{"title":"The nature of mathematics","authors":"A. Hughes","doi":"10.4324/9781315283210-4","DOIUrl":"https://doi.org/10.4324/9781315283210-4","url":null,"abstract":"","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123710627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Why programming is not among the useful arts","authors":"A. Hughes","doi":"10.4324/9781315283210-6","DOIUrl":"https://doi.org/10.4324/9781315283210-6","url":null,"abstract":"","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121237740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Comparing both, the more conventional Gompertz tumor growth law (GL) and the “Universal” law (UL), recently proposed and applied to cancer, we have investigated the growth law’s implications on various radiotherapy regimen. According to GL, the surviving tumor cell fraction could be reduced ’ad libidum’, independently of the initial tumor mass, simply by increasing the number of treatments. On the contrary, if tumor growth dynamics would indeed follow the Universal scaling law, there is a lower limit of the survival fraction that cannot be reduced any further regardless of the total number of treatments. This finding can explain the so called “tumor size effect” and re-emphasizes the importance of early diagnosis as it implies that radiotherapy may be successful provided the tumor mass at treatment onset is rather small. Taken together with our previous works, implications of these findings include revisiting standard radiotherapy regimen and overall treatment protocols.
{"title":"Implications","authors":"A. Hughes","doi":"10.4324/9781315283210-7","DOIUrl":"https://doi.org/10.4324/9781315283210-7","url":null,"abstract":"Comparing both, the more conventional Gompertz tumor growth law (GL) and the “Universal” law (UL), recently proposed and applied to cancer, we have investigated the growth law’s implications on various radiotherapy regimen. According to GL, the surviving tumor cell fraction could be reduced ’ad libidum’, independently of the initial tumor mass, simply by increasing the number of treatments. On the contrary, if tumor growth dynamics would indeed follow the Universal scaling law, there is a lower limit of the survival fraction that cannot be reduced any further regardless of the total number of treatments. This finding can explain the so called “tumor size effect” and re-emphasizes the importance of early diagnosis as it implies that radiotherapy may be successful provided the tumor mass at treatment onset is rather small. Taken together with our previous works, implications of these findings include revisiting standard radiotherapy regimen and overall treatment protocols.","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130684155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Why mathematics is not patentable","authors":"A. Hughes","doi":"10.4324/9781315283210-5","DOIUrl":"https://doi.org/10.4324/9781315283210-5","url":null,"abstract":"","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116789507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Why software patents are a problem","authors":"A. Hughes","doi":"10.4324/9781315283210-3","DOIUrl":"https://doi.org/10.4324/9781315283210-3","url":null,"abstract":"","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"33 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113954133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The nature of software","authors":"A. Hughes","doi":"10.4324/9781315283210-2","DOIUrl":"https://doi.org/10.4324/9781315283210-2","url":null,"abstract":"","PeriodicalId":325393,"journal":{"name":"The Patentability of Software","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123389893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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