Sensitivity Analysis on a Computational Model of Olfaction Using Gaussian Process, Generalized Polynomial Chaos and Neural Networks.

IF 2.3 4区 数学 Q2 BIOLOGY
Vidya Chandrasekaran, Yanyan He, Dominick Ohara, Lindsay Waldrop
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引用次数: 0

Abstract

The process of odor capture by arrays of chemosensory hairs is a complex phenomenon influenced by multiple factors, such as hair morphology and surrounding fluid characteristics. Understanding how these parameters affect the fluid flow and odor transport is critical for advancing biological understanding and informing the potential design of bio-inspired sensing systems. However, performing comprehensive analyses with high-fidelity computational fluid dynamics models can be computationally expensive. To address this challenge, we investigate three surrogate modeling approaches - Gaussian process regression, generalized polynomial chaos and feedforward neural networks - as efficient numerical approximations to full simulations. These surrogates are trained on a limited number of simulations and then used to predict system responses efficiently. Their predictive accuracy is compared using synthetic examples across a range of scenarios. For the biological application considered here, cross-validation is employed to identify the surrogate model with the best performance. Using these surrogate models, we implement a variance-based global sensitivity analysis method to analyze the impact of uncertainty of inputs (such as morphological variables) on flow characteristics.

基于高斯过程、广义多项式混沌和神经网络的嗅觉计算模型敏感性分析
化学感觉毛发阵列捕捉气味的过程是一个复杂的现象,受毛发形态和周围流体特性等多种因素的影响。了解这些参数如何影响流体流动和气味运输对于推进生物学理解和告知仿生传感系统的潜在设计至关重要。然而,使用高保真计算流体动力学模型进行全面分析在计算上可能是昂贵的。为了应对这一挑战,我们研究了三种替代建模方法——高斯过程回归、广义多项式混沌和前馈神经网络——作为全面模拟的有效数值近似。这些代理人在有限数量的模拟上进行训练,然后用于有效地预测系统响应。他们的预测准确性是通过在一系列场景中使用合成示例进行比较的。对于这里考虑的生物学应用,采用交叉验证来确定具有最佳性能的代理模型。利用这些替代模型,我们实现了一种基于方差的全局敏感性分析方法来分析输入(如形态变量)的不确定性对流动特性的影响。
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来源期刊
CiteScore
3.90
自引率
8.60%
发文量
123
审稿时长
7.5 months
期刊介绍: The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.
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