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Parameterization of Force-Field 
Jose Luis Guayllas Sarango1 
1 
Escuela Superior Politecnica de Chimborazo 
1 
physics@hotmail.es 
Abstract-A procedure for the parametrization ie classical molecular mechanics which are based on the same force fields which 
in turn is determined at atomic level without considering motion of electrons occurs. The parameterization can be in terms of 
binding and non-binding terms depending on the software that will be used which take different parameters in order to adjust the 
model to simulate the posterior want to try to get results commensurate with their configuration (parameterization). This paper 
describes the parameterization and softwares as AMBER and CHARM used. 
Index Terms—Parameterization,Force Field, AMBER, CHARM. 
I. INTRODUCTION 
Force-field parameter refers to ways of taking certain 
Avalues or keep them constant values for the calculation is 
not necessary to take them into account. A parameter is 
nothing but a fact that is taken as needed to analyze or 
evaluate a situation. From the parameter, a given 
circumstance can be understood or placed in perspective.[1,2] 
The determination of the parameters of the force field is the 
key step in the development of a force-field. The current force 
fields have been carefully parameterized using experimental 
data and quantum calculations on model used as reference 
systems. This ensures the quality of later classical calculations 
and its ability to reproduce the experimental values. There are 
many fields of frames developed forces with different 
application, that is, that have been designed to treat various 
molecular systems. You can find force fields to study poly 
peptides and proteins, nucleic acids others to study, to study 
other small organic compounds, etc..[3] 
In this w ork, dif ferent parameters that use the sof tw are as 
AMBER and CHARM are essent ially useful for describing the force 
f ields corresponding to link or not link terms of the Molecular 
Mechanics is based on classical terms are explained. 
II. WHAT IS PARAMETERIZATION 
To know that is a parameterization can start with defining 
Configuring, which can also cover many concepts from differ-ent 
points of view as: Math, statistics, chemistry, which have a 
concept according to its nature so we will try to define a formal 
way. It refers to the possibility that the implementation allows 
modifying specific aspects of their funcionamiento.Debido to 
accounting systems this possibility is more limited than in the 
general purpose, the user must not acquire applications that 
include incompatible with rigidities their needs. In the case of 
custom applications, the user must decide on significant issues 
i n the design of the software (AMBER), (CHARM). [4,5] 
Much of the functionality of the system is based on a 
set of values that directly affect their behavior, why then 
Manuscript received July 2, 2014; revised July 9, 2014. Corresponding 
author: Jose´ Luis Guayllas Sarango (email: physics@hotmail.es. 
personalization should proceed with the configuration of 
the system, once the implanter known customer process 
proceeds to configure the system for it to adapt as much 
as possible, processes and customer requirements. 
III. FORCE-FIELD 
The force field In the classical methods the Hamiltonian is 
expressed by simple equations that depend on the nuclear 
positions forming the force field. This can be defined as the 
empirical potential energy dependency relative to the geometry 
of the core, where the impact of the electrons is implicitly 
entered using a set of parameters . These effective potential 
allows to study large systems provided there is no disruption of 
covalent bonds or drastic changes in the electronic distribution. 
For nucleic acids, the most widely used force fields are 
AMBER (28) and CHARMM (29), which have been able to 
replicate structures and macroscopic properties such as recent 
reviews of the field (10, 30 are shown, 32). According to the 
data, the best results for the study of canonical and unusual 
forms of nucleic acids obtained with the AMBER force field 
(33-35), which has been used in this work.[6] 
IV. PARAMETERIZATION FORCE-FIELD 
The force field over assign functionality gives characteristic 
parameters for each type of atom. A force field include various 
parameters for the oxygen atom of carbonyl and hydroxyl. 
The parameter set includes values for atomic mass, van der 
Waals radius and partial charge of individual atoms, also 
equilibrium values of bond lengths, angles and dihedral angles 
of pairs, triplets, quadruplets and bonded atoms, but the 
values corresponding to the effective spring constant for each 
potential.[7] Mos t current force fields us e a ”fixed charge” 
which assigns each atom a single value for the atomic charge 
is not affected by the local electrostatic environment, proposed 
developments in force fields are the next generation of models 
incorporating polarizable in which the charge of a particle is 
influenced by electrostatic interactions with its neighbors. For 
example, the polarizability can be approximated by introducing 
induced dipoles, or may also be represented by
Drude particles, or without mass-load they carry, virtual points 
connected by harmonic oscillator potential to each polarizable 
atom. The introduction of the polarizability in a force field has 
been inhibited by the high associated computational cost when 
it comes to calculating the local electrostatic field.[8] Although 
many molecular simulations of biological systems involving 
macromolecules such as proteins, DNA and RNA, the 
parameters for a given type of atom are generally derived from 
observations on small organic molecules that are more 
amenable to experimental studies and quantum calculations. 
