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Modeling normal and altered human erythrocyte shapes by a new parametric equation: Application to the calculation of induced transmembrane potentials
Author(s) -
San Martín S. Muñoz,
Sebastián J.L.,
Sancho M.,
Álvarez G.
Publication year - 2006
Publication title -
bioelectromagnetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.435
H-Index - 81
eISSN - 1521-186X
pISSN - 0197-8462
DOI - 10.1002/bem.20234
Subject(s) - parametric statistics , parametric equation , anisocytosis , physics , mathematical analysis , transmembrane protein , mechanics , mathematics , chemistry , geometry , medicine , statistics , biochemistry , receptor , anemia
We present simple parametric equations in terms of Jacobi elliptic functions that provide a realistic model of abnormal variations in size which maintain the biconcave shape of a normal erythrocyte (anisocytosis) and abnormal variations in shape which maintain the original volume of the erythrocyte (poikilocytosis), as well as continuous deformations from the normal to the altered shapes. We illustrate our results with parameterizations of microcytes, macrocytes, and stomatocytes, and we apply these parameterizations to the numerical calculation of the induced transmembrane voltage in microcytes, macrocytes, and stomatocytes exposed to an external electromagnetic field of 1800 MHz. Bioelectromagnetics 27:521–527, 2006. © 2006 Wiley‐Liss, Inc.