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衰老动力学、mTOR-AMPK自噬开关与毒物兴奋效应的生物数学模型
从冈珀茨死亡率定律、线粒体低剂量应激到心肺适能的流行病学及古典养生中和观考辨
Ageing Kinetics, the mTOR-AMPK Autophagy Switch and Hormesis: From the Gompertz Mortality Law and Mitohormesis to Cardiorespiratory Fitness Epidemiology, Read Beside Classical Chinese Longevity Philosophy
DOI10.5281/zenodo.23770092摘要
「自噬」「毒物兴奋」「线粒体低剂量应激」「Zone 2」常被组合成一个故事：吃得太勤把细胞锁在合成状态，适度的饥饿与运动应激开启修复，死亡率曲线因此可以推迟。本书用衰老的生物数学模型与运动流行病学把这个故事逐段拆开：冈珀茨—梅克姆定律与约 8 年的死亡率翻倍时间（典型值而非常数），可靠性理论对指数上升与高龄减速的定性解释，以及没有得到美国数据支持的「发病压缩」；mTORC1、AMPK 与 ULK1 的两输入开关，以及「持续进食使受损蛋白线性堆积」只在基础清除为零时成立；毒物兴奋效应的定义（不包含「有益」，刺激通常只有 30%–60%）、检测难题与线粒体低剂量应激的线虫证据，「运动期间补充抗氧化剂阻断益处」没有一致重复；蛋白稳态模型中的临界清除速率与滞后；心肺适能流行病学（每高 1 MET 全因死亡风险约低 13%；克利夫兰诊所 122,007 名患者中低对精英的调整风险比 5.04，与吸烟 1.41 可比的是「低于平均对高于平均」的 1.41），风险比换算为冈珀茨曲线上年数的假设，反向因果与遗传混杂，以及 Generation 100 随机试验的阴性结果；班尼斯特模型对强度分布的「判决」取决于人为的区权重，「Zone 2 特异地提高线粒体」在人体中证据不足。
各章与《吕氏春秋·尽数》「流水不腐，户枢不蝼」（通行本作「蝼」）、《三国志·华佗传》「人体欲得劳动，但不当使极尔」与《素问》并读，并检讨古代服食金石丹药的中毒，说明古典养生是生活节律的经验总结，不是分子机制或临床证据。第八章给出四步生理韧性与恢复核查表，以及一项预注册随机对照试验：久坐成年人随机接受 12 周、每周 3 次 45 分钟、强度不超过第一通气阈值的坡道快走（坡度个体化，15% 只作上限）或常规步数建议，唯一主要结局为 1 分钟心率恢复，每组 86 名可分析、随机化 102 名，共 204 人。书中有 16 段可运行的 Python 程序。本书不是医疗建议，不构成任何抗衰老药物、补充剂或极端禁食的建议，不给任何剂量。
关键词：冈珀茨—梅克姆定律；死亡率翻倍时间；衰老的可靠性理论；发病压缩；mTORC1；AMPK；ULK1；细胞自噬；毒物兴奋效应；线粒体低剂量应激；抗氧化剂与运动；衰老标志；蛋白稳态；分子伴侣；心肺适能；风险比；E 值；班尼斯特模型；极化训练；心率恢复
Abstract
"Autophagy", "hormesis", "mitochondrial low-dose stress" and "Zone 2" are often combined into one story: eating too often locks cells into a building state, moderate hunger and exercise stress switch on repair, and so the mortality curve can be pushed back. This book takes the story apart with biomathematical models of ageing and the epidemiology of exercise: the Gompertz–Makeham law and a mortality doubling time of about 8 years (a typical value, not a constant), reliability theory as a qualitative account of the exponential rise and late-life deceleration, and a compression of morbidity that US data do not support; the two-input mTORC1–AMPK–ULK1 switch, and why "constant eating makes damaged protein pile up linearly" holds only with zero basal clearance; the definition of hormesis (which excludes "beneficial", with stimulation usually 30–60 %), the difficulty of detecting it, the worm evidence for mitohormesis, and the inconsistent replication of "antioxidants block the benefits of exercise"; a critical clearance rate and hysteresis in a model of proteostasis; the epidemiology of cardiorespiratory fitness (about 13 % lower mortality per MET; an adjusted 5.04 for low versus elite fitness among 122,007 Cleveland Clinic patients, where the comparison of like with smoking's 1.41 is below versus above average, 1.41), the assumptions behind converting hazard ratios into years on the Gompertz curve, reverse causation and genetic confounding, and the null Generation 100 trial; and a Banister model whose verdict on intensity distribution depends on chosen zone weights, with weak human evidence that "Zone 2 specifically raises mitochondria".
The chapters are read beside the *Lüshi chunqiu* ("flowing water does not go foul, a door pivot is not eaten by worms"), Hua Tuo's "the body needs to move, but should not be pushed to the limit" and the *Suwen*, with a review of poisoning by ancient mineral elixirs, treating classical longevity practice as experience of the rhythms of life rather than mechanism or clinical evidence. Chapter 8 gives a four-step resilience and recovery checklist and a pre-registered randomised trial: sedentary adults receive 12 weeks of 45-minute incline walks three times a week at or below the first ventilatory threshold (grade individualised, 15 % only as an upper limit) or standard steps advice; the single primary outcome is one-minute heart-rate recovery, with 86 analysable and 102 randomised per arm, 204 in all. The book contains 16 runnable Python programs. It is not medical advice, makes no recommendation on any anti-ageing drug, supplement or extreme fasting, and gives no doses.
