Introduction

Neuronal migration is one of the most crucial steps of neurodevelopment. Any disturbance of this process can lead to cortical dysgenesis, i.e., abnormal development of the cerebral cortex.1 Disrupted-in-schizophrenia 1 (DISC1) is an extensively studied molecule in its regulation of neuronal migration and other stages of neurodevelopment, as well as its mediation of higher brain functions.2 It performs its role through its interactions with multiple other proteins.3 Although genetic implication of DISC1 has turned out to be very specific to the original Scottish pedigree, and not for sporadic cases of schizophrenia, biological perturbation of DISC1 clearly leads to neurodevelopmental and behavioral deficits.4 Therefore, the importance of DISC1, originally proposed on the basis of a rare genetic case, is very high in neurobiology.

There is considerable evidence for interplay between transcriptional and post-transcriptional regulators of gene expression underlying the molecular pathology of various diseases.5 MicroRNA (miRNA) and transcription factors (TF) in miRNA-TF feedback loops strongly regulate each other and many target genes.5 Furthermore, miRNAs and TFs in these feedback loops have higher in-degree and out-degree in comparison to those that are not involved in these feedback loops.6 Thus, the miRNA-TF feedback loop is suggested as a common mechanism of gene regulation at a systems level.7

Network models that integrate protein−protein interactions (PPIs) involving DISC1 (the DISC1 interactome) and the regulation of expression of genes encoding these proteins by miRNA-TF feedback loops can advance our understanding of the complex molecular mechanisms that regulate neuronal migration. Several mathematical approaches have been used to model such interactions.8,9,10,11 Boolean network models are one of the most widely used discrete mathematical models in contexts where the biological kinetic parameters are not known12; e.g., colitis-associated colon cancer,13 apoptosis,14 survival signaling of T-cell large granular lymphocyte leukemia15 and p53 regulatory circuit.16 Using real-world data, Boolean network models allow simulation of interactions between genes and identification of the most important gene regulatory elements in the network.17,18 Multiple regulators determining the activity of a given gene are combined using logical operators and a Boolean function determines the next state of a gene, based on the current state of its regulators. Boolean models provide insight about the dynamics of biological systems such as multiple cell fates and cellular phenotypes.19

In this study, we constructed a Boolean network integrating the DISC1 interactome that mediates neuronal migration using experimental evidence curated from relevant databases. We determined the stable-states reached by PPIs between proteins constituting the DISC1 interactome regulating neuronal migration and determined the modes of neuronal migration that are facilitated or inhibited in each stable state. We then demonstrated how perturbation of each miRNA, gene, and TF affects neuronal migration in each functional module (FM). We also examined the influence of miRNA and TF in feedback loops regulating two or more FMs of migration. Finally, we constructed a comprehensive network model of regulation of proteins in the DISC1 interactome by miRNA-TF feedback loops, which can provide a framework for further examination of the molecular mechanisms that regulate neuronal migration in experimental studies.

Results

DISC1 protein−protein interactions/functional modules (the DISC1 interactome) involved in neuronal migration

We observed that DISC1 interacts with 87 proteins as well as with DISC1 fusion partner 1 (DISC1FP1) regulating various neurodevelopmental functions (Supplementary Table S1 and Supplementary References). Of these, 18 proteins regulated eight FMs of neuronal migration through DISC1 PPIs. From these PPIs, we generated a composite DISC1 interactome, integrating the above FMs (Fig. 1).

Fig. 1
figure 1

a DISC1 interactome that regulates neuronal migration through eight functional modules; b Method followed for generating the interactome. DISC1 interacts with 18 proteins forming eight functional modules (FM) that mediate neuronal migration. FM1 mediates radial migration of immature neurons, FM2 mediates radial migration of basal progenitors, FM3 mediates radial migration of newborn neurons, FM4 mediates radial migration of neuronal precursor cells, FM5 mediates radial migration of apical and basal progenitors, FM6 mediates tangential migration of cortical interneurons, FM7 mediates cranial neural crest cell migration and FM8 mediates migration of adult hippocampal progenitors

