id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ijassa-759	Babushkina, Nina A.; Kuzina, Ekaterina A.	Mathematical Modeling of Antitumor Viral Vaccine Therapy: From the Experiment to the Clinic	2020	23	.pdf	application/pdf	9483	470	59	( ( ) ( ) (R V V V V VtN N t S t t t=  − (13) where ( )Vt t − is pulsed Dirac function, describing the instantaneous death of tumor cells in the first stage of the immune response, ( )V VS t denotes the proportion of dying tumor cells infected with the virus at the first stage of the immune response, which is determined from the equation: ( ) ( ) ( ) V V V V V V N t S t N t  = (14) where ( )V VN t denotes the population of infected tumor cells at the start of the immune response, ( )V VN t is the number of dying tumor cells in the first stage of the immune response, which is calculated as the difference between the maximum and minimum number of infected cells in the period from the beginning to the end of the 1st stage of immune response according to the equation: 1 2( ) ( ) ( )V V V VV VN t N t N t = − (15) where 1 Vt and 2 Vt are the moments when the number of infected cells during the 1st stage of the immune response against the virus reaches maximal and minimal level (Fig. 5, dotted line), ( )R VN t is the number of remaining tumor cells that continue to produce tumor growth, which is calculated from the equation: ) ( )( ) (R V V V VN tN t N t −= (16) The delay in the growth of tumor cells as a result of their death under the action of antibodies against infected tumor cells 1 Vt = 5.82 1 Nt = 12.32	cache/ijassa-759.pdf	txt/ijassa-759.txt