DNA splicing systems: an ordinary differential equations model and simulation

  • Authors:
  • Elizabeth Goode;William DeLorbe

  • Affiliations:
  • Mathematics Department, Towson University, Towson, MD;Mathematics Department, Towson University, Towson, MD

  • Venue:
  • DNA13'07 Proceedings of the 13th international conference on DNA computing
  • Year:
  • 2007

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Abstract

DNA splicing in the test tube may generate DNA molecules other than well-formed ones having two blunt ends. We introduce an example splicing system that generates all possible molecular types.We use differential equations to model the system, and Mathematica to simulate its dynamics. We find that most simulation results match our predictions, and acknowledge that a more comprehensive program is needed for further investigations. This is the first model and simulation of which we are aware that specifically treats the fact that several molecular types in addition to well-formed molecules may be present in a splicing system, even at equilibrium.