Table S1.
List of studied (edge) properties of actin and Golgi flow networks
Property | Symbol | Explanation/interpretation | Eq. |
Actin network edge | |||
Euclidean edge length | Linear distance between end points of filament segment | — | |
Filament edge length | Arc length of filament segment | — | |
Filament bending | Ratio of filament and Euclidean edge lengths | S7 | |
Bending or convolutedness of filament segment | |||
Edge weight | Total intensity along filament segment | — | |
Edge capacity | Average intensity per unit length along filament segment | S8 | |
Average thickness of actin bundles | |||
Edge length | Inverse edge capacity used to compute shortest paths | S9 | |
Edge angle | Angle between edge and major cell axis | S10 | |
Alignment of AFs and bundles | |||
Edge degree | Total thickness of neighboring edges | S18 | |
Prevalence of surrounding AFs and bundles | |||
Edge 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 | 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 | 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. | No. of strongly connected patches of actin bundles | S11 | |
Fragmentation | |||
Avg. edge capacity | Prevalence of thick actin bundles | S12 | |
Bundling | |||
Assortativity | Degree of clustering or mixing of fine AFs and thick bundles | S13 | |
Heterogeneity | |||
Avg. Shortest path length10.2 | Average effective distance between any two nodes when thicker bundles transport cargo faster | S14 | |
Reachability | |||
of shortest path lengths | Variability of effective distances between any two nodes | S15 | |
Dispersal | |||
Algebraic connectivity | Robustness of cargo transport against disruptions of AFs and bundles, | S16 | |
i.e., reliability and redundancy of transport routes | |||
Robustness | |||
Edge angles | Alignment of AFs and bundles with major cell axis | S17 | |
Contortion | |||
Golgi flow network edge | |||
Number | No. of close-by Golgi | S23 | |
Wiggling | Average relative angle of movement of close-by Golgi | S24 | |
Intensity | Average intensity of close-by Golgi | S25 | |
Direction | Average angle between edge and movement of close-by Golgi | S26 | |
Velocity | Average velocity of close-by Golgi | S27 | |
Combinations | e.g., | 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.