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Morphogenesis through moving membranes

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Abstract

We present a methodology for the modelling of spatially-aware biological phenomena, based on the description of the movement of membranes in the Euclidean space. The time evolution of the system is described by an iterative algorithm, which determines the movement of the objects according to the actions they perform, and the constraints they are subjected to. We exemplify our approach with a model of the morphogenesis of Dictyostelium discoideum, and present the results of its simulation.

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Notes

  1. Term \(\| p_j[t]-p_i[t] \|\) corresponds to the Euclidean distance between \( p_{j}{[t]}\) and \( p_{i}{[t]}\).

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Authors and Affiliations

  1. Dipartimento di Informatica, Università degli Studi di Verona, Strada le Grazie 15, 37134, Verona, Italy

    Vincenzo Manca

  2. Dipartimento di Informatica, Università di Pisa, Largo B. Pontecorvo 3, 56127, Pisa, Italy

    Giovanni Pardini

Authors
  1. Vincenzo Manca
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  2. Giovanni Pardini
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Corresponding author

Correspondence to Giovanni Pardini.

Additional information

This work started when G. Pardini was employed at Dipartimento di Informatica, Università degli Studi di Verona, Italy.

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Manca, V., Pardini, G. Morphogenesis through moving membranes. Nat Comput 13, 403–419 (2014). https://doi.org/10.1007/s11047-013-9407-4

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