Sloppy Models
What are Sloppy Models?
What is Sloppiness?
What is Sloppiness?
Scientific theories make predictions about the real world that depend upon our knowing certain parameters governing the behavior. Sometimes, like in Newton's laws, these parameters (the force due to gravity and the masses of the objects) are known. But in many cases, some or many of the parameters are either unknown or significantly uncertain.
Sloppy Model
A sloppy systems biology model
A sloppy systems biology model
Some years back, Colin Hill (then a Physics graduate student of mine, now CEO of Gene Network Sciences) got interested in biology. He dragged me out to talk with Rick Cerione (then in Molecular Medicine at the Vet college) and his student Guillermo Calero about how proteins interact to transmit signals inside cells (and how, when they mutate, cells can become cancerous). Another student, Kevin Brown, soon got involved, and we stumbled onto the existence of sloppy models...
Statistical mechanics of sloppy models
Statistical mechanics of sloppy models
Sloppy Models
Hyperribbon
Hyperribbon structure in behavior space, for the diffusion equation after three evolution steps. Note that it is longer than it is wide, and it is very thin -- like a ribbon.