Abstract Previous research on biological particles manipulation has taken into account linear cellular models and spherical geometry, Whereas, particles such as bacteria and cancer cells have cylindrical and crushed cylindrical geometry. On the other hand, cell behavior is nonlinear. Therefore, it is important to apply above mentioned models in the manipulation models and to investigate the modes of motion in the cylindrical nanoparticle manipulation to calculate the critical time and forces in order to understand the properties and behavior of these particles. In this paper, we present the analytical nonlinear cellular mechanical models that lead to the extraction of the creep function proportional to the biological particle behavior. Cylindrical and crushed cylindrical geometry considered in manipulation simulation. The cell is modeled with 2nd and 3rd order nonlinear spring and damper which are parallel and series. At the end, 2nd order nonlinear Kelvin selected as the most appropriate model. Comparison with the cell model of power-law and experimental data led to correction coefficients in models. Hereafter, JKR viscoelastic contact model was proposed for nanoparticles with cylindrical and crushed cylindrical geometry. Then, the application of cell models in the contact model and subsequently modeling of the first phase of the manipulation, considering folding factor, has been done. By simulating the main motion modes, including the mode of the slip of the probe tip on the particle, particle's rotation on the surface and the mode of slipping the particle on the surface, the force and critical times were obtained. According to the results, for a particle with a cylindrical geometry, the slip mode of the particle on the surface happens in 505.4 milliseconds and 5 microseconds faster than other modes. Besides, applying the folding factor causes an increase of 7% in the critical time. Because the folded shape of the cell surface causes more disturbance and friction, it requires more time and force to move the particle away and is matched to the physics of the problem. For a particle with a crushed cylindrical geometry, the slip of the probe tip on the particle occurs in 420.7 milliseconds and 10 milliseconds faster than other modes and under the force of 0.7255 micro N and about 71 percent less than the others. Also, the application of the folding factor for this particle contributes to an increase of 24% in critical force and an increase of 11% in the critical time.

中文翻译：

---

AFM考虑细胞非线性模型的粘弹性折叠生物颗粒三维操作建模与仿真

摘要 以往对生物粒子操纵的研究考虑了线性细胞模型和球形几何形状，而细菌和癌细胞等粒子具有圆柱形和压碎的圆柱形几何形状。另一方面，细胞行为是非线性的。因此，将上述模型应用于操纵模型并研究圆柱形纳米粒子操纵中的运动模式以计算临界时间和力以了解这些粒子的性质和行为非常重要。在本文中，我们提出了解析非线性细胞力学模型，该模型导致提取与生物粒子行为成正比的蠕变函数。操作模拟中考虑的圆柱形和压碎的圆柱形几何形状。该单元用并联和串联的二阶和三阶非线性弹簧和阻尼器建模。最后，选择二阶非线性开尔文作为最合适的模型。与幂律细胞模型和实验数据的比较导致模型中的校正系数。此后，JKR 粘弹性接触模型被提出用于具有圆柱形和压碎圆柱形几何形状的纳米颗粒。然后，细胞模型在接触模型中的应用以及随后考虑折叠因素的操纵的第一阶段的建模已经完成。通过模拟探头尖端在粒子上的滑动模式、粒子在表面的旋转和粒子在表面上的滑动模式等主要运动模式，得到了力和临界时间。根据结果​​，对于具有圆柱形几何形状的粒子，粒子在表面的滑移模式发生在 505.4 毫秒内，比其他模式快 5 微秒。此外，应用折叠因子会导致临界时间增加 7%。由于细胞表面的折叠形状会引起更多的干扰和摩擦，因此需要更多的时间和力量才能将粒子移开，并且与问题的物理性质相匹配。对于具有压碎圆柱形几何形状的粒子，在 0.7255 微 N 的力下，探针尖端在粒子上的滑动速度比其他模式快 420.7 毫秒和 10 毫秒，比其他模式少约 71%。此外，该粒子折叠因子的应用有助于增加 24% 的临界力和 11% 的临界时间。