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PreprintCC BY 4.0arXiv

Multigeometric Breathing Mode Framework for viruses

Abstract

The estimation of the breathing mode frequency for viral capsids remains a persistent challenge across literature which spawned various frameworks and methodologies. However, discrepancies were observed between the experimental Low Frequency Raman Scattering (LFRS) and calculated pre-existing values. To solve this discrepancy, we propose a framework which is developed to determine the breathing-mode frequency by modelling the virus as a macroscopic coupled harmonic oscillator. By integrating mass-loading directly into the classical elastodynamic equations, this model yields an analytical expression that couples the system's total inertia with its specific geometry. Moreover, the viruses are segregated according to their geometries into three coordinates to acquire their respective geometric eigen values. Here we illustrate how the proposed Multigeometric Breathing mode Framework for Virus (MBFV) outperforms prior models by yielding closer values than the pre-existing frameworks upon validating against LFRS.

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BibTeX
@misc{bardhan2026multigeometric,
  title = {{Multigeometric Breathing Mode Framework for viruses}},
  author = {Krish Bardhan and Charu Sharma and Shivansh Bhatnagar and Prafulla K Jha},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27410},
  eprint = {2609.27410},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27410},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Multigeometric Breathing Mode Framework for viruses
AU  - Krish Bardhan
AU  - Charu Sharma
AU  - Shivansh Bhatnagar
AU  - Prafulla K Jha
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.27410
UR  - https://arxiv.org/abs/2609.27410
AB  - The estimation of the breathing mode frequency for viral capsids remains a persistent challenge across literature which spawned various frameworks and methodologies. However, discrepancies were observed between the experimental Low Frequency Raman Scattering (LFRS) and calculated pre-existing values. To solve this discrepancy, we propose a framework which is developed to determine the breathing-mode frequency by modelling the virus as a macroscopic coupled harmonic oscillator. By integrating mass-loading directly into the classical elastodynamic equations, this model yields an analytical expression that couples the system's total inertia with its specific geometry. Moreover, the viruses are segregated according to their geometries into three coordinates to acquire their respective geometric eigen values. Here we illustrate how the proposed Multigeometric Breathing mode Framework for Virus (MBFV) outperforms prior models by yielding closer values than the pre-existing frameworks upon validating against LFRS.
ER  -