{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T05:07:33Z","timestamp":1781154453005,"version":"3.54.1"},"reference-count":59,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T00:00:00Z","timestamp":1669680000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T00:00:00Z","timestamp":1669680000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Netw Model Anal Health Inform Bioinforma"],"DOI":"10.1007\/s13721-022-00399-7","type":"journal-article","created":{"date-parts":[[2022,11,29]],"date-time":"2022-11-29T07:53:41Z","timestamp":1669708421000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Mathematical model of the tumor cells\u2019 population growth"],"prefix":"10.1007","volume":"12","author":[{"given":"Nishant","family":"Namdev","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Himanshu","family":"Jain","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8684-724X","authenticated-orcid":false,"given":"Arvind Kumar","family":"Sinha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,11,29]]},"reference":[{"key":"399_CR1","unstructured":"American Tumors Society (2013) How is tumors diagnosed? https:\/\/www.cancer.org\/research\/cancer-facts-statistics\/all-cancer-facts-figures\/cancer-facts-figures-2013.html"},{"key":"399_CR2","unstructured":"American Tumors Society (2018) Heredity and tumors https:\/\/www.cancer.org\/cancer\/cancer-causes\/genetics\/family-cancer-syndromes.html. Accessed 14 Sept 2022"},{"key":"399_CR3","doi-asserted-by":"publisher","first-page":"2097","DOI":"10.1007\/s11095-008-9661-9","volume":"25","author":"P Anand","year":"2008","unstructured":"Anand P, Kunnumakkara AB, Kunnumakara AB, Sundaram C, Harikumar KB, Tharakan ST, Lai OS, Sung B, Aggarwal BB (2008) Tumors is a preventable disease that requires major lifestyle changes. Pharm Res 25:2097\u20132116. https:\/\/doi.org\/10.1007\/s11095-008-9661-9","journal-title":"Pharm Res"},{"key":"399_CR4","doi-asserted-by":"publisher","first-page":"2089","DOI":"10.1016\/j.compbiomed.2013.09.026","volume":"43","author":"Y Batmani","year":"2013","unstructured":"Batmani Y, Khaloozadeh H (2013) Optimal drug regimens in cancer chemotherapy: a multi-objective approach. Comput Biol Med 43:2089\u20132095. https:\/\/doi.org\/10.1016\/j.compbiomed.2013.09.026","journal-title":"Comput Biol Med"},{"key":"399_CR5","doi-asserted-by":"publisher","first-page":"462","DOI":"10.3109\/0284186X.2013.858824","volume":"53","author":"NP Brodin","year":"2014","unstructured":"Brodin NP, Vogelius IR, Eriksson TB, AfRosenschold PM, Maraldo MV, Aznar MC, Specht L, Bentzen SM (2014) Optimizing the radiation therapy dose prescription for pediatric medulloblastoma: Minimizing the life years lost attributable to failure to control the disease and late complication risk. Acta Oncol 53:462\u2013470. https:\/\/doi.org\/10.3109\/0284186X.2013.858824","journal-title":"Acta Oncol"},{"key":"399_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-29638-8","volume-title":"Introduction to the mathematical biology","author":"CS Chou","year":"2016","unstructured":"Chou CS, Friedman A (2016) Introduction to the mathematical biology. Springer, New York. https:\/\/doi.org\/10.1007\/978-3-319-29638-8"},{"key":"399_CR7","unstructured":"Cooper GM (2000) The cell: a molecular approach. 2nd edition. Sunderland (MA): Sinauer Associates.