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应用于具有多稳态刺激的运动整合模型的分岔分析。

Bifurcation analysis applied to a model of motion integration with a multistable stimulus.

作者信息

Rankin James, Tlapale Emilien, Veltz Romain, Faugeras Olivier, Kornprobst Pierre

机构信息

Neuromathcomp Project Team, INRIA Sophia Antipolis Méditerranée, 2004 Route des Lucioles-BP 93, 06902 Sophia Antipolis, France.

出版信息

J Comput Neurosci. 2013 Feb;34(1):103-24. doi: 10.1007/s10827-012-0409-5. Epub 2012 Jul 3.

DOI:10.1007/s10827-012-0409-5
PMID:22870848
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3558671/
Abstract

A computational study into the motion perception dynamics of a multistable psychophysics stimulus is presented. A diagonally drifting grating viewed through a square aperture is perceived as moving in the actual grating direction or in line with the aperture edges (horizontally or vertically). The different percepts are the product of interplay between ambiguous contour cues and specific terminator cues. We present a dynamical model of motion integration that performs direction selection for such a stimulus and link the different percepts to coexisting steady states of the underlying equations. We apply the powerful tools of bifurcation analysis and numerical continuation to study changes to the model's solution structure under the variation of parameters. Indeed, we apply these tools in a systematic way, taking into account biological and mathematical constraints, in order to fix model parameters. A region of parameter space is identified for which the model reproduces the qualitative behaviour observed in experiments. The temporal dynamics of motion integration are studied within this region; specifically, the effect of varying the stimulus gain is studied, which allows for qualitative predictions to be made.

摘要

本文介绍了一项关于多稳态心理物理学刺激运动感知动力学的计算研究。通过方形孔径观察到的对角漂移光栅,会被感知为沿实际光栅方向移动,或者与孔径边缘对齐(水平或垂直方向)移动。不同的感知是模糊轮廓线索和特定终止线索之间相互作用的结果。我们提出了一个运动整合的动力学模型,该模型对这种刺激进行方向选择,并将不同的感知与基础方程的共存稳态联系起来。我们应用分岔分析和数值延拓的强大工具,研究模型在参数变化下解结构的变化。事实上,我们以系统的方式应用这些工具,同时考虑生物学和数学约束,以确定模型参数。确定了一个参数空间区域,该模型在该区域内再现了实验中观察到的定性行为。在该区域内研究了运动整合的时间动态;具体而言,研究了改变刺激增益的影响,这使得能够做出定性预测。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/c5ce29301664/10827_2012_409_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/e410d80415ef/10827_2012_409_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/c27d49931e48/10827_2012_409_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/540ae8bd66f7/10827_2012_409_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/0e4d2418e8dc/10827_2012_409_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/e9870a5d958f/10827_2012_409_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/7af7ae7bc2b8/10827_2012_409_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/9ebd28883bde/10827_2012_409_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/133db861dead/10827_2012_409_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/ab2af0647c96/10827_2012_409_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/6ae863a6ea02/10827_2012_409_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/da3b50212eb5/10827_2012_409_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/c5ce29301664/10827_2012_409_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/e410d80415ef/10827_2012_409_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/c27d49931e48/10827_2012_409_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/540ae8bd66f7/10827_2012_409_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/0e4d2418e8dc/10827_2012_409_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/e9870a5d958f/10827_2012_409_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/7af7ae7bc2b8/10827_2012_409_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/9ebd28883bde/10827_2012_409_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/133db861dead/10827_2012_409_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/ab2af0647c96/10827_2012_409_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/6ae863a6ea02/10827_2012_409_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/da3b50212eb5/10827_2012_409_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4c55/3558671/c5ce29301664/10827_2012_409_Fig12_HTML.jpg

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