3 papers
q-bio.MN2013
Piecewise linear and Boolean models of chemical reaction networks
Alan Veliz-Cuba, Ajit Kumar, Kresimir Josic
Models of biochemical networks are frequently high-dimensional and complex. Reduction methods that preserve important dynamical properties are therefore essential in their study. I…
q-bio.MN2012
Piecewise linear models of chemical reaction networks
Ajit Kumar, Krešimir Josić
We show that certain non-linear dynamical systems with non-linearities in the form of Hill functions, can be approximated by piecewise linear dynamical systems. The resulting piece…
math-ph2011
Reduced models of networks of coupled enzymatic reactions
Ajit Kumar, Krešimir Josić
The Michaelis-Menten equation has played a central role in our understanding of biochemical processes. It has long been understood how this equation approximates the dynamics of ir…