Keywords: Gompertz–Makeham law; mortality rate doubling time; reliability theory of ageing; compression of morbidity; mTORC1; AMPK; ULK1; autophagy; hormesis; mitohormesis; antioxidants and exercise; hallmarks of ageing; proteostasis; molecular chaperones; cardiorespiratory fitness; hazard ratio; E-value; Banister model; polarised training; heart-rate recovery
目录 · Contents
- 序：曲线、开关与剂量English 中文Preface: Curves, Switches and Doses
- 第一章 冈珀茨—梅克姆定律：死亡率曲线的形状English 中文Chapter 1 The Gompertz–Makeham Law: the Shape of the Mortality Curve
- 第二章 mTORC1、AMPK 与 ULK1：营养感应的开关English 中文Chapter 2 mTORC1, AMPK and ULK1: the Nutrient-Sensing Switch
- 第三章 毒物兴奋效应与线粒体低剂量应激English 中文Chapter 3 Hormesis and Mitochondrial Low-Dose Stress
- 第四章 蛋白稳态、伴侣蛋白与临界清除速率English 中文Chapter 4 Proteostasis, Chaperones and the Critical Clearance Rate
- 第五章 心肺适能与死亡率：流行病学证据及其边界English 中文Chapter 5 Cardiorespiratory Fitness and Mortality: the Epidemiological Evidence and Its Limits
- 第六章 Zone 2、极化训练与班尼斯特脉冲—响应模型English 中文Chapter 6 Zone 2, Polarised Training and Banister's Impulse–Response Model
- 第七章 原典并读：「动」「节」与「中和」，以及服食之害English 中文Chapter 7 Reading the Classics: Movement, Measure and Balance, and the Harm of Elixirs
- 第八章 实践与预注册试验English 中文Chapter 8 Practice and a Pre-registered Trial
How to cite · 引用
Fan, Y. (2026). Ageing Kinetics, the mTOR-AMPK Autophagy Switch and Hormesis: From the Gompertz Mortality Law and Mitohormesis to Cardiorespiratory Fitness Epidemiology, Read Beside Classical Chinese Longevity Philosophy [衰老动力学、mTOR-AMPK自噬开关与毒物兴奋效应的生物数学模型] (Version 1.0.0). 5D Library. https://doi.org/10.5281/zenodo.23770092
BibTeX
@book{fan2026longevity,
title = {{Ageing Kinetics, the mTOR-AMPK Autophagy Switch and Hormesis}: From the Gompertz Mortality Law and Mitohormesis to Cardiorespiratory Fitness Epidemiology, Read Beside Classical Chinese Longevity Philosophy},
author = {Fan, Yafu},
year = {2026},
publisher = {5D Library},
edition = {Version 1.0.0},
doi = {10.5281/zenodo.23770092},
url = {https://doi.org/10.5281/zenodo.23770092},
note = {Chinese title: 衰老动力学、mTOR-AMPK自噬开关与毒物兴奋效应的生物数学模型}
}
| DOI | https://doi.org/10.5281/zenodo.23770092 |
|---|---|
| DOI（全部版本 all versions） | https://doi.org/10.5281/zenodo.23770091 |
| ORCID | https://orcid.org/0009-0004-3519-1203 |
| 5D Library ID | 5DL-B-030 |
| 版本 Version | 1.0.0 · 中英双语版 Bilingual edition |
| 出版日期 Date | 2026-10-29 |
| 网址 Online | https://5dlibrary.com/books/longevity-autophagy-hormesis/ |
| SHA-256 · longevity-autophagy-hormesis_bilingual_v1.0.0.pdf | 67e7738b01e73a3e21fd14f197cf01fb639761595527df9cbef9ab12d9a2b175 |
| SHA-256 · longevity-autophagy-hormesis_en_v1.0.0.pdf | d60e2988665e3897eeee3b3e7cf319745b57943b04ad1fd345c981aed4da4ac8 |
| SHA-256 · longevity-autophagy-hormesis_zh_v1.0.0.pdf | 19bd1ce4a55949b9daedf2e6c3e630fccf7e2803821565a764777b0f34f20ee7 |
| Licence · 许可 | Licensed under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0). https://creativecommons.org/licenses/by-nc-nd/4.0/ |
Disclosure. The author uses the works of 5D Library, including this book, as the methodological basis of his community courses, the 5D Ascension Cards (Dimensional Shift Card Decks) and the Yafu AI knowledge base, and therefore has a commercial interest in the subject of this book. In addition, the author and the group that includes 5D Library operate ketohackers.com and nadplusnadplus.com, popular-science websites about ketogenic eating and NAD⁺ respectively, and therefore have a direct commercial interest in the subject of this book; the book names no brand or product, recommends no supplement and gives no doses. The book promotes no course, card deck or service; the Chapter 8 trial is designed to be run and analysed by researchers independent of the author's business and does not recruit from the author's community, students or customers; all the code and the study protocol are published openly for anyone to check.