Regularization and concave loss functions for estimation of chemical kinetic models

2021 ◽  
pp. 108286
Author(s):  
Karol R. Opara ◽  
Pin Pin Oh
1976 ◽  
Vol 65 (1) ◽  
pp. 284-292 ◽  
Author(s):  
David Wallwork ◽  
Alan S. Perelson

eLife ◽  
2013 ◽  
Vol 2 ◽  
Author(s):  
Antonio Scialdone ◽  
Sam T Mugford ◽  
Doreen Feike ◽  
Alastair Skeffington ◽  
Philippa Borrill ◽  
...  

Photosynthetic starch reserves that accumulate in Arabidopsis leaves during the day decrease approximately linearly with time at night to support metabolism and growth. We find that the rate of decrease is adjusted to accommodate variation in the time of onset of darkness and starch content, such that reserves last almost precisely until dawn. Generation of these dynamics therefore requires an arithmetic division computation between the starch content and expected time to dawn. We introduce two novel chemical kinetic models capable of implementing analog arithmetic division. Predictions from the models are successfully tested in plants perturbed by a night-time light period or by mutations in starch degradation pathways. Our experiments indicate which components of the starch degradation apparatus may be important for appropriate arithmetic division. Our results are potentially relevant for any biological system dependent on a food reserve for survival over a predictable time period.


2001 ◽  
Vol 40 (23) ◽  
pp. 5362-5370 ◽  
Author(s):  
W. H. Green ◽  
P. I. Barton ◽  
B. Bhattacharjee ◽  
D. M. Matheu ◽  
D. A. Schwer ◽  
...  

2014 ◽  
Vol 490-491 ◽  
pp. 931-935
Author(s):  
Xiao Yuan Zhang ◽  
Li Zi Qin ◽  
Yu Liu

The chemical non-equilibrium flow of supersonic combustion ramjet (scramjet) nozzle is numerical simulated with different chemical kinetic models to research the effects on numerical results of the nozzle performance. The numerical results show that total temperature is increased due to the recombination of dissociation compositions and the combustion of the residual fuel. The effect of the combustion of the residual fuel is more obvious in this paper, and the effect to the performance of the nozzle is noticeable. The species of the compositions in the models influence the quantity of heat sending out when it get equilibrium, so the 9-species chemical kinetic models are more suitable in the simulation of the scramjet nozzle chemical non-equilibrium flows.


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