NOS) as the edge weights. ii) We used the definition of edge weights adopted in Hagmann et al. (2007),

$$ w(e)=\frac{2}{s_i+s}{\displaystyle \sum_{f\in {F}_e}\frac{1}{l(f)},} $$
(4)

where s i and s j represent any two brain regions i and j, F e represent all streamlines existing these two regions, and l(f) represent the length of streamlines f along its trajectory.

Thresholds of streamline counts

To examine the effects of network sparsity on our findings, we took two different values of NOS to define the threshold of inter-regional connection, NOS > 0 and NOS ≧ 5. After re-constructing the whole-brain networks for all subjects, we then repeated the network analysis using same procedures as described in the subsections of “Network construction” and “Network analysis”.

Nodes based on different brain parcellation schemes

We repeated network analysis by defining the nodes according to two parcellation schemes, the Harvard-Oxford Structural Atlas (HOA-110) (http://fsl.fmrib.ox.ac.uk/fsl/fslwiki/Atlases) and a high-resolution AAL-1,024 atlas. After we obtained a 110-by-110 matrix and a 1,024-by-1,024 matrix, we repeated same procedures as described above. Results were used to test the effect of brain parcellation schemes on network analysis.

Results

Demographic and clinical variables

Table 1 lists the age, gender, MMSE score, and other demographics for both the PD patients and the controls. The PD patients had significantly decreased MMSE score compared to the controls (two-tailed t-test, p = 0.02). No significant between-group difference was found either in age (p = 0.31, two-sided t-test) or in gender (p = 0.43, χ 2 −test).

Disrupted the edge architecture of PD patients

We found, for both the PD patients and the controls, the normalized rich club coefficients ϕ w norm (k) over the range of degrees k from 16 to 21 (Fig. 1a) were larger than 1 and significant between the two groups. Across a series of degrees k, both the integrated feeder connections (Feeder int, p = 1.29e-07) and integrated local connections (Local int, p = 6.17e-06) were significantly decreased in the PD patients compared to the controls (Fig. 1c). No significant between-group difference was found in the integrated rich club connections (RC int, p = 0.179) (Fig. 1c). According to Eq. (3), we calculated the connectivity strength of RC int, Feeder int, and Local int for both the groups. For each k value, the connectivity strength of RC int, Feeder int, and Local int in the PD patients were lower than those of the controls (please see Table 3). In addition, statistical analysis showed that the PD patients had significantly deceased length of streamlines in the Feeder int (p = 0.0056) and in the Local int (p = 0.0258) but not in the RC int (p = 0.300) compared to the controls (Fig. 1d).

Table 3 Selected rich club regions and types of connections (rich club, feeder and local connections) over degrees k from 16 to 21 in both the PD patients and the healthy controls (HC)

Figure 2b shows a significantly decreased structural subnetwork (p = 0.001, corrected) that derived from NBS approach in the PD patients compared to the controls. This subnetwork contains 62 nodes (including 20 hub regions when k > 16) and 76 inter-nodal connections, which are presented in Fig. 2a and listed in Table S3 (in the supplementary materials). Further correlation analysis indicated that the connectivity strength of the NBS-derived subnetwork in the PD patients was significantly negatively correlated with the duration of disease (r = −0.434, p = 0.013), as shown in Fig. 2c.

Fig. 2
figure 2

NBS-derived subnetwork in the PD patients compared to the healthy controls (HC). a The identified rich club (hub) regions whose degree k > 16 for both PD patients and the controls. b Distributions of the rich club, feeder, and local connections within NBS-derived subnetwork. c Significant correlation between the structural connectivity (SC) strength of NBS-derived subnetwork and the duration of disease in the PD patients. The symbol ○ in red (green) represents each subject of the PD (HC) group. For illustrative purposes, we also plotted connectivity strength for the controls

Altered network parameters in PD patients

Figure 3a plots the changed global parameters for both the PD patients and the controls. We obtained γ > 1 and λ ≈ 1, or σ >1, which suggested that both the PD patients and the controls exhibited the small-world attributes. We found significantly decreased E glob (p = 0.038) but increased L p (p = 0.036) in the PD patients compared to the controls (Fig. 3a).

