29.06.2014 Views

Columbia University

Columbia University

Columbia University

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Principle of BIA (Cylindrical model)<br />

Suppose the human body consists of fat free<br />

mass with a resistivity of ρ and fat with ∽.<br />

Given the cross-sectional area is S, the<br />

length L, and the volume V.<br />

Resistance R = ρ L/S. Multiply the right<br />

side by L/L to obtain:<br />

R = ρL 2 /SL = ρL 2 /V<br />

Hence,<br />

V = ρL 2 /R<br />

It implies the water percentage in the body.<br />

Because<br />

density = weight/V,<br />

it can be expressed by:<br />

density = weight × R/ρL 2<br />

Current<br />

脂 Fat 肪 組 織<br />

Fat 除 free 脂 肪 mass 組 織<br />

L

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!