\u00a0Available from: https:\/\/www.ncbi.nlm.nih.gov\/books\/NBK9839\/. Accessed 8 Apr 2017"},{"key":"399_CR8","doi-asserted-by":"publisher","first-page":"3753","DOI":"10.3182\/20110828-6-IT-1002.02107","volume":"44","author":"AD D\u00e1niel","year":"2011","unstructured":"D\u00e1niel AD, Levente K, Johanna S, Zolt\u00e1n B (2011) Model-based analysis and synthesis of tumor growth under angiogenic inhibition: a case study. IFAC Proc Vol 44:3753\u20133758. https:\/\/doi.org\/10.3182\/20110828-6-IT-1002.02107","journal-title":"IFAC Proc Vol"},{"key":"399_CR9","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1016\/j.jtbi.2005.06.037","volume":"238","author":"LG De Pillis","year":"2006","unstructured":"De Pillis LG, Gu W, Radunskaya AE (2006) Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations. J Theor Biol 238:841\u2013862. https:\/\/doi.org\/10.1016\/j.jtbi.2005.06.037","journal-title":"J Theor Biol"},{"key":"399_CR10","doi-asserted-by":"publisher","first-page":"482","DOI":"10.1016\/j.apm.2019.10.010","volume":"78","author":"Y Deng","year":"2020","unstructured":"Deng Y, Liu M (2020) Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations. Appl Math Model 78:482\u2013504. https:\/\/doi.org\/10.1016\/j.apm.2019.10.010","journal-title":"Appl Math Model"},{"key":"399_CR11","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1093\/jnci\/40.2.389","volume":"40","author":"LA Dethlefsen","year":"1968","unstructured":"Dethlefsen LA, Prewitt JMS, Mendelsohn ML (1968) Analysis of tumors growth curves. J Natl Cancer Inst 40:389\u2013405. https:\/\/doi.org\/10.1093\/jnci\/40.2.389","journal-title":"J Natl Cancer Inst"},{"key":"399_CR12","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1590\/S0103-90161998000500008","volume":"55","author":"D Dourado-Neto","year":"1998","unstructured":"Dourado-Neto D, Teruel D, Reichardt K, Nielsen D, Frizzone J, Bacchi O (1998) Principles of crop modeling and simulation: I. uses of mathematical models in agricultural science. Sci Agricola 55:46\u201350. https:\/\/doi.org\/10.1590\/S0103-90161998000500008","journal-title":"Sci Agricola"},{"key":"399_CR13","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/j.bbapap.2013.09.019","volume":"1844","author":"J Elias","year":"2014","unstructured":"Elias J, Dimitrio L, Clairambault J, Natalini R (2014) The p53 protein and its molecular network: modelling a missing link between dna damage and cell fate. Biochim Biophys Acta 1844:232\u2013247. https:\/\/doi.org\/10.1016\/j.bbapap.2013.09.019","journal-title":"Biochim Biophys Acta"},{"key":"399_CR14","doi-asserted-by":"publisher","first-page":"4934","DOI":"10.2174\/1381612819666131125150434","volume":"20","author":"H Enderling","year":"2014","unstructured":"Enderling H, Chaplain AJM (2014) Mathematical modeling of tumors growth and treatment. Curr Pharm Des 20:4934\u20134940. https:\/\/doi.org\/10.2174\/1381612819666131125150434","journal-title":"Curr Pharm Des"},{"key":"399_CR15","unstructured":"Evain S, Benzekry S. (2016) Mathematical modeling of tumor and metastatic growth when treated with sunitinib. [Research Report] Inria Bordeaux Sud-Ouest. ffhal-01377994ff. https:\/\/hal.archives-ouvertes.fr\/hal-01377994. Accessed 9 Jan 2017"},{"key":"399_CR16","doi-asserted-by":"publisher","DOI":"10.1002\/14651858","author":"PC Gotzsche","year":"2013","unstructured":"Gotzsche PC, Jorgensen KJ (2013) Screening for breast tumors with mammography. Cochrane Database Syst Rev. https:\/\/doi.org\/10.1002\/14651858","journal-title":"Cochrane Database Syst Rev"},{"key":"399_CR17","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.tpb.2021.09.004","volume":"142","author":"EB Gunnarsson","year":"2021","unstructured":"Gunnarsson EB, Leder K, Foo J (2021) Exact site frequency spectra of neutrally evolving tumors: a transition between power laws reveals a signature of cell viability. Theor Popul Biol 142:67\u201390. https:\/\/doi.org\/10.1016\/j.tpb.2021.09.004","journal-title":"Theor Popul Biol"},{"key":"399_CR18","first-page":"4770","volume":"59","author":"P Hahnfeldt","year":"1999","unstructured":"Hahnfeldt P, Panigrahy D, Folkman J, Hlatky L (1999) Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. Cancer Res 59:4770\u20134775","journal-title":"Cancer Res"},{"key":"399_CR19","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1158\/0008-5472.CAN-14-0721","volume":"74","author":"N