Advances in the domains of electronics, communication technologies, artificial intelligence, and computing hardware have led to the development of Cyber-physical Systems (CPS); where physical structures, such as, machines, process equipment, buildings, offshore installations, integrate seamlessly with cyber systems to enhance operational efficiency. Data, from numerous sensors deployed to monitor various attributes of the equipment, operation and environmental conditions, is collected and transmitted over the communication network to processors. This data is analyzed using various algorithms and the output is used to optimize the performance and health of processes and equipment. Biomimicry is an approach for solving modern day technological challenges by taking inspirations from the solutions that have been successfully developed and tested by bio-organisms over the course of millions of years. This paper presents a proposed human cognition inspired framework for developing digital twins of processes or equipment. The framework consists of three components (a) Primary Component—inspired by the “old brain” in mammals for Procedural Decision Making used for taking initial decisions that are needed for safe operations (corresponding to Basic Needs in an organisms); (b) Secondary Component—inspired by the “new brain” in mammals for Deliberative Decision Making used for optimizing operations (corresponding to Functional Needs in organisms); and (c) Arbitrator Component—used for resolving decisions based on conflicting needs. Additionally, the paper discusses a bio-inspired digital twin framework specifically designed for iron ore sintering.