The role of control and system theory in systems biology (2008)
Wellstead, Peter, Bullinger, Eric, Kalarnatianos, Dimitrios, Mason, Oliver, Verwoerd, Mark
The use of new technology and mathematics to study the systems of nature is one of the most significant scientific trends of the century. Driven by the need for more precise scientific understanding,...
Global phase-locking in finite populations of phase-coupled oscillators (2007)
We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on...
Graph theory and networks in biology (2007)
In this paper, we present a survey of the use of graph theoretical techniques in Biology. In particular, we discuss recent work on identifying and modelling the structure of bio-molecular networks,...
Graph Theory and Networks in Biology (2006)
In this paper, we present a survey of the use of graph theoretical techniques in Biology. In particular, we discuss recent work on identifying and modelling the structure of bio-molecular networks,...
Verwoerd, Mark, Meinsma, Gjerrit, De Vries, Theo
This paper revisits a well-known synthesis problem in iterative learning control, where the objective is to optimize a performance criterion over a class of casual iterations. The approach taken here...
Verwoerd, Mark, Meinsma, Gjerrit, De Vries, Theo
This paper revisits a well-known synthesis problem in iterative learning control, where the objective is to optimize a performance criterion over a class of casual iterations. The approach taken here...