TY - JOUR A1 - Ebenhoeh, Oliver A1 - Houwaart, Torsten A1 - Lokstein, Heiko A1 - Schlede, Stephanie A1 - Tirok, Katrin T1 - A minimal mathematical model of nonphotochemical quenching of chlorophyll fluorescence JF - Biosystems : journal of biological and information processing sciences N2 - Under natural conditions, plants are exposed to rapidly changing light intensities. To acclimate to such fluctuations, plants have evolved adaptive mechanisms that optimally exploit available light energy and simultaneously minimise damage of the photosynthetic apparatus through excess light. An important mechanism is the dissipation of excess excitation energy as heat which can be measured as nonphotochemical quenching of chlorophyll fluorescence (NPQ). In this paper, we present a highly simplified mathematical model that captures essential experimentally observed features of the short term adaptive quenching dynamics. We investigate the stationary and dynamic behaviour of the model and systematically analyse the dependence of characteristic system properties on key parameters such as rate constants and pool sizes. Comparing simulations with experimental data allows to derive conclusions about the validity of the simplifying assumptions and we further propose hypotheses regarding the role of the xanthophyll cycle in NPQ. We envisage that the presented theoretical description of the light reactions in conjunction with short term adaptive processes serves as a basis for the development of more detailed mechanistic models by which the molecular mechanisms of NPQ can be theoretically studied. KW - Photosynthesis KW - Light reactions KW - Nonphotochemical quenching of chlorophyll fluorescence KW - Chlorophyll fluorescence KW - Mathematical model Y1 - 2011 U6 - https://doi.org/10.1016/j.biosystems.2010.10.011 SN - 0303-2647 VL - 103 IS - 2 SP - 196 EP - 204 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Tirok, Katrin A1 - Bauer, Barbara A1 - Wirtz, Kai A1 - Gaedke, Ursula T1 - Predator-Prey Dynamics Driven by Feedback between Functionally Diverse Trophic Levels JF - PLoS one N2 - Neglecting the naturally existing functional diversity of communities and the resulting potential to respond to altered conditions may strongly reduce the realism and predictive power of ecological models. We therefore propose and study a predator-prey model that describes mutual feedback via species shifts in both predator and prey, using a dynamic trait approach. Species compositions of the two trophic levels were described by mean functional traits-prey edibility and predator food-selectivity- and functional diversities by the variances. Altered edibility triggered shifts in food-selectivity so that consumers continuously respond to the present prey composition, and vice versa. This trait-mediated feedback mechanism resulted in a complex dynamic behavior with ongoing oscillations in the mean trait values, reflecting continuous reorganization of the trophic levels. The feedback was only possible if sufficient functional diversity was present in both trophic levels. Functional diversity was internally maintained on the prey level as no niche existed in our system, which was ideal under any composition of the predator level due to the trade-offs between edibility, growth and carrying capacity. The predators were only subject to one trade-off between food-selectivity and grazing ability and in the absence of immigration, one predator type became abundant, i.e., functional diversity declined to zero. In the lack of functional diversity the system showed the same dynamics as conventional models of predator-prey interactions ignoring the potential for shifts in species composition. This way, our study identified the crucial role of trade-offs and their shape in physiological and ecological traits for preserving diversity. Y1 - 2011 U6 - https://doi.org/10.1371/journal.pone.0027357 SN - 1932-6203 VL - 6 IS - 11 PB - PLoS CY - San Fransisco ER -