Identification of miRNA-TF feedback loops that regulate genes encoding the proteins involved in neuronal migration

We curated 402 experimentally validated miRNAs targeting 17 of the above 19 genes (including DISC1) involved in neuronal migration (Supplementary Table S2) (http://zmf.umm.uni-heidelberg.de/apps/zmf/mirwalk2/). No experimentally validated miRNAs were found for DAB1 and SOX10 genes. Then, using ChEA datasets, we found 32 experimentally validated TFs regulating 18 of the 19 genes involved in neuronal migration (Supplementary Table S3). No experimentally validated TFs were found that regulated MYH2 expression. From the 402 experimentally validated miRNAs and 32 experimentally validated TFs (Supplementary Table S3), we identified 21 miRNA-TF feedback loops comprising 17 miRNAs and 11 TFs that regulate gene expression in the 8 FMs (Fig. 2, Supplementary Tables S4S15 & Supplementary Figs. S1, S2). Eight of the 21 miRNA-TF feedback loops regulated two or more FMs of migration (Supplementary Table S16 and Fig. 3).

Fig. 2
figure 2

miRNA-TF feedback loops regulating each functional module (FM) of neuronal migration. a miRNA-TF feedback loops that regulate FM1, which mediates radial migration of immature neurons; b miRNA-TF feedback loops that regulate FM2, which mediates radial migration of basal progenitors; c miRNA-TF feedback loops that regulate FM3, which mediates radial migration of newborn neurons; d miRNA-TF feedback loops that regulate FM4, which mediates radial migration of neuronal precursor cells; e miRNA-TF feedback loops that regulate FM5, which mediates radial migration of apical and basal progenitors; f miRNA-TF feedback loops that regulate FM6, which mediates tangential migration of cortical interneurons; g miRNA-TF feedback loops that regulate FM7, which mediates cranial neural crest cell migration; and h miRNA-TF feedback loops that regulate FM8, which mediates migration of adult hippocampal progenitors

Fig. 3
figure 3

miRNA-TF feedback loops that regulate two or more functional modules of neuronal migration. a miR155-STAT3 feedback loop that regulates functional modules 2, 3, 6, and 8; b miR10b-KLF4 feedback loop that regulates functional modules 2 and 4; c miR17-STAT3 that regulates functional modules 2 and 4; d miR20a-STAT3 feedback loop that regulates functional modules 2 and 4; e miR17-CCND1 and miR20a-CCND1 feedback loops that regulate functional modules 2 and 4; f miR20b-STAT3 feedback loop that regulates functional modules 2 and 4; g miR103a-CREB1 feedback loop that regulates functional modules 2–4

Simulation results

Attractor analysis

Starting with 219 initial states (19 proteins mediating migration), we obtained 18 steady-state attractors (i.e. state with one transition leading to the same state) (Table 1). These attractors have differential activity of one or the other of the 19 proteins and represent states wherein neuronal migration is facilitated in all or some of the FMs (n = 14) or inhibited in all the eight FMs (n = 4). We found a high frequency of occurrence of these 18 attractors in the perturbed networks (3000 perturbations), thereby confirming the robustness of these states (Table 1).

Table 1 Attractors (stable-states) reached from 219 initial states by the 19 proteins regulating neuronal migration

DISC1, NDEL1, LIS1, CC141, MYH2, ACTB, AKT1, and GRDN were activated in all 14 states that facilitate migration (attractors 1–11, 14–16) while GSK3B, RHEB, SOX10, and FOXD3 were not activated in all these states. Among the 14 states facilitating migration, proteins in all eight FMs were activated only in the attractor 1 state, while in the other attractor states, one (attractor states 2, 3, 5, and 9), two (attractor states 4, 6, 7, 10, 11, and 14) or three (attractor states 8, 15, and 16) FMs were not activated, affecting neuronal migration in that particular module but facilitating migration in all the other FMs.

