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Extensions of multivariate dynamical systems to simultaneously explain neural and behavioral data

Ms. Qingfang Liu
The Ohio State University ~ Psychology Department
Alexander A. Petrov
The Ohio State University, United States of America
Prof. Zhong-Lin Lu
New York University ~ Center for Neural Science
Dr. Brandon Turner
The Ohio State University ~ Psychology

To examine how the brain produces behavior, new statistical methods have linked neurophysiological measures directly to mechanisms of cognitive models, modeling both modalities simultaneously. However, current simultaneous modeling efforts are largely based on either correlational methods or on functions that map one stream of data to the other. Such frameworks are limited in their ability to infer causality between brain activity and behavior. We investigate one causal framework for explaining how behavior can be viewed as an emergent property of brain dynamics. Our proposed framework can be considered an extension of multivariate dynamical systems (MDS; Ryali et al. Neuroimage, 54(2), 807–823, 2011), as it is constructed with temporal dynamics and brain functional connectivities. To test the MDS framework, we formulate a concrete model, demonstrate that it generates reasonable predictions about both behavioral and fMRI data, and conduct a parameter recovery study. Specifically, we develop a generative model of perceptual decision-making in a visual motion-direction discrimination task. Two simulation studies under different experimental protocols illustrate that the MDS model can capture key characteristics of both behavioral and neural measures that typically occur in experimental data. We also examine whether or not such a complex system can be inferred from experimental data by evaluating whether current algorithms for fitting models to data can recover sensible parameter estimates. Our parameter recovery study suggests that the MDS parameters can be recovered using likelihood-free estimation techniques. Together, these results suggest that our MDS-based framework shows great promise for developing fully integrative models of brain-behavior relationships.



Joint Modeling
Dynamical Systems
Bayesian Inference
Perceptual Decision Making


Decision Making
Bayesian Modeling
Dynamical Systems
Accumulator/Diffusion models
Cognitive Neuromodeling
reducing parameters? Last updated 2 years ago

Very impressive work! I really appreciate how you are not only modeling neural activation but also functional connectivity. However, I guess this will only work for sufficiently simple tasks in which you have clear ideas about the relevant structures and their functions. - have you also tried running a model without the functional connectivity an...

Dr. Marieke Van Vugt 0 comments
Cite this as:

Liu, Q., Petrov, A., Lu, Z.-L., & Turner, B. (2020, July). Extensions of multivariate dynamical systems to simultaneously explain neural and behavioral data. Paper presented at Virtual MathPsych/ICCM 2020. Via