The different fields of force may be derived from different types 
of experimental data, such as the enthalpy of vaporiza-tion 
(Optimized Potential for Liquid 40 Simulations (OPLS)), 
sublimation enthalpy, dipole moments, or several parameters 
Spectroscopic. 
May be experimental or theoretical thereof who are 
involved under the terms of bond and non-bond terms 
as the group to which these relate. 
A. Terms bonding 
Also know n as exper imental parameterization, it is custom-ary 
to use data f rom IR, Raman, NMR, X-ray or neutron dif f raction. In 
terms of torque is common to use a quantum parameter ization 
because of the absence of experimental data. 
B. Terms nonbonding 
They are also considered as a theoretical 
parameterization in which you can find as the electrostatic 
energy, the energy of Van der Waals and solvent. 
1) The electrostatic energy 
Partial loads are obtained from a quantum parameterization. 
In early versions of the AMBER force field ESP method, which 
consists in adjusting the quantum electrostatic potential 
determined in a set of points around the molecule was used. 
However, inaccurate levels of quantum calculation (HF/STO- 
3G), which gave poor results, particularly nucleic acids sub-sequent 
versions calculation HF/6-31G (d) were used as refer-ence 
is used, it tends to overestimate the dipole moments and 
thus simulating the polarizing effect of the water. In parallel, 
the RESP methodology is introduced to solve certain devia-tions 
present in loads of buried atoms. In most current AMBER 
(2002) settings, very high levels of calculation (B3LYP/cc-pVTZ) 
with multicentric load representations incorporating 
permanent polarization effect, in addition to introducing the 
induced polarization are used. These force fields have not yet 
been widely applied to the study of nucleic acids.[9] 
2) The van der Waals energy 
The parameters can be obtained both quantum 
mechan-ical and experimental data. Theoretically you 
should get for each different pai r of atoms. However, the 
combinatory rules Lorentz-Berthelot, where the collision 
diameter exits the arithmetic mean and the well depth of 
t he geometric mean to apply the atoms interactional. 
3) The solvent 
In the simulations performed water occurs explicitly models 
using TIP3P and SPC. This shows that the water molecule is 
rigid loads empirically derived and is considered a single 
2 
point of van der Waals interaction. Though these models 
are simple detailing accuracy conclude that the 
properties of water in conventional simulations are high. 
V. METHOLOGY 
A. AMBER 
Our aim is to work with the AMBER force field, defined 
by the energy function. 
Which consists of terms for bonds, angles, dihedrals, van 
der Waals, and electrostatics. For most systems, these terms 
are derived with the aid of the software Antechamber using 
either an AMBER amino acid force field or the general AMBER 
force field (GAFF). Antechamber assigns terms based on con-nectivity, 
and generally the parameters work well for organic 
systems. However, for metal complexes and for systems with 
features not represented in the standard library set, many 
terms are either unassigned or are inaccurate (and need to be 
redone) QM Frequency Calculation for Bonds and Angles. To 
obtain unassigned bond and angle terms, a sequence of 
energy calculations needs to be done at both the QM and MM 
levels. The difference between the potential energy surfaces 
can then be fit to determine the harmonic constants. However, 
this is generally a computationally expensive procedure. More 
efficiently, these terms can be determined from a single 
frequency calculation with the minimum energy state structure. 
As with a relaxed scan, the vibrational frequencies can be 
computed at both the QM level and the MM level, so that the 
effects already present in the force field can be removed. 
B. CHARMM 
The force field parameters are developed at the restricted 
Hartree-Fock (RHF) ab initio level of theory with the basis set 
in consistency with the CHARMM parameterization of the 
c35b2 release. All ab initio calculations are performed with the 
Gaussian03 package revision, whereas classical force field 
potential energies are computed with the NAMD package , 
which is also used for the evaluative MD simulations. The acid 
dissociation constant (pKa) of rosiglitazone is estimated 
with ALOGPS. 
