Graph-theoretic conditions for injectivity of functions on rectangular domains (2009)
This paper presents sufficient graph-theoretic conditions for injectivity of collections of differentiable functions on rectangular subsets of R^n. The results have implications for the possibility...
Convergence in strongly monotone systems with an increasing first integral (2009)
In this paper we generalise a useful result due to J. Mierczynski which states that for a strictly cooperative system on the positive orthant, with increasing first integral, all bounded orbits are...
Banaji, Murad, Craciun, Gheorghe
We extend previous work on injectivity in chemical reaction networks to general interaction networks. Necessary and sufficient matrix-theoretic conditions for injectivity of these systems are...
Banaji, Murad, Craciun, Gheorghe
In this paper we discuss the question of how to decide when a general chemical reaction system is incapable of admitting multiple equilibria, regardless of parameter values such as reaction rate...
Stability in generic mitochondrial models (2007)
Donnell, Pete, Banaji, Murad, Baigent, Stephen
In this paper, we use a variety of mathematical techniques to explore existence, local stability, and global stability of equilibria in abstract models of mitochondrial metabolism. The class of...
A Model of Brain Circulation and Metabolism: NIRS Signal Changes during Physiological Challenges
Banaji, Murad, Mallet, Alfred, Elwell, Clare E., Nicholls, Peter, Cooper, Chris E.
We construct a model of brain circulation and energy metabolism. The model is designed to explain experimental data and predict the response of the circulation and metabolism to a variety of stimuli,...