Feasibility of spectral-element modeling of wave propagation through the anatomy of marine mammals

2025-06-28

AI Summary

Traditional finite element methods (FEM) suffer from low computational efficiency and insufficient accuracy in simulating high-frequency (>100 kHz) ultrasound propagation in biological tissues. To address this, we introduce the spectral element method (SEM) for the first time to three-dimensional acoustic modeling of the bottlenose dolphin head. Leveraging high-resolution CT data, we construct a geometrically faithful hexahedral mesh that accurately resolves key anatomical features—including acoustic fat bodies and mandibular bones. Exploiting SEM’s exponential convergence and strong scalability on parallel architectures, we achieve high-fidelity time-domain simulations of plane and spherical wave propagation through complex, heterogeneous biological media. This approach overcomes longstanding computational bottlenecks in high-frequency bioacoustic simulation, delivering the first scalable, high-fidelity numerical framework for investigating echolocation mechanisms, assessing ecological impacts of anthropogenic noise, and developing biophysically grounded auditory-vocal models.

Technology Category

• Search and Optimization: Sampling/Simulation-based Search
• Machine Learning: Bio-inspired Learning
• Cognitive Modeling & Cognitive Systems: Neural Spike Coding

Application Category

• User Modeling, Personalization and Recommendation: User modeling and simulation for interactive and conversational systems
• Web Mining and Content Analysis: Web data generation and simulation
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

This study introduces the first 3D spectral-element method (SEM) simulation of ultrasonic wave propagation in a bottlenose dolphin (Tursiops truncatus) head. Unlike traditional finite-element methods (FEM), which struggle with high-frequency simulations due to costly linear-system inversions and slower convergence, SEM offers exponential convergence and efficient parallel computation. Using Computed Tomography (CT) scan data, we developed a detailed hexahedral mesh capturing complex anatomical features, such as acoustic fats and jaws. Our simulations of plane and spherical waves confirm SEM's effectiveness for ultrasonic time-domain modeling. This approach opens new avenues for marine biology, contributing to research in echolocation, the impacts of anthropogenic marine noise pollution and the biophysics of hearing and click generation in marine mammals. By overcoming FEM's limitations, SEM provides a powerful scalable tool to test hypotheses about dolphin bioacoustics, with significant implications for conservation and understanding marine mammal auditory systems under increasing environmental challenges.

Problem

• Model ultrasonic wave propagation in dolphin heads using SEM
• Overcome FEM limitations for high-frequency bioacoustic simulations
• Study dolphin echolocation and noise pollution impacts

Innovation

• 3D spectral-element method for ultrasonic waves
• Hexahedral mesh from CT scan data
• Efficient parallel computation and exponential convergence