Hartung","year":"2014","unstructured":"Hartung N, Mollard S, Barbolosi D, Benabdallah A, Chapuisat G, Henry G, Giacometti S, Iliadis A, Ciccolini J, Faivre C, Hubert F (2014a) Mathematical modeling of tumor growth and metastatic spreading: validation in tumor-bearing mice. Can Res 74:1\u201311. https:\/\/doi.org\/10.1158\/0008-5472.CAN-14-0721","journal-title":"Can Res"},{"key":"399_CR20","doi-asserted-by":"publisher","first-page":"6397","DOI":"10.1158\/0008-5472.CAN-14-0721","volume":"74","author":"N Hartung","year":"2014","unstructured":"Hartung N, Mollard S, Barbolosi D, Benabdallah A, Chapuisat G, Henry G, Giacometti S, Iliadis A, Ciccolini A, Faivre C, Hubert F (2014b) Mathematical modeling of tumor growth and metastatic spreading: validation in tumor-bearing mice. Can Res 74:6397\u20136407. https:\/\/doi.org\/10.1158\/0008-5472.CAN-14-0721","journal-title":"Can Res"},{"key":"399_CR21","doi-asserted-by":"publisher","first-page":"2363","DOI":"10.1002\/sim.6104","volume":"33","author":"X Huang","year":"2014","unstructured":"Huang X, Ning J, Wahed AS (2014) Optimization of individualized dynamic treatment regimes for recurrent diseases. Stat Med 33:2363\u20132378. https:\/\/doi.org\/10.1002\/sim.6104","journal-title":"Stat Med"},{"key":"399_CR22","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1016\/j.nonrwa.2016.12.003","volume":"35","author":"Y Huang","year":"2017","unstructured":"Huang Y, Zhang Z, Hu B (2017) Bifurcation for a free-boundary tumor model with angiogenesis. Nonlinear Anal Real World Appl 35:483\u2013502. https:\/\/doi.org\/10.1016\/j.nonrwa.2016.12.003","journal-title":"Nonlinear Anal Real World Appl"},{"key":"399_CR23","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.molliq.2018.01.138","volume":"255","author":"A Hussanan","year":"2018","unstructured":"Hussanan A, Salleh MZ, Khan I (2018) Microstructure and inertial characteristics of a magnetite ferrofluid over a stretching\/shrinking sheet using effective thermal conductivity model. J Mol Liq 255:64\u201375. https:\/\/doi.org\/10.1016\/j.molliq.2018.01.138","journal-title":"J Mol Liq"},{"key":"399_CR25","unstructured":"National Tumors Institute (2017)\u00a0Obesity and tumors risk. https:\/\/www.cancer.gov\/about-cancer\/causes-prevention\/risk\/obesity\/obesity-fact-sheet. Accessed 5 Apr 2022"},{"key":"399_CR24","unstructured":"National Tumors Institute (2018) Defining tumors. https:\/\/www.cancer.gov\/publications\/dictionaries\/cancer-terms. Accessed 5 May 2022"},{"key":"399_CR26","unstructured":"NHS Choices (2016) Tumors\u2014signs and symptoms. https:\/\/www.nhs.uk\/conditions\/cancer\/symptoms\/. Accessed 13 Oct 2022"},{"key":"399_CR27","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1093\/alcalc\/agv110","volume":"51","author":"H Jayasekara","year":"2016","unstructured":"Jayasekara H, MacInnis RJ, Room R, English DR (2016) Long-term alcohol consumption and breast, upper aero-digestive tract and colorectal tumors risk: a systematic review and meta-analysis. Alcohol Alcohol 51:315\u2013330. https:\/\/doi.org\/10.1093\/alcalc\/agv110","journal-title":"Alcohol Alcohol"},{"key":"399_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.chaos.2019.03.029","volume":"123","author":"Y Jin","year":"2019","unstructured":"Jin Y, Yuanshun T, Robert AC (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons Fractals 123:1\u201313. https:\/\/doi.org\/10.1016\/j.chaos.2019.03.029","journal-title":"Chaos, Solitons Fractals"},{"key":"399_CR29","doi-asserted-by":"publisher","first-page":"30","DOI":"10.3322\/caac.20140","volume":"62","author":"LH Kushi","year":"2016","unstructured":"Kushi LH, Doyle C, McCullough M, Rock CL, Wahnefried WD, Bandera EV, Gapstur S, Patel AV, Andrews K, Gansler T (2016) American tumors society guidelines on nutrition and physical