Research Paper Volume 16, Issue 11 pp 10004—10015

Altered intra- and inter-network connectivity in autism spectrum disorder

Rui Zhou1,2, *, , Chenhao Sun3, *, , Mingxiang Sun4, *, , Yudi Ruan2, , Weikai Li2,5, , Xin Gao4, ,

* Equal contribution

Received: December 1, 2023       Accepted: May 3, 2024       Published: June 10, 2024      

https://doi.org/10.18632/aging.205913

Copyright: © 2024 Zhou et al. This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

Objective: A neurodevelopmental illness termed as the autism spectrum disorder (ASD) is described by social interaction impairments. Previous studies employing resting-state functional imaging (rs-fMRI) identified both hyperconnectivity and hypoconnectivity patterns in ASD people. However, specific patterns of connectivity within and between networks linked to ASD remain largely unexplored.

Methods: We utilized a meticulously selected subset of high-quality data, comprising 45 individuals diagnosed with ASD and 47 HCs, obtained from the ABIDE dataset. The pre-processed rs-fMRI time series signals were partitioned into ninety regions of interest. We focused on eight intrinsic connectivity networks and further performed intra- and inter-network analysis. Finally, support vector machine was used to discriminate ASD from HC.

Results: Through different sparsities, ASD exhibited significantly decreased intra-network connectivity within default mode network and dorsal attention network, increased connectivity between limbic network and subcortical network, and decreased connectivity between default mode network and limbic network. Using the classifier trained on altered intra- and inter-network connectivity, multivariate pattern analyses classified the ASD from HC with 71.74% accuracy, 70.21% specificity and 75.56% sensitivity in 10% sparsity of functional connectivity.

Conclusions: ASD showed characteristic reorganization of the brain networks and this provided new insight into the underlying process of the functional connectome dysfunction in ASD.

Introduction

ASD is a diverse neurodevelopmental illness described by the existence of repetitive and limited interests, and challenges in social communication [13]. Earlier research suggested that the symptoms associated with ASD were explained by the essential hypothesis of abnormal neuronal connectivity [1, 4, 5]. However, studies investigating ASD individuals regarding alterations in functional connectivity via the rs-fMRI data have yielded inconsistent findings. Some studies have reported increased hyperconnectivity, while others have observed decreased hyperconnectivity in participants with ASD [6, 7].

Utilizing neuroimaging techniques can contribute to deepening our comprehension of the biological components associated with ASD, complementing behavioral analysis in this domain. Moreover, it holds the capability to identify neural biomarkers for early detection, prognosis, and treatment purposes. In humans, intrinsic functional connectivity serves as an in vivo technique of connectivity [8]. The brain functions as a complex network linked by functional connectivity that allows information to be segregated and integrated efficiently at low wiring costs [9]. Numerous investigations have identified disparities in functional connectivity among typically developing controls. Preliminary studies primarily aimed at the connectivity of DMN (default mode network), salience network and executive control network [10, 11]. The anterior-posterior hypoconnectivity, specifically between parietal and frontal DMN regions, best describe the DMN connectivity [1214]. This has been concluded in several studies through independent component analysis, voxel-wise whole brain analyses, and seed-based analysis. Additional research revealed decreases in brain areas linked to social behavior, language, and communication that are connected to the limbic system [15, 16]. However, Anderson et al. discovered that individuals with ASD exhibited increased connectivity within the DMN, as well as heightened synchronization between the DMN and networks associated with attention [17]. Another study explored the three large-scale networks (DMN, executive control network and salience network) simultaneously using resting-state functional MRI in children and adolescents with ASD. They found that the DMN and executive control network had age-related over-connectivity in young children with ASD but not in adolescents with ASD. This may reflect delayed network segregation in ASD [18] Crucially, several neuroimaging works on ASD have independently targeted the higher-order cortico-cortical functional connectivity. Limited research works have studied the atypical of intra- and inter-network connectivity patterns when considering the entire network as a whole.

The difficulty in synthesizing current literature on ASD functional connectivity arises from the potential for varying analysis approaches to yield conflicting findings. The study herein was focused to explore characteristics and scope of functional disparities within and between networks, utilizing the commonly employed Yeo-network atlas in individuals with ASD. This approach was employed to investigate the similarities and differences in large-scale brain networks between typically developing individuals and ASD diagnosed individuals of similar age. The study findings can improve the insight to neurophysiological basis of ASD, as well as facilitating the development of more precise diagnostic markers and targeted therapeutic strategies.

