Geodesic
The unicellular microorganisms ``Amoeba Proteus'' locomotion simulation with the use of movable cellular automata method
Prikladnaâ diskretnaâ matematika, no. 4 (2018), pp. 104-119

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In this work, the method of movable cellular automata is applied to the modeling of amoeba-like locomotion. A significant advantage of this method is the possibility of transition from a static grid to the concept of neighbors. A unicellular biological organism “Amoeba Proteus” was chosen as an object. The basic principles of locomotion, namely the movement of the amoeba on the basis of cytoskeletal transformations inside the cell, are considered. This approach most accurately describes the process of locomotion in the living cell. The rules of cellular automata interactions were found for the constructed model according to the concept of neighbors. As a result, a computer model imitating amoeboid locomotion was obtained.
Keywords: movable cellular automata, amoeba-like movement, computer simulation, neighborhood principle. 
@article{PDM_2018_4_a8,
     author = {Y. P. Hazdiuk and V. V. Zhikharevich and O. M. Nikitina and S. E. Ostapov},
     title = {The  unicellular microorganisms {``Amoeba} {Proteus''} locomotion simulation with the use of movable cellular automata method},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {104--119},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2018_4_a8/}
}
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Y. P. Hazdiuk; V. V. Zhikharevich; O. M. Nikitina; S. E. Ostapov. The  unicellular microorganisms ``Amoeba Proteus'' locomotion simulation with the use of movable cellular automata method. Prikladnaâ diskretnaâ matematika, no. 4 (2018), pp. 104-119. http://geodesic.mathdoc.fr/item/PDM_2018_4_a8/