Fig. 3
figure 3

Global parameters of brain structural networks and correlations with clinical variables in PD patients. a Bar plot of global parameters. b Scatter plot of significant positive correlation between L p and the duration of disease for the PD patients. c Same to (b) but for E glob. A significant negative correlation was obtained between E glob and duration of disease. For illustrative purposes, we also plotted global parameters for the controls

We also analyzed the correlations between the global parameters and clinical variables in the PD patients. Figure 3b shows that L p was significantly positively correlated (r = 0.55, p = 0.001) but E glob was significantly negatively correlated (r = −0.55, p = 0.001) with the duration of disease.

We compared between-group differences in nodal parameters. Table 4 lists the identified 16 brain regions with uniformly significantly decreased nodal parameters in the PD patients compared to the controls. Among these regions, five brain regions were located in the right frontal cortex, six in the temporal cortex, and the others in the subcortical, occipital, and parietal cortices.

Table 4 Brain regions showing significantly decreased nodal parameters in the PD patients compared to the healthy controls based on the AAL-90 atlas

For the brain regions listed in Table 4, we also performed correlation analyses between the normalized nodal parameters and the clinical variables. Only five brain regions (SFGmed.L, CUN.R, FFG.L, ORBsup.L, and SOG.L) showed their nodal parameters were significantly correlated with the clinical variables in the PD patients (Fig. 4). In SFGmed.L, we found UPDRS-III score was significantly positively correlated not only with the nodal strength K i (r = 0.53, p = 0.002) but also with the nodal efficiency E i (r = 0.48, p = 0.005). In ORBsup.L, the nodal efficiency E i was significantly positively correlated with MMSE score (r = 0.37, p = 0.037). However, in SOG.L, the nodal betweenness B i was significantly negatively correlated with the duration of disease (r = 0.40, p = 0.025). The nodal efficiency E i in CUN.R was significantly positively correlated with UPDRS-III (r = 0.45, p = 0.009). And the nodal efficiency E i in FFG.L was significantly positively correlated with H-Y scale (r = 0.52, p = 0.003).

Fig. 4
figure 4

Scatter plots of significant correlations between nodal parameters and clinical variables in the PD patients. The symbol ○ in red (green) represents each subject of the PD (HC) group. For illustrative purposes, we also plotted the nodal parameters for the controls. Abbreviations: L (R), left (right) hemisphere; H-Y scale, Hoehn and Yahr scale; UPSRS-III, Unified Parkinson Disease Rating Scale-III; MMSE, Mini-Mental State Examination

Validation: robustness of our results

In this study, we estimated the robustness of detected changes in both the edge architecture and global properties of PD patients. By taking two other definitions of the edge weights, we reconstructed the brain structural networks and repeated the network analysis. Table S4 and Fig. S1 (supplementary materials) shows the change tends of corresponding global parameters in the PD patients, which is consistent with the main results of this study.

When taking NOS > 0 or NOS ≧ 5 as the thresholds of streamlines counts to define the edge weights, we found that Feeder int and Local int were significantly decreased in PD patients compared to the controls (Supplementary Fig. S2). The same results were obtained when we adopted the other two parcellation schemes, HOA-110 and AAL-1024, to construct brain structural networks. We found the distributions of abnormal structural connectivity of the NBS-derived subnetworks (Supplementary Fig. S3) were similar to those generated from the AAL-90 atlas (see Figs. 1 and 3).

Discussion

In this study, there are three main findings: i) We found that the PD patients showed significant reductions of the integrated feeder connections and the integrated local connections compared to the controls, but no significant between-group difference in the integrated rich club connections. ii) Using the NBS approach, we also detected a significantly decreased subnetwork with 62 nodes and 76 inter-nodal structural connections in the PD patients. iii) For network properties, we found the PD patients had significantly increased shortest path length and decreased global efficiency compared to the controls. And for the changed local properties, there were wide disruptions in the frontal and parietal regions.

