$\mathcal{P}\mathcal{T}$ -symmetric model of immune response

DOI10.1088/1751-8121/50/3/035601zbMath1357.82047arXiv1604.03928OpenAlexW3125365772MaRDI QIDQ2959730

Ananya Ghatak, Carl M. Bender, Mariagiovanna Gianfreda

Publication date: 9 February 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03928

zbMATH Keywords

PT symmetrybroken phaseantibodyantigenunbroken phasePT transition

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Cites Work

• Immune networks modeled by replicator equations
• Behavior of tumors under nonstationary therapy
• Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model
• Predator-prey equations simulating an immune response
• An exactly solvable $\mathcal {PT}$-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss
• Complexified dynamical systems