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Team:HZAU-China/Modeling/Cellular automata
From 2013.igem.org
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<p style="font-size:16px;font-family:arial, sans-serif;"><b>Cellular Space</b>: A collection of cells distributed in a 2-dimentional space. The cellular space is divided into square lattice. Suppose the size of the cellular space is N = m*m where m is the number of rows (columns) and 100 in our model.</p> | <p style="font-size:16px;font-family:arial, sans-serif;"><b>Cellular Space</b>: A collection of cells distributed in a 2-dimentional space. The cellular space is divided into square lattice. Suppose the size of the cellular space is N = m*m where m is the number of rows (columns) and 100 in our model.</p> | ||
| - | <p style="font-size:16px;font-family:arial, sans-serif | + | <p style="font-size:16px;font-family:arial, sans-serif;"><b>Cellular State</b>: Assume that the state variable of the cell is <i>Sij(t)</i>where <i>i</i> and <i>j</i> indicate row <i>i</i> and column <i>j</i> in the cellular space and t is time.<i>S</i>has 3 values of {0, 1, 2} where 0 represents a dog without immunity and 1 represents that a dog is in the process of obtaining immunity and 2 represents a state that a dog has been immunized to the rabies virus.</p> |
<p style="font-size:16px;font-family:arial, sans-serif;"><b>Neighbor</b>: In our model, the dimension of the cellular space is two. Around each cell, there are eight cells as neighbors. So the current states of the present cell and its 8 neighbors determine its state of the next moment.</p> | <p style="font-size:16px;font-family:arial, sans-serif;"><b>Neighbor</b>: In our model, the dimension of the cellular space is two. Around each cell, there are eight cells as neighbors. So the current states of the present cell and its 8 neighbors determine its state of the next moment.</p> | ||
Revision as of 01:29, 26 September 2013
Aim:
To know how the number of immunized dogs changes over time.
Steps:
1.Define the cellular automata;
2.Determine the related parameters of cellular automata;
3.Determine the rules of cellular automata;
4.Analyze the results of the model.
Background:
Cellular automata are discrete dynamical systems that can simulate complex behaviors by animating cells on a lattice based on simple, local rules. There are numerous applications of cellular automata, such as simulating traffic flows, network transmission and digital music. In our project, cellular automata are used for modeling the spread of immunity in stray dogs.
Definition of the cellular automaton
Our cellular automata contains cellular, the state of the cellular, neighborhood and the rules of the cells’ states updated over time.
A=(T,S,PRO,N)where T stands for a cell to maintain its current state, S stands for the state of the cell, PROstands for cells’ ability for spreading immunity, and N is the number of the cells.
Cell: An individual stray dog.
Cellular Space: A collection of cells distributed in a 2-dimentional space. The cellular space is divided into square lattice. Suppose the size of the cellular space is N = m*m where m is the number of rows (columns) and 100 in our model.
Cellular State: Assume that the state variable of the cell is Sij(t)where i and j indicate row i and column j in the cellular space and t is time.Shas 3 values of {0, 1, 2} where 0 represents a dog without immunity and 1 represents that a dog is in the process of obtaining immunity and 2 represents a state that a dog has been immunized to the rabies virus.
Neighbor: In our model, the dimension of the cellular space is two. Around each cell, there are eight cells as neighbors. So the current states of the present cell and its 8 neighbors determine its state of the next moment.
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