What is it about?

The physical theory of measuring just one molecule in dilute solutions or live cells without immobilization or hydrodynamic flow, i.e., the self-same molecule, is mainly based on two facts: i) the existence of a continuity equation and ii) the existence of a probability current [4]. Probabilistic models are of great value in the description of single molecules but their ultimate justification rests on approximations and experimental studies.

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Why is it important?

This new development may lead to a clarification of concepts used in widely different fields of medical genomics and proteomics such as biochemistry, molecular biology, and immunology. In all these fields, we find again and again the same questions: what is the meaning of single-molecule approaches? Are they just another tool? Can we be sure of measuring just one molecule in dilute solutions or live cells without immobilization or significant hydrodynamic flow? The advantages of the physical 'Theory of Single-Molecule Biophysics & Biochemistry Based On Individually Diffusing Molecules in Dilute Liquids and Live Cells' are evident: The 'SINGLE-MOLECULE DEMON' (single-molecule ratchet) in IMAGING/MICROSCOPY/SUPER-RESOLUTION MICROSCOPY (NANOSCOPY) and SPECTROSCOPY: Dilute Liquids and Live Cells •https://www.growkudos.com/publications/10.2174%252F138920111795470949/reader •https://www.linkedin.com/pulse/how-get-high-single-molecule-biophysics-biochemistry-data-zeno?trk=public_profile_article_view The thermodynamic Single-Molecule DEMON: How to avoid him in the measurements of dilute liquids and live cells without immobilization or flow: https://www.linkedin.com/pulse/thermodynamic-single-molecule-demon-zeno-földes-papp/?trk=public_profile_article_view


According to the Polya theorem [11], the probability of ultimate return to the starting point for any individual molecule (lattice) is 1 in one dimension and two dimensions and less than 1 in three or more dimension[11,12]. This is the generalization of ordinary random walks of “individual molecules” for studying the distribution of end points. The distribution of any coordinate of the end point of a walk approaches a Gaussian value asymptotically in all dimensions. In addition, the distributions of different Cartesian coordinates (x, y, z), rectangular coordinates, of the end point are independent and the distribution of the end point in space is thus spherically symmetrical. Nevertheless, the analytical approach taken with the special case of the novel self-same molecule likelihood estimators is very useful if we do not proceed to the infinitive limit of collection time t →∞, i.e., if we restrict ourselves to finite measurement times as demonstrated in this entry and the related original articles[1–9] (Fölldes-Papp, Personal communication).The smaller the measured experimental N value with N < 1, the more likely is the condition for the self-same single-molecule regime in dilute solutions or live cells without immobilization or hydrodynamic flow.

Professor Zeno Földes-Papp [Biochemist, Gerontologist (Biochemiker, Geriater)]: Single-Molecule Biophysics & Biochemistry Based On the Stochastic Nature of Diffusion. -- I hope that my humble scientific work will be well received by the communities of single-molecule imaging and spectroscopy and by all users of these technologies as well as biotechnologies in the various and different disciplines:
Head of Geriatric Medicine (Medical Director of the Geriatric Service: Sektionsleitung Geriatrie) at Asklepios Klinikum Lindau (Bodensee), Bavaria, Germany

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This page is a summary of: Single-Phase Single-Molecule Fluorescence Correlation Spectroscopy (SPSM-FCS), December 2004, Taylor & Francis, DOI: 10.1081/e-emgp-120042041.
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