Materials and Methods

Participants

In this investigation, we utilized the identical dataset sourced from New York University Langone Medical Center as per the earlier research [4, 19]. This dataset was also available in a previously described Autism Brain Imaging Data Exchange initiative (ABIDE I and II; http://fcon_1000.projects.nitrc.org/indi/abide). All individuals involved in the study were given written consent before participating. The sample consisted of 92 children aged 7 to 15, with 45 diagnosed for ASD and 47 serving as HCs. Diagnosis for those with ASD was determined by a clinical team employing ADOS (Autism Diagnostic Observation Schedule) [20]. The subjects enrolled in research met requirements for ASD according to ADI-R (Autism Diagnostic Interview-Revised), following guidelines defined in Diagnostic and Statistical Manual of Mental Disorders, 4th Edition (DSM-IV) [21]. The domains under investigation encompass repetitive or restricted behaviors, language and communication skills, and reciprocal social interactions. The Wechsler Intelligence Scale for Children-III (WISC III), Wechsler Adult Intelligence Scale-III (WAIS III), and/or Wechsler Abbreviated Scale of Intelligence (WASI) were employed to assess Full-scale Intelligence Quotient (FIQ). Participants with any other neuropsychological or neurological disorders were excluded from all groups. The control group had people with no mental disorders’ history who were carefully matched in terms of age and gender to the ASD group.

Acquisition of fMRI data

The rs-fMRI data were attained by employing 3 T scanners manufactured by Siemens. Throughout the 6-minute rs-fMRI scan, participants were instructed to maintain a state of relaxation while fixating their gaze on a centrally positioned white cross displayed on a screen having black background. Gradient-echo EPI (echoplanar imaging) sequence included flip angle = 90°, echo time = 15 ms, repetition time = 2000 ms, 180 volumes, 33 slices and voxel size = 3.0 × 3.0 × 4.0 mm3.

Preprocessing of neuroimaging data

DPABI v4.11 and SPM122 were utilized to preprocess the rs-fMRI data. The Wellcome Trust Centre for Neuroimaging at University College London provided this software package. The first ten time points were excluded to ensure signal equilibrium. Subsequent preprocessing steps involved correcting for head functional images to Montreal Neurological Institute space using SPM12 template. The images were then resampled to isotropic voxels measuring 3mm × 3mm × 3mm and further smoothed using a Gaussian kernel. To mitigate the effects of gradual signal drift and unwanted noise at different frequencies, we employed temporal bandpass filtering and linear detrending techniques (0.01 - 0.1 Hz). Furthermore, we conducted regression analysis to eliminate confounding factors such as Friston-24 head motion parameters, cerebrospinal fluid signals, and white matter signals from BOLD (blood oxygen level-dependent) time series data across all voxels.

Inter- and intra-network connectivity analysis

From AAL atlas, which provides abbreviations for nodes as listed in Supplementary Table 1, rs-fMRI time series signals were divided into 90 ROIs (regions of interest) after undergoing preprocessing. We focused on eight intrinsic connectivity networks including subcortical network (SN) and seven function networks [22]. The 8 canonical neural networks included SN, salience/ventral attention network (SVAN), dorsal attention network (DAN), somatomotor network (SMN), DMN, frontoparietal network (FPN), visual network (VN), and limbic network (LN). Each of the eight networks comprised multiple regions of interest (ROIs). This procedure relied on matching the voxels’ label from Yeo-7 network atlas to AAL atlas. In terms of subject-level analysis, Pearson’s correlation coefficient was calculated to assess the functional connectivity between 2 cortical ROIs through average fMRI time series data from these ROIs. Subsequently, Fisher’s r-to-z transformation occurred for each correlation coefficient. A matrix representing subject-level z-scores for functional connectivity was then constructed, encompassing 90 ROIs from eight distinct functional networks. Note that the negative correlations took only a very small portion and had the ambiguous biological explanation, here we only focused on the positive connections. To facilitate further statistical analyses, we computed the mean z-scores for both intra-network connectivity (e.g., DMN, FPN, LN, VN) and inter-network connectivity (DMN, FPN, DMN, LN, FPN, VN). The GRETNA toolbox3 was applied for intra- and inter-network analysis. Considering the potential impact of sparsity threshold on outcomes, we conducted network analysis using sparsity thresholds of 10%, 20%, and 30% consecutively. The flow diagram of network analysis was described in Figure 1.

