Mathematical model for wireless sensor nodes security

Wireless sensor networks have recently emerged as an important means to study and interact with physical world. In previous era, castles were surrounded by moats (deep trenches, filled with water, and even alligators) to prevent or discourage intrusion attempts. Today one can replace such barriers with stealthy and wireless sensors. In this paper, we develop mathematical foundations model using barriers concept to design secure wireless sensors nodes. Security becomes one of the major concerns when there are potential attacks against sensor network nodes. Thus we have designed fundamental security in disk shaped to provide basic security elements that can be implemented in various sensor nodes. The mathematical models introduced in this paper are flexible and efficient to be embedded in sensor nodes and can create a suitable nodes components security in hostile environments. We also demonstrate how these nodes can be deployed in wall and belt form to fulfill their tasks.