A formal mathematical framework for physiological observations, experiments and analyses.

A formal mathematical framework for physiological observations, experiments and analyses.
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用于生理观察、实验和分析的正式数学框架。

DOI:
10.1098/rsif.2011.0616
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发表时间:
2012
期刊:
Journal of the Royal Society, Interface
影响因子:
--
通讯作者:
Nielsen TA
Nielsen TA
中科院分区:
--
文献类型:
--
作者:
Nielsen TA

文献摘要

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实验可能很复杂并产生大量异构数据,这使得它们的执行、分析、独立复制和荟萃分析变得困难。我们提出了一个用于生理学实验和分析的数学模型来解决这些问题。我们证明实验可以由与时间相关的量组成,并表达为纯数学方程。我们用于表示生理观察的结构可以携带任何类型的信息,因此为广泛的观察提供了精确的本体。我们的框架很简洁,可以用几个方程明确地定义整个实验。为了证明我们的方法可以实施,我们展示了用于运行和分析两个重要实验的方程,这些实验描述了视觉刺激的神经元反应和脊椎动物神经元的动态钳制。我们的想法可以为制定神经生理学数据采集、分析和通信的新标准提供理论基础。
Experiments can be complex and produce large volumes of heterogeneous data, which make their execution, analysis, independent replication and meta-analysis difficult. We propose a mathematical model for experimentation and analysis in physiology that addresses these problems. We show that experiments can be composed from time-dependent quantities, and be expressed as purely mathematical equations. Our structure for representing physiological observations can carry information of any type and therefore provides a precise ontology for a wide range of observations. Our framework is concise, allowing entire experiments to be defined unambiguously in a few equations. In order to demonstrate that our approach can be implemented, we show the equations that we have used to run and analyse two non-trivial experiments describing visually stimulated neuronal responses and dynamic clamp of vertebrate neurons. Our ideas could provide a theoretical basis for developing new standards of data acquisition, analysis and communication in neurophysiology.