There are several versions of the CHARMM force 
f ield available from the MacKerrell website. Don?t 
let this confuse you! Most commonly you will see 
CHARMM19,CHARMM22, or CHARMM27. CHARMM22 
(released in 1991) and CHARMM27 (released in 1999) are the 
most recent versions of the force field. For purely protein 
systems, the two are equivalent. However, if you are 
simulating any nucleic acids, be aware that CHARMM27 has 
been optimized for simulating DNA and should be used. 
VI. CONCLUSION 
In this paper, we have presented a method for parametrizing 
as AMBER force field that is largely independent of the choice 
of coordinates. The method requires only a frequency 
calculation and is able to determine unknown bond or angle 
force constants from an existing partial parametrization. A 
corresponding Python software package called parafreq was
3 
developed that allows researchers to easily determine 
force constants for any system. 
CHARMM based model has been derived for molecular 
simulations, an important nuclear receptor ligand, relevant 
pharmaceutical applications in the treatment of type II dia-betes. 
The proposed force field allows MD studies of 
rosigli-tazone and interactions with other compounds TZD 
PPARC nuclear receptor and other proteins and other 
biomolecular systems under CHARMM. 
REFERENCES 
[1] DeGrado, W. F.; Summa, C. M.; Pavone, V.; Nastri, F.; Lombardi, 
A. De novo design and structural characterization of proteins and 
metallopro-teins. Annu. Rev. Biochem. 1999, 68, 779?819 
[2] Vaiana, A. C.; Cournia, Z.; Costescu, I. B.; Smith, J. C. AFMM: A 
molecular mechanics force f ield vibrational parametrization 
program. Comput. Phys. Commun. 2005, 167 (1), 34?42 
[3] Liang, G. Y.; Fox, P. C.; Bowen, J. P. Parameter analy sis and ref inement 
toolkit system and its application in MM3 parameterization f or phosphine 
and its deriv ativ es. J. Comput. Chem. 1996, 17 (8), 940? 953. 
[4] Faller, R.; Schmitz, H.; Biermann, O.; Muller-Plathe, F. Automatic 
parameterization of force f ields for liquids by simplex optimization. 
J. Comput. Chem. 1999, 20 (10), 1009?1017. 
[5] Wang, J. M.; Kollman, P. A. Automatic parameterization of force 
f ield by systematic search and genetic algorithms. J. Comput. 
Chem. 2001, 22 (12), 1219?1228. 
[6] Tafipolsky, M.; Schmid, R. Systematic First Principles Parameterization 
of Force Fields for Metal -Organic Frameworks using a Genetic 
Algorithm Approach. J. Phys. Chem. B 2009, 113 (5), 1341?1352. 
[7] Hu, L. H.; Ryde, U. Comparison of Methods to Obtain ForceField 
Parameters for Metal Sites. J. Chem. Theory Comput. 2011, 7 (8), 
2452?2463. 
[8] Seminario, J. M. Calculation of intramolecular force fields from second-derivative 
tensors. Int. J. Quantum Chem. 1996, 60 (7), 1271? 1277. 
[9] Fox, T.; Kollman, P. A. Application of the RESP methodology in 
the parametrization of organic solvents. J. Phys. Chem. B 1998, 
102 (41), 8070?8079 
[10] Suarez, D.; Merz, K. M. Molecular dynamics simulations of the 
mononuclear zinc-beta-lactamase f rom Bacillus cereus. J. Am. 
Chem. Soc. 2001, 123 (16), 3759?3770. 
[11] Hoops, S. C.; Anderson, K. W.; Merz, K. M. Force-Field Design for 
Metalloproteins. J. Am. Chem. Soc. 1991, 113 (22), 8262?8270. 
[12] Lin, F.; Wang, R. Systematic Derivation of AMBER Force Field 
Param-eters Applicable to Zinc-Containing Systems. J. Chem. 
Theory Comput. 2010, 6 (6), 1852?1870.

