6533b821fe1ef96bd127c31c

RESEARCH PRODUCT

Overload breakdown in models for photosynthesis

Dorothea MöhringAlan D. Rendall

subject

Dynamical systems theoryGeneral MathematicsMolecular Networks (q-bio.MN)0206 medical engineeringZero (complex analysis)02 engineering and technologyDynamical Systems (math.DS)Photosynthesis01 natural sciencesComputer Science Applications010101 applied mathematics92C40FOS: Biological sciencesKey (cryptography)FOS: MathematicsQuantitative Biology - Molecular NetworksStatistical physics0101 mathematicsMathematics - Dynamical Systems020602 bioinformaticsMathematics

description

In many models of the Calvin cycle of photosynthesis it is observed that there are solutions where concentrations of key substances belonging to the cycle tend to zero at late times, a phenomenon known as overload breakdown. In this paper we prove theorems about the existence and non-existence of solutions of this type and obtain information on which concentrations tend to zero when overload breakdown occurs. As a starting point we take a model of Pettersson and Ryde-Pettersson which seems to be prone to overload breakdown and a modification of it due to Poolman which was intended to avoid this effect.

yearjournalcountryeditionlanguage
2015-09-05
http://arxiv.org/abs/1509.01697