GSK3B, FOXD3, SOX10, and RHEB were activated in all four attractor states inhibiting migration in all eight FMs (attractors 12, 13, 17, and 18), while DISC1, PCM1, BBS4, DIXC1, NDEL1, A4, LIS1, DAB1, CC141, MYH2, ACTB, AKT1, and GRDN were not activated in these four states.

From the above, it may be inferred that the most critical proteins within the DISC1 interactome facilitating neuronal migration are DISC1, NDEL1, LIS1, CC141, MYH2, ACTB, AKT1, and GRDN, while GSK3B, FOXD3, SOX10, and RHEB are the most critical inhibitory proteins (Fig. 1 and Table 1). Interestingly, these critical proteins that facilitate and inhibit migration were not simultaneously upregulated in any of the 18 attractor states.

Node perturbation analysis for each functional module of migration

We determined the influence of miRNA-TF feedback loops on neuronal migration by overexpression (OE) and knockout (KO) of each node (gene/miRNA/TF) in each FM. Using experimental evidence, perturbations that upregulate (100%) or downregulate (0%) neuronal migrational processes were identified for each FM, as shown in Supplementary Figs. S3–S34.

Given that TF can activate or repress miRNA and target gene expression, we performed four different simulations (Simulations 1–4), as detailed in the Methods section. Results of simulations 1 and 3 were similar in each FM as TF activates gene expression in both. Similarly results of simulations 2 and 4 were similar as TF represses gene expression in both. The FMs in which perturbation of nodes resulted in upregulation of migration are depicted in Fig. 4. In FM1, during simulations 1 and 3, OE of STAT3 upregulated migration (100%) (Supplementary Figs. S3, S5), while in simulations 2 and 4, OE of STAT3 downregulated migration (0%) (Supplementary Figs. S4, S6). This shows major influence of TF STAT3 in the regulation of FM1 through regulation of the expression of PCM1, BBS4, and DISC1. In FMs 2–6, OE or KO of any node did not result in upregulation of migration (Supplementary Figs. S7–S10 (FM2); S11–S14 (FM3); S15–S18 (FM4); S19–S22 (FM5); S23–S26 (FM6)); this indicates that miRNA-TF feedback loops may be responsible for downregulating the neuronal migration process in these FMs. In FMs 7 and 8, DISC1 OE resulted in upregulation of migration (100%) in all four simulations (Supplementary Figs. S27–S30 (FM7) and Supplementary Figs. S31–S34 (FM8)). This facilitatory effect of DISC1 OE on migration is mediated through repression of the inhibitory SOX10 and FOXD3 in FM7 and RHEB in FM8. This shows that DISC1 OE surmounted the regulatory control by miRNA-TF feedback loop, thereby upregulating migration in FMs 7 and 8.

Fig. 4
figure 4

Perturbed nodes in functional module 1 (FM1), functional module 7 (FM7), and functional module 8 (FM8) that upregulate migration. Depending upon the type of simulation, perturbation of nodes (overexpression/knockout) in a FM1, b FM7, and c FM8 resulted in upregulation of migration (see text for details). Green-colored nodes represent nodes, which when perturbed, did not upregulate migration

Perturbation of miRNAs

miR223 (regulating TAL1 expression) and miR320a (regulating TCF3 expression) and the TFs: TAL1, TCF3 and STAT3 in FMs 7 and 8 showed pivotal role of these miRNAs and TFs in either upregulation or downregulation of migration by regulating DISC1 expression. In simulations 1 and 3, KO of miR223 or miR320a and OE of STAT3 or TCF3 or TAL1 showed upregulation of migration (100%), as DISC1 was expressed (Supplementary Figs. S27, S29 (FM7) and S31, S33 (FM8)). In simulations 2 and 4, KO of miR320a or miR223 or OE of TCF3 or TAL1 or STAT3 resulted in downregulation (0%) of migration in FMs 7 and 8, as DISC1 was not expressed (Supplementary Figs. S28, S30 (FM7) and S32, S34 (FM8)). However, perturbation of miRNAs regulating STAT3 expression (miR155 or miR106a or miR20a or miR17 or miR103a or miR125b or miR20b) showed neither upregulation nor downregulation of migration compared to perturbation of miR320a (regulating TCF3) or miR223 (regulating TAL1 expression), as STAT3 was expressed only when all the miRNAs regulating its expression in feedback loop were repressed (Supplementary Figs. S27–S30 (FM7) and Supplementary Figs. S31–S34 (FM8)).

