Ligand binding to DNA duplexes in a DNA biosensor was studied in conditions where the number of ligand molecules in the solution fluctuates under the influence of a fluctuating medium (external noise). A multiplicative stochastic differential equation was obtained for the case of low occupancy to describe the time-dependent change in the number of ligands absorbed on DNA duplexes. The average value and relaxation time of the output signal of a DNA biosensor were calculated as functions of ligand absorption on DNA duplexes in a fluctuating medium. Multiplicative noise was shown to decrease the average output signal of a DNA biosensor. Signal deterioration was found to have a threshold; i.e., the signal is not deteriorated at a certain ratio between the absorption parameters and the intensity of external noise. The relaxation time of the output signal of a DNA biosensor was shown to increase with the increasing intensity of external noise.

在溶液中配体分子的数量在波动介质（外部噪声）的影响下波动的条件下，研究了DNA生物传感器中配体与DNA双链体的结合。对于低占用率情况，获得了一个乘法随机微分方程，用于描述DNA双链体上吸收的配体数量随时间的变化。计算DNA生物传感器输出信号的平均值和弛豫时间，作为波动介质中DNA双链体上配体吸收的函数。结果表明，乘性噪声会降低DNA生物传感器的平均输出信号。发现信号恶化有阈值；即，信号在吸收参数和外部噪声的强度之间没有一定比例的恶化。