Statistical Moment Theory and Mean Residence Time Medical Presentation

MRT mean residence time PowerPoint Presentation

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Statistical Moment Theory & Mean Residence Time Presented to: Dr. Ahmad Mahmood Dean Faculty of Pharmacy Hajvery University
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Group Members Ali Mansoor (933) Hafiz Rahat Riaz Rana (917) Muhammad Umair (864) Syed Abbas Sajjad (890) Syed Qasim (891) Harry Hamid (915) Abdullah Yaqoob (928) Hafiz Asad (862) Ahmad qayyum (883) Shakeel Ahmad (882) Hasnain (871) AL-Meezan (910) Usman Ali (936)
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Statistical Moment Theory Statistical moment theory help in Non-compartmental analysis. In such model, no specific compartmental model has been assigned to the drug. Statistical moment theory provides a unique way to study time-related changes in a macroscopic event.
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Statistical Moment • Moments are the defined terms for specified statistical functions. Represented by µ.
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Macroscopic Event The overall event brought about by the constitutive elements is called a Macroscopic event. Example If a dose of tracer molecules is injected in a tank to track the residence time of the drug that stay in the tank then: Constitutive elements = tracer molecules Macroscopic event = Residence times shared by the molecules (tracer and drug)
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Probability Density Function
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MEAN RESIDENCE TIME (MRT) MRT describes the average time that drug molecule stays in the body. If drug dose Do is administered as IV bolus then: • The drug molecules distribute throughout the body. • The molecule stay in the body for various time periods. • Some molecules of drug leave the body immediately after entering. • Whereas, other drug molecules leave the body at a much later time periods.
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Mean Residence time The average time of residence, of the molecules in the dose, is called the mean residence time (MRT).
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How to calculate µ (moment) --------(1)
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If m=0 -----------(2) m=0
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If m = 1 -----------(3) m=1
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Summary
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AUC V/S AUMC Cp= plasma Concentration t= time
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Estimating AUC and AUMC Linear trapezoidal method 0 t1 t2 t3 tlast
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AUMC & AUC
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LIMITATIONS OF MRT AUC & AUMC, therefore MRT, can only be calculated after a drug is administered as a single dose. It is very difficult to measure AUC & AUMC for moment-time data at steady state. So MRT can’t be calculated at steady state.
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Mean Residence Time (MRT)
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Refrences: Applied Biopharmaceutics & Pharmacokinetics by Leone Shargel & Andrew B.C, Yu. 7th edition, chapter 25, page 835-838
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