Analysis of the perturbation results of miRNA-TF feedback loops regulating two or more FMs of migration revealed that KO and OE of miRNA or TF in each of these feedback loops (except miR155-STAT3 feedback loop) at time steps t = 0 and t = 140 showed similar effects on neuronal migration in the FMs, i.e. migration was not upregulated (100%) but was either downregulated (0%) or regulated between 0 and 100% (Supplementary Figs. S35S41). This similar pattern of regulation of neuronal migration observed in the FMs reflects similar mechanisms by which different modes of neuronal migration coexisting in the developing central nervous system are regulated. However, in the miR155-STAT3 feedback loop regulating FMs 2, 3, 6, and 8, OE of STAT3 (simulations 1 and 3) resulted in upregulation (100%) of migration only in FM8 (migration of adult hippocampal progenitors), as STAT3 upregulates DISC1 expression that represses RHEB expression and mediates migration (Supplementary Fig. S42). Though STAT3 upregulates DISC1 expression in FMs 2, 3, and 6, expression of other genes is also crucial for mediation of neuronal migration in these modules. This finding indicates a critical role of STAT3 in regulating migration of adult hippocampal progenitors (repressing RHEB expression by activating DISC1 expression).

Thus, from the results of node perturbation analysis, we infer that the miRNA-TAL1, miRNA-TCF3, and miRNA-STAT3 feedback loops play a major role in upregulating (100%) neuronal migration in FMs 1 (Supplementary Figs. S3–S6), 7 (Supplementary Figs. S27–S30) and 8 (Supplementary Figs. S31–S34). Perturbation of these feedback loops in other FMs (2, 3, 4, 5, and 6) showed the role played by these feedback loops in negative regulation of migration (Supplementary Figs. S7–S10 (FM2); S11–S14 (FM3); S15–S18 (FM4); S19–S22 (FM5); S23–S27 (FM6)).

Integrating these regulatory interactions, we constructed a comprehensive network model showing regulation of gene expression in each FM by these feedback loops (Fig. 5). Apart from regulating DISC1 expression, TFs in these FBLs directly regulated gene expression as seen in FM1 or, both TF and miRNA directly regulated expression of genes as seen in FMs 2–4, 6, and 8. But in FM5, these three TFs only regulated DISC1 expression.

Fig. 5
figure 5

Comprehensive network model of regulation of functional modules of migration by miRNA-STAT3, miRNA-TAL1 and miRNA-TCF3 feedback loops. The figure illustrates the various interactions between genes (central circle), the three most critical TFs, viz., STAT3, TAL1, and TCF3 (middle zone) as well as all possible miRNAs (outer zone) that form feedback loops with these TFs. These three TFs in feedback loops with miRNA are considered critical since they directly upregulate DISC1 expression. The miRNAs along with the above three critical TFs that are involved in upregulation of migration in functional modules 1, 7, and 8 are shown in red fonts. In functional module 1, overexpression of STAT3 upregulates migration in simulations 1 and 3, while it downregulates migration in simulations 2 and 4. In functional modules 2–6, overexpression of each gene or miRNA or TF did not result in upregulation of migration, indicating these miRNA-TF feedback loops exhibit an inhibitory control of the genes in these functional modules. In functional module 7, DISC1 overexpression upregulates migration through repression of the inhibitory SOX10 and FOXD3, while in functional module 8, DISC1 overexpression upregulates migration through repression of the inhibitory RHEB. In both functional modules 7 and 8, knockout of miR320a (that regulates TCF3 expression) and miR223 (that regulates TAL1 expression), or overexpression of TCF3 or TAL1 or STAT3 resulted in upregulation of migration in simulations 1 and 3 and downregulation of migration in simulations 2 and 4. Unlike TAL1 and TCF3, STAT3 is expressed only when all the miRNAs regulating its expression in feedback loops are repressed, and therefore upregulation or downregulation of migration does not occur when any of these miRNAs that regulate STAT3 expression are individually upregulated or downregulated. Finally, apart from their direct regulation of DISC1 expression, TAL1, TCF3, and STAT3 directly regulate expression of PCM1 and BBS4 genes in functional module 1 while STAT3 regulates expression of FOXD3 in functional module 7. Furthermore, these TFs along with the respective miRNAs in feedback loops directly regulate expression of PAFAH1B1, ZNF365, GSK3B, and NDEL1 genes in functional module 2, CDK5 and NDEL1 genes in functional module 3, APP, NDEL1, DAB1, and PAFAH1B1 genes in functional module 4, AKT1, ACTB, and CCDC88A genes in functional module 6 and RHEB gene in functional module 8