The fMRI data preprocessing and network analysis depicted via flow diagram. Abbreviations: AAL, automated anatomical labeling; fMRI, functional magnetic resonance imaging; ASD, autism spectrum disorder; HC, healthy controls.

Figure 1. The fMRI data preprocessing and network analysis depicted via flow diagram. Abbreviations: AAL, automated anatomical labeling; fMRI, functional magnetic resonance imaging; ASD, autism spectrum disorder; HC, healthy controls.

Statistical analysis

Statistical Package for Social Sciences (SPSS, V224) was utilized to compare the neuroimaging and demographic properties of HC and ASD groups. A two-sample t-test evaluated age disparities between groups, while gender variances were analyzed using a chi-square (χ2) test. Additionally, group distinctions in intra- and inter-network connectivity were examined utilizing a two-sample t-test (uncorrected p-value).

Support vector machine (SVM)

Disease classification is made by SVM analysis. There are 3 stages in SVM protocol: feature selection, classifier training, and prediction [23]. SVM initiates by selecting relevant features to construct a reproducing kernel hilbert space (RKHS) for classification purposes. In this study, we specifically identified statistically significant features linked to inter- and intra-network connectivity to be utilized in our SVM model. Subsequently, the SVM algorithm proceeds to train a classifier by constructing an optimal hyperplane that effectively discriminates between different classes classifier which is utilized for predicting the class label of any newly introduced sample. The SVM analysis was performed using the LIBSVM toolkit5 in this study. We utilized leave-one-out cross-validation (LOOCV) to mitigate the issue of a small sample size for assessing mean accuracy rate in distinguishing individuals diagnosed with ASD from HC [24, 25]. The classifier can be assessed through area under the receiver operating characteristic (ROC) curve, specificity, and sensitivity based on cross-validation results. It is worth noting that specificity reflects the accuracy in correctly predicting healthy control subjects, while sensitivity represents the accuracy in correctly identifying individuals with ASD.

Results

Clinical and demographic characteristics

No statistically significant difference was found in FIQ (p = 0.05), gender (p = 0.21), and age (p = 0.78) as shown in Table 1. In ASD group, the mean score of ADI-R was 32.2 ± 14.3 and the mean score of ADOS was 13.7 ± 5.0.

Table 1. Clinical and demographic data in ASD and HC.

ItemsHC (n = 47)ASD (n = 45)p-value
Age (years)11.0 ± 2.311.1 ± 2.30.78b
Gender (male/female)36/1136/90.21a
FIQ (mean ± SD)113.3 ± 14.1106.8 ± 17.40.05
ADI-R (mean ± SD)--32.2 ± 14.3#--
ADOS (mean ± SD)--13.7 ± 5.0--
Values given as mean ± standard deviation (SD).
The p-value was attained by χ2 test, b the p-value was attained by two-sample t-tests.
Abbreviations: ADOS, Autism Diagnostic Observation Schedule; ADI-R, Autism Diagnostic Interview-Revised; FIQ, Full-scale Intelligence Quotient; HC, healthy controls; ASD, autism spectrum disorders; #Two patients had no ADI-R score.

Altered intra- and inter-network connectivity in ASD

In 10% sparsity (Figure 2 and Table 2), we found significant decreases in intra-network connectivity within DMN (t = -2.37, p = 0.020) and DAN (t = -2.61, p = 0.011) in ASD. In addition, ASD depicted reduced inter-network connectivity in DMN-LN (t = -2.34, p = 0.021), SMN-SVAN (t = -2.60, p = 0.011), SMN-FPN (t = -2.07, p = 0.041), VN-FPN (t = -2.02, p = 0.046), and VN-SMN (t = -2.05, p = 0.043), while ASD showed significantly increased inter-network connectivity in LN-SN (t = 4.21, p < 0.001), SVAN-DMN (t = 2.18, p = 0.032) and DMN-SN (t = 2.03, p = 0.045). Notably, only the increased inter-network connectivity of LN-SN in the ASD group could survive multiple comparison corrections (p < 0.05, Bonferroni corrected).

