Combinatorial Surface Integration

Author(s):  
R. Fraile ◽  
E.R. Hancock

A method based on the Radon transform is presented to determine the displacement field in a general anisotropic solid due to the application of a time-harmonic point force. The Radon transform reduces the system of coupled partial differential equations for the displacement components to a system of coupled ordinary differential equations. This system is reduced to an uncoupled form by the use of properties of eigenvectors and eigenvalues. The resulting simplified system can be solved easily. A back transformation to the original coordinate system and a subsequent application of the inverse Radon transform yields the displacements as a summation of a regular elastodynamic term and a singular static term. Both terms are integrals over a unit sphere. For the regular dynamic term, the surface integration can be evaluated numerically without difficulty. For the singular static term, the surface integral has been reduced to a line integral over half a unit circle. Reductions to the cases of isotropy and transverse isotropy have been worked out in detail. Examples illustrate applications of the method.


2000 ◽  
Vol 26 (2) ◽  
pp. 255-262 ◽  
Author(s):  
Michelle S Chew ◽  
Joakim Brandberg ◽  
Peter Canard ◽  
Erik Sloth ◽  
Per Ask ◽  
...  

PLoS ONE ◽  
2021 ◽  
Vol 16 (1) ◽  
pp. e0246180
Author(s):  
Jayeeta Kolay ◽  
Sudipta Bera ◽  
Rupa Mukhopadhyay

One major obstacle in development of biomolecular electronics is the loss of function of biomolecules upon their surface-integration and storage. Although a number of reports on solid-state electron transport capacity of proteins have been made, no study on whether their functional integrity is preserved upon surface-confinement and storage over a long period of time (few months) has been reported. We have investigated two specific cases—collagen and ferritin proteins, since these proteins exhibit considerable potential as bioelectronic materials as we reported earlier. Since one of the major factors for protein degradation is the proteolytic action of protease, such studies were made under the action of protease, which was either added deliberately or perceived to have entered in the reaction vial from ambient environment. Since no significant change in the structural characteristics of these proteins took place, as observed in the circular dichroism and UV-visible spectrophotometry experiments, and the electron transport capacity was largely retained even upon direct protease exposure as revealed from the current sensing atomic force spectroscopy experiments, we propose that stable films can be formed using the collagen and ferritin proteins. The observed protease-resistance and robust nature of these two proteins support their potential application in bioelectronics.


2020 ◽  
Vol 242 ◽  
pp. 122478 ◽  
Author(s):  
Bingyang Meng ◽  
Bai Yang ◽  
Xixiang Zhang ◽  
Bohui Zhou ◽  
Xiaopan Li ◽  
...  

Perception ◽  
2004 ◽  
Vol 33 (7) ◽  
pp. 789-806 ◽  
Author(s):  
Zijiang J He ◽  
Bing Wu ◽  
Teng Leng Ooi ◽  
Gary Yarbrough ◽  
Jun Wu

Sign in / Sign up

Export Citation Format

Share Document