On the stability of equilibria of the physiologically-informed dynamic causal model

TL;DR

This paper investigates the stability of physiologically-informed dynamic causal models (P-DCM), which are used to analyze neuronal and BOLD responses in fMRI, by exploring parameter ranges that ensure model stability.

Contribution

It is the first to analyze the stability of P-DCM and identify parameter ranges that guarantee stable model behavior.

Findings

Identified parameter ranges for stable P-DCM models

Provided insights into the stability conditions of physiologically-informed models

Enhanced understanding of model robustness in neuronal response analysis

Abstract

Experimental manipulations perturb the neuronal activity. This phenomenon is manifested in the fMRI response. Dynamic causal model and its variants can model these neuronal responses along with the BOLD responses [1, 2, 3, 4, 5] . Physiologically-informed DCM (P-DCM) [5] gives state-of-the-art results in this aspect. But, P-DCM has more parameters compared to the standard DCM model and the stability of this particular model is still unexplored. In this work, we will try to explore the stability of the P-DCM model and find the ranges of the model parameters which make it stable.