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10.1098/rsta.2016.0221 http://scihub22266oqcxt.onion/10.1098/rsta.2016.0221 C5311440!5311440 !28115618     free     free     free Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\28115618 .jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117       Philos+Trans+A+Math+Phys+Eng+Sci 2017 ; 375 (2088 ): ä Nephropedia Template TP {{tp|p=28115618 |t=2017. Tumour chemotherapy strategy based on impulse control theory |pdf=|usr=}}{{28115618 }} gab.com Text Tumour chemotherapy strategy based on impulse control theory JO: Philos Trans A Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=28115618 #FOAvip Chemotherapy is a widely accepted method for tumour treatment. A medical doctor usually treats patients periodically with an amount of drug according to empirical medicine guides. From the point of view of cybernetics, this procedure is an impulse control system, where the amount and frequency of drug used can be determined analytically using the impulse control theory. In this paper, the stability of a chemotherapy treatment of a tumour is analysed applying the impulse control theory. The globally stable condition for prescription of a periodic oscillatory chemotherapeutic agent is derived. The permanence of the solution of the treatment process is verified using the Lyapunov function and the comparison theorem. Finally, we provide the values for the strength and the time interval that the chemotherapeutic agent needs to be applied such that the proposed impulse chemotherapy can eliminate the tumour cells and preserve the immune cells. The results given in the paper provide an analytical formula to guide medical doctors to choose the theoretical minimum amount of drug to treat the cancer and prevent harming the patients because of over-treating.This article is part of the themed issue 'Horizons of cybernetical physics'. Twit Text FOAVip Tumour chemotherapy strategy based on impulse control theory ????Philos Trans A Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=28115618 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=28115618 #FOAvip English Wikipedia <ref>{{Cite pmid|28115618 }}</ref> Tumour chemotherapy strategy based on impulse control theory #MMPMID28115618 Ren HP ; Yang Y ; Baptista MS ; Grebogi C Philos Trans A Math Phys Eng Sci 2017[Mar]; 375 (2088 ): ä PMID28115618 show ga Chemotherapy is a widely accepted method for tumour treatment. A medical doctor usually treats patients periodically with an amount of drug according to empirical medicine guides. From the point of view of cybernetics, this procedure is an impulse control system, where the amount and frequency of drug used can be determined analytically using the impulse control theory. In this paper, the stability of a chemotherapy treatment of a tumour is analysed applying the impulse control theory. The globally stable condition for prescription of a periodic oscillatory chemotherapeutic agent is derived. The permanence of the solution of the treatment process is verified using the Lyapunov function and the comparison theorem. Finally, we provide the values for the strength and the time interval that the chemotherapeutic agent needs to be applied such that the proposed impulse chemotherapy can eliminate the tumour cells and preserve the immune cells. The results given in the paper provide an analytical formula to guide medical doctors to choose the theoretical minimum amount of drug to treat the cancer and prevent harming the patients because of over-treating.This article is part of the themed issue 'Horizons of cybernetical physics'. |*Models, Biological [MESH] |Cell Proliferation/drug effects [MESH]Tumour chemotherapy strategy based on impulse control theory (epmc).pdf DeepDyve Pubget Overpricing