{"title":"研究肿瘤对放疗和热疗联合治疗的反应。","authors":"Chloé Colson, Philip K Maini, Helen M Byrne","doi":"10.1007/s11538-025-01449-7","DOIUrl":null,"url":null,"abstract":"<p><p>Hyperthermia (HT) is a promising candidate for enhancing the efficacy of radiotherapy (RT), but its use in the clinic has been limited by incomplete understanding of its interactions with RT. In this work, we investigate tumour responses to high temperature HT alone and combined with RT, focussing on how two different mechanisms for growth control may impact tumour sensitivity to these treatments. We extend an existing ordinary differential equation model of tumour growth and RT response to include high HT. In the absence of treatment, this model distinguishes between growth arrest due to nutrient insufficiency and competition for space, and exhibits three growth regimes: nutrient limited (NL), space limited (SL) and bistable (BS), where both mechanisms for growth arrest coexist. We construct three virtual tumour populations corresponding to the NL, SL and BS regimes and, for each population, we identify the treatment (RT, HT or RT + HT) and dosing regimen that maximise the reduction in tumour burden at the treatment end-point. We thus generate experimentally testable predictions that may explain highly variable experimental and clinical responses to RT and HT and assist patient-specific treatment design.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 8","pages":"107"},"PeriodicalIF":2.0000,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12213896/pdf/","citationCount":"0","resultStr":"{\"title\":\"Investigating Tumour Responses to Combinations of Radiotherapy and Hyperthermia.\",\"authors\":\"Chloé Colson, Philip K Maini, Helen M Byrne\",\"doi\":\"10.1007/s11538-025-01449-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Hyperthermia (HT) is a promising candidate for enhancing the efficacy of radiotherapy (RT), but its use in the clinic has been limited by incomplete understanding of its interactions with RT. In this work, we investigate tumour responses to high temperature HT alone and combined with RT, focussing on how two different mechanisms for growth control may impact tumour sensitivity to these treatments. We extend an existing ordinary differential equation model of tumour growth and RT response to include high HT. In the absence of treatment, this model distinguishes between growth arrest due to nutrient insufficiency and competition for space, and exhibits three growth regimes: nutrient limited (NL), space limited (SL) and bistable (BS), where both mechanisms for growth arrest coexist. We construct three virtual tumour populations corresponding to the NL, SL and BS regimes and, for each population, we identify the treatment (RT, HT or RT + HT) and dosing regimen that maximise the reduction in tumour burden at the treatment end-point. We thus generate experimentally testable predictions that may explain highly variable experimental and clinical responses to RT and HT and assist patient-specific treatment design.</p>\",\"PeriodicalId\":9372,\"journal\":{\"name\":\"Bulletin of Mathematical Biology\",\"volume\":\"87 8\",\"pages\":\"107\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2025-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12213896/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Biology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11538-025-01449-7\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Biology","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11538-025-01449-7","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BIOLOGY","Score":null,"Total":0}
Investigating Tumour Responses to Combinations of Radiotherapy and Hyperthermia.
Hyperthermia (HT) is a promising candidate for enhancing the efficacy of radiotherapy (RT), but its use in the clinic has been limited by incomplete understanding of its interactions with RT. In this work, we investigate tumour responses to high temperature HT alone and combined with RT, focussing on how two different mechanisms for growth control may impact tumour sensitivity to these treatments. We extend an existing ordinary differential equation model of tumour growth and RT response to include high HT. In the absence of treatment, this model distinguishes between growth arrest due to nutrient insufficiency and competition for space, and exhibits three growth regimes: nutrient limited (NL), space limited (SL) and bistable (BS), where both mechanisms for growth arrest coexist. We construct three virtual tumour populations corresponding to the NL, SL and BS regimes and, for each population, we identify the treatment (RT, HT or RT + HT) and dosing regimen that maximise the reduction in tumour burden at the treatment end-point. We thus generate experimentally testable predictions that may explain highly variable experimental and clinical responses to RT and HT and assist patient-specific treatment design.
期刊介绍:
The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including:
Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations
Research in mathematical biology education
Reviews
Commentaries
Perspectives, and contributions that discuss issues important to the profession
All contributions are peer-reviewed.