Maintenance of Chronobiological Information by P System Mediated Assembly of Control Units for Oscillatory Waveforms and Frequency

Oscillatory signals turn out to be reliable carriers for efficient processing and propagation of information in both spheres, life sciences and engineering. Each living organism typically comprises a variety of inherent biological rhythms whose periodicities cover a widespread range of scales like split seconds, minutes, or hours, and sometimes even months or years. Due to different molecular principles of generation, those rhythms seem to persist independently from each other. Their combination and assembly in conjunction with recurrent environmental changes can lead to astonishing capabilities and evolutionary advantages. Motivated by the question on how populations of cicadas, an insect species living in the soil, sustain a synchronous life cycle of 17 years away from any known external stimulus of this duration, we aim at exploring potential underlying mechanisms by P system mediated assembly of a set of chemical control units. To this end, we identify a collection of core oscillators responsible for sinusoidal, spiking, and plated waveforms along with pass filters, switches, and modulators. Considering these units as genotypic elementary components, we utilise P system control for selection and (re-)assembly of units towards complex phenotypic systems. Two simulation case studies demonstrate the potential of this approach following the idea of artificial evolution. Our first study inspired by the cicadas converts a chemical frequency divider model 1:17 into counterparts of 1:3, 1:5, and 1:6 just by exchange of single units. In the second study adopted from the mammalian circadian clock system residing within the suprachiasmatic nucleus, we illustrate the stabilisation of the overall clock signal by addition of auxiliary core oscillators.

[1]  Wulfram Gerstner,et al.  Spiking Neuron Models: An Introduction , 2002 .

[2]  Charles Lester Marlatt The Periodical Cicada , 2008 .

[3]  Wulfram Gerstner,et al.  SPIKING NEURON MODELS Single Neurons , Populations , Plasticity , 2002 .

[4]  A. Cagnacci Melatonin in relation to physiology in adult humans , 1996, Journal of pineal research.

[5]  Vincenzo Manca,et al.  Discrete solutions to differential equations by metabolic P systems , 2007, Theor. Comput. Sci..

[6]  J. Mitchison,et al.  The biology of the cell cycle , 1971 .

[7]  B. Goodwin Oscillatory behavior in enzymatic control processes. , 1965, Advances in enzyme regulation.

[8]  Thomas Hinze,et al.  Modelling Signalling Networks with Incomplete Information about Protein Activation States: A P System Framework of the KaiABC Oscillator , 2009, Workshop on Membrane Computing.

[9]  Thomas Hinze,et al.  Chemical Analog Computers for Clock Frequency Control Based on P Modules , 2011, Int. Conf. on Membrane Computing.

[10]  R. Klevecz,et al.  Quantized generation time in mammalian cells as an expression of the cellular clock. , 1976, Proceedings of the National Academy of Sciences of the United States of America.

[11]  Thomas Hinze,et al.  A Protein Substructure Based P System for Description and Analysis of Cell Signalling Networks , 2006, Workshop on Membrane Computing.

[12]  B. Bequette,et al.  Process Control: Modeling, Design and Simulation , 2003 .

[13]  Achim Kramer,et al.  Synchronization-Induced Rhythmicity of Circadian Oscillators in the Suprachiasmatic Nucleus , 2007, PLoS Comput. Biol..

[14]  Hans G. Schlegel,et al.  Biology of the prokaryotes , 1999 .

[15]  Bruce M. Carlson,et al.  Principles of Regenerative Biology , 2007 .

[16]  Arun V. Holden,et al.  Computational biology of the heart , 1998, The Mathematical Gazette.

[17]  R. Reiter,et al.  The melatonin rhythm: both a clock and a calendar , 1993, Experientia.

[18]  Vincenzo Manca Metabolic P systems for biochemical dynamics , 2007 .

[19]  Natalio Krasnogor,et al.  The Infobiotics Workbench: an integrated in silico modelling platform for Systems and Synthetic Biology , 2011, Bioinform..

[20]  Kathy S. Williams,et al.  The Ecology, Behavior, and Evolution of Periodical Cicadas , 1995 .

[21]  M. Elowitz,et al.  A synthetic oscillatory network of transcriptional regulators , 2000, Nature.

[22]  Vincenzo Manca,et al.  P systems with reaction maps , 2006, Int. J. Found. Comput. Sci..

[23]  THOMAS HINZE,et al.  Register Machine Computations on Binary Numbers by oscillating and Catalytic Chemical reactions Modelled Using Mass-Action kinetics , 2009, Int. J. Found. Comput. Sci..

[24]  Marian Gheorghe,et al.  Modular Assembly of Cell Systems Biology Models Using P Systems , 2009, Int. J. Found. Comput. Sci..

[25]  A. L. Koch,et al.  Protein degradation in Escherichia coli. I. Measurement of rapidly and slowly decaying components. , 1970, The Journal of biological chemistry.

[26]  John J. Tyson,et al.  Temporal Organization of the Cell Cycle , 2008, Current Biology.

[27]  A. M. Zhabotinskii [PERIODIC COURSE OF THE OXIDATION OF MALONIC ACID IN A SOLUTION (STUDIES ON THE KINETICS OF BEOLUSOV'S REACTION)]. , 1964, Biofizika.