Cited by 1,758

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Physics of chemoreception

Berg, H.C., Purcell, E.M.·1977·Biophysical Journal

Abstract

Statistical fluctuations limit the precision with which a microorganism can, in a given time T, determine the concentration of a chemoattractant in the surrounding medium. The best a cell can do is to monitor continually the state of occupation of receptors distributed over its surface. For nearly optimum performance only a small fraction of the surface need be specifically adsorbing. The probability that a molecule that has collided with the cell will find a receptor is Ns/(Ns + pi a), if N receptors, each with a binding site of radius s, are evenly distributed over a cell of radius a. There is ample room for many indenpendent systems of specific receptors. The adsorption rate for molecules of moderate size cannot be significantly enhanced by motion of the cell or by stirring of the medium by the cell. The least fractional error attainable in the determination of a concentration c is approximately (TcaD) - 1/2, where D is diffusion constant of the attractant. The number of specific receptors needed to attain such precision is about a/s. Data on bacteriophage absorption, bacterial chemotaxis, and chemotaxis in a cellular slime mold are evaluated. The chemotactic sensitivity of Escherichia coli approaches that of the cell of optimum design.

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Crossref · 10.1016/s0006-3495(77)85544-6

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1 of 1 references verified0 citation errors · 0 not checkable

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  • This multiplicity was chosen following Drexler's suggestion that tenfold redundancy in nanomechanical systems should suffice to reduce system failure to negligible levels.

    “This multiplicity was chosen following Drexler's suggestion [ 11 that tenfold redundancy in nanomechanical systems should suffice to reduce system failure to negligible levels.”
  • Molecular sorting rotors have been proposed that would be ideal for conveying gas molecules into and out of pressurized microvessels.

    “Molecular sorting rotors have been proposed [ 11 that would be ideal for this task (Figure 1).”
  • Assuming ~500 bits/sec-nm3 and 10^18 bit/sec-watt for nanomechanical computers, and ~5 bits/nm3 for nanomechanical mass storage systems, each 10^4 bit/sec CPU is allocated a volume of ~10^4 nm3 and consumes ~10^-14 watt (3% of the power output of one glucose engine), while 500 kilobits of memory requires ~10^5 nm3.

    “Assuming -500 bits/sec-nm3 and 1018 bitdsec-watt for nanomechanical computers, and -5 bits/ nmA3 for nanomechanical mass storage systems [ 11, each lo4 bit/sec CPU is allocated a volume of -104 nm3 and consumes -10-14 watt (3% of the power output of one glucose engine), while 500 kilobits of memory requires -105 nm3.”
  • Molecular sorting rotors can be designed from about 10^5 atoms (including housing), measuring roughly 7 nm x 14 nm x 14 nm in size with a mass of 2 x 10^-21 kg.

    “Molecular sorting rotors can be designed from about 105 atoms (including the housing), measuring roughly 7 nm x 14 nm x 14 nm in size with a mass of 2 x 10-21 kg.”
  • Taking Drexler's estimate of 10^9 watt/m3 for mechanochemical power conversion, a glucose engine could measure 42 nm x 42 nm x 175 nm in size, comprising 10^8 atoms (~10^-18 kg).

    “Taking Drexler's estimate of 109 wattdm3 for mechanochemical power conversion [ 11, a glucose engine could measure 42 nm x 42 nm x 175 nm in size, comprising 108 atoms (-10-l8 kg).”

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Metadata

Authors
Berg, H. C., & Purcell, E. M.
Venue
Biophysical Journal
Publisher
Elsevier BV
Published
1977-11
Volume
20
Issue
2
Pages
193-219
ISSN
0006-3495
Cited by
1,758
References
1
Language
en

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