Disrupted edge architecture in PD

We detected significantly decreased Feeder int and Local int, but not in RC int, in the patients (Fig. 1 and Table 3). This may suggest that the rich club connections, acted as the backbone of edge architecture, are relatively intact in the PD patients compared to the controls. This result also indicated that non-rich club connections (Feeder int and Local int) were prone to be disrupted in the PD patients. This finding of disrupted non-rich club connections was also reported in other brain diseases, such as Huntington’s disease and Alzheimer’s disease (Daianu et al. 2015; Harrington et al. 2015). Ball et al. (2014) constructed brain structural networks based on diffusion images of PD patients and found significantly decreased short-distance cortico-coritical connections (more specified to the connections among non-hub regions) in premature cohort compared to the term-born cohort. Daianu et al. (2015) analyzed diffusion images in patients with Alzheimer’s disease and found that the connections among high-degree regions or hub regions were relatively preserved, while connections among low-degree regions or non-hub regions were significantly disrupted. When selected degree > 16, we identified seventeen rich club regions or hubs, bilateral ORBsup, INS, HIP, LING, FFG, PCUN, PUT, ITG, and right PreCG, for both the PD patients and controls. These results were consistent with several previous fMRI studies (Buckner et al. 2009; Gottlich et al. 2013), which detected prominent hubs in the medical/lateral frontal, lateral parietal, lateral temporal cortex in healthy controls.

In this study, we categorized 90 brain regions (based on the AAL-90 atlas) into sensorimotor, visual processing, attention processing, default mode, and limbic/paralimbic/subcortical (He et al. 2009). However, several fMRI studies (Vincent et al. 2008; Cole et al. 2014) suggested that the frontoparietal network, which was composed by anterior insula, medial frontal cortex, and lateral frontal and parietal regions, were highly overlapped with attention processing module (Scolari et al. 2015). In this context, we redefined the attention processing module as cognitive control/attention module. First, we detected abnormal structural connections between several striatal regions (i.e., thalamus, putamen and pallidum) and cortical regions (i.e., superior frontal regions and anterior cingulum, Fig. 2 and Table S3) in the PD patients. For the PD patients, dopaminergic and serotonergic dysfunctions (Kim et al. 2002; Dauer and Przedborski 2003) that began from the substantia nigra can impair the physiological microstructures of the basal ganglia and subcortical regions, as well as others overall whole brain. These structural abnormalities of the specific striatal- and cortical-regions are also consistent with previous findings of DTI-related studies in PD patients (Table 5). Previous fMRI/PET studies (Helmich et al. 2010; Jahanshahi et al. 2010) have suggested that the striatal-cortical circuits are closely associated with motor ability in PD patients, typically for the freezing of gait (Shine et al. 2013a, b; Peterson et al. 2014). For example, Shine et al. (2013a) summarized a series of concise findings about the freezing behaviors and proposed a model of basal ganglia impairments for explaining the role of frontostriatal circuit. From the evidence of diffusion images in PD patients, Vercruysse et al. (2015) used a tract-based spatial statistic (TBSS) analysis and found the disrupted striatofrontal tracts through putamen, caudate, and pallidum in PD patients with freezing of gait. Thus, we suggest that the disrupted striatal-cortical structural connections might provide a structural basis for understanding motor deficits in PD patients.

Table 5 Overview findings reported in previous DTI studies of patients with Parkinson’s disease (PD)

Meanwhile, we also found disrupted connections between limbic/paralimbic regions (especially for the hippocampus, parahippocampus, and amygdala) and other cortical regions (i.e., bilateral insular and left fusiform, Fig. 2b) in PD patients. The hippocampus and parahippocampus are vital regions for working memory ability (Carlesimo et al. 2012) and the amygdala is responsible for emotion processes (Surdhar et al. 2012). Previous structural imaging studies (Nagano-Saito et al. 2005; Melzer et al. 2012) also suggested that the morphology of these brain regions were impaired in PD patients contrasted with healthy individuals. van Mierlo et al. (2015) indicated that decreased gray matter volumes in the right amygdala and bilateral hippocampus were significantly negatively correlated with increased scores on the Beck Depression Inventory in PD patients. As the deficits of emotion and cognitive ability are the core dysfunction of PD patients, therefore, our current findings of structural disconnections between amygdala/hippocampus and other cortical regions in PD patients may provide evidence to illustrate PD disease related to neuropathology changes.

