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...
मुख्य लेखकों: | , , |
---|---|
स्वरूप: | Journal article |
भाषा: | English |
प्रकाशित: |
2004
|
_version_ | 1826287846988709888 |
---|---|
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. |
first_indexed | 2024-03-07T02:04:47Z |
format | Journal article |
id | oxford-uuid:9e9b18ef-db7c-4789-a60d-bd1a1b993153 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:04:47Z |
publishDate | 2004 |
record_format | dspace |
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 |