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# mathematical modelling of cardiovascular system

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### mathematical modelling of cardiovascular system

1. 1. MATHEMATICAL MODELLING OF CARDIOVASCULAR SYSTEM<br />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.<br />
2. 2. MATHEMATICAL MODELLING OF CARDIOVASCULAR SYSTEM<br />MD AKSAM VK<br />Indian academy of science project fellow on mathematical modeling<br />Maths dept<br />Pondichery university<br />
3. 3. Mathematical modeling<br />Mathematical modeling is the art of capturing natural phenomenon of real life in the mathematical equation.<br />Example: bike speedometer shows 70 km/hr<br />Distance =x (not known)<br />Direction (not known)<br />Time taken (not known)<br />
4. 4. Figure : Sketch of flow of fluid with mild steno sis in one wall. Steady Poiseuille flow .<br />Mild steno sis<br />Radius of tube is larger than steno sis<br />
5. 5. Study of modeling includes<br />Elastic and visco-elastic behavior of walls<br />Non-newtonian fluid flow equation of blood<br />Mechanics of circulation<br />Mass and heat transfer of blood<br />Chemical reactions in fluid<br />Biological behavior of human physiology<br />Lubrication in heart valves <br />
6. 6. Journey to artificial heart<br />Computational fluid dynamics(CFD) techniques to simulate and models by using advance computer<br />Artificial plastic or metallic material for device<br />External energy to work the device<br />
7. 7. Artificial device<br />Devices is tested on animals like rat, dogs etc.<br />Hopeful that it will work in humans.<br />
8. 8. conclusion<br />Mathematical models go beyond experiments and observation.eg for different constraints you can have different solutions.<br />Mathematical modeling saves time, money and efforts of performing results in laboratory with experimental tools.<br />There are many problems that can’t be conducted in laboratory for instance cardiovascular flow etc.<br />Experimental study is needed for analysis of physical quantities.<br />