Discussion

Using an in-silico Boolean approach, we were able to build a comprehensive network model depicting the regulation of proteins within the FMs of the DISC1 interactome by miRNA-TF feedback loops (Fig. 5). This model posits that depending upon the direction of regulation by TFs, perturbation of either TFs or miRNA in feedback loop affects gene expression in various FMs, which in turn affects PPIs in the DISC1 interactome mediating neuronal migration. Such an approach enabled us to identify the most critical proteins within the DISC1 interactome mediating neuronal migration, viz., DISC1, NDEL1, LIS1, CC141, MYH2, ACTB, AKT1, and GRDN (facilitatory); GSK3B, SOX10, FOXD3, and RHEB (inhibitory); as well as the most critical miRNA-TF feedback loops regulating the DISC1 interactome viz., miR223-TAL1, miR320a-TCF3, and miR155-STAT3.

The results of this in-silico study are robustly supported by published experimental evidence. The critical role of DISC1 in neuronal migration and its association with various neuronal migration and neuropsychiatric disorders is well established.3 DISC1 has been shown to interact with NDEL1 and LIS1 that are integral components of dynein motor protein complex, which regulates radial migration. This complex couples nucleus and centrosome, an essential step in radial migration of cortical excitatory neurons.20 DISC1/GSK3B interaction determines the transition of neural progenitor self-renewal to neuronal migration in the developing brain.21 In FM2 (Fig. 1), when DISC1 inhibits GSK3B at the distal end, LIS1 is retrogradely transported along the microtubules, aiding in migration.22 MYH2, a motor protein, regulates centrosomal positioning by associating with CC141 and DISC1.23 MYH2 and dynein act in concert by interacting with specific cytoskeletal elements.24 Further, NDEL1 and PAFAH1B1 (LIS1) have been strongly linked to lissencephaly, microcephaly,25 and Miller−Dieker syndrome26 while MYH2 mutations have been reported as a rare cause of distal arthrogryposis type 5.27

DISC1 has complex interactions with AKT1 and GRDN in a network that also involves GSK3B, whereby incorrect neuronal localization resulting from over-extended migration into the outer granule cell layer and the molecular cell layer due to enhanced AKT1 signaling is prevented.28,29 ACTB, a structural protein involved in cytoskeletal organization,30 interacts with DISC1, AKT1, and GRDN regulating tangential migration of cortical interneurons31 (Fig. 1). Furthermore, AKT1 and GRDN are major regulatory proteins of mammalian target of rapamycin (mTOR) signaling, coordinating brain morphogenesis.32

DISC1 regulates cranial neural crest (CNC) cell migration and differentiation through the transcriptional repression of FOXD3 and SOX10 involved in glial differentiation in CNC cells.33 RHEB, inhibited by DISC1 in FM8, is an activator of mTOR signaling. Deletion of Rheb was found to rescue neurons from migratory defects, as mTOR signaling was not activated. Similarly, when mTOR signaling was inhibited in newborn neurons, the neurons were rescued from DISC1 deficiency-induced migratory defects.34

