𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simulation of biological oscillators involving large time delays

✍ Scribed by R. Balasubramanian

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
340 KB
Volume
22
Category
Article
ISSN
0378-4754

No coin nor oath required. For personal study only.

✦ Synopsis

Many biological systems exhibit periodic OT rhythmic behaviour. Some mathematical mode25 proposed for this class of systems invqZve an on-off relay followed by a large time delay within a feedback structure. This paper presents a method for simulating the reZay-deZay combination exactly without invoking any approximations for the delays. The method is then used to simulate respiratory a/id cardiovascular systems whose models involve relays and large time delays. Possible synchronization of these tie oscillations due to coupling betueen the tie systems is also experimentally investigated.

πŸ“œ SIMILAR VOLUMES

Oscillation of delay differential equati
Oscillation of delay differential equations on time scales
✍ B.G Zhang; Xinghua Deng πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 614 KB

Consider the following equation: where t is in a measure chain. We apply the theory of measure chains to investigate the oscillation and nonoscillation of the above equation on the basis of some well-known results. And in some sense, we show a method to unify the delay differential equation and del