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pro vyhledávání: '"Hellmuth, Kathrin"'
Numerically the reconstructability of unknown parameters in inverse problems heavily relies on the chosen data. Therefore, it is crucial to design an experiment that yields data that is sensitive to the parameters. We approach this problem from the p
Externí odkaz:
http://arxiv.org/abs/2409.15906
Chemotaxis describes the intricate interplay of cellular motion in response to a chemical signal. We here consider the case of slab geometry which models chemotactic motion between two infinite membranes. Like previous works, we are particularly inte
Externí odkaz:
http://arxiv.org/abs/2408.17243
Bacterial motion is steered by external stimuli (chemotaxis), and the motion described on the mesoscopic scale is uniquely determined by a parameter $K$ that models velocity change response from the bacteria. This parameter is called chemotaxis kerne
Externí odkaz:
http://arxiv.org/abs/2309.05004
Publikováno v:
SIAM Journal on Mathematical Analysis, Vol. 56, Iss. 1 (2024)
Chemotaxis is the physical phenomenon that bacteria adjust their motions according to chemical stimulus. A classical model for this phenomenon is a kinetic equation that describes the velocity jump process whose tumbling/transition kernel uniquely de
Externí odkaz:
http://arxiv.org/abs/2206.01629
Publikováno v:
Mathematics 10, no.3: 489 (2022)
In financial mathematics, it is a typical approach to approximate financial markets operating in discrete time by continuous-time models such as the Black Scholes model. Fitting this model gives rise to difficulties due to the discrete nature of mark
Externí odkaz:
http://arxiv.org/abs/2202.07378
Publikováno v:
Computation 9, no. 11: 119 (2021)
Chemotaxis describes the movement of an organism, such as single or multi-cellular organisms and bacteria, in response to a chemical stimulus. Two widely used models to describe the phenomenon are the celebrated Keller-Segel equation and a chemotaxis
Externí odkaz:
http://arxiv.org/abs/2110.13787
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Bacteria have been fascinating biologists since their discovery in the late 17th century. By analysing their movements, mathematical models have been developed as a tool to understand their behaviour. However, adapting these models to real situations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef2b8d4fe49c4d01243dac284196852c