IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v152y2021ics0960077921007037.html
   My bibliography  Save this article

Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment

Author

Listed:
  • Ghanizadeh, Mojtaba
  • Shariatpanahi, Seyed Peyman
  • Goliaei, Bahram
  • Rüegg, Curzio

Abstract

Mathematical modeling was shown to be a powerful tool to describe immune system-cancer dynamics and specifically immunoediting. Here, we used a system of two ordinary differential equations to investigate the fate of the tumor through the three main phases of cancer immunoediting: elimination phase (elimination of cancer cells by the immune system), dormancy phase (equilibrium between tumor growth and immune system response), and escape phase (escape of cancer cells and growth of tumor). The role of the tumor growth rate, tumor immunogenic properties (immunogenicity or immunosuppressive effects), and tumor accessibility for the immune system were evaluated. The results show that decreasing the growth rate and increasing accessibility of the tumor for the immune system may help immunogenic tumors to survive elimination and become dormant; dormant tumors may wake up later on, causing tumor escape and growth. The model also indicated that the synchronization of immune response and tumor growth is a key factor for successful tumor elimination. Simulation results for the fate of the residual tumor cells after surgical tumor resection, revealed the importance of timing in adjuvant targeted-therapy: a too late or a too early start of targeted therapy may result in tumor escape or tumor dormancy, respectively, while start at an intermediate timing results in the elimination of the tumor. Results of this simulation are corroborated with experimental and clinical observations.