activity for tumors prevention: reducing the risk of tumors with healthy food choices and physical activity. Catumors J Clin 62:30\u201367. https:\/\/doi.org\/10.3322\/caac.20140","journal-title":"Catumors J Clin"},{"key":"399_CR30","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/S0092-8240(05)80260-5","volume":"56","author":"VA Kuznetsov","year":"1994","unstructured":"Kuznetsov VA, Makalkin IA, Taylor MA, Perelson AS (1994) Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis. Bull Math Biol 56:295\u2013321. https:\/\/doi.org\/10.1016\/S0092-8240(05)80260-5","journal-title":"Bull Math Biol"},{"key":"399_CR32","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1038\/bjc.1965.32","volume":"19","author":"AK Laird","year":"1965","unstructured":"Laird AK (1965) Dynamics of tumors growth. Br J Cancer 19:278\u2013291. https:\/\/doi.org\/10.1038\/bjc.1965.32","journal-title":"Br J Cancer"},{"key":"399_CR31","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1038\/bjc.1964.55","volume":"13","author":"AK Laird","year":"1964","unstructured":"Laird AK (1964) Dynamics of tumors growth. Br J Cancer 13:490\u2013502. https:\/\/doi.org\/10.1038\/bjc.1964.55","journal-title":"Br J Cancer"},{"key":"399_CR33","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1111\/j.1541-0420.2006.00686.x","volume":"63","author":"EEM Moodie","year":"2014","unstructured":"Moodie EEM, Richardson TS, Stephens DA (2014) Demystifying optimal dynamic treatment regimes. Biometrics 63:447\u2013455. https:\/\/doi.org\/10.1111\/j.1541-0420.2006.00686.x","journal-title":"Biometrics"},{"key":"399_CR34","doi-asserted-by":"publisher","first-page":"644","DOI":"10.34218\/IJARET.11.8.2020.063","volume":"11","author":"N Namdev","year":"2020","unstructured":"Namdev N, Sinha AK (2020) Mathematical analysis for the prediction of tumors. Int J Adv Res Eng Technol 11:644\u2013652. https:\/\/doi.org\/10.34218\/IJARET.11.8.2020.063","journal-title":"Int J Adv Res Eng Technol"},{"key":"399_CR35","doi-asserted-by":"publisher","first-page":"5703","DOI":"10.28919\/jmcs\/5738","volume":"11","author":"N Namdev","year":"2021","unstructured":"Namdev N, Sinha AK (2021) Prediction of the supportive vaccine type of the covid-19 for public health. J Math Comput Sci 11:5703\u20135719. https:\/\/doi.org\/10.28919\/jmcs\/5738","journal-title":"J Math Comput Sci"},{"key":"399_CR36","doi-asserted-by":"publisher","DOI":"10.1007\/s13721-022-00368-0","author":"N Namdev","year":"2022","unstructured":"Namdev N, Sinha AK, Shende P (2022) Mathematical computation of the tumor growth. Netw Model Anal Health Inform Bioinform. https:\/\/doi.org\/10.1007\/s13721-022-00368-0","journal-title":"Netw Model Anal Health Inform Bioinform"},{"key":"399_CR37","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/0895-7177(96)00053-2","volume":"23","author":"ME Orme","year":"1996","unstructured":"Orme ME, Chaplain MA (1996) A mathematical model of vascular tumour growth and invasion. Math Comput Model 23:43\u201360. https:\/\/doi.org\/10.1016\/0895-7177(96)00053-2","journal-title":"Math Comput Model"},{"key":"399_CR38","doi-asserted-by":"crossref","unstructured":"Pack A, Murray-Smith D (1972) Mathematical models and their applications in medicine. Scott Med J. 17:401\u2013409. http:\/\/eprints.gla.ac.uk\/67359\/. Accessed 23 Sept 2021","DOI":"10.1177\/003693307201701205"},{"key":"399_CR39","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/S0025-5564(97)00080-1","volume":"147","author":"JC Panetta","year":"1998","unstructured":"Panetta JC (1998) A mathematical model of drug resistance: Heterogeneous tumors. Math Biosci 147:41\u201361. https:\/\/doi.org\/10.1016\/S0025-5564(97)00080-1","journal-title":"Math Biosci"},{"key":"399_CR40","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0096-3003(93)90112-R","volume":"53","author":"G