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Fractals in the Human Body

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Kaya Stitzhal

on 10 December 2012

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Transcript of Fractals in the Human Body

Fractals in the Human Body By Kaya Stitzhal Fractals are never ending patterns What are fractals? Fractals in the Lungs Fractals in the Heart Fractal Canopy Fractals in Blood Vessels Fractals are the same over many different scales
and are formed by repetition
Fractals have non-integer dimensions which means that they can dimensions between 1 and 2 or between 2 and 3 Fractals in the Brain Fractal Dimension Fractals are found both in nature and in
mathematics Sierpinski Triangle Fractal in Nature Self similarity in the human heartbeat Just like the branches of a self similar tree, the beats of the healthy human heart are statistically self-similar The healthy heart is the irregular heart The bronchial tubes in the human lung have one fractal dimension for the first seven generations of branching, and a different fractal dimension from there on in. This maximizes the surface area on which gas exchange takes place. This increases the efficiency of the lungs Fractal Dimension Fractal Canopy The branching of trachea and bronchioles is similar to fractal canopies. This has to do with bifurcation, which is the splitting one thing into two main parts. In a fractal canopy, you take a line segment and split it into two smaller segments at the end. This is the same process that takes place in the lungs. Fractal branching makes available much more surface area for absorption and transfer in bronchial tubes. Fractal Dimension of the bronchioles: very close to 3 Similarly to bronchial tubes, splitting can also be found in blood vessels. Arteries, for example start with the aorta, which splits into smaller blood vessels. The smaller ones split as well, and the splitting continues until the capillaries, which, just like alveoli, are extremely close to each other. Fractal Dimension of Arteries: 2.7 The brain is covered in folds, which gives the brain increased surface area for neurons. This can only be modeled by fractal geometry. Fractal Dimension of Brain: 2.73-2.79
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