A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions

  • Received: 01 January 2005 Accepted: 29 June 2018 Published: 01 August 2005
  • MSC : 92C10, 92C37, 92C50, 76D05, 76M20.

  • Interactions between tumor cells and their environment lead to the formation of microregions containing nonhomogeneous subpopulations of cells and steep gradients in oxygen, glucose, and other metabolites. To address the formation of tumor microregions on the level of single cells, I propose a new two-dimensional time-dependent mathematical model taking explicitly into account the individually regulated biomechanical processes of tumor cells and the effect of oxygen consumption on their metabolism. Numerical simulations of the self-organized formation of tumor microregions are presented and the dynamics of such a process is discussed.

    Citation: Katarzyna A. Rejniak. A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions[J]. Mathematical Biosciences and Engineering, 2005, 2(3): 643-655. doi: 10.3934/mbe.2005.2.643

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  • Interactions between tumor cells and their environment lead to the formation of microregions containing nonhomogeneous subpopulations of cells and steep gradients in oxygen, glucose, and other metabolites. To address the formation of tumor microregions on the level of single cells, I propose a new two-dimensional time-dependent mathematical model taking explicitly into account the individually regulated biomechanical processes of tumor cells and the effect of oxygen consumption on their metabolism. Numerical simulations of the self-organized formation of tumor microregions are presented and the dynamics of such a process is discussed.


    Despite decades of research, no drug has so far been fully effective against HIV. Although currently available antiretroviral therapy (ART) can effectively suppress HIV replication by acting at different levels of the HIV life cycle, it does not completely eradicate infected cells but instead converts them into latent viral reservoirs which upon non-adherence to treatment leads to viral rebound. Moreover, ART presents many challenges in terms of long-term drug toxicities and side effects [1]. It has therefore become crucial to seek novel ways of approaching HIV cure. Immunotherapy seems to have paved the way for this. Importantly, NK cell-based immunotherapy has gained ground in cancer treatment with promising results [2]. NK cells are well known for their anti-tumor and antiviral activity, and they do not require prior antigenic stimuation for activation [3]. Therefore, NK-based immunotherapies against HIV are currently under consideration and are being tested in clinical trials. Some of those include CAR-NK cell therapy, toll-like receptor (TLR) agonists, broadly neutralizing Abs (bNAbs), bi- and tri-specific killer engagers (BiKEs & TriKEs), facilitating antibody-dependent cellular cytotoxicity (ADCC), blocking inhibitory NK receptors during infection, IL-15 and IL-15 superagonists (eg: ALT-803), etc. [4] (Figure 1).

    Figure 1.  NK-based immunotherapies available against HIV-infection. (a) TLR 3, 7, 8, and 9 found within endosomes are targeted by their respective agonists, leading to a signalling cascade that causes the release of cytokines to enhance the recruitment of anti-HIV responses. (b) Killer Engagers and bNAbs work by enhancing ADCC. (c) IL-15 superagonist ALT-803 and the IL-15 component of the TriKE binds to IL-15Rα to improve NK cell function, persistence, and expansion. (d) Chimeric antigen receptor with the red arrow pointing to the universal CAR-NK cell consisting of the anti-DNP CAR (e) Monalizumab blocks NKG2A whereas IPH2102/Lirilumab blocks KIR. Blocking of either KIR or NKG2A, both of which are inhibitory NK receptors results in relieving the inhibition exerted on the ADCC pathway. Created using biorender.com and adapted from one of our manuscripts submitted for publication.

    A major cause of frustration and a fact that is immensely challenging in HIV drug development attempts is overcoming HIV diversity. In fact, previous studies on multi-specific bNAbs have shown that focusing on two or three epitopes are inadequate to cover all HIV-1 variants. However, we recently came across an interesting article by Lim et al. where they have introduced for the first time in history, a universal CAR-NK cell approach providing an effective solution to counteract this HIV variability [5]. In contrast to currently available CARs which target a single epitope of HIV envelope glycoprotein gp160 (a complex between gp120 and gp41) and thus have failed to address this issue, the universal CAR model developed by Lim et al. indirectly targets different gp160 epitope variants. Their CAR-NK cell has been designed to recognize 2,4-dinitrophenyl (2,4-DNP) tagged to gp160 specific Abs, given that anti-gp160 Abs with different specificities are readily available. See Figure 1d [5]. This kind of approach has several potential advantages. Firstly, it is compatible with all types of Abs including those which are not effective in inducing ADCC. Also, it has higher specificity and can be considered safer as ADCC will not be induced by naturally produced serum Abs. Furthermore, they do not impair the primary NK cell response against gp160+ HIV-infected cells [5] As a solution to the competition exerted by natural anti-2,4-DNP Abs that exist in minor proportions in serum (≈1%), Lim et al. have suggested increasing the affinity of their universal CAR for DNP [6]. Compared to the use of T cell-based approaches, allogeneic NK cells are a better alternative since it is linked to a lower risk of inducing GvHD [7]. Their approach will be further evaluated through mouse models in future studies.

    Thus, we conclude that in order to tackle the tremendous diversity of HIV epitopes similar cost-effective and flexible universal strategies will be necessary. Furthermore, under the current situation, this approach alone will not be sufficient since the latent HIV reservoir will have to be reactivated and thus combination therapy with LRAs (latency reversing agents) and possibly other agents such as antiretroviral combinations seem essential as under pressure HIV is known to generate escape mutants or lead to selection [8],[9].

  • This article has been cited by:

    1. María Velasco‐de Andrés, Guillermo Muñoz‐Sánchez, Laura Carrillo‐Serradell, María del Mar Gutiérrez‐Hernández, Cristina Català, Marcos Isamat, Francisco Lozano, Chimeric antigen receptor–based therapies beyond cancer, 2023, 0014-2980, 2250184, 10.1002/eji.202250184
    2. Arosh S Perera Molligoda Arachchige, NK cell-based therapies for HIV infection: Investigating current advances and future possibilities, 2022, 111, 0741-5400, 921, 10.1002/JLB.5RU0821-412RR
    3. Linxin Yang, Jinshen He, Jiahao Liu, Tianjian Xie, Qi Tang, Application of chimeric antigen receptor therapy beyond oncology: A bibliometric and visualized analysis, 2024, 72, 24523186, 103442, 10.1016/j.retram.2024.103442
    4. Abdolreza Esmaeilzadeh, Kaveh Hadiloo, Marjan Jabbari, Reza Elahi, Current progress of chimeric antigen receptor (CAR) T versus CAR NK cell for immunotherapy of solid tumors, 2024, 337, 00243205, 122381, 10.1016/j.lfs.2023.122381
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  • © 2005 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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