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- Paul E. Phillipson, Peter Schuster
- I. J. Bifurcation and Chaos
- 2000

Oscillations described by autonomous three-dimensional differential equations display multiple periodicities and chaos at critical parameter values. Regardless of the subsequent scenario the keyâ€¦ (More)

- E Di Cera, Paul E. Phillipson, Jeffries Wyman
- Proceedings of the National Academy of Sciencesâ€¦
- 1989

A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors.â€¦ (More)

- E Di Cera, Paul E. Phillipson, Jeffries Wyman
- Proceedings of the National Academy of Sciencesâ€¦
- 1988

A cycle of irreversible, first-order, autocatalytic reactions among different states of a polyfunctional macromolecule, subject to the conservation of mass, can display stable chemical oscillations.â€¦ (More)

- Jeffries Wyman, Paul E. Phillipson
- Proceedings of the National Academy of Sciencesâ€¦
- 1974

Cooperativity of ligand binding is defined operationally in terms of the Hill parameter n, whose values uniquely define the shape of the binding curve. When n is everywhere equal to 1 the systemâ€¦ (More)

- Paul E. Phillipson, Peter Schuster
- I. J. Bifurcation and Chaos
- 2004

Current induced oscillations of a space clamped neuron action potential demonstrates a bifurcation scenario originally encapsulated by the four dimensional Hodgkin-Huxley equations. Theseâ€¦ (More)

- Paul E. Phillipson, Peter Schuster
- I. J. Bifurcation and Chaos
- 2005

The four-dimensional Hodgkinâ€“Huxley equations are considered as the prototype for description of neural pulse propagation. Their mathematical complexity and sophistication prompted a simplifiedâ€¦ (More)

- Paul E. Phillipson, Peter Schuster, F Kemler
- Bulletin of mathematical biology
- 1984

- Paul E. Phillipson
- Biophysical chemistry
- 1982

An approximate analytic solution to the Michaelis-Menten kinetic equations is developed which is free of the traditional steady-state hypothesis and is of a simpler form than previous perturbationâ€¦ (More)

- Enrico Di Cera, Paul E. Phillipson
- Biophysical chemistry
- 1996

A one-dimensional mapping of the binding properties of a linear lattice offers an exact analytical solution for the site-specific properties of the lattice once the length N and the parameter forâ€¦ (More)

- Paul E. Phillipson
- Journal of molecular biology
- 1968