Development of “Mathematical Technology for Cytopathology,” an Image Analysis Algorithm for Pancreatic Cancer

Reiko Yamada, Kazuaki Nakane, Noriyuki Kadoya, Chise Matsuda, Hiroshi Imai, Junya Tsuboi, Yasuhiko Hamada, Kyosuke Tanaka, Isao Tawara, Hayato Nakagawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Pancreatic ductal adenocarcinoma (PDAC) is a leading cause of cancer-related death worldwide. The accuracy of a PDAC diagnosis based on endoscopic ultrasonography-guided fine-needle aspiration cytology can be strengthened by performing a rapid on-site evaluation (ROSE). However, ROSE can only be performed in a limited number of facilities, due to a relative lack of available resources or cytologists with sufficient training. Therefore, we developed the Mathematical Technology for Cytopathology (MTC) algorithm, which does not require teaching data or large-scale computing. We applied the MTC algorithm to support the cytological diagnosis of pancreatic cancer tissues, by converting medical images into structured data, which rendered them suitable for artificial intelligence (AI) analysis. Using this approach, we successfully clarified ambiguous cell boundaries by solving a reaction–diffusion system and quantitating the cell nucleus status. A diffusion coefficient (D) of 150 showed the highest accuracy (i.e., 74%), based on a univariate analysis. A multivariate analysis was performed using 120 combinations of evaluation indices, and the highest accuracies for each D value studied (50, 100, and 150) were all ≥70%. Thus, our findings indicate that MTC can help distinguish between adenocarcinoma and benign pancreatic tissues, and imply its potential for facilitating rapid progress in clinical diagnostic applications.

Original languageEnglish
Article number1149
Issue number5
Publication statusPublished - 2022 May


  • Artificial intelligence
  • Benign tissue
  • Diffusion coefficient
  • Mathematical Technology for Cytopathology
  • Medical image
  • Multivariate analysis
  • Nuclear boundary
  • Pancreatic ductal adenocarcinoma
  • Rapid on-site evaluation
  • Reaction–diffusion system


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