Altered inter- and intra-network connectivity in ASD. Abbreviations: DAN, dorsal attention network; SVAN, salience/ventral attention network; DMN, default mode network; FPN, frontoparietal network; SMN, somatomotor network; VN, visual network; LN, limbic network; SN, subcortical network; ASD, autism spectrum disorder; HC, healthy controls.

Figure 2. Altered inter- and intra-network connectivity in ASD. Abbreviations: DAN, dorsal attention network; SVAN, salience/ventral attention network; DMN, default mode network; FPN, frontoparietal network; SMN, somatomotor network; VN, visual network; LN, limbic network; SN, subcortical network; ASD, autism spectrum disorder; HC, healthy controls.

Table 2. The significant difference of intra- and inter-network analysis.

SparsityConnectionHCASDt valuep-value
10%Intra-network
DAN0.73 ± 0.250.90 ± 0.35-2.610.011
DMN22.96 ± 6.3926.29 ± 7.06-2.370.020
Inter-network
VN-SMN0.27 ± 0.601.19 ± 2.94-2.050.043
VN-FPN0.14 ± 0.350.48 ± 1.07-2.020.046
SMN-SVAN12.53 ± 5.5515.77 ± 6.35-2.600.011
SMN-FPN2.62 ± 1.803.54 ± 2.38-2.070.041
SVAN-DMN3.96 ± 2.782.90 ± 1.772.180.032
LN-DMN14.48 ± 5.3717.20 ± 5.73-2.340.021
LN-SN12.04 ± 5.807.92 ± 3.324.21<0.001
DMN-SN3.32 ± 3.102.11 ± 2.622.030.045
20%Intra-network
DAN0.89 ± 0.321.10 ± 0.43-2.650.009
DMN32.03 ± 6.9736.71 ± 8.29-2.920.004
Inter-network
VN-SMN1.89 ± 1.993.93 ± 6.57-2.000.049
VN-FPN0.85 ± 1.181.64 ± 2.40-2.000.049
SMN-LN11.93 ± 6.539.14 ± 4.412.410.018
LN-DMN25.84 ± 7.2129.72 ± 7.58-2.510.014
LN-SN19.47 ± 7.8513.93 ± 4.294.23<0.001
30%Intra-network
DAN1.01 ± 0.311.67 ± 0.41-2.080.040
DMN36.69 ± 7.4641.51 ± 8.62-2.870.005
Inter-network
SMN-LN16.39 ± 7.2913.71 ± 5.302.020.046
LN-FPN9.80 ± 4.738.06 ± 3.172.090.040
LN-DMN33.21 ± 7.6937.46 ± 8.32-2.540.013
LN-SN23.39 ± 8.2618.32 ± 5.223.530.001
Abbreviations: DAN, dorsal attention network; SVAN, salience/ventral attention network; DMN, default mode network; FPN, frontoparietal network; SMN, somatomotor network; VN, visual network; LN, limbic network; SN, subcortical network; HC, healthy controls; ASD, autism spectrum disorders.

In 20% sparsity (Figure 2 and Table 2), significant decreases in intra-network connectivity within DMN (t = -2.92, p = 0.004) and DAN (t = -2.65, p = 0.009) in ASD were found. We found significantly decreased inter-network connectivity in LN-DMN (t = -2.51, p = 0.014), VN-FPN (t = -2.00, p = 0.049), and VN-SMN (t = -2.00, p = 0.049) in ASD. In addition, ASD showed significantly increased inter-network connectivity in LN-SN (t = 4.23, p < 0.001) and SMN-LN (t = 2.41, p = 0.018). Notably, only the increased inter-network connectivity of LN-SN in the ASD group could survive multiple comparison corrections (p < 0.05, Bonferroni corrected).

In 30% sparsity (Figure 2 and Table 2), we found significant decreases in intra-network connectivity within DMN (t = -2.87, p = 0.005) and DAN (t = -2.08, p = 0.040) in ASD. Significantly decreased inter-network connectivity in LN-DMN (t = -2.54, p = 0.013) were found in ASD. In addition, ASD showed significantly increased inter-network connectivity in LN-SN (t = 3.53, p = 0.001), LN-FPN (t = 2.09, p = 0.040), and SMN-LN (t = 2.02, p = 0.046). Notably, only the increased inter-network connectivity of LN-SN in the ASD group could survive multiple comparison corrections (p < 0.05, Bonferroni corrected).