Pokhariyal","year":"1993","unstructured":"Pokhariyal G, Rodrigues A (1993) An accurate epidemiological model. Appl Math Comput 53:1\u201312. https:\/\/doi.org\/10.1016\/0096-3003(93)90112-R","journal-title":"Appl Math Comput"},{"key":"399_CR41","doi-asserted-by":"publisher","DOI":"10.1063\/1.4995847","volume":"1870","author":"N Ramli","year":"2017","unstructured":"Ramli N, Ahmad S, Pop I (2017) Slip effects on MHD flow and heat transfer of ferrofluids over a moving flat plate. AIP Conf Proc 1870:040015. https:\/\/doi.org\/10.1063\/1.4995847","journal-title":"AIP Conf Proc"},{"key":"399_CR42","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1016\/j.joems.2016.12.001","volume":"25","author":"A Rashad","year":"2017","unstructured":"Rashad A (2017) Impact of anisotropic slip on transient three-dimensional MHD flow of ferrofluid over an inclined radiate stretching surface. J Egypt Math Soc. 25:230\u2013237. https:\/\/doi.org\/10.1016\/j.joems.2016.12.001","journal-title":"J Egypt Math Soc."},{"key":"399_CR43","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.amc.2019.02.002","volume":"353","author":"FA Rihan","year":"2019","unstructured":"Rihan FA, Lakshmanan S, Maurer H (2019) Optimal control of tumour-immune model with time-delay and immuno-chemotherapy. Appl Math Comput 353:147\u2013165. https:\/\/doi.org\/10.1016\/j.amc.2019.02.002","journal-title":"Appl Math Comput"},{"key":"399_CR44","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.bspc.2014.04.010","volume":"13","author":"CM Sakode","year":"2014","unstructured":"Sakode CM, Padhi R, Kapoor S, Rallabandi VPS, Roy PK (2014) Multimodal therapy for complete regression of malignant melanoma using constrained nonlinear optimal dynamic inversion. Biomed Signal Process Control 13:198\u2013211. https:\/\/doi.org\/10.1016\/j.bspc.2014.04.010","journal-title":"Biomed Signal Process Control"},{"key":"399_CR45","doi-asserted-by":"publisher","first-page":"30","DOI":"10.14456\/scitechasia.2021.4","volume":"26","author":"AK Sinha","year":"2021","unstructured":"Sinha AK, Namdev N (2021) A mathematical model of tumor growth in human body with the rough set. Sci Technol Asia 26:30\u201338. https:\/\/doi.org\/10.14456\/scitechasia.2021.4","journal-title":"Sci Technol Asia"},{"key":"399_CR46","doi-asserted-by":"publisher","DOI":"10.1007\/s13721-020-00232-z","author":"AK Sinha","year":"2020","unstructured":"Sinha AK, Namdev N (2020a) Feature selection and pattern recognition for different types of skin disease in human body using the rough set method. Netw Model Anal Health Inform Bioinform. https:\/\/doi.org\/10.1007\/s13721-020-00232-z","journal-title":"Netw Model Anal Health Inform Bioinform"},{"key":"399_CR47","unstructured":"Sinha AK, Namdev N (2020b) Mathematical modeling of lung cancer using rough sets. Int J Adv Res Eng Technol 11:1\u201310. https:\/\/ssrn.com\/abstract=3565100. Accessed 30 Mar 2020"},{"key":"399_CR48","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.mbs.2018.03.027","volume":"301","author":"AK Sinha","year":"2018","unstructured":"Sinha AK, Namdev N, Kumar A (2018) Rough set method accurately predicts unknown protein class\/family of leishmania donovani membrane proteome. Math Biosci 301:37\u201349. https:\/\/doi.org\/10.1016\/j.mbs.2018.03.027","journal-title":"Math Biosci"},{"key":"399_CR49","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2020.110246","author":"AK Sinha","year":"2020","unstructured":"Sinha AK, Namdev N, Kumar A (2020) A mathematical model of adiponectin resistance. J Theor Biol. https:\/\/doi.org\/10.1016\/j.jtbi.2020.110246","journal-title":"J Theor Biol"},{"key":"399_CR50","doi-asserted-by":"publisher","DOI":"10.1007\/s13721-021-00350-2","author":"AK Sinha","year":"2022","unstructured":"Sinha AK, Namdev N, Shende P (2022) Mathematical Modeling of the Outbreak of COVID-19. Netw Model