La simulazione di Dinamica Molecolare

  • Lex. I. Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nili quatenus a viribus impressis cogitur statum illum mutare.
  • Lex. II. Muationem motus proportionalem esse vi motrici impressae, et fieri fecundum lineam rectam qua vis illa imprimitur.
  • Lex. III. Actioni contrariam semper et equalem esse reactionem: sive corporum duorum actiones in se mutuo semper esse aequales et in partes contrarias dirigi.

Isaac Newton. Philosophiae Naturalis Principia Mathematica. London, 1686.

 

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Molecular interactions and force fields

At quite uncertain times and places,
The atoms left their heavenly path,
And by fortuitous embraces,
Engendered all that being hath.
And though they seem to cling together,
And form ‘associations’ here,
Yet, soon or late, they burst their tether,
And through the depths of space career.
James Clerk Maxwell

From ‘Molecular Evolution’, Nature, 8, 1873. In Lewis Campbell and William Garnett, The Life of James Clerk Maxwell (1882), 637.

Molecular forces are originated by the interactions of the electronic clouds of the atoms in the molecular systems. A full treatment of these interactions also accounting for the dynamics of the nuclei requires the solution of the time-dependent Schroedinger equation (the top of the modeling pyramid). This approach would provide a more accurate physical representation of the behavior of the systems in time. However, as pointed before, nowadays this approach is impracticable due to the enormous amount of computer resources need to accomplish this task even for relatively small peptides in water systems. The solution to this impasse is the application of the so-called lex parsimoniae or Ockham’s razor, a powerful approach in problem-solving to get rid of the redundant complexity. In this case, the law of parsimony suggests changing the level of scale and account of the hidden degree of freedom using an effective or mean field potential.

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PERL Programming III: Modelling DNA Thermodynamics

After a long pause, the adventure in the PERL programming language series continues with another example of biophysics and molecular biology science application.This time, we are going to make a program to model the effect of the temperature on DNA stability in solution.

The effect of temperature DNA structure integrity plays an important role in molecular biology applications. For example, the DNA amplification method based on polymerase (the PCR method) is based on a series of temperature cycles to separate the two strand of DNA to replicate. DNA primers are used to initiate the process and the knowledge of their melting temperature (Tm) play an important role in optimizing the DNA amplification process.

The first attempts to create a model of DNA thermodynamics date back to the beginnings of 1960. Studies pionered by the groups of Zimm [1] and Tinoco [2], have shown that the relative stability of a double-stranded DNA molecule depends primarily on the nature of the nearest-neighbor bases along the sequence. This finding brought to the formulation of a simple mathematical model (called the nearest-neighbor (NN) model) to predict relative stabilities of double stranded DNA according to the nucleotide sequence [see Cantor]. Subseguently, the NN model was further improved by the contribution of several research groups. In particular, Santalucia and co-workers. proposed a set of parameters for the NN model that provides an excellent prediction of the thermodynamic properties of short DNA homo oligonucleotides and are commonly used to calculate the stability of DNA primers used for PCR applications.

In this third article on PERL programming, I will give some indication on how to implement a simple version of the NN model. To make more fancy the programming task, we are also going to provide the program with a simple Graphical user interface using PERL/Tk.

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La Spettroscopia XANES

Questo blog contiene un estratto del capitolo introduttivo sulla spettroscopia XANES della mia tesi di laurea che discussi 25 anni fa, per cui gli argomenti non sono molto aggiornati anche se il contenuto riportato è di carattere generale. 

Spettri di assorbimento di raggi X

Fino agli inizi del 1970 c’è stata una netta distinzione tra le tecniche di spettroscopia di assorbimento e quelle di diffrazione dei raggi X. La diffrazione era tradizionalmente considerata lo strumento più importante per la determinazione della struttura atomica di un composto, mentre l’assorbimento e l’emissione di raggi X erano usati per comprenderne la struttura elettronica. Continue reading

The Lignin Peroxidase

Lignin Peroxidase (LiP), a hemoprotein isolated from the ligninolytic cultures of the white-rot fungus Phenerochaete Chrysosporium is one of the most important lignin-degrading enzymes. We have investigated the dynamical and structural properties of lignin peroxidase and its Trp171Ala mutant in aqueous solution using MD simulations [1].

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Molecular Machines within us: The human neutrophil collagenase MMP8

Human neutrophil collagenase (HNC, MMP8) is one of the target enzymes for drug treatment of pathologic extracellular matrix degradation. Peptidomimetic inhibitors bind in the S-side of the enzyme active site occupying the S1 primary specificity pocket by their large hydrophobic side-chains. Continue reading

Molecular Machines within us: The Carbon Monoxide Migration in Sperm Whale Myoglobin

Myoglobin is a small ancient protein of ~150 amino acids specialized in the transport of respiratory gases to muscular tissues and back to the lungs of the superior organisms. Even though, it was one of the first protein having the three-dimensional structure solved using X-ray crystallography, the detail of the transport mechanism of gases in and out the active site is yet not completely understood. More recently, time-resolved x-ray studies have provided clues on the possible pockets in the protein interior where gases can transit but the detail of the migrations dynamics is unclear.

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Molecular Machines within us: The Nucleosome core particle

The nucleosome core particle (NCP) constitutes the basic structural unit of the eukaryotic chromatin. It consists of 147 base-pairs (bp) of DNA wrapped in a left-handed superhelix 1.65 times around a histone octamer. The octamer is formed by two copies of the histone proteins H2A, H2B, H3, and H4. Continue reading

Molecular Machines within us: The Citrate Synthase I

The citrate synthase is a model enzyme for the study of the dynamics of domain motions.  It is a key protein in the metabolic cycle of the cell (Krebs cycle) as it catalyzes the Claisen condensation of acetyl-coenzyme A with oxaloacetate, to form citrate and coenzyme A. The catalytic mechanism is very complex with many unknowns.  In most organisms its structure comprises two identical subunits.  Continue reading