The genes encoding the above proteins that play a critical role in migration through their interactions with DISC1, viz., NDEL1, PAFAH1B1 (LIS1), CCDC141 (CC141), AKT1, ACTB, CCDC88A (GRDN), GSK3B, SOX10, and RHEB have been shown to be associated with schizophrenia35 (see Supplementary References 5256,60,61 for original articles), autism36 (see Supplementary References 5762 for original articles), Alzheimer’s disease37 and bipolar disorder.38

The most important finding to emerge from this in-silico study is the major role played by three miRNA-TF feedback loops viz., miR223-TAL1, miR320a-TCF3, and miR155-STAT3, in regulating the DISC1 interactome mediating neuronal migration. To the best of our knowledge, no experimental studies have so far linked these TFs with the transcriptional control of DISC1 interactome. From our simulation results, we have found evidence for the role of these TFs as primary factors (through feedback loops with miRNAs) in regulation of the DISC1 interactome involved in migration. This new insight generated from our study highlights the role of such in-silico methods for discovery of key TFs that could constitute important targets for further experimental validation. Identification of such TFs in experimental studies is challenging owing to the large set of regulatory factors (such as genes, miRNAs, and TFs) involved in a given function, often without converging evidence. As an example, in the current study we curated 18 DISC1-interacting proteins that were shown to be involved in migration. This would mean an almost impossible task of testing out an immense number of interactions between these 19 proteins and their regulatory miRNAs and TFs in a systematic way to find critical regulatory factors mediating neuronal migration. We were able to identify these potentially important factors by the use of Boolean modeling without having to explore each interaction independently.

Though the evidence generated by our study for the role of STAT3, TAL1, and TCF3 in the regulation of the DISC1 interactome mediating neuronal migration is a new discovery, there is evidence from existing literature that supports the role of these TFs in neuronal migration as well as in pathophysiology of various migrational disorders in neuropsychiatry. STAT3 pathway has been shown to promote neurite outgrowth and neuronal migration by inhibiting apoptosis.39 Expression studies have shown upregulation of miRNAs such as miR155, miR17, miR20a targeting STAT3 in superior temporal gyrus40 and miR20b in dorsolateral prefrontal cortex (DLPFC) post-mortem samples from patients with schizophrenia.41 STAT3 was found to be one of TFs enriched in autism, X-linked intellectual disorder, ADHD and schizophrenia (AXAS) PPI network. Moreover, the SLC25A12 gene associated with autism has STAT3 binding site.42 STAT3 regulates migration by inhibiting the activity of stathmin, a microtubule destabilizing protein.43 TAL1 is one of the TFs involved in GABA-ergic neuronal development, a process that includes patterning of neuroepithelium, specification and generation of post-mitotic neural precursors, differentiation and migration.44 TAL1 has been shown to be differentially regulated in people with autism compared to healthy subjects.45 In another study, miR223 regulating TAL1 expression was found to be upregulated in post-mortem DLPFC samples in patients with schizophrenia.40 TCF3 has been found to regulate vertebrate head formation and patterning.46 Its role in migration was demonstrated in an earlier report which showed recapitulation of neural crest migration defects induced by 6-bromoindirubin-3-oxime, through activation of LEF1/TCF3 signaling.47 Further, miR320a regulating TCF3 expression was found to be downregulated in peripheral blood of patients with schizophrenia.48

This in-silico study provides new insights into the molecular mechanisms that underlie various FMs of neuronal migration involving DISC1. We have explained our simulation results based on existing experimental evidence. This model provides a computationally derived framework for further experimental validation studies that could enhance our understanding of processes involved in neuronal migration. The Boolean network model of the DISC1 interactome from the present study can be expanded to integrate all known transcriptomic regulatory elements regulating migration. Using pathway enrichment analysis tools,49,50 we can determine the multiple pathways regulated by the key TFs, viz., TAL1, TCF3, and STAT3 during neuronal migration. Using brain expression datasets from Brain Span51 and Human Brain Transcriptome,52 we can then determine the genes that are coexpressed along with these regulatory TFs during neuronal migration. Proteins or regulatory factors in a transcriptional network that have a high degree of connectivity are referred to as “hub” proteins/regulatory factors. These hub proteins/regulatory factors are known to be densely interconnected to each other forming “rich clubs” in the interactome.53,54 Elucidation of the functions of these rich clubs in the transcriptional network of the DISC1 interactome can enhance our understanding of regulatory factors involved in neuronal migration. For example, rich clubs in the network of dysregulated proteins in cerebral ischemia were shown to regulate coagulation and complement cascade, indicating the role of these proteins in the causation of this condition.55

