### Abstract

Ahn CY, Kim SH, Jang SJ, Hong SW, Kim H, Lim BJ. A mathematical approach to the optimal examination of lymph nodes. APMIS 2011; 119: 868-76. There is no scientific evidence to support the idea that serial sectioning along the short axis of the lymph node is superior to a single bisection along the long axis. We mathematically evaluated methods of lymph node dissection and applied the result to six lymph nodes that had produced false negative results at the time of frozen examination. We simplified the geometry of a lymph node to that of a three-dimensional ellipse and compared two different cutting methods. Let A be the cross-sectional area obtained through a single bisection along the long axis, and let B be the sum of the cross-sectional areas of n fragments obtained via serial cutting along the short axis. The smallest n (n*) that makes a B larger than A can be calculated. (, the smallest integer greater than or equal to α; L, long axis; S, short axis). The probabilities of tumor detection when the node is bisected along the long axis (P(D _{A}|E)) and when serially cut along the short axis (P(D _{B}|E)) are as follows. and (T, size of the tumor cell cluster). According to these formulas, three out of six lymph nodes were not examined in the most appropriate manner.

Original language | English |
---|---|

Pages (from-to) | 868-876 |

Number of pages | 9 |

Journal | APMIS |

Volume | 119 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2011 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Pathology and Forensic Medicine
- Immunology and Allergy
- Microbiology (medical)

### Cite this

*APMIS*,

*119*(12), 868-876. https://doi.org/10.1111/j.1600-0463.2011.02795.x

}

*APMIS*, vol. 119, no. 12, pp. 868-876. https://doi.org/10.1111/j.1600-0463.2011.02795.x

**A mathematical approach to the optimal examination of lymph nodes.** / Ahn, Chi Young; Kim, Se Hoon; Jang, Seon Jung; Hong, Soon Won; Kim, Hyunki; Lim, Beom Jin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A mathematical approach to the optimal examination of lymph nodes

AU - Ahn, Chi Young

AU - Kim, Se Hoon

AU - Jang, Seon Jung

AU - Hong, Soon Won

AU - Kim, Hyunki

AU - Lim, Beom Jin

PY - 2011/12/1

Y1 - 2011/12/1

N2 - Ahn CY, Kim SH, Jang SJ, Hong SW, Kim H, Lim BJ. A mathematical approach to the optimal examination of lymph nodes. APMIS 2011; 119: 868-76. There is no scientific evidence to support the idea that serial sectioning along the short axis of the lymph node is superior to a single bisection along the long axis. We mathematically evaluated methods of lymph node dissection and applied the result to six lymph nodes that had produced false negative results at the time of frozen examination. We simplified the geometry of a lymph node to that of a three-dimensional ellipse and compared two different cutting methods. Let A be the cross-sectional area obtained through a single bisection along the long axis, and let B be the sum of the cross-sectional areas of n fragments obtained via serial cutting along the short axis. The smallest n (n*) that makes a B larger than A can be calculated. (, the smallest integer greater than or equal to α; L, long axis; S, short axis). The probabilities of tumor detection when the node is bisected along the long axis (P(D A|E)) and when serially cut along the short axis (P(D B|E)) are as follows. and (T, size of the tumor cell cluster). According to these formulas, three out of six lymph nodes were not examined in the most appropriate manner.

AB - Ahn CY, Kim SH, Jang SJ, Hong SW, Kim H, Lim BJ. A mathematical approach to the optimal examination of lymph nodes. APMIS 2011; 119: 868-76. There is no scientific evidence to support the idea that serial sectioning along the short axis of the lymph node is superior to a single bisection along the long axis. We mathematically evaluated methods of lymph node dissection and applied the result to six lymph nodes that had produced false negative results at the time of frozen examination. We simplified the geometry of a lymph node to that of a three-dimensional ellipse and compared two different cutting methods. Let A be the cross-sectional area obtained through a single bisection along the long axis, and let B be the sum of the cross-sectional areas of n fragments obtained via serial cutting along the short axis. The smallest n (n*) that makes a B larger than A can be calculated. (, the smallest integer greater than or equal to α; L, long axis; S, short axis). The probabilities of tumor detection when the node is bisected along the long axis (P(D A|E)) and when serially cut along the short axis (P(D B|E)) are as follows. and (T, size of the tumor cell cluster). According to these formulas, three out of six lymph nodes were not examined in the most appropriate manner.

UR - http://www.scopus.com/inward/record.url?scp=81355146423&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=81355146423&partnerID=8YFLogxK

U2 - 10.1111/j.1600-0463.2011.02795.x

DO - 10.1111/j.1600-0463.2011.02795.x

M3 - Article

C2 - 22085363

AN - SCOPUS:81355146423

VL - 119

SP - 868

EP - 876

JO - APMIS

JF - APMIS

SN - 0903-4641

IS - 12

ER -