On the completely symmetric compartmental system

1980 ◽  
Vol 42 (3) ◽  
pp. 481-488
Author(s):  
J. Z. Hearon
Keyword(s):  
2019 ◽  
Vol 132 (23) ◽  
pp. jcs234492 ◽  
Author(s):  
Topaz Altman ◽  
Danielle Geller ◽  
Elisabeth Kleeblatt ◽  
Tal Gradus-Perry ◽  
Eran Perlson

2015 ◽  
pp. 166-174
Author(s):  
Hideo Kusuoka ◽  
Hajime Maeda ◽  
Shinzo Kodama ◽  
Michitoshi Inoue ◽  
Hiroshi Abe ◽  
...  

1985 ◽  
Vol 5 (4) ◽  
pp. 584-590 ◽  
Author(s):  
Clifford S. Patlak ◽  
Ronald G. Blasberg

The method of graphical analysis for the evaluation of sequential data (e.g., tissue and blood concentrations over time) in which the test substance is irreversibly trapped in the system has been expanded. A simpler derivation of the original analysis is presented. General equations are derived that can be used to analyze tissue uptake data when the blood–plasma concentration of the test substance cannot be easily measured. In addition, general equations are derived for situations when trapping of the test substance is incomplete and for a combination of these two conditions. These derivations are independent of the actual configuration of the compartmental system being analyzed and show what information can be obtained for the period when the reversible compartments are in effective steady state with the blood. This approach is also shown to result in equations with at least one less nonlinear term than those derived from direct compartmental analysis. Specific applications of these equations are illustrated for a compartmental system with one reversible region (with or without reversible binding) and one irreversible region.


Author(s):  
Jin Jau Liau ◽  
Sarah Hook ◽  
Clive A. Prestidge ◽  
Timothy J. Barnes

1980 ◽  
Vol 42 (3) ◽  
pp. 481-488
Author(s):  
J HEARON
Keyword(s):  

Author(s):  
Firda Rahmadani ◽  
Hyunsoo Lee

Diarrhea is responsible for killing around 525,000 children every year, even though it is preventable and treatable. This research focuses on both houseflies’ roles and humans’ roles in carrying pathogens causing diarrhea as multiple disease carriers. Both human and fly compartmental models are simulated with five diseases control strategies in order to identify the epidemic dynamics. The framework considers the life cycle of flies modeled into eggs, larvae, pupae, susceptible flies, and carrier flies, while the human system follows a compartment model as susceptible, infected, recovered, and back to susceptible again (SIRS). The relationships are modeled into an ordinary differential equation-based compartmental system. Then, the control parameters of the compartmental framework are analyzed. In order to propose effective control methods, five control strategies are considered: (1) elimination of flies’ breeding site, (2) sanitation, (3) installation of UV light trap, (4) good personal and food hygiene, and (5) water purification. Then, overall, ten control scenarios using the five control strategies are analyzed. Among them, effective control solutions considering various dynamic epidemiology are provided with the simulations and analyses. The proposed framework contributes to an effective control strategy in reducing the number of both flies and infected humans, since it minimizes the spread of the disease and considers cost-effectiveness.


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