TMOD-07. LOCALIZATION OF ERLOTONIB RELATIVE TO MRI-BASED TUMOR EXTENT IN PDX GLIOBLASTOMA MODEL: TOWARDS A MATHEMATICAL MODEL FOR THE INTERFACE BETWEEN MRI AND DRUG DISTRIBUTION

In an effort to develop more effective aerosol therapy procedures, we examined airflow patterns in the lung of a child (age four years). In particular, we were concerned with how ventilatory parameters (i.e., breathing rate and tidal volume) affected the patterns of airflow around tumors. To conduct the study, a computational fluid dynamics package, FIDAP was used to define a model lung. The results of simulations show the extent to which changing ventilatory parameters can affect flow patterns in the neighborhood of the tumors as well as drug distribution throughout the lung.

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Applications of a Mathematical Model for Drug Distribution in Mammals

Chemical Engineering in Medicine and Biology ◽

10.1007/978-1-4757-4748-5_13 ◽

1967 ◽

pp. 417-446 ◽

Cited By ~ 5

Author(s):

Kenneth B. Bischoff

Keyword(s):

Mathematical Model ◽

Drug Distribution

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Optimizing the delivery of combination therapy for tumors: A mathematical model

International Journal of Biomathematics ◽

10.1142/s1793524517500395 ◽

2017 ◽

Vol 10 (03) ◽

pp. 1750039 ◽

Cited By ~ 1

Author(s):

Clara Rojas Rodríguez ◽

Juan Belmonte-Beitia

Keyword(s):

Mathematical Model ◽

Blood Vessels ◽

Chemotherapeutic Agent ◽

Drug Distribution ◽

Optimal Controls ◽

Chemotherapy Treatment ◽

Time Problem ◽

Drug Doses ◽

Angiogenic Inhibitors

We present in this paper a new mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent for a tumor. Our model takes into account the process of angiogenesis and the quality of the vasculature discriminating between stable blood vessels and unstable blood vessels. We characterize theoretically the optimal controls on drug distribution to minimize the number of cancer cells at the end of the treatment in a free horizon time problem with restrictions on the total amount of drug doses. Finally, we solve the optimal control problem by using numerical simulations, obtaining as a result that, despite the number of the tumor cells decrease with anti-angiogenic treatment, the best results are reached at the end of the chemotherapy treatment.

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Cytopathology of Cardiac Tissue from Daunomycin-Treated Mice

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100066802 ◽

1971 ◽

Vol 29 ◽

pp. 550-551

Author(s):

Robert H. Liss ◽

Frances A. Cotton

Keyword(s):

Cardiac Tissue ◽

Cardiac Toxicity ◽

Drug Distribution ◽

Personal Communication ◽

Intravenous Dose ◽

Single Intravenous Dose ◽

Physiologic Saline ◽

Histopathologic Changes ◽

Distribution Studies ◽

Lung And Kidney

Daunomycin, an antibiotic used in the clinical management of acute leukemia, produces a delayed, lethal cardiac toxicity. The lethality is dose and schedule dependent; histopathologic changes induced by the drug have been described in heart, lung, and kidney from hamsters in both single and multiple dose studies. Mice given a single intravenous dose of daunomycin (10 mg/kg) die 6-7 days later. Drug distribution studies indicate that the rodents excrete most of a single dose of the drug as daunomycin and metabolite within 48 hours after dosage (M. A. Asbell, personal communication).Myocardium from the ventricles of 6 moribund BDF1 mice which had received a single intravenous dose of daunomycin (10 mg/kg), and from controls dosed with physiologic saline, was fixed in glutaraldehyde and prepared for electron microscopy.

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