In addition, we detected abnormal structural connections in the frontal cortex based on the NBS approach (Fig. 2b and Table S3). As we know, abnormal frontal-striatal network (Lewis et al. 2003; Owen 2004; Jahanshahi et al. 2010) is primarily related to motor deficits in PD patients, abnormal fronto-parietal network (FPN) (Williams-Gray et al. 2007; Tessitore et al. 2012) is associated with the disabilities of the goal-directed behaviors and executive functions in PD patients, and abnormal salience network (Cools et al. 2010) is connected with the disrupted top-down attention control in PD patients. In addition, several DTI studies in PD patients (see the summary in Table 5) also reported structural alterations in frontal-related regions. For instance, Zheng et al. (2014) conducted correlations analysis between diffusion properties (FA and MD) using region of interest analysis and scores of various cognitive domains (executive function, language, attention, memory, and visuospatial skills) in PD patients. This study showed that executive function in PD patients was significantly positively correlated with FA values and negatively correlated with MD values in frontal WM tracts, while scores on the attention domain was significantly positively correlated with FA values and negatively correlated with MD values cingulum gyrus. Taken together, we infer that the NBS-derived subnetwork may be an effective indicator for depicting the structural basis of motor deficits and cognitive impairments in PD patients.

Abnormal network parameters

We found both the PD patients and the controls exhibited small-worldness (Fig. 3a), indicating their brain structural networks not only had a high local clustering coefficient but also a short path length. However, for global properties (Fig. 3a), PD patients showed significantly decreased global efficiency and increased shortest path length compared to the controls. Global efficiency represents the averaged ability of inter-nodal information transformation over the whole brain. The finding of decreased efficiency may suggest that the inter-nodal organization of the whole brain is unoptimizable in PD patients compared to controls. Notably, a similar result was also reported in previous studies using other imaging modalities (Skidmore et al. 2011; Olde et al. 2014). More detailed, a previous R-fMRI study (Skidmore et al. 2011) constructed brain functional networks, and detected significantly decreased global efficiency in PD patients compared to controls. Olde et al. (2014) performed a longitudinal study on 43 PD patients using the magnetoencephalography (MEG), and detected lower global efficiency in PD patients. The disrupted global properties may reflect the overall information miscommunication in PD patients.

We also observed significantly decreased nodal parameters (nodal strength K i, nodal efficiency E i, and nodal betweenness B i) in 16 brain regions in PD patients compared to controls (Table 4). Four of them, PreCG.R, SFGmed,L, ORBsup.L, and SFGdor.L, are located in the prefrontal cortex involved with attention, executive, and memory abilities in PD patients (Karagulle et al. 2008; Kamagata et al. 2012). Decreased nodal parameters (K i, E i, or B i) in another four brain regions, including bilateral FFG, right CAL, and left SOG may reflect abnormalities of visual processing in PD patients (Meppelink et al. 2009; Tinaz et al. 2011). Noticeably, all of these three nodal parameters (K i, E i, and B i) in PD patients showed significant decreases in the right olfactory cortex, which is considered as a potential biomarker of early-stage PD by several R-fMRI studies (Rolheiser et al. 2011; Zhang et al. 2011). Thus, our findings of abnormal nodal parameters in patients might provide the locally pathological impairments in Parkinson’s disease.

