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Compartmental systems and generating functions


, : Compartmental systems and generating functions. BULL MATH BIOPHYS 27(Spec Issue): 49-63

Compartmental systems can be represented by direct graphs in which each node corresponds to a generating function and each arm to a transfer generating function. A homomorphism is established between a compartmental system and this representation, in analogy with that obtained through the use of the Laplace transformation. From the values obtained experimentally in a given compartment, through the solution of a difference equation, the generating function for the corresponding node can be calculated and the graph of the system can be built up within the degrees of freedom of the model. From the graph it is possible to calculate the transfer generating function between any 2 connected nodes, the mean permanence time in a given node, the mean transit time between 2 nodes, and their precursor-successor order.

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DOI: 10.1007/bf02477261


Other references

Hill, Jeffrey P., 1996: Kinematic analysis of corolla surface growth in Nicotiana tabacum. American Journal of Botany 83(6 SUPPL ): 40

Fischer, R.S.; Quinlan, R.A.; Fowler, V.M., 2003: Tropomodulin binds to filensin intermediate filaments. Tropomodulin (Tmod) is an actin filament pointed end capping protein found in the membrane skeleton of lens fiber cells. We demonstrate that Tmod4 is able to bind the lens-specific intermediate filament protein, filensin, in either co-sedimentatio...

Carenza, P.; Busnardo, B., 1968: On an unusual electrocardiographic aspect of hyperthyroidism: the Sr' complex in lead V 1. Cardiologia Pratica 19(4): 277-284

Zhang, S-H.; Chang, J-J.; Cao, J-Y.; Yang, C-L., 2015: Comparative studies on growth and physiological responses of unicellular and colonial Microcystis aeruginosa to Acorus calamus. In order to explore the growth inhibition and physiological responses of unicellular and colonial Microcystis aeruginosa during coexistence with Acorus calamus, algal densities, chlorophyll a contents, exopolysaccharide (EPS) concentrations, malon...

Usov, A.G., 1968: Forced movements in hyperkinesis patients during formation of conditioned motor reflexes. Voprosy Psikhiatrii i Nevropatologii; Sbornik Trudov 13: 522-530

Filla, E.; Comenale, D., 1965: Therapy with PAS, rifamycin and ethionamide administered intravenously and its effects on glucide metabolism in diabetics affected by pulmonary tuberculosis. Minerva Medica 56(103): 4570-4573

Prado, S.S.; Almeida, R.P.P., 2009: Phylogenetic placement of pentatomid stink bug gut symbionts. Insect bacterial symbionts are ubiquitous, however, only a few groups of host families have been well studied in relation to their associations with microbes. The determination of the phylogenetic relationships among bacteria associated with diffe...

Michel, G., 1987: European Society of Surgical Oncology. European Journal of Surgical Oncology 13(3): 187-188

Sainte-Claire Deville, J., 1910: Description d'une espece inedite du genre Quedius Steph. Bulletin de la Societe Entomologique Paris, 158-159

Alam, K.; Agua, T.; Maven, H.; Taie, R.; Rao, K.S.; Burrows, I.; Huber, M.E.; Rali, T., 1994: Preliminary screening of seaweeds, seagrass and lemongrass oil from Papua New Guinea for antimicrobial and antifungal activity. The methanol and hexane extracts of Halimeda tuna, Enhalus acoroides, Turbindria ornato, Hormophysa articulata, Padina sp., Liaqura sp. and Sargassum sp. were tested against Bacillus subtilis, Staphylococcus aureus, Pseudomonas aeruginosa and Kleb...