Distributed delays in a hybrid model of tumor-immune system interplay

DOI10.3934/MBE.2013.10.37zbMath1259.92035OpenAlexW2324725631WikidataQ38457808 ScholiaQ38457808MaRDI QIDQ1942599

Alex Graudenzi, Giulio Caravagna, Alberto d'Onofrio

Publication date: 19 March 2013

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2013.10.37

zbMATH Keywords

delay differential equationsdistributed delayspiecewise deterministic Markov processesstochastic hybrid automata

Mathematics Subject Classification ID

Medical applications (general) (92C50) Special processes (60K99) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Computational methods for problems pertaining to biology (92-08)

Related Items (10)

The impact of distributed time delay in a tumor-immune interaction system ⋮ Dynamic analysis of stochastic virus infection model with delay effect ⋮ Ultimate dynamics of the Kirschner-Panetta model: tumor eradication and related problems ⋮ Stochastic hybrid automata with delayed transitions to model biochemical systems with delays ⋮ Hybrid semantics for Bio-PEPA ⋮ Survival analysis for tumor cells in stochastic switching environment ⋮ Effects of delayed immune-activation in the dynamics of tumor-immune interactions ⋮ Stability and bifurcations of equilibria in a delayed Kirschner-Panetta model ⋮ Bounded immune response in immunotherapy described by the deterministic delay Kirschner-Panetta model ⋮ Effects of delay in a biological environment subject to tumor dynamics

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