Correlations between network parameters and clinical variables

Correlation analysis showed the connectivity strength of NBS-derived subnetwork was significantly negatively correlated with the duration of disease in patients (Fig. 2c). This indicated that the longer the patients suffered from PD disease, the weaker the inter-nodal WM connectivity. For global properties, we found the increased shortest path length L p was significantly positively and the decreased global efficiency E glob was significantly negatively correlated with disease duration in PD patients (Fig. 3b). This means that the duration of disease affects the network connectivity of PD patients. These results are consistent with previous studies (Huang et al. 2007; Olde et al. 2014) the duration of illness could worsen brain microstructures of patients with Parkinson’s disease, especially for the midbrain and striatal regions. More detailed, Huang et al. (2007) performed a longitudinal PET study for early stage PD patients at baseline, 24 and 48 moths to compared changed network metabolisms that were associated with motor and cognitive abilities. With increasing duration of disease, they found increasing metabolisms in subthalamic nucles, internal globus pallius, dorsal pons, and primary motor cortex, while decreasing metabolisms in prefrontal and inferior parietal regions. Olde et al. (2014) acquired the magnetoencephalography (MEG) data of 70 PD patients for 4 years and detected differences of network topology using graph theory. Their findings suggested that disrupted local efficient and network decentralization are early characteristics of Parkinson’s disease that continue to progress over time, together with decreased global efficiency.

Limitations

Our study has several limiting factors. First, the selection of brain parcellation schemes for constructing brain networks may bias the results of network analysis. Several previous studies (Wang et al. 2009; Zalesky et al. 2010b) have suggested that it is quite controversial to select which brain parcellation schemes to construct whole-brain networks. And various brain parcellation schemes, including the Harvard–Oxford Atlas (HOA-110) and LPBA40-atlas (LONI Probabilistic Brain Atlas), have been adopted in constructing brain structural networks (Cao et al. 2013). In the current study, we selected three brain schemes, AAL-90, HOA-110, and AAL-1,024, to test the robustness of our results (Supplement Table S4). Second, we collected the DTI data using an 8-channel rather than 32-channel coil as we were limited to realistic situations. Several previous studies (Parikh et al. 2011; Salomon et al. 2014) suggested that using a multi-channel phased-array head coil with a parallel imaging technique can accelerate acquisition and reduce susceptibility artifacts, especially in the frontal cortex. In the future, we need adopt advanced DTI techniques to reduce susceptibility artifacts and to reduce the scanning time. Third, the estimation of inter-regional structural connectivity may be affected by our choice of fiber tracking algorithm. In this study, we took the (FACT) algorithm (Mori and van Zijl 2002), a single-tensor deterministic fiber tracking approach to draw fiber streamlines. Previous studies (Alexander et al. 2001; Behrens et al. 2003) have suggested that the single-tenor model is incapable of resolving complex fiber configurations, such as crossing, kissing, or merged fiber bundles. Therefore, some advanced algorithms or imaging sequences, including a probabilistic tractography algorithm (Behrens et al. 2007) and diffusion spectrum imaging (DSI) technique (Wedeen et al. 2012), were introduced to resolve the question of complex fiber configurations for accurately measuring the fiber tracking. In the end, we did not use any multiple comparisons correction in analyzing the changes of global or nodal parameters. To remedy this issue, we adopted a two-sample t-test with a nonparametric permutation test (1,000 repetitions) to assess the statistical significances in our study (Nichols and Holmes 2002). Our results, to some extent, are more tended to an exploratory study.

In this study, we used diffusion tensor imaging and graph theoretical approach to detect the abnormalities of brain structural networks in PD patients. The structural disconnections of edge architecture in the PD patients were more concentrated among non-hub regions involving the limbic/paralimbic/subcortical and cognitive control/attention modules. For network properties, PD patients showed reduced global efficiency and increased short path length, as well as decreased local properties mainly in the frontal and parietal regions. Thus, our main findings suggest that the backbone of brain networks in PD patients was still intact, but the others were impaired companied with disrupted network properties. Our study also suggests that the edge architecture and topological properties would be an effective way to depict PD-related cognitive and motor dysfunction alterations.