Neurons are basic units of our nervous system used for communication between the brain and the body. Any disruption in their structures or communication can result in several disorders like Dementia and Alzheimer's disease (A.D.). In this paper, we explore the alterations in neurons causing A.D. Due to specific genetic mutations, neurons release and accumulate tau protein and beta-amyloid protein, thus hampering the communication process, leading to neuron death known as brain atrophy, and eventually shrinking the brain is the case in A.D. This paper discusses neuron modeling of a typical neuron and an Alzheimer's neuron to understand the difference and progression of A.D. and the fact that once these equations are concluded, they could be used to control the brain through a brain-computer interface. Modeling of neurons enables exploring different parameters and understanding the behavior of a particular system, and finally, concluding to represent a biological activity mathematically. [ABSTRACT FROM AUTHOR]