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Trajectory Data Analyses for Pedestrian Space-time Activity Study

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Aging in a Relativistic Biological Space-Time.

Davide Maestrini¹, Daniel Abler¹, Vikram Adhikarla¹

¹Division of Mathematical Oncology, City of Hope, National Medical Center, Duarte, CA, United States.

Frontiers in Cell and Developmental Biology

|June 14, 2018

Summary

This study introduces "biological space-time" to model aging dynamics. Mathematical concepts of time dilation and contraction are applied to understand varied aging rates and their implications for diseases like cancer.

Keywords:

aging biological clocks biological space-time manifolds special relativity time-contraction

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Area of Science:

Theoretical biology
Mathematical modeling of aging
Biophysics

Background:

Aging is a complex biological process with varying rates across individuals.
Current models often lack a unified theoretical framework to explain these variations.
Understanding aging dynamics is crucial for addressing age-related diseases.

Purpose of the Study:

To propose a novel theoretical framework for understanding biological aging.
To introduce the concept of 'biological space-time' for modeling aging dynamics.
To explore mathematical analogies with relativistic time dilation/contraction for aging rates.

Main Methods:

Development of a theoretical model based on abstract mathematical space.
Representation of biological dynamics as trajectories in 'biological space-time'.
Application of principles analogous to relativistic time corrections to biological aging.

Main Results:

Biological dynamics can be modeled as trajectories in a defined 'biological space-time'.
Mathematical concepts of time dilation/contraction can represent accelerated or decelerated aging.
The framework allows modeling of precipitous or protracted aging, with examples in cancer and aging.

Conclusions:

The 'biological space-time' theory offers a new perspective on aging variability.
This framework provides testable hypotheses for aging research.
The theory has implications for interpreting biological aging and age-related pathologies.