Skip to main content
Became Hot Network Question
corrected broken link
Source Link
mathoverflowUser
  • 3.1k
  • 1
  • 9
  • 36

In this article about human physiology as a complex networkthis 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."

and further:

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":

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?

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."

and further:

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":

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?

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."

and further:

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":

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?

Post Undeleted by mathoverflowUser
Post Deleted by mathoverflowUser
Source Link
mathoverflowUser
  • 3.1k
  • 1
  • 9
  • 36

What are the right mathematical tools / language to analyse complex networks over time?

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."

and further:

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":

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?