In this article about human physiology as a complex network the authors say that:
"Lacking adequate analytic tools and a theoretical framework to probe interactions within and among diverse physiological systems, current approaches focus on inferring properties of time-varying interactions—namely strength, direction, and functional form—from time-locked recordings of physiological observables."
The characterization of interactions between physiological systems faces several challenges:
• We often do not know exactly the systems’ equations of motion;
• We lack knowledge as to how to merge/combine these equations (e.g., due to the issue of time-scale matching);
• We may have insufficient knowledge about relevant structural connections; • We may not have direct access to interactions between systems (e.g., via probing).
Image taken from the above article, where each node corresponds to a human organ and connections between organs represent time varying "connections":
Are there tools of complex networks from mathematical point of view which might be suited for the case written above?