Macrophage-tumour interactions: In vivo dynamics

Experimentalists are developing new therapies that exploit the tendency of macrophages, a type of white blood cell, to localise within solid tumours. The therapy studied here involves engineering macrophages to produce chemicals that kill tumour cells. Accordingly, a simple mathematical model is dev...

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मुख्य लेखकों: Byrne, H, Cox, S, Kelly, C
स्वरूप: Journal article
भाषा:English
प्रकाशित: 2004
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author Byrne, H
Cox, S
Kelly, C
author_facet Byrne, H
Cox, S
Kelly, C
author_sort Byrne, H
collection OXFORD
description Experimentalists are developing new therapies that exploit the tendency of macrophages, a type of white blood cell, to localise within solid tumours. The therapy studied here involves engineering macrophages to produce chemicals that kill tumour cells. Accordingly, a simple mathematical model is developed that describes interactions between normal cells, tumour cells and infiltrating macrophages. Numerical and analytical techniques show how the ability of the engineered macrophages to eliminate the tumour changes as model parameters vary. The key parameters are m*, the concentration of engineered macrophages injected into the vasculature, and k1, the rate at which they lyse tumour cells. As k1 or m* increases, the average tumour burden decreases although the tumour is never completely eliminated by the macrophages. Also, the stable solutions are oscillatory when k1 and m* increase through well-defined bifurcation values. The physical implications of our results and directions for future research are also discussed.
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spelling oxford-uuid:9e9b18ef-db7c-4789-a60d-bd1a1b9931532022-03-27T00:51:17ZMacrophage-tumour interactions: In vivo dynamicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9e9b18ef-db7c-4789-a60d-bd1a1b993153EnglishSymplectic Elements at Oxford2004Byrne, HCox, SKelly, CExperimentalists are developing new therapies that exploit the tendency of macrophages, a type of white blood cell, to localise within solid tumours. The therapy studied here involves engineering macrophages to produce chemicals that kill tumour cells. Accordingly, a simple mathematical model is developed that describes interactions between normal cells, tumour cells and infiltrating macrophages. Numerical and analytical techniques show how the ability of the engineered macrophages to eliminate the tumour changes as model parameters vary. The key parameters are m*, the concentration of engineered macrophages injected into the vasculature, and k1, the rate at which they lyse tumour cells. As k1 or m* increases, the average tumour burden decreases although the tumour is never completely eliminated by the macrophages. Also, the stable solutions are oscillatory when k1 and m* increase through well-defined bifurcation values. The physical implications of our results and directions for future research are also discussed.
spellingShingle Byrne, H
Cox, S
Kelly, C
Macrophage-tumour interactions: In vivo dynamics
title Macrophage-tumour interactions: In vivo dynamics
title_full Macrophage-tumour interactions: In vivo dynamics
title_fullStr Macrophage-tumour interactions: In vivo dynamics
title_full_unstemmed Macrophage-tumour interactions: In vivo dynamics
title_short Macrophage-tumour interactions: In vivo dynamics
title_sort macrophage tumour interactions in vivo dynamics
work_keys_str_mv AT byrneh macrophagetumourinteractionsinvivodynamics
AT coxs macrophagetumourinteractionsinvivodynamics
AT kellyc macrophagetumourinteractionsinvivodynamics