Sohail Ayesha, Yu Zhenhua, Arif Robia, Nutini Alessandro, Nofal Taher A
Department of Mathematics, Comsats University Islamabad, Lahore 54000, Pakistan.
Institute of Systems Security and Control, College of Computer Science and Technology, Xi'an University of Science and Technology, Xi'an 710054, China.
Results Phys. 2022 Feb;33:105046. doi: 10.1016/j.rinp.2021.105046. Epub 2021 Dec 24.
The pandemic caused by the SARS-CoV2 virus has prompted research into new therapeutic solutions that can be used to treat the CoVid-19 syndrome. As part of this research, immunotherapy, first developed against cancer, is offering new therapeutic horizons also against viral infections. CAR technology, with the production of CAR-T cells (adoptive immunotherapy), has shown applicability in the field of HIV viral infections through second generation CAR-T cells implemented with the "CD4CAR" system with a viral fusion inhibitor. In addition, to avoid the immunoescape of the virus, bi- or trispecific CAR receptors have been developed. Our research group hypothesizes the use of this immunotherapy system against SARS-CoV2, admitting the appropriate adjustments concerning the target-epitope and a possible remodeling of the nuclease related to the action of this virus. For a more in-depth analysis of this hypothesis, a mathematical model has been developed which, starting from the fractional derivative Caputo, creates a system of equations that describes the interactions between CAR-T cells, memory cells, and cells infected with SARS-CoV2. Through an analysis of the existence and non-negativity of the solutions, the hypothesis is stabilized; then is further demonstrated through the use of the piece-wise derivative and the consequent application of the formula of Newton polynomial interpolation.
由SARS-CoV2病毒引起的大流行促使人们对可用于治疗新冠综合征的新治疗方案进行研究。作为这项研究的一部分，最初针对癌症开发的免疫疗法也为对抗病毒感染提供了新的治疗前景。CAR技术通过使用“CD4CAR”系统和病毒融合抑制剂的第二代CAR-T细胞（过继性免疫疗法）生产CAR-T细胞，已在HIV病毒感染领域显示出适用性。此外，为避免病毒的免疫逃逸，还开发了双特异性或三特异性CAR受体。我们的研究小组假设使用这种免疫疗法系统对抗SARS-CoV2，承认对靶表位进行适当调整以及对与该病毒作用相关的核酸酶进行可能的重塑。为了更深入地分析这一假设，已经开发了一个数学模型，该模型从分数阶导数Caputo开始，创建了一个描述CAR-T细胞、记忆细胞和感染SARS-CoV2的细胞之间相互作用的方程组。通过对解的存在性和非负性的分析，该假设得以稳定；然后通过使用分段导数以及随后应用牛顿多项式插值公式进一步证明。
