Mathematical modeling is increasingly driving progress in clinical cognitive science and assessment. Mathematical modeling is essential for detecting certain effects of psychopathology through comprehensive understanding of telltale cognitive variables, such as workload capacity and efficiency in using capacity, as well as for quantitatively stipulating the subtle but important differences among these variables. The research paradigm guiding this formal clinical science is outlined. A distinctive cognitive abnormality in schizophrenia—taking longer to cognitively represent encountered stimulation—is used as a specific example to illustrate a general quantitative framework for studying intricate phenomena that impair mental health. Developments in mathematical modeling will also benefit symptom description and prediction; provide grounding in cognitive and statistical science for new methods of clinical assessment over time, both for individuals and for treatment regimens; and contribute to refining the cognitive-function side of clinical functional neurophysiology.

数学建模正日益推动临床认知科学和评估的进步。数学建模对于通过全面了解诸如工作量能力和使用能力的效率等明显的认知变量来检测精神病理学的某些影响以及定量规定这些变量之间微妙但重要的差异是必不可少的。概述了指导这种正式临床科学的研究范式。精神分裂症中一种独特的认知异常——需要更长的时间才能认知地表示遇到的刺激——被用作一个具体的例子来说明研究损害心理健康的复杂现象的一般定量框架。数学建模的发展也将有利于症状描述和预测；随着时间的推移，为个人和治疗方案的新临床评估方法提供认知和统计科学的基础；并有助于完善临床功能神经生理学的认知功能方面。