**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Wednesday, September 3, 2014 10:30 AM EDT

MC 6496

Tahmina Akhter, Applied Math, University of Waterloo

Stochastic and deterministic models of the pharmacokinetics of drugs

Pharmacokinetics (PK) is the study of the rate of change of drug concentration in the body by means of mathematical models. Traditionally, these models are compartment type (or lumped parameter) models, with the consequence that the drug concentration C(t) is just a function of time and the mathematical model consists of a system of coupled ordinary differential equations (ODE’s). These are simply rate equations in which the coefficients (the rates) are unknown and must be determined from experimental data. The PK rates capture, in general, a multiplicity of phenomena which are often neglected in the deterministic approach. But if we consider the so called macroscopic constants along with a random noise term either additive or multiplicative, then we will be able to evaluate important PK parameters more accurately. Now we have to deal with Random Differential Equations (RDE) and I will be discussing some of the problems and challenges which will be the focus of my PhD research.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

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