scholarly journals Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach

2021 ◽  
Vol 83 (3) ◽  
Author(s):  
Luis Almeida ◽  
Gissell Estrada-Rodriguez ◽  
Lisa Oliver ◽  
Diane Peurichard ◽  
Alexandre Poulain ◽  
...  
Keyword(s):  
2004 ◽  
Vol 69 (2) ◽  
pp. 145-151 ◽  
Author(s):  
Snezana Brezovska ◽  
Biljana Marina ◽  
Biljana Panova ◽  
Donco Burevski ◽  
Vasa Bosevska ◽  
...  

The adsorption of benzene vapor on natural and acid activated bentonites was treated by the theory of volume filling of micropores. The micropore volume and characteristic values of the free energy of adsorptionwere determined from the adsorption isotherms. The Dubinin?Radushkevish?Stoeckli and Dubinin?Astakhov equations were used for this purpose. The results showed that natural bentonite has a more homogeneous micropore structure than the acid activated ones. The characteristic values of the free energy of adsorption for the natural bentonite were higher than those of the acid activated bentonite. This is due to differences in its structure and the pore size.


1997 ◽  
Vol 166 ◽  
pp. 301-304
Author(s):  
Elly M. Berkhuijsen

AbstractA compilation of data on the volume filling factor fv of the warm ionized medium (WIM) as a function of the local electron density ne indicates that approximately fv ∝ n−1e over 4 decades. This result is expected for a fractal ISM.


2019 ◽  
Vol 141 (7) ◽  
Author(s):  
Lu Lu ◽  
Jinlin Song ◽  
Kun Zhou ◽  
Han Ou ◽  
Qiang Cheng ◽  
...  

We show numerically the phase change material Ge3Sb2Te6 (GST) with special configuration as a heat modulator in the regime of near-field radiative heat transfer (NFRHT). The ability of GST to allow ultrafast reversible switch between two phases endows it great potential in practical modulation application. By designing silicon carbide (SiC) nanoholes (NHs) filled with GST, this configuration could achieve a considerable modulation effect and large near-field radiative heat flux. The underlying mechanism can be explained by the observation that the entire configuration supports either hyperbolic modes or surface phonon polaritons (SPhPs) resonance modes and even the combination of both modes, thereby resulting in the remarkable modulation effect. In addition, the effects of the volume filling factor and graphene coverage are also investigated at the vacuum gap distance of 100 nm. With graphene coverage, the modulation factor can be further improved to as high as 0.72 achieved at the volume filling factor of 0.6 with temperature difference of 20 K. The proposed configuration has the potential to effectively modulate heat in the near-field regime for designing heat modulation applications in the future.


2020 ◽  
Vol 30 (13) ◽  
pp. 2050182
Author(s):  
Yaying Dong ◽  
Shanbing Li

In this paper, we show how the global bifurcation theory for nonlinear Fredholm operators (Theorem 4.3 of [Shi & Wang, 2009]) and for compact operators (Theorem 1.3 of [Rabinowitz, 1971]) can be used in the study of the nonconstant stationary solutions for a volume-filling chemotaxis model with logistic growth under Neumann boundary conditions. Our results show that infinitely many local branches of nonconstant solutions bifurcate from the positive constant solution [Formula: see text] at [Formula: see text]. Moreover, for each [Formula: see text], we prove that each [Formula: see text] can be extended into a global curve, and the projection of the bifurcation curve [Formula: see text] onto the [Formula: see text]-axis contains [Formula: see text].


Author(s):  
N. E. Sillett

Schedule 4 of the Weights and Measures Act 1963 sets out definite requirements that must be met by producers of pre-packed food products. In the past, miscellaneous products, other than foods, have been retailed in packs or containers which were not required to carry an indication of amount of product by weight or volume. The Act now makes this necessary. Schedule 4, Parts 1–12, of the Act cover the regulations applied to food products. Since it is not possible within the scope of this paper to deal with each specific part of Schedule 4, it is intended to discuss generally the sections covered by the following packaging methods: (a) liquid filling; (b) dry goods filling. The parts of Schedule 4 covered under ( a) will be (5) Milk and (6) Intoxicating liquor. Parts 8, 9, and 10 will be covered under ( b). The four basic methods of liquid filling, namely vacuum, measured dosing, gravity, and pressure, will be described. Under the heading of ‘dry goods filling’, counting, volume filling, and weighing will be discussed. The author will explain how packer and machine manufacturer have been able to comply with the regulations without extensive redesign of existing equipment, either in use or on the market. Various methods by which increased speeds may be obtained whilst the requirements of the Act are still met, will be described.


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