TY - GEN
T1 - Influence of the Number of Thresholds on the Dynamics of Models with Switchings of the Biological Systems
AU - Ochab, Magdalena
AU - Puszynski, Krzysztof
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - When the mathematical model of the biological system is developed, especially the one concerning intracellular processes, usually one of two approaches is applied: deterministic model based on ordinary differential equations or stochastic based on Gillespie algorithm. Usually, in both cases only numerical analysis is possible. This inconvenience may be overcome by the models with switchings, especially the one using linear description of the dynamics inside the domains. However, in such case, the question arises concerning the number and location of thresholds for the particular variables. In the presented work we are dealing with this problem, showing how the response of the simple model of the p53 signalling pathway depends on the thresholds used.
AB - When the mathematical model of the biological system is developed, especially the one concerning intracellular processes, usually one of two approaches is applied: deterministic model based on ordinary differential equations or stochastic based on Gillespie algorithm. Usually, in both cases only numerical analysis is possible. This inconvenience may be overcome by the models with switchings, especially the one using linear description of the dynamics inside the domains. However, in such case, the question arises concerning the number and location of thresholds for the particular variables. In the presented work we are dealing with this problem, showing how the response of the simple model of the p53 signalling pathway depends on the thresholds used.
KW - Mathematical models
KW - Switching thresholds
KW - Systems witch switchings
UR - https://www.scopus.com/pages/publications/85088210762
U2 - 10.1007/978-3-030-50936-1_50
DO - 10.1007/978-3-030-50936-1_50
M3 - Conference contribution
AN - SCOPUS:85088210762
SN - 9783030509354
T3 - Advances in Intelligent Systems and Computing
SP - 587
EP - 598
BT - Advanced, Contemporary Control - Proceedings of KKA 2020—The 20th Polish Control Conference, 2020
A2 - Bartoszewicz, Andrzej
A2 - Kabzinski, Jacek
A2 - Kacprzyk, Janusz
PB - Springer
T2 - 20th Polish Control Conference, PCC 2020
Y2 - 22 June 2020 through 24 June 2020
ER -