On the Analytic Origin of Two Species of Cochlear Eigenmodes.

Asheesh S Momi, Isabella R Graf, Michael C Abbott, Benjamin B Machta

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Article in ArXiv, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

Authors and funding

4 authors.

Asheesh S MomiDepartment of Physics and Quantitative Biology Institute, Yale University, New Haven, CT, USA.

Isabella R GrafDevelopmental Biology Unit, European Molecular Biology Laboratory, 69117 Heidelberg, Germany.

Michael C AbbottDepartment of Physics and Quantitative Biology Institute, Yale University, New Haven, CT, USA.

Benjamin B MachtaDepartment of Physics and Quantitative Biology Institute, Yale University, New Haven, CT, USA.

Funding

Physics and Systems Biology of Cellular DomainsR35GM138341 · NIGMS · YALE UNIVERSITY · PI MACHTA, BENJAMIN BROOKS · 2020 to 2024

$2.0M

NIGMS NIH HHS R35 GM138341

6 · The paper itself

Abstract

After entering the ear, sound waves propagate as surface waves along the cochlea's basilar membrane. In recent work, we showed numerically that the system supports two types of modes: localized resonant modes, which underpin the modern understanding of cochlear mechanics, and a novel class of spatially extended modes. Here, we develop an analytic framework that explains the emergence of this mode structure. We show that extended modes arise from globally continuous standing-wave solutions, whereas localized modes result from internal resonance requiring matching across a singular point. These results clarify the generic structure of cochlear wave equations.

Identifiers

PMID41907584

PMCPMC13019444

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