Fors Uno, Ahlquist Michael L, Skagerwall Roger, Edwall Lennart G A, Haegerstam Glenn A T
Departments of Endodontics and Biomedical Information, Karolinska Institutet, StockholmSweden.
Pain. 1984 Apr;18(4):397-408. doi: 10.1016/0304-3959(84)90052-6.
Intradental nerve activity (INA) induced by cold stimulation of human teeth is regularly accompanied by pain perception. In this study a mathematical model was developed in order to quantify the relationship between INA and pain. In 5 patients (45 experiments) INA was recorded using electrodes implanted in lower incisor teeth. Brief cold stimulations induced bursts of INA. The intensity of the resulting pain was simultaneously evaluated by means of an intermodal matching technique, finger span. The relationship between perceived pain and the integrated INA was analyzed using various mathematical operations (inter alia Fourier analysis) by means of a computer. A transfer function which describes the pain response following INA was found. This preliminary mathematical model, which is characterized by 5 parameters, consists of 2 parts, one which responds to fast changes in the afferent nerve signal, and another which reacts with a delay. The validity of the model has been tested, and it was found that the model consists of an adequate number of parameters and their cross-interaction is low. The analysis indicates that the parameters which determine the pain response following INA can be quantified and that they might be used as a measure of the efficacy of various pain relieving procedures.
人类牙齿受到冷刺激所诱发的牙内神经活动（INA）通常伴随着疼痛感知。在本研究中，为了量化INA与疼痛之间的关系，建立了一个数学模型。对5名患者（进行了45次实验），使用植入下颌切牙的电极记录INA。短暂的冷刺激诱发了INA的爆发。通过一种多模态匹配技术——指距，同时评估由此产生的疼痛强度。借助计算机，使用各种数学运算（尤其是傅里叶分析）分析了感知疼痛与积分INA之间的关系。发现了一个描述INA后疼痛反应的传递函数。这个初步的数学模型由5个参数表征，由两部分组成，一部分对传入神经信号的快速变化做出反应，另一部分则有延迟反应。对该模型的有效性进行了测试，发现该模型具有足够数量的参数，并且它们之间的交叉相互作用较低。分析表明，决定INA后疼痛反应的参数可以被量化，并且它们可能用作各种止痛程序疗效的一种度量。
