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1. MATHEMATICAL MODELLING OF CARDIOVASCULAR SYSTEM Abstract: Introduction to art of mathematical modeling. Modeling of the cardiovascular system by giving mathematical equation for physiological flow in veins. Taking journey to the techniques on artificial modeling of heart.

2. MATHEMATICAL MODELLING OF CARDIOVASCULAR SYSTEM MD AKSAM VK Indian academy of science project fellow on mathematical modeling Maths dept Pondichery university

3. Mathematical modeling Mathematical modeling is the art of capturing natural phenomenon of real life in the mathematical equation. Example: bike speedometer shows 70 km/hr Distance =x (not known) Direction (not known) Time taken (not known)

4. Figure : Sketch of flow of fluid with mild steno sis in one wall. Steady Poiseuille flow . Mild steno sis Radius of tube is larger than steno sis

5. Study of modeling includes Elastic and visco-elastic behavior of walls Non-newtonian fluid flow equation of blood Mechanics of circulation Mass and heat transfer of blood Chemical reactions in fluid Biological behavior of human physiology Lubrication in heart valves

6. Journey to artificial heart Computational fluid dynamics(CFD) techniques to simulate and models by using advance computer Artificial plastic or metallic material for device External energy to work the device

7. Artificial device Devices is tested on animals like rat, dogs etc. Hopeful that it will work in humans.

8. conclusion Mathematical models go beyond experiments and observation.eg for different constraints you can have different solutions. Mathematical modeling saves time, money and efforts of performing results in laboratory with experimental tools. There are many problems that can’t be conducted in laboratory for instance cardiovascular flow etc. Experimental study is needed for analysis of physical quantities.