Through these sparsities, ASD exhibited increased inter-network connectivity in LN-SN, decreased inter-network connectivity in LN-DMN, and decreased intra-network connectivity within DAN and DMN.

Discriminative analysis based on changed inter- and intra-network connectivity.

Classifier trained on modified inter- and intra-network connectivity, along with the LOOCV (Figure 3), achieved a classification accuracy of 71.74%, specificity of 70.21%, and sensitivity of 75.56% in functional connectivity sparsity of 10%. In the case of 20% sparsity, the classification performance yielded 66.30% accuracy, 85.11% specificity, and 55.56% sensitivity. Furthermore, at a sparsity level of 30%, the classification performance resulted in an accuracy rate of 69.57%, specificity rate of 70.21%, and sensitivity rate of 73.33%.

Discriminate analysis for the classification between ASD and HC. Abbreviations: HC, healthy controls; ASD, autism spectrum disorder.

Figure 3. Discriminate analysis for the classification between ASD and HC. Abbreviations: HC, healthy controls; ASD, autism spectrum disorder.

Discussion

The rs-fMRI imaging data was utilized in this research for creating a functional brain network and investigated the modified connectivity patterns within and between networks in ASD diagnosed individuals. Furthermore, machine learning methodologies were used to investigate diagnostic value of this altered pattern in ASD. Our results revealed that ASD showed characteristic reorganization of the brain networks referring to increased inter-network connectivity in LN-SN, decreased inter-network connectivity in LN-DMN, and decreased intra-network connectivity within DAN and DMN. This altered pattern could serve as a potential biomarker for ASD.

Earlier works utilizing rs-fMRI in human brains have identified several prominent networks that exhibit intrinsic connectivity and are associated with visual, motor, auditory, memory, and executive processes. Regarding ASD, three fundamental neurocognitive networks have received considerable attention: the salience network, Frontoparietal Network (FPN), and Default Mode Network (DMN) [26]. The DMN primarily encompasses regions such as inferior parietal cortex, precuneus, medial prefrontal cortex, and posterior cingulate cortex (PCC). Extensive work has been conducted to investigate DMN connectivity in relation to elucidating the hypothesis of Theory of Mind (ToM) regarding ASD pathogenesis [27]. ToM hypothesis relates to the ability of a person to recognize subjective mental states of others, including intentions and perspective, and if scenario is hypothetical or real [28]. ToM hypothesis pertains to an individual’s capacity to comprehend subjective cognitive states of others, encompassing intentions and perspectives, regardless of whether situation is hypothetical or actual [20]. Additionally, the hypothesis of ToM proposes that ASD diagnosed individuals, a deficient or underdeveloped ToM, that hinders their capacity to deduce mental conditions of others - a fundamental aspect of social interaction [29].

In our study, ASD showed significant decreased intra-network connectivity within DMN. Previous works have investigated the degree of ToM impairment in ASD and observed the hypoconnectivity in DMN to evaluate the possible neural basis for the theory [27, 30, 31]. Assaf et al. investigated role of altered functional connectivity within DMN through independent component analysis [30]. ASD individuals exhibited reduced connectivity between medial prefrontal cortex and precuneus, and other core areas of DMN, which aligns with our findings. Notably, we observed an inverse relation between connectivity of these regions, and extreme communication and social declines in patients, as assessed by Autism Diagnostic Observational Schedule and Social Responsiveness Scale [32]. Another study based on PCC-seed analysis also demonstrated that weaker connectivity within the DMN linked to specific ASD impairments [33]. However, Anderson and colleagues proposed hyperconnectivity within DMN and enhanced inter-network synchrony between attentional networks and DMN in ASD [28]. Redcay and colleagues examined 4 discrete networks (FPN, cerebellar network, cingulo-opercular network, and DMN) in ASD based on graph theory. Minimal differences were found in the adolescent males between ASD and controls [34]. The variations in results can be attributed to heterogeneous nature of ASD, fMRI scanning parameters and analysis strategy. In addition, the decreased connectivity within DAN was also found in our study. DAN comprises vital nodes in frontal eye fields and bilateral intraparietal sulcus, and regulates the intentional, goal-oriented top down “endogenous” attention [35]. Studies on attention in individuals with ASD have identified varying degrees of attention deficits. Pruett and colleagues conducted an attention orienting task, which depicted that autism children had increased eye movements and slower response times during visual orientation in comparison to typically developing individuals [36, 37]. Fitzgerald and his team employed psychophysical interaction analysis for investigating the impact of tasks on brain functional connectivity, evaluating the degree of synchronization between different regions while performing the task [38]. Analysis conducted by DAN revealed a decrease in coherence among brain regions responsible for regulating goal-oriented, internally-driven attention in individuals with ASD. The outcomes were in accordance with our ASD results.

