Mathematical modelling of oscillatory behaviour during methane oxidation over Ni catalysts

M.M. Slinko; V.N. Korchak; N.V. Peskov

doi:10.1016/j.apcata.2006.02.010

Mathematical modelling of oscillatory behaviour during methane oxidation over Ni catalysts

Applied Catalysis A General ◽

10.1016/j.apcata.2006.02.010 ◽

2006 ◽

Vol 303 (2) ◽

pp. 258-267 ◽

Cited By ~ 29

Author(s):

M.M. Slinko ◽

V.N. Korchak ◽

N.V. Peskov

Keyword(s):

Mathematical Modelling ◽

Methane Oxidation ◽

Oscillatory Behaviour ◽

Ni Catalysts

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Mathematical modelling of oscillatory behaviour during methane oxidation over palladium catalysts

Chemical Engineering Science ◽

10.1016/j.ces.2012.09.009 ◽

2012 ◽

Vol 84 ◽

pp. 684-694 ◽

Cited By ~ 10

Author(s):

N.V. Peskov ◽

M.M. Slinko ◽

V.Yu. Bychkov ◽

V.N. Korchak

Keyword(s):

Mathematical Modelling ◽

Methane Oxidation ◽

Palladium Catalysts ◽

Oscillatory Behaviour

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Rapid transporter regulation prevents substrate flow traffic jams in boron transport

eLife ◽

10.7554/elife.27038 ◽

2017 ◽

Vol 6 ◽

Cited By ~ 8

Author(s):

Naoyuki Sotta ◽

Susan Duncan ◽

Mayuki Tanaka ◽

Takafumi Sato ◽

Athanasius FM Marée ◽

...

Keyword(s):

Arabidopsis Thaliana ◽

Plant Growth ◽

Mathematical Modelling ◽

Oscillatory Behaviour ◽

Boron Uptake ◽

Traffic Jam ◽

Traffic Jams ◽

Regulatory Circuit ◽

High Concentrations ◽

Directional Transport

Nutrient uptake by roots often involves substrate-dependent regulated nutrient transporters. For robust uptake, the system requires a regulatory circuit within cells and a collective, coordinated behaviour across the tissue. A paradigm for such systems is boron uptake, known for its directional transport and homeostasis, as boron is essential for plant growth but toxic at high concentrations. In Arabidopsis thaliana, boron uptake occurs via diffusion facilitators (NIPs) and exporters (BORs), each presenting distinct polarity. Intriguingly, although boron soil concentrations are homogenous and stable, both transporters manifest strikingly swift boron-dependent regulation. Through mathematical modelling, we demonstrate that slower regulation of these transporters leads to physiologically detrimental oscillatory behaviour. Cells become periodically exposed to potentially cytotoxic boron levels, and nutrient throughput to the xylem becomes hampered. We conclude that, while maintaining homeostasis, swift transporter regulation within a polarised tissue context is critical to prevent intrinsic traffic-jam like behaviour of nutrient flow.

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ATG13 dynamics in non-selective autophagy and mitophagy: insights from live imaging studies and mathematical modelling

10.1101/370114 ◽

2018 ◽

Author(s):

Piero Dalle Pezze ◽

Eleftherios Karanasios ◽

Varvara Kandia ◽

Maria Manifava ◽

Simon A. Walker ◽

...

Keyword(s):

Experimental Data ◽

Mathematical Model ◽

Mathematical Modelling ◽

Normal Distribution ◽

Live Imaging ◽

Oscillatory Behaviour ◽

Imaging Studies ◽

Selective Autophagy ◽

Log Normal ◽

Log Normal Distribution

AbstractDuring autophagy, the ULK complex nucleates autophagic precursors which give rise to autophagosomes. We analysed by live imaging and mathematical modelling translocation of ATG13 (part of ULK complex) to autophagic puncta in starvation-induced autophagy and ivermectin-induced mitophagy. In non-selective autophagy, the intensity and duration of ATG13 translocation approximated a normal distribution whereas wortmannin reduced this and shifted to a log-normal distribution. During mitophagy, multiple translocations of ATG13, with increasing time between peaks were observed. We hypothesised that these multiple translocations arise because engulfment of mitochondrial fragments requires successive nucleations of multiple phagophores on the same target, and a mathematical model based on this idea reproduced the oscillatory behaviour. Significantly, model and experimental data were also in agreement that the number of ATG13 translocations is directly proportional to the diameter of the targeted mitochondrial fragments. Our data provide novel insights into the early dynamics of selective and non-selective autophagy.

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