It is possible to observe that the system behaviour is robust with respect to variations in \(F_r\), but sensitive to variations in \(F_a^{NP}=F_a^{PN}\), which set the time needed to establish crystalline configurations. By limiting to a purposefully small set of assumptions and replicating the in vitro set-up of two populations initially placed in juxtaposing aggregates, our computational simulations have been able to reproduce the experimental findings in Theveneau et al. J Phys D Appl Phys 50(11):113002, Camley BA, Zimmermann J, Levine H, Rappel WJ (2016a) Emergent collective chemotaxis without single-cell gradient sensing. We consider the behaviour of a colony of 100 PCs for three different cell-cell interaction coefficient parameter settings, each satisfying the H-stability condition: \(F_r=1~\upmu \mathrm {m\,s}^{-1}\) with \(F_a^{PP} = 0.02~\upmu \mathrm {m\,s}^{-1}\); \(F_r=1~\upmu \hbox {m}\,\hbox {s}^{-1}\) with \(F_a^{PP} = 0.008~\upmu \mathrm {m\,s}^{-1}\); \(F_r=0.4~\upmu \mathrm {m\,s}^{-1}\) with \(F_a^{PP} = 0.008~\upmu \mathrm {m\,s}^{-1}\); and \(F_r=1\,\mu \mathrm {m\,s}^{-1}\) with \(F_a^{PP} = 0.002~\upmu \mathrm {m\,s}^{-1}\).
Birkhäuser, Basel, pp 169–203, Kania A, Klein R (2016) Mechanisms of ephrin-Eph signalling in development, physiology and disease. Financial Services, Industrial & Commercial, Five signs that you need to look into digital transformation now, Adopting a mobile centric approach to digital transformation, NCS helps Client accelerates application rollouts with AWS Services, Empowering Flexible Remote Working with Technology, Setting up a High-Performance Digital Factory with DevSecOps.
Regarding cell-cell adhesion, we assume that N-cadherin–N-cadherin bonds generate symmetric adhesive responses in each of the adjacent cells, i.e., we take \(F_a^{NP}=F_a^{PN}=F_a^{NN}\), since both cell lines express N-cadherin molecules. Analogously, the solid blue and dashed red arrows indicate NC and PC direction of motion after contact, i.e., \(\mathbf{x }_i^{\alpha }(t_c-\varDelta t )/|\mathbf{x }_i^{\alpha }(t_c-\varDelta t )|\). If you wanna contact us for item testings/reviews/video/promotions, please write to this email: Please note, what all "YouTube" video content on this site is shared by site visitors, contact us if you want to delete bad/wrong videos. 17c–e. Christophe Varin. As critical measures to quantify system behaviour, we will take the minimal homotypic and heterotypic distances between the generic i-th cell belonging to population \(\alpha \in \{N, P\}\) and the other individuals, i.e., \(d^{{\alpha }{\beta }}_{i, \text {min}}= \min _{j=1,\ldots ,n_{{\beta }}}d^{{\alpha }{\beta }}_{ij}\), with \({\beta }\in \{N, P\}\). In this respect, in Fig. Nevertheless, further insights into the criticality and sensitivity of parameters is desirable and in this regard a more comprehensive sensitive analysis and further analytical investigation would be important.
10).
Parameters related to cell resistance to compression and cell-cell adhesion As far as we are aware, there is no evidence that placode and neural crest cells have a different nuclear stiffness: therefore, we set \(F_r^{{\alpha }{\beta }}=F_r\) for any \({\alpha },{\beta }\in \left\{ N,P\right\} \). In: Alt W, Chaplain M, Griebel M, Lenz J (eds) Polymer and cell dynamics. 2018; Szabo et al. First, we have taken a simplistic approach to the inclusion of NC-NC homotypic interactions. This lies in qualitative agreement with the corresponding biological experiment (cf. @clement-arfian you know... this isnt the weirdest thing ive read all day.
Initial cell distributions are specified for each simulation suite. J.Theor Biol 276(1):250–268, MATH 2007) and mouse melanocyte cells (Mort et al. Default parameters used in simulations are listed in Table 1, with those obtained via data fitting indicated. Comp.