{"title":"[使用Gompertz生长模型的乳腺癌年表]。","authors":"W Bauer, J P Igot, Y Le Gal","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>The chronology of carcinoma of the breast based upon the size of the primary tumour and of its metastatic nodes in a simple exponential growth model leads to anomalies. The Gompertz model may be substituted for it in order to date the primary tumour and its metastases at the price of a hypothesis: the asymptotic size of the carcinoma. Its value has little influence on the initial doubling times chosen as a new time unit. 337 radical mastectomy specimens out of 500 examined fulfilled the necessary conditions for a precise quantitative study. If the age of the lesion expressed by taking the initial doubling time as a time unit is called K, the mean age of the primary carcinoma at the time of the first metastasis (FM) is K = 35. Its size is 15 mm3 and its diameter 3 mm. 90% of lymph node metastases occurred at K = 43 (size of primary carcinoma 125 mm3; diameter 6 mm). These results are in agreement with others obtained on theoretical or experimental bases. They tend to show that the earliest diagnosis, taking technical possibilities into account, cannot be early enough to precede lymphatic spread.</p>","PeriodicalId":75498,"journal":{"name":"Annales d'anatomie pathologique","volume":"25 1","pages":"39-56"},"PeriodicalIF":0.0000,"publicationDate":"1980-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"[Chronology of breast cancer using Gompertz' growth model].\",\"authors\":\"W Bauer, J P Igot, Y Le Gal\",\"doi\":\"\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The chronology of carcinoma of the breast based upon the size of the primary tumour and of its metastatic nodes in a simple exponential growth model leads to anomalies. The Gompertz model may be substituted for it in order to date the primary tumour and its metastases at the price of a hypothesis: the asymptotic size of the carcinoma. Its value has little influence on the initial doubling times chosen as a new time unit. 337 radical mastectomy specimens out of 500 examined fulfilled the necessary conditions for a precise quantitative study. If the age of the lesion expressed by taking the initial doubling time as a time unit is called K, the mean age of the primary carcinoma at the time of the first metastasis (FM) is K = 35. Its size is 15 mm3 and its diameter 3 mm. 90% of lymph node metastases occurred at K = 43 (size of primary carcinoma 125 mm3; diameter 6 mm). These results are in agreement with others obtained on theoretical or experimental bases. They tend to show that the earliest diagnosis, taking technical possibilities into account, cannot be early enough to precede lymphatic spread.</p>\",\"PeriodicalId\":75498,\"journal\":{\"name\":\"Annales d'anatomie pathologique\",\"volume\":\"25 1\",\"pages\":\"39-56\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1980-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales d'anatomie pathologique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales d'anatomie pathologique","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
乳腺癌的年表基于原发肿瘤的大小和它的转移淋巴结在一个简单的指数增长模型导致异常。Gompertz模型可以代替它,以便确定原发肿瘤及其转移的日期,但代价是假设:肿瘤的渐近大小。它的值对选择作为新时间单位的初始倍增次数影响不大。500例根治性乳房切除术标本中有337例符合精确定量研究的必要条件。若以初始倍增时间为时间单位表示病变的年龄为K,则原发性癌首次转移时的平均年龄(FM)为K = 35。其大小为15 mm3,直径为3 mm, 90%的淋巴结转移发生在K = 43(原发癌大小为125 mm3;直径6毫米)。这些结果与其他在理论或实验基础上得到的结果一致。它们往往表明,考虑到技术上的可能性,最早的诊断不能早到足以先于淋巴传播。
[Chronology of breast cancer using Gompertz' growth model].
The chronology of carcinoma of the breast based upon the size of the primary tumour and of its metastatic nodes in a simple exponential growth model leads to anomalies. The Gompertz model may be substituted for it in order to date the primary tumour and its metastases at the price of a hypothesis: the asymptotic size of the carcinoma. Its value has little influence on the initial doubling times chosen as a new time unit. 337 radical mastectomy specimens out of 500 examined fulfilled the necessary conditions for a precise quantitative study. If the age of the lesion expressed by taking the initial doubling time as a time unit is called K, the mean age of the primary carcinoma at the time of the first metastasis (FM) is K = 35. Its size is 15 mm3 and its diameter 3 mm. 90% of lymph node metastases occurred at K = 43 (size of primary carcinoma 125 mm3; diameter 6 mm). These results are in agreement with others obtained on theoretical or experimental bases. They tend to show that the earliest diagnosis, taking technical possibilities into account, cannot be early enough to precede lymphatic spread.