Faddy M J, Gosden R G
Department of Mathematics, University of Queensland, Brisbane, Australia.
Hum Reprod. 1995 Apr;10(4):770-5. doi: 10.1093/oxfordjournals.humrep.a136036.
A mathematical model has been developed to describe the rates of growth and death of follicles in human ovaries between 19 and 50 years of age. It was based on the numbers of follicles at three successive stages of development, which were obtained by counting follicles in histological sections of ovaries from 52 normal women. The model indicated that follicle dynamics were age dependent, with a transition at 38 years of age when the rate of follicle disappearance increased. The rates of follicle growth increased at successive stages but did not change with age. The annual egress from stage III (consisting of follicles with two or more granulosa cell layers) was affected by the declining numbers of small follicles, and corresponded to 31, nine and one follicles per day at 29-30, 39-40 and 49-50 years of age respectively. The rate of death at stage I (representing small, resting follicles) was the only parameter which varied significantly with age: no evidence of significant atresia was found for this stage in ovaries < or = 38 years old, but there was significant death above this age. As a consequence, only 40% of follicles leaving stage I reached stage III in older ovaries and just 1500 follicles in toto remained at 50 years of age from the 300,000 present at 19 years. This high death rate of small follicles appears to be responsible for advancing the timing of ovarian failure, and therefore of menopause, to midlife in our species.
已建立一个数学模型来描述19至50岁女性卵巢中卵泡的生长和死亡速率。该模型基于三个连续发育阶段的卵泡数量,这些数量是通过对52名正常女性卵巢组织切片中的卵泡进行计数获得的。该模型表明,卵泡动态随年龄而变化,在38岁时发生转变,此时卵泡消失速率增加。卵泡生长速率在连续阶段增加,但不随年龄变化。来自III期(由具有两层或更多层颗粒细胞的卵泡组成)的年排出量受小卵泡数量减少的影响,在29 - 30岁、39 - 40岁和49 - 50岁时分别对应于每天31个、9个和1个卵泡。I期(代表小的静止卵泡)的死亡速率是唯一随年龄有显著变化的参数:在≤38岁的卵巢中未发现该阶段有明显闭锁的证据,但在这个年龄以上有显著死亡。因此,在较年长的卵巢中,离开I期的卵泡只有40%到达III期,从19岁时的30万个卵泡到50岁时总共只剩下1500个卵泡。小卵泡的这种高死亡率似乎是导致我们人类卵巢功能衰竭以及绝经时间提前至中年的原因。