By Frederik W. Wiegel
Is it now not sheer foolishness to attempt to use the equipment of theoretical physics to organic buildings? Physics flowered since it constrained itself to the examine of extremely simple platforms; nonetheless, the essence of "living issues" turns out to need to do with the extraordinary intricacy in their constitution. Is it a hopeless endeavour to try to carry the 2 jointly, or should still one attempt however? so much of my colleagues in theoretical physics consider one are not waste one's time and stick with "the reliable outdated hydrogen atom", yet a few of them consider one may still try out anyways. This minority standpoint was once shared via Bohr within the thirties, Schrödinger within the fourties, Delbrück within the fifties and sixties, PurceIl within the seventies, and so forth. the speculation of chemoreception represents just a very small a part of this enormous clinical query. Its research was once begun by way of Delbriick and others within the fifties. i used to be brought to those difficulties through Charles DeLisi, in the course of a trip to the nationwide Institutes of future health in the summertime of 1980. in the course of the following decade I had the excitement to collaborate with George Bell, Byron Goldstein, Alan Perelson and others on the Los Alamos nationwide Laboratory. We studied a large choice of questions, a few of them suitable to the idea of chemoreception. i'm thankful to them, either for the excitement which our joint learn consistently supplies to me, as weIl as for his or her friendship and hospitality.
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5] B. W. Wiege!. The effect of receptor clustering on diffusion Iimited forward rate constants. Biophys. J. 43 (1983) 121-125. J. W. Wiegel and B. Goldstein. Forward rate constants for receptor clusters: variational methods for upper and lower bounds. Biophys. Chem. 20 (1984) 237248. R. Smythe. Static and Oynamic Electricity (McGraw-Hill, New York, 1968). [8] J. Beekwilder. Toetsing van de toepasbaarheid van de variatiemethode op chemoreceptie: berekeningen aan de ligandenstroom naar hemoglobine.
7) E n This partial differential equation generalizes a result of ref. 34] to the case of external forces. The boundary conditions for T are the same as those for the eigenfunctions tP n , as can be seen from eq. 6. As an example of this formalism consider the mean time till capture for a single, perfectly absorbing spherical cell with freely diffusing ligands. 11) T There is of course an abundance of other geometries for which the mean time till thecapture of a ligand can be ca1culated from eq.
8) 1 for the equilibrium distribution of the ligands over the available part of space. -Jl i 1 + e 1 = N. 8), which was found previously by Ryan et a1. [10], shows a formal similarity with the Fermi-Dirac distribution. This similarity is fortuitous as the ligands can be treated as distinguishable, classical particles rather than as fermions which are indistinguishable quantum particles. (c) If the ligands are described by a local number density c(l,t), as has to be done in a diffusion-equation approach, the relation between their equilibrium density c(t,oo) and n*i is given by c(7i'oo) * n· = _1_ = a·3 a 3 g.