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A Comparison of Brain-State Representations of Binary Neuroimaging Connectivity Data. Comment on Samantaray et al. Unique Brain Network Identification Number for Parkinson’s and Healthy Individuals Using Structural MRI. <i> Brain Sci. </i> 2023, <i> 13 </i> , 1297

Josephine Noah Kelly, Bowen Fu, Zhenyu Li, Robert Emmett Kelly Jr., Stephen D. Meriney

Abstract

Samantaray et al. introduced a new method for storing binary neuroimaging connectivity data with the goal of providing a compact, space-saving representation of brain-state connectivity, called the Unique Brain Network Identification Number (UBNIN). They utilized UBNINs to present binary connectivity data, an adjacency matrix, derived from structural brain MRI, which represented the strength of connections (edges) between areas of the brain, divided into 56 nodes. Fifty-six nodes correspond to 55 × 56/2 = 1540 edges and 21540 possible unique combinations of edges. The authors demonstrated how

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The paper compares UBNIN encoding with binary, decimal, and hex formats, showing UBNIN uses more space and has limited practicality.

What’s new

i.Provided a detailed comparison of UBNIN with binary, base‑10, and hexadecimal representations.
ii.Calculated and presented storage space requirements for each method across node counts.
iii.Analyzed the three UBNIN variants (C, R, T) and identified their practical limits.
iv.Clarified the error‑checking capability and uniqueness assumptions of UBNIN.
v.Suggested guidelines for matrix sizes suitable for each UBNIN variant.

How they did it

The authors reproduced the adjacency matrix example from Samantaray et al., applied the UBNIN encoding algorithm and its variants, and computed digit and bit counts for binary, base‑10, and hexadecimal forms. Calculations were performed manually, with Matlab R2023b for numbers exceeding 15 digits and Excel for smaller values.

What they found

For 56 nodes, hexadecimal requires 385 digits, base‑10 464 digits, while UBNIN‑C needs about 1 485 digits plus up to 17 left‑of‑decimal digits.
UBNIN‑C exceeds 15‑digit limits at 7 nodes; UBNIN‑R exceeds at 11 nodes; UBNIN‑T stays within 15 digits up to 49 nodes.
Table 1 shows digit counts: e.g., 10 nodes need 39 digits for UBNIN‑C, 45 for base‑10, 12 for hex, and 128 binary bits.
UBNIN‑C provides built‑in error detection, unlike the other formats.

Caveats

✕UBNIN‑C occupies more print and electronic space than binary, decimal, or hex representations.
✕Encoding discards explicit connection information, requiring extra decoding steps.
✕Error‑checking does not cover the integer part of UBNIN‑C.
✕Uniqueness of UBNIN values is not guaranteed across scans.

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A Comparison of Brain-State Representations of Binary Neuroimaging Connectivity Data. Comment on Samantaray et al. Unique Brain Network Identification Number for Parkinson’s and Healthy Individuals Using Structural MRI. <i> Brain Sci. </i> 2023, <i> 13 </i> , 1297

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