Abstract

1. Modeling Drug Delivery in the Rhesus MonkeyKoula Quirk , RET Fellow 2010RET Mentor: Dr. Andreas Linninger Department of Bioengineering, University of Illinois at ChicagoNSF- RET Program Introduction Abstract • Motivation • Improved precision of drug dosing will reduce risks and side effects • Need to reduce the number of animals used in clinical drug trials • Deepen our understanding of how drugs interact in the body leading to better drug delivery techniques Objective • To construct a one-dimensional mathematical compartmental model of blood flow in the rhesus monkey The way a drug is absorbed, metabolized, distributed, and eliminated by the body is poorly understood. A computational one-dimensional whole body mathematical model, with the organs represented as compartments, or tubes, is presented. Blood flow is simulated through these as blood pressure drops and blood is distributed throughout the body. Drug Delivery Model small intestine Figure 1: Main circulatory routes showing arterial and venous systems, shown for reference. Figure 3: Computational rhesus monkey model (based on rat model developed in LPPD) Figure 2: General anatomy of a monkey Method Method The first equation below is Darcy's law, the second is the Hagen-Poiseuille equation: Using Kirchoff’s conservation laws, Darcy’s law, and the Hagen-Poiseuille equation to model blood flow through compartments, or tubes, I constructed a one-dimensional model to simulate blood distribution through the organs, or compartments. Using these formulas, I computed values for organ resistance from blood flow and pressures reported in experimental data. Kirchoff’s conservation law, in essence, states that the sum of voltages in a closed circuit is zero. That is, input must equal output, i.e., in this case, blood is conserved. *GI Tract: large intestine, small intestine, cecum, pancreas, spleen, stomach, and sometimes the colon, rectum and esophagus.(Forsyth, 1968) References Conclusion Acknowledgements • Computational modeling provides a scientific way to interpret experimental data while reducing the number of animals used. • Designing better reference models can lead to more advanced simulation avenues which are key for education and research. • This will help in deepening our understanding of human physiology. • Dr. Andreas Linninger, Director NSF RET/UIC • Cierra M. Hall, REU 2010 • Sukhi Basati, LPPD • NSF Grant CBET EEC-0743068 • Normal distribution of cardiac output in the unanesthetized, restrained rhesus monkey. Forsyth. J. Appl. Physiol. 25: 1968 • Principles of Anatomy and Physiology, 12th ed. – 2009, Tortora and Derrickson