Difference between revisions of "Human body surface area"
From Pynomo
(→Construction of the nomograph) |
(→Construction of the nomograph) |
||
Line 20: | Line 20: | ||
Equation was written as | Equation was written as | ||
− | <math>-\log(BSA | + | <math>-\log(\frac{BSA}{0.007184})+\log(w^{0.425})+\log(h^{0.725})=0 </math> |
Revision as of 19:48, 29 August 2008
Human body surface area | |
![]() | |
author | Leif Roschier |
---|
Contents
Theory and background
Calculated body surface area (BSA) of human body is according to Ref. [1] citing [2]
- [math]{BSA}=(71.84 \times {weight \mbox{ (kg)}}^{0.425} \times {height \mbox{ (cm)}}^{0.725})\ / \ 10000[/math]
References
- ↑ http://en.wikipedia.org/wiki/Body_surface_area
- ↑ Du Bois & Du Bois, Arch Intern Med 1916;17:863:
Construction of the nomograph
A nomograph is illustrated at [1] that guided the construction of the nomograph. A type 1 was chosen and dual scales were put by using type 8 singular blocks.
Equation was written as
[math]-\log(\frac{BSA}{0.007184})+\log(w^{0.425})+\log(h^{0.725})=0 [/math]
for type 1 block.
References
Generated nomograph
Body surface area | |
---|---|
![]() |
|
Generated portable document file (pdf): | File:Ex dubois.pdf |
Source code
""" ex_dubois.py Body Surface Area (BSA) according to Du Bois & Du Bois, Arch Intern Med 1916;17:863: Body Surface Area = 0.007184* (Weight(kg)**0.425)*(Height(cm)**0.725) Copyright (C) 2007-2008 Leif Roschier This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <http://www.gnu.org/licenses/>. """ from nomographer import * # BSA (m2) BSA_params={ 'u_min':0.5, 'u_max':3.0, 'function':lambda u:-log(u/0.007184), 'title':r'BSA (m$^2$)', 'tick_levels':3, 'tick_side':'left', 'tick_text_levels':2, } weight_params={ 'tag':'mass', 'u_min':15.0, 'u_max':200.0, 'function':lambda u:log(u**0.425), 'title':r'm (kg)', 'tick_levels':3, 'tick_text_levels':2, 'scale_type':'linear', 'title_x_shift':0.8, } height_params={ 'tag':'height', 'u_min':75.0, 'u_max':220.0, 'function':lambda u:log(u**0.725), 'title':r'h (cm)', 'tick_levels':3, 'tick_text_levels':2, 'tick_side':'left', 'title_x_shift':-0.8, } block_1_params={ 'block_type':'type_1', 'width':10.0, 'height':10.0, 'f2_params':BSA_params, 'f1_params':weight_params, 'f3_params':height_params} weight_params_lbs={ 'tag':'mass', 'u_min':15.0*2.2, 'u_max':200.0*2.2, 'function':lambda u:log(u**0.425), 'title':r'm (lbs)', 'tick_levels':3, 'align_func':lambda u:u/2.2, 'tick_text_levels':2, 'tick_side':'left', 'scale_type':'linear', 'title_x_shift':-0.8, } block_2_params={ 'block_type':'type_8', 'f_params':weight_params_lbs } height_params_inch={ 'tag':'height', 'u_min':75.0/2.54, 'u_max':220.0/2.54, 'function':lambda u:log(u**0.725), 'title':r'h (inch)', 'tick_levels':4, 'align_func':lambda u:u*2.54, 'tick_text_levels':3, 'tick_side':'right', 'scale_type':'linear', 'title_x_shift':0.8, } block_3_params={ 'block_type':'type_8', 'f_params':height_params_inch } main_params={ 'filename':'ex_dubois.pdf', 'paper_height':20.0, 'paper_width':15.0, 'block_params':[block_1_params,block_2_params,block_3_params], 'transformations':[('rotate',0.01),('scale paper',)], 'title_str':r'Du Bois \& Du Bois: $BSA = 0.007184 m^{0.425} h^{0.725}$' } Nomographer(main_params)