1.
J Theor Biol
; 39(1): 73-89, 1973 Apr.
Article
in English
| MEDLINE
| ID: mdl-4741718
Subject(s)
Cell Division , Models, Biological , Kinetics , Physical Phenomena , Physics , Statistics as Topic , Temperature
2.
J Theor Biol
; 37(1): 205-6, 1972 Oct.
Article
in English
| MEDLINE
| ID: mdl-4652420
3.
J Theor Biol
; 28(3): 305-13, 1970 Sep.
Article
in English
| MEDLINE
| ID: mdl-5487646
4.
Biophys J
; 10(2): 183-95, 1970 Feb.
Article
in English
| MEDLINE
| ID: mdl-5414537
ABSTRACT
An extension of the control equations discussed by Goodwin is proposed which allows for arbitrary strong coupling and for arbitrary parallel coupling of metabolic pools and genetic loci. It is demonstrated that these generalized control equations can be put into canonical form and further that Liouville's theorem applies. In addition, it is demonstrated that after a suitable canonical transformation the resulting partition function can be solved in closed form, and this result, as well as that for the mean energy, is exhibited. Some remarks appropriate to additional extensions are presented.