Suggested Citation

  • Ghanizadeh, Mojtaba & Shariatpanahi, Seyed Peyman & Goliaei, Bahram & Rüegg, Curzio, 2021. "Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
  • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007037
    DOI: 10.1016/j.chaos.2021.111349
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921007037
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2021.111349?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ghanbari, Behzad & Kumar, Sunil & Kumar, Ranbir, 2020. "A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Alexander C. Huang & Michael A. Postow & Robert J. Orlowski & Rosemarie Mick & Bertram Bengsch & Sasikanth Manne & Wei Xu & Shannon Harmon & Josephine R. Giles & Brandon Wenz & Matthew Adamow & Debora, 2017. "T-cell invigoration to tumour burden ratio associated with anti-PD-1 response," Nature, Nature, vol. 545(7652), pages 60-65, May.
    3. Grazziela P Figueredo & Peer-Olaf Siebers & Markus R Owen & Jenna Reps & Uwe Aickelin, 2014. "Comparing Stochastic Differential Equations and Agent-Based Modelling and Simulation for Early-Stage Cancer," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-18, April.
    4. Ira Mellman & George Coukos & Glenn Dranoff, 2011. "Cancer immunotherapy comes of age," Nature, Nature, vol. 480(7378), pages 480-489, December.
    5. Rihan, F.A. & Abdel Rahman, D.H. & Lakshmanan, S. & Alkhajeh, A.S., 2014. "A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 606-623.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Xiangdong & Li, Qingze & Pan, Jianxin, 2018. "A deterministic and stochastic model for the system dynamics of tumor–immune responses to chemotherapy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 162-176.
    2. Jiangtao Gu & Raoqing Guo & Ligang Zhang & Ning Deng, 2022. "Construction of a Natural Human Fab Phage Antibody Library and Screening of Phage Antibody against PD-L1," International Journal of Sciences, Office ijSciences, vol. 11(02), pages 29-38, February.
    3. Sunil Kumar & Ali Ahmadian & Ranbir Kumar & Devendra Kumar & Jagdev Singh & Dumitru Baleanu & Mehdi Salimi, 2020. "An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets," Mathematics, MDPI, vol. 8(4), pages 1-22, April.
    4. Rihan, F.A. & Lakshmanan, S. & Maurer, H., 2019. "Optimal control of tumour-immune model with time-delay and immuno-chemotherapy," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 147-165.
    5. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    6. Ruiqing Shi & Ting Lu & Cuihong Wang, 2019. "Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response," Complexity, Hindawi, vol. 2019, pages 1-13, August.
    7. Ravichandran, C. & Sowbakiya, V. & Nisar, Kottakkaran Sooppy, 2022. "Study on existence and data dependence results for fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Elaine Lai-Han Leung & Run-Ze Li & Xing-Xing Fan & Lily Yan Wang & Yan Wang & Zebo Jiang & Jumin Huang & Hu-Dan Pan & Yue Fan & Hongmei Xu & Feng Wang & Haopeng Rui & Piu Wong & Hermi Sumatoh & Michae, 2023. "Longitudinal high-dimensional analysis identifies immune features associating with response to anti-PD-1 immunotherapy," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    9. Dzyubak, Larysa & Dzyubak, Oleksandr & Awrejcewicz, Jan, 2023. "Nonlinear multiscale diffusion cancer invasion model with memory of states," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    10. Duan, Wei-Long & Lin, Ling, 2021. "Noise and delay enhanced stability in tumor-immune responses to chemotherapy system," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    11. Shyam Sundar Santra & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator," Mathematics, MDPI, vol. 9(12), pages 1-9, June.
    12. Ahmad, Shabir & Ullah, Aman & Akgül, Ali, 2021. "Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    13. Das, Parthasakha & Das, Samhita & Das, Pritha & Rihan, Fathalla A. & Uzuntarla, Muhammet & Ghosh, Dibakar, 2021. "Optimal control strategy for cancer remission using combinatorial therapy: A mathematical model-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    14. Jeppe Sejerø Holm & Samuel A. Funt & Annie Borch & Kamilla Kjærgaard Munk & Anne-Mette Bjerregaard & James L. Reading & Colleen Maher & Ashley Regazzi & Phillip Wong & Hikmat Al-Ahmadie & Gopa Iyer & , 2022. "Neoantigen-specific CD8 T cell responses in the peripheral blood following PD-L1 blockade might predict therapy outcome in metastatic urothelial carcinoma," Nature Communications, Nature, vol. 13(1), pages 1-17, December.
    15. Jianming Xu & Yi Li & Qingxia Fan & Yongqian Shu & Lei Yang & Tongjian Cui & Kangsheng Gu & Min Tao & Xiuwen Wang & Chengxu Cui & Nong Xu & Juxiang Xiao & Quanli Gao & Yunpeng Liu & Tao Zhang & Yuxian, 2022. "Clinical and biomarker analyses of sintilimab versus chemotherapy as second-line therapy for advanced or metastatic esophageal squamous cell carcinoma: a randomized, open-label phase 2 study (ORIENT-2," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    16. Meghana Pagadala & Timothy J. Sears & Victoria H. Wu & Eva Pérez-Guijarro & Hyo Kim & Andrea Castro & James V. Talwar & Cristian Gonzalez-Colin & Steven Cao & Benjamin J. Schmiedel & Shervin Goudarzi , 2023. "Germline modifiers of the tumor immune microenvironment implicate drivers of cancer risk and immunotherapy response," Nature Communications, Nature, vol. 14(1), pages 1-22, December.
    17. David J. Klinke & Audry Fernandez & Wentao Deng & Atefeh Razazan & Habibolla Latifizadeh & Anika C. Pirkey, 2022. "Data-driven learning how oncogenic gene expression locally alters heterocellular networks," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
    18. Rihan, F.A. & Velmurugan, G., 2020. "Dynamics of fractional-order delay differential model for tumor-immune system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    19. Kumar, Sunil & Kumar, Ranbir & Cattani, Carlo & Samet, Bessem, 2020. "Chaotic behaviour of fractional predator-prey dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    20. Manuel Rodrigues & Giulia Vanoni & Pierre Loap & Coraline Dubot & Eleonora Timperi & Mathieu Minsat & Louis Bazire & Catherine Durdux & Virginie Fourchotte & Enora Laas & Nicolas Pouget & Zahra Castel, 2023. "Nivolumab plus chemoradiotherapy in locally-advanced cervical cancer: the NICOL phase 1 trial," Nature Communications, Nature, vol. 14(1), pages 1-15, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007037. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.