A Mathematical Study of the Dynamics of Conscious Acquiring of Knowledge through Reading and Cramming and the Process of Losing Information from the Brain by Natural Forgetting of Facts

We model the conscious learning process of human brain with a dynamical equation (cramming dynamics) by considering both the data entry and loss of data simultaneously. We show the analytical solution of the differential equation in some special cases. We define some indexes like memory index, merit index, utilization index etc. Using them we can measure the corresponding memory functions. Applications of this model have also been discussed. More general numerical and analytical results are also presented at the end.