The elevated plus-maze (EPM) is a standard animal model of fear/anxiety in which the rodent is initially placed at the center of an elevated four-arm maze in which two arms are open and two are enclosed by walls. The anxiety-related behavior comes from the conflict between staying in a safe place (the enclosed arms) and exploring a potentially dangerous environment (the open arms). The rat's anxiety level in the EPM is characterized by two main measures, namely the number of times the animal enters each kind of arm and the time spent in each kind of arm. In this work we present a modified version of an earlier model  for rat exploratory behavior based on competition between motivation and aversion and compare the simulation results with experimental data for real rats .
The model is a network based on the structure of a plus-maze divided into squares of equal size, five per arm and a central one . Each network unit corresponds to a specific square and the connections, only between closest neighbors, represent the possible adjacent squares where a virtual rat could go. The exploratory behavior is modeled by a matrix of network weights wij whose elements represent the rat's tendency for exploring square i from square j. This matrix is given by wij = Mij - Aij, where Mij is the animal's motivation to explore square i from square j and Aij is its aversion to move to square i from square j. This equation was kept from the original model but here the equations that model the way the matrices Mij and Aij depend on he number of times Nij the virtual rat moves from square j to square i were modified to Mij = M/(μ + Nijβi) and Aij = A/(ν + Nijαi), where M and A are constants which have the same values for all virtual rats and determine, respectively, the initial values of motivation and anxiety, μ and ν are parameters that vary from virtual rat to virtual rat determining their individual differences and αi and βi are positive exponents which determine how motivation and anxiety respectively decay with Nij. The exponent αi can have two different values, one when square i represents a place inside an open arm, which we will call αio, and the other when i represents any other square of the EPM, which we will call αia. The exponent βi also can have two different values, one when square i represents a place inside a closed arm, which we will call βic, and the other when i represents any other place of the EPM, which we will call βia. The values of the parameters were determined by an exhaustive search using genetic algorithms with a fitness function which combines the two anxiety measures mentioned above.
The results of the simulations agree well with experimental data from our lab . The time spent in the arms and the number of entries into them by the virtual rat are similar to the same measures exhibited by real rats.
The modified model is capable of replicating the rat exploratory behavior in the EPM. The major weakness of the model is its large number of parameters, which turns its interpretation in a biological or cognitive context difficult. In spite of this, the model can be considered as a first step for a theoretical understanding of the basis of rodent exploratory behavior.
We would like to thank FAPESP for funding this work.