Maestrini Davide, Abler Daniel, Adhikarla Vikram, Armenian Saro, Branciamore Sergio, Carlesso Nadia, Kuo Ya-Huei, Marcucci Guido, Sahoo Prativa, Rockne Russell C
Division of Mathematical Oncology, City of Hope, National Medical Center, Duarte, CA, United States.
Department of Pediatrics, City of Hope, National Medical Center, Duarte, CA, United States.
Front Cell Dev Biol. 2018 May 29;6:55. doi: 10.3389/fcell.2018.00055. eCollection 2018.
Here we present a theoretical and mathematical perspective on the process of aging. We extend the concepts of physical space and time to an abstract, mathematically-defined space, which we associate with a concept of "biological space-time" in which biological dynamics may be represented. We hypothesize that biological dynamics, represented as trajectories in biological space-time, may be used to model and study different rates of biological aging. As a consequence of this hypothesis, we show how dilation or contraction of time analogous to relativistic corrections of physical time resulting from accelerated or decelerated biological dynamics may be used to study precipitous or protracted aging. We show specific examples of how these principles may be used to model different rates of aging, with an emphasis on cancer in aging. We discuss how this theory may be tested or falsified, as well as novel concepts and implications of this theory that may improve our interpretation of biological aging.
在此，我们从理论和数学角度阐述衰老过程。我们将物理空间和时间的概念扩展到一个抽象的、数学定义的空间，我们将其与“生物时空”的概念相关联，在这个空间中可以表示生物动力学。我们假设，在生物时空中表示为轨迹的生物动力学可用于建模和研究不同的生物衰老速率。基于这一假设，我们展示了类似于物理时间因生物动力学加速或减速而产生的相对论修正那样的时间膨胀或收缩，如何可用于研究急剧或持久的衰老。我们给出了这些原理如何用于建模不同衰老速率的具体例子，重点是衰老过程中的癌症。我们讨论了该理论如何得到验证或证伪，以及该理论的新概念和意义，这些可能会改善我们对生物衰老的理解。
