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

机译：分叉分析应用于具有多稳态刺激的运动积分模型

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摘要

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.
机译：提出了对多稳态心理物理学刺激的运动感知动力学的计算研究。通过正方形孔径观察到的对角漂移光栅被视为沿实际光栅方向移动或与孔径边缘成一直线（水平或垂直）移动。不同的感知是模棱两可的轮廓提示与特定终止符提示之间相互作用的产物。我们提出了一种运动积分的动力学模型，该模型执行了这种刺激的方向选择，并将不同的感知与基础方程的共存稳态联系起来。我们使用分叉分析和数值连续的强大工具来研究在参数变化下模型解结构的变化。实际上，我们在考虑生物学和数学约束的情况下，系统地应用了这些工具，以便确定模型参数。确定参数空间的区域，模型将针对该区域重现在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力学。具体而言，研究了改变刺激增益的效果，从而可以进行定性预测。

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  • 来源
    《Journal of Computational Neuroscience》 |2013年第1期|103-124|共22页
  • 作者

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

  • 作者单位

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

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

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

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

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

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  • 正文语种 eng
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  • 关键词

    motion; perception; multistability; visual cortex; barber pole; bifurcation;

    机译：运动;知觉;多重稳定性视觉皮层;理发店招牌;分叉;

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