Anal Health Inform Bioinform. https:\/\/doi.org\/10.1007\/s13721-021-00350-2","journal-title":"Netw Model Anal Health Inform Bioinform"},{"key":"399_CR51","first-page":"897","volume":"24","author":"NV Stepanova","year":"1979","unstructured":"Stepanova NV (1979) Immune response dynamics during malignant tumor development. Biofizika 24:897\u2013902","journal-title":"Biofizika"},{"key":"399_CR52","first-page":"333","volume":"30","author":"WC Summers","year":"1966","unstructured":"Summers WC (1966) Dynamics of tumors growth\u2014a mathematical model. Growth 30:333","journal-title":"Growth"},{"key":"399_CR53","doi-asserted-by":"publisher","first-page":"428","DOI":"10.1016\/j.scitotenv.2017.12.208","volume":"625","author":"SMH Tabatabaie","year":"2018","unstructured":"Tabatabaie SMH, Bolte JP, Murthy GS (2018) A regional scale modeling framework combining biogeochemical model with life cycle and economic analysis for integrated assessment of cropping systems. Sci Total Environ 625:428\u2013439. https:\/\/doi.org\/10.1016\/j.scitotenv.2017.12.208","journal-title":"Sci Total Environ"},{"key":"399_CR54","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.drudis.2013.06.015","volume":"19","author":"Z Wang","year":"2014","unstructured":"Wang Z, Deisboeck TS (2014) Mathematical modeling in cancer drug discovery. Drug Discovery Today 19:45\u201350. https:\/\/doi.org\/10.1016\/j.drudis.2013.06.015","journal-title":"Drug Discovery Today"},{"key":"399_CR55","unstructured":"World Health Organization (2014a) World Tumors Report. http:\/\/www.who.int\/cancer\/publications\/WRC_2014a\/en\/. Accessed 3 Feb 2022"},{"key":"399_CR56","unstructured":"World Health Organization (2014b) World Tumors Report. ISBN\u00a09283204298. http:\/\/www.who.int\/cancer\/publications\/WRC_2014b\/en\/. Accessed 3 Feb 2022"},{"key":"399_CR57","unstructured":"World Health Organization (2018)\u00a0Tumors fact sheet N\u00b0297. http:\/\/www.who.int\/news-room\/fact-sheets\/detail\/cancer. Accessed 3 Feb 2022"},{"key":"399_CR58","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1016\/j.molliq.2015.12.110","volume":"215","author":"A Zeeshan","year":"2016","unstructured":"Zeeshan A, Majeed A, Ellahi R (2016) Effect of magnetic dipole on viscous ferrofluid past a stretching surface with thermal radiation. J Mol Liq 215:549\u2013554. https:\/\/doi.org\/10.1016\/j.molliq.2015.12.110","journal-title":"J Mol Liq"},{"key":"399_CR59","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2019.05.056","author":"J Zheng","year":"2019","unstructured":"Zheng J, Cui S (2019) Analysis of a tumor-model free boundary problem with a nonlinear boundary condition. J Math Anal Appl. https:\/\/doi.org\/10.1016\/j.jmaa.2019.05.056","journal-title":"J Math Anal Appl"}],"container-title":["Network Modeling Analysis in Health Informatics and Bioinformatics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13721-022-00399-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13721-022-00399-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13721-022-00399-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,7]],"date-time":"2023-12-07T08:15:19Z","timestamp":1701936919000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13721-022-00399-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,29]]},"references-count":59,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["399"],"URL":"https:\/\/doi.org\/10.1007\/s13721-022-00399-7","relation":{},"ISSN":["2192-6670"],"issn-type":[{"value":"2192-6670","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,29]]},"assertion":[{"value":"1 September 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 October 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 November 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 November 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"2"}}