Using molecular experimental methods, it is extremely challenging to identify all the regulatory factors involved in various stages of neurodevelopment. A network model similar to the transcriptional network of the DISC1 interactome can be developed, integrating all known transcriptomic elements regulating all the various stages of neurodevelopment. With the vast amount of molecular data available from projects such as ENCODE (Encyclopedia of DNA Elements),56,57 modENCODE (Model Organism ENCyclopedia Of DNA Elements)58,59 and REMC (Roadmap Epigenomics),60 we can additionally incorporate epigenetic regulation of specific molecular/cellular processes related to neurodevelopment into the model. Building such an in-silico mechanistic model comprising of several functional modules regulating molecular and cellular processes could provide a holistic framework to understand how these processes coordinate and regulate various stages of neurodevelopment. This framework also captures the state of the critical elements that would stabilize or disrupt the neurodevelopmental network, providing clues about the transcriptional and epigenetic regulation machinery in neurodevelopmental disorders. These mechanistic models can then be tested using carefully designed molecular biology experiments.

Methods

Generation of the composite DISC1 interactome

Initially, we explored proteins interacting with DISC1 using GeneMania61 (https://genemania.org/), NCBI Gene (https://www.ncbi.nlm.nih.gov/gene) databases and Agile Protein Interaction Data Analyzer (APID) (http://apid.dep.usal.es/)62 till 31 August 2017.

Although databases provide a convenient means of analyzing interactions between proteins, there exists certain amount of bias and omissions of annotation with these databases, which could lead to missing out of important interaction data in a given database.63,64 Therefore, to identify proteins that have not been curated in the databases, we also performed an extensive search of the biomedical literature resources viz., NCBI PubMed and Google Scholar, using the following keywords: DISC1 interactions; DISC1-interacting genes; DISC1 neurogenesis; DISC1 neurodevelopment; DISC1 migration; DISC1 genetic interactions; DISC1 protein interactions; DISC1 signaling; DISC1 regulatory role; DISC1 biological functions; DISC1 molecular functions; DISC1 cellular functions; DISC1 functions. The retrieved interactions were reported using model organisms such as Rattus norvegicus, Mus musculus, Danio rerio, Caenorhabditis elegans as well as PC12, HEK293, COS-7, and SH-SY5Y cell lines. From the output of the search in the databases (GeneMania, NCBI Gene and APID) as well as from the Biomedical literature resources (NCBI PubMed and Google Scholar), we compiled the final list of proteins that interact with DISC1. We excluded those DISC1 PPIs retrieved from the databases which were reported based on “co-citations” in the literature (but, lacking experimental evidence), interactions reported with uncharacterized proteins as well as epistatic interactions reported by association studies.

We then examined the experimental evidence for the role of above-retrieved DISC1 PPIs in neurodevelopment. Specifically, we curated the experimental evidence from PubMed and Google Scholar search engines (see keywords above) of how these DISC1 PPIs regulate cellular/molecular functions that are relevant for neuronal migration and included only those in our subsequent steps. We meticulously verified the regulation of DISC1 PPIs in neuronal migration by curating details such as type of interaction (direct/indirect), direction of interaction (directed/bidirectional), regulation of interaction on migration (facilitation/inhibition), experiments/methods (high throughput/low throughput) and the model organisms/cell lines used to study the interaction. We defined specific DISC1 PPIs that mediate specific cellular/molecular functions relevant for neuronal migration as “functional modules”.65,66 Finally, a composite DISC1 interactome that integrates all the above functional modules involved in neuronal migration was generated (Fig. 1).

