Publicación:
DYNAMICS AND BIFURCATIONS IN A MODEL OF CHRONIC MYELOID LEUKEMIA WITH OPTIMAL IMMUNE RESPONSE WINDOWS

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dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2024
dc.date.accessioned2025-01-10T15:51:44Z
dc.date.available2025-01-10T15:51:44Z
dc.date.issued2024
dc.description.abstractCHRONIC MYELOID LEUKEMIA IS A BLOOD CANCER FOR WHICH STANDARD THERAPY WITH TYROSINE-KINASE INHIBITORS IS SUCCESSFUL IN THE MAJORITY OF PATIENTS. AFTER DISCONTINUATION OF TREATMENT HALF OF THE WELL-RESPONDING PATIENTS EITHER PRESENT UNDETECTABLE LEVELS OF TUMOR CELLS FOR A LONG TIME OR EXHIBIT SUSTAINED FLUCTUATIONS OF TUMOR LOAD OSCILLATING AT VERY LOW LEVELS. MOTIVATED BY THE CONSEQUENT QUESTION OF WHETHER THE OBSERVED KINETICS REFLECT PERIODIC OSCILLATIONS EMERGING FROM TUMOR-IMMUNE INTERACTIONS, IN THIS WORK, WE ANALYZE A SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS DESCRIBING THE IMMUNE RESPONSE TO CML WHERE BOTH THE FUNCTIONAL RESPONSE AGAINST LEUKEMIA AND THE IMMUNE RECRUITMENT EXHIBIT OPTIMAL ACTIVATION WINDOWS. BESIDES INVESTIGATING THE STABILITY OF THE EQUILIBRIUM POINTS, WE PROVIDE RIGOROUS PROOFS THAT THE MODEL EXHIBITS AT LEAST TWO TYPES OF BIFURCATIONS: A TRANSCRITICAL BIFURCATION AROUND THE TUMOR-FREE EQUILIBRIUM POINT AND A HOPF BIFURCATION AROUND A BIOLOGICALLY PLAUSIBLE EQUILIBRIUM POINT, PROVIDING AN AFFIRMATIVE ANSWER TO OUR INITIAL QUESTION. FOCUSING OUR ATTENTION ON THE HOPF BIFURCATION, WE EXAMINE THE EMERGENCE OF LIMIT CYCLES AND ANALYZE THEIR STABILITY THROUGH THE CALCULATION OF LYAPUNOV COEFFICIENTS. THEN WE ILLUSTRATE OUR THEORETICAL RESULTS WITH NUMERICAL SIMULATIONS BASED ON CLINICALLY RELEVANT PARAMETERS. BESIDES THE MATHEMATICAL INTEREST, OUR RESULTS SUGGEST THAT THE FLUCTUATING LEVELS OF LOW TUMOR LOAD OBSERVED IN CML PATIENTS MAY BE A CONSEQUENCE OF PERIODIC ORBITS ARISING FROM PREDATOR?PREY-LIKE INTERACTIONS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s00285-024-02135-3
dc.identifier.issn1432-1416
dc.identifier.issn0303-6812
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13998
dc.languagespa
dc.publisherJOURNAL OF MATHEMATICAL BIOLOGY
dc.relation.uri10.1007/s00285-024-02135-3
dc.rightsPUBLICADA
dc.subjectTumor-immune interactions
dc.subjectNonlinear dynamics
dc.subjectMathematical modeling
dc.subjectHopf-bifurcation
dc.titleDYNAMICS AND BIFURCATIONS IN A MODEL OF CHRONIC MYELOID LEUKEMIA WITH OPTIMAL IMMUNE RESPONSE WINDOWS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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