Mathematical model and computer representation for nonlinear response systems

✍ Scribed by W.B. Quay; N.G. Smiriga; W.S. Haugeland

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 486 KB
• Volume: 5
• Category: Article
• ISSN: 0010-4809
• DOI: 10.1016/0010-4809(72)90085-7

✦ Synopsis

The beta-distribution is proposed as a suitably flexible cumulative distribution function for the representation of data and the facilitation of analysis for a wide variety of nonlinear response systems showing adaptation, or approaching saturation. A particularly difficult response system involving behavioral phase-shifting following reversal in timing of photoperiod (Zeitgeber) is used as primary test subject. The model for this system becomes Ix,&, p) = j&l2 -uy-' du II 12"+J-'B(a, /3), where 0 G X G 12. Computational variables and limitations are discussed and appropriate computer subprograms are noted.