In this study, we found that ASD also showed increased inter-network connectivity in LN-SN in comparison to the adolescents developed typically. Hyperconnectivity of subcortical regions in ASD individuals was initially demonstrated by Di Martino and colleagues through conducted on school-age children [39]. The increased connectivity was found between heteromodal associative and limbic cortex and the striatum. Another study examining subcortical connectivity also found hyperconnectivity between frontal cortex and striatum [40]. The present study has observed an elevated level of hyperconnectivity between primary sensory regions and the salience network in individuals diagnosed with ASD. Furthermore, it was found that the extent of this heightened connectivity is positively linked to symptom severity, demonstrating that impaired sensory connectivity can contribute to the manifestation of autistic behaviors [41]. These findings provide evidence supporting an emerging hypothesis that proposes reduced segregation among functional networks of ASD individuals and enhanced networks connectivity. The presence of increased diffuse connectivity allows for the coexistence of reports on both hypo- and hyper-connectivity, as it attenuates traditionally strong connections while introducing novel connections.

Comprehending and deciphering brain findings related to ASD poses intricate difficulties. Various constraints are associated with this research. First, only a cross-sectional design was employed in this study and conducted on small sample size of individuals with ASD. To strengthen our outcomes, we anticipate expanding sample size and conducting a multicenter longitudinal follow-up study, which is imperative for further investigation. Second, we exclusively focused on studying functional networks. The integration of structural and functional analyses represents a biologically sound approach that confers methodological advantages in the field of neuroimaging research on ASD. Employing multimodal imaging analysis would enhance our thorough perception of relationship between disease symptoms and imaging biomarkers in ASD individuals. Third, future investigations aiming to utilize connectivity-based measurements for preclinical goals, like establishing biologically-grounded ASD subgroups or predicting treatment response, must be taken into consideration.

Conclusions

Our research findings have unveiled unique reorganization patterns in brain networks of ASD people, providing novel insights into the underlying mechanism behind functional connectome dysfunction observed in ASD.

Supplementary Materials

Supplementary Table 1

Author Contributions

Rui Zhou, Mingxiang Sun and Chenhao Sun designed the study. Yudi Ruan and Chenhao Sun acquired the MRI data. Weikai Li and Xin Gao analyzed and interpreted the results of the data, and drafted the manuscript. All authors contributed equally to this work and approved the final manuscript.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

Ethical Statement and Consent

This study is based on data sourced from New York University Langone Medical Center and available in the Autism Brain Imaging Data Exchange initiative (ABIDE) dataset used in previous investigation research. All individuals involved in the study were given written consent before participating.

Funding

This study was funded by National Natural Science Foundation of China (82102023, 81830059, 82227807, 62306051); Shanghai Committee of Science and Technology Project (21Y11906100); Research project of Shanghai Municipal Health Commission (20224Y0340, 2022JC017); Joint Training Base Construction Project for Graduate Students in Chongqing (JDLHPYJD2021016); Group Building Scientific Innovation Project for universities in Chongqing (CXQT21021); The Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202300718); the Open Program of Hubei Province Key Laboratory of Molecular Imaging (2023fzy023) and Scientific Research Subjects of Shanghai Universal Medical Imaging Technology (UV2021Z01, UV2022M06, UV2023Z01, UV2024M03).

Footnotes

http://rfmri.org/dpabi/

http://www.fil.ion.ucl.ac.uk/spm/soft-ware/spm12

http://www.nitrc.org/projects/gretna/

http://www.spss.com/

http://www.csie.ntu.edu.tw/~cjlin/libsvm/

References

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