Nonlinear Oscillations in Biology and Chemistry: Proceedings by Teresa Ree Chay (auth.), Hans G. Othmer (eds.)

By Teresa Ree Chay (auth.), Hans G. Othmer (eds.)

This quantity includes the lawsuits of a gathering entitled 'Nonlinear Oscillations in Biology and Chemistry', which used to be held on the collage of Utah might 9-11,1985. The papers fall into 4 significant different types: (i) those who care for organic difficulties, relatively difficulties coming up in mobile biology, (ii) those who take care of chemical platforms, (iii) those who deal with difficulties which come up in neurophysiology, and (iv), these whose fundamental emphasis is on extra common types and the mathematical concepts interested in their research. apart from the paper by way of Auchmuty, all are in keeping with talks given on the assembly. the variety of papers offers a few indication of the scope of the assembly, however the published notice conveys neither the measure of interplay among the members nor the highbrow sparks generated by means of that interplay. The assembly used to be made attainable via the monetary aid of the dept of Mathe­ matics of the college of Utah. i'm indebted to Ms. Toni Bunker of the dep. of arithmetic for her very capable help on all demeanour of info linked to the association of the assembly. eventually, a be aware of because of all individuals for his or her con­ tributions to the luck of the assembly, and to the members to this quantity for his or her efforts in getting ready their manuscripts.

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Extra resources for Nonlinear Oscillations in Biology and Chemistry: Proceedings of a meeting held at the University of Utah, May 9–11, 1985

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Long range effects should again be taken into account: this gives the term BV2p. As cell density increases, the traction/unit cell decreases due to cell-cell inhibition (Trinkaus (1984)), hence the qualitative form of T(n) taken. The equation for mechanical equilibrium is V·a + where! is a body force. p~ = Q Typically the IDeM is attached elastically to a 50 subdermal layer which we model as a linear spring and so positive constant. Matrix conservation. he matrix density equation p ! " where s is a satisfies the usual conservation 1e.

Mackey, Martin Santavy, and Pav1a Se1epova Department of Physiology McGill University 3655 Drummond Montreal, Quebec Canada H3G lY6 I. Introduction. The concept of the existence of the cell cycle appeared shortly after the advent of light microscopy in the last century when natural scientists first described the intranuclear events involved in mitosis and cytokinesis. It was not long before significant intercellular variation in the cell generation time (the elapsed time between cell birth and the production of two daughter cells, also called the intermitotic time) was described in a variety of cell types.

1 of [1J) but not previously in computations with Plant's model. 4. Discussion. We have exploited the fast and slow time scales to identify and to analyze quali- tatively the underlying mathematical structure in two different mOdels for bursting activity of excitable membrane systems. By making this identification and by using numerical bifurcation/branch-tracking methods we can illuminate various qualitative features of the burst pattern. For example, because of the homoclinic orbit in the fast subsystem, the spike frequency drops dramatically as the active phase ends.

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