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Parameterization of force field

  • 1. 1 Parameterization of Force-Field Jose Luis Guayllas Sarango1 1 Escuela Superior Politecnica de Chimborazo 1 physics@hotmail.es Abstract-A procedure for the parametrization ie classical molecular mechanics which are based on the same force fields which in turn is determined at atomic level without considering motion of electrons occurs. The parameterization can be in terms of binding and non-binding terms depending on the software that will be used which take different parameters in order to adjust the model to simulate the posterior want to try to get results commensurate with their configuration (parameterization). This paper describes the parameterization and softwares as AMBER and CHARM used. Index Terms—Parameterization,Force Field, AMBER, CHARM. I. INTRODUCTION Force-field parameter refers to ways of taking certain Avalues or keep them constant values for the calculation is not necessary to take them into account. A parameter is nothing but a fact that is taken as needed to analyze or evaluate a situation. From the parameter, a given circumstance can be understood or placed in perspective.[1,2] The determination of the parameters of the force field is the key step in the development of a force-field. The current force fields have been carefully parameterized using experimental data and quantum calculations on model used as reference systems. This ensures the quality of later classical calculations and its ability to reproduce the experimental values. There are many fields of frames developed forces with different application, that is, that have been designed to treat various molecular systems. You can find force fields to study poly peptides and proteins, nucleic acids others to study, to study other small organic compounds, etc..[3] In this w ork, dif ferent parameters that use the sof tw are as AMBER and CHARM are essent ially useful for describing the force f ields corresponding to link or not link terms of the Molecular Mechanics is based on classical terms are explained. II. WHAT IS PARAMETERIZATION To know that is a parameterization can start with defining Configuring, which can also cover many concepts from differ-ent points of view as: Math, statistics, chemistry, which have a concept according to its nature so we will try to define a formal way. It refers to the possibility that the implementation allows modifying specific aspects of their funcionamiento.Debido to accounting systems this possibility is more limited than in the general purpose, the user must not acquire applications that include incompatible with rigidities their needs. In the case of custom applications, the user must decide on significant issues i n the design of the software (AMBER), (CHARM). [4,5] Much of the functionality of the system is based on a set of values that directly affect their behavior, why then Manuscript received July 2, 2014; revised July 9, 2014. Corresponding author: Jose´ Luis Guayllas Sarango (email: physics@hotmail.es. personalization should proceed with the configuration of the system, once the implanter known customer process proceeds to configure the system for it to adapt as much as possible, processes and customer requirements. III. FORCE-FIELD The force field In the classical methods the Hamiltonian is expressed by simple equations that depend on the nuclear positions forming the force field. This can be defined as the empirical potential energy dependency relative to the geometry of the core, where the impact of the electrons is implicitly entered using a set of parameters . These effective potential allows to study large systems provided there is no disruption of covalent bonds or drastic changes in the electronic distribution. For nucleic acids, the most widely used force fields are AMBER (28) and CHARMM (29), which have been able to replicate structures and macroscopic properties such as recent reviews of the field (10, 30 are shown, 32). According to the data, the best results for the study of canonical and unusual forms of nucleic acids obtained with the AMBER force field (33-35), which has been used in this work.[6] IV. PARAMETERIZATION FORCE-FIELD The force field over assign functionality gives characteristic parameters for each type of atom. A force field include various parameters for the oxygen atom of carbonyl and hydroxyl. The parameter set includes values for atomic mass, van der Waals radius and partial charge of individual atoms, also equilibrium values of bond lengths, angles and dihedral angles of pairs, triplets, quadruplets and bonded atoms, but the values corresponding to the effective spring constant for each potential.[7] Mos t current force fields us e a ”fixed charge” which assigns each atom a single value for the atomic charge is not affected by the local electrostatic environment, proposed developments in force fields are the next generation of models incorporating polarizable in which the charge of a particle is influenced by electrostatic interactions with its neighbors. For example, the polarizability can be approximated by introducing induced dipoles, or may also be represented by
  • 2. Drude particles, or without mass-load they carry, virtual points connected by harmonic oscillator potential to each polarizable atom. The introduction of the polarizability in a force field has been inhibited by the high associated computational cost when it comes to calculating the local electrostatic field.[8] Although many molecular simulations of biological systems involving macromolecules such as proteins, DNA and RNA, the parameters for a given type of atom are generally derived from observations on small organic molecules that are more amenable to experimental studies and quantum calculations. The different fields of force may be derived from different types of experimental data, such as the enthalpy of vaporiza-tion (Optimized Potential for Liquid 40 