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. 2017 Jun 27;114(28):E5741–E5749. doi: 10.1073/pnas.1706711114

Table S1.

List of studied (edge) properties of actin and Golgi flow networks

Property Symbol Explanation/interpretation Eq.
Actin network edge e
 Euclidean edge length ae,E Linear distance between end points of filament segment
 Filament edge length ae,F Arc length of filament segment
 Filament bending ae,B Ratio of filament and Euclidean edge lengths S7
Bending or convolutedness of filament segment
 Edge weight ae,w Total intensity along filament segment
 Edge capacity ae,c Average intensity per unit length along filament segment S8
Average thickness of actin bundles
 Edge length ae,l Inverse edge capacity used to compute shortest paths S9
 Edge angle ae,a Angle between edge and major cell axis S10
Alignment of AFs and bundles
 Edge degree ae,deg Total thickness of neighboring edges S18
Prevalence of surrounding AFs and bundles
 Edge rank ae,rank Page rank of given edge S19
Probability that cargo is found at given filament segment when cargo randomly switches
between filaments and preferably targets thicker bundles
 Edge path betweenness ae,path No. of shortest paths through given edge S20
Importance of filament segment when cargo between any
two nodes is transported preferably along thick bundles
 Edge flow betweenness ae,flow total maximum flow through given edge S21
Importance of filament segment when bundle thickness limits the amount of cargo per edge and
the cytoskeleton transports maximum amounts of cargo between any two nodes
Actin network
 Conn. Comp. F No. of strongly connected patches of actin bundles S11
Fragmentation
 Avg. edge capacity E[ac] Prevalence of thick actin bundles S12
Bundling
 Assortativity A Degree of clustering or mixing of fine AFs and thick bundles S13
Heterogeneity
 Avg. Shortest path length10.2 E[L] Average effective distance between any two nodes when thicker bundles transport cargo faster S14
Reachability
CV of shortest path lengths CV[L] Variability of effective distances between any two nodes S15
Dispersal
 Algebraic connectivity C Robustness of cargo transport against disruptions of AFs and bundles, S16
i.e., reliability and redundancy of transport routes
Robustness
 Edge angles CV[aa] Alignment of AFs and bundles with major cell axis S17
Contortion
Golgi flow network edge e
 Number ge,n No. of close-by Golgi S23
 Wiggling ge,w Average relative angle of movement of close-by Golgi S24
 Intensity ge,i Average intensity of close-by Golgi S25
 Direction ge,d Average angle between edge and movement of close-by Golgi S26
 Velocity ge,v Average velocity of close-by Golgi S27
 Combinations e.g., ge,d+v Average velocity of close-by Golgi along edge direction S28

Please refer to SI Text for detailed explanations. In the top section, shown are edge properties of actin networks that were used to compare networks across conditions and time and to predict organelle flow (see bottom section). Some edge properties are local (ae,E to ae;a) whereas some consider the role of the edge in the network context (ae,deg to ae,flow). In the middle section, shown are properties of the actin network that were used for quantification of cytoskeletal phenotypes and assessment of transport efficiency. In the bottom section, shown are edge properties of the Golgi flow network derived from Golgi tracking data, taking into account numbers, intensities, velocities, and directions of Golgi as well as combinations thereof.