Abstract
A mathematical model may reveal the efficacy of a given therapy employed in the treatment of disease. We shall discuss advantages over experimental trials conducted in the laboratory. No ethical issue arises in violation of animal rights. Cost of solution is usually far less than experimental approaches. There is greater and simpler coverage of variables whose evaluations influence analysis and results. Analytical data acquired complement the imaging information inferred from Doppler optical coherence tomography. As an example, we refer to glaucoma, an eye disease that damages the optic nerve. Fluid delivers tissue nutrients and flows through a trabecular meshwork. Cellular debris within the meshwork blocks free movement. Accompanying faulty drainage, intraocular pressure rises and the elevated level is transmitted to the lamina cribrosa where axons of glia cells pass to form the optic nerve. Mass conservation equation and three momentum equations are sufficient to determine four unknown functions of aqueous humor pressure and three components of velocity subject to boundary and initial conditions. Separation of the boundary layer occurs within the blocked meshwork. Moving turbulent mixtures are formed. Doppler and tonometry data furnish parameters of the model. Measure of efficacy is then determined by the relationship between pressure and velocity. A mathematical model can reveal efficacy of a given therapy employed in the treatment of disease. We shall discuss advantages over experimental trials in learning comparative effects of presented therapies.
Presenters
Samuel E. MoskowitzResearch Professor and Emeritus Professor of Applied Mathematics, The Hebrew University of Jerusalem
Details
Presentation Type
Paper Presentation in a Themed Session
Theme
Interdisciplinary Health Sciences
KEYWORDS
Efficacy Therapy Mathematical
Digital Media
This presenter hasn’t added media.
Request media and follow this presentation.