Identification of miRNA-TF feedback loops that regulate the DISC1 interactome mediating neuronal migration

We used miRWALK2.0 database67 to retrieve miRNAs that target genes involved in neuronal migration; and using Enrichr server,68 ChEA 2016 datasets were used for identifying the TFs that regulate expression of genes involved in neuronal migration. In ChEA datasets, statistical enrichment is computed by implementing Fishers exact test.69 Only those TFs enriched at a statistically significant p value ≤ 0.05 were considered for subsequent analysis as shown in Supplementary Table S3.

To identify miRNAs (from miRWALK2.0 database) and TFs (from ChEA 2016 datasets) that mutually regulate each other in feedback loops, we derived the list of miRNAs regulating expression of TFs from miRTarBase70 and the list of TFs regulating expression of miRNAs from TransmiR v1.0 71 and ChIPBase v2.0 databases72 (an outline of the steps followed is shown in Supplementary Fig. S1).

Boolean modeling

In a Boolean network, genes and their interactions are represented as a directed graph G(V,E), where V represents the genes and E represents the interaction between these genes. Each gene can have a value of either 1 (True) or 0 (False); thus, a Boolean network with n genes will have 2n possible states. Each gene has a set of states in the network \(X = \left\{ {X_i|i = 1,2,3, \ldots ,n} \right\}\) and a set of Boolean functions, \(f = \left\{ {f_i|i = 1,2,3, \ldots ,k} \right\}\). For example, the state of gene Vi at time t is denoted as Xi(t) and at t + 1 as \(X_i\left( {t + 1} \right) = f_i\left( {X_{i1},X_{i2},X_{i3}, \ldots ,X_{ik}} \right)\).

Based on experimental evidence curated from literature and databases, each of the 19 proteins mediating neuronal migration was given a transition function (update rule), expressed using logical operators (https://github.com/mbialnimhans/DISC1_interactome). Similarly, for node perturbation analysis (see below), depending upon the type of simulation, a transition function for each gene, miRNA, and TF for each FM of migration was specified (https://github.com/mbialnimhans/DISC1_interactome).

Attractor identification

To determine the attractor/stable state reached from these 19 proteins (involved in neuronal migration), we applied an asynchronous mode of transition73,74 where the transition function of only one protein is chosen at random and the corresponding protein is updated at the next transition step. Since there were 19 proteins involved in neuronal migration, we considered all 219 states as initial states; the state transition from these states to reach the attractor state was determined by random walk phase method, i.e., “a high number of random state transitions are performed to enter an attractor with high probability”.73 To test the robustness of the 18 attractors thus obtained, we created 3000 perturbed networks by shuffle method and calculated the number of times each of these attractors occurred in these networks using random walk phase method. In shuffle method, the output of transition function was randomly permuted under the function “perturbNetwork” in R BoolNet 2.1.3 package.

Node perturbation analysis

We performed the node perturbation analysis, using Python BooleanNet 1.2.7 module.75 In node perturbation analysis, we set the nodes (TF/miRNA/gene) to true (overexpression: OE) or false (knockout: KO) and analyzed the effect of this perturbed node on each FM of migration. We repeated asynchronous simulations 1000 times at each time step (from t = 0 to t = 150) and simulations were performed for the same initial condition with random update orders. For calculating the activation frequency of neuronal migration, we divided the number of simulations in which the node (neuronal migration) is ON by the number of simulations.75 We plotted the results of activation frequency (percent) at which migration is in TRUE state using a smoothing window of ten time steps, i.e. 140 time steps. We performed four different simulations for each FM: when TF activates gene and miRNA expression (Simulation 1); when TF represses both miRNA and gene expression (Simulation 2); when TF represses miRNA and activates gene expression (Simulation 3); and when TF represses gene and activates miRNA expression (Simulation 4).

For analyzing the trend of regulation of migration by miRNA-TF feedback loops regulating two or more FMs of migration, we examined the frequency of activation of migration in each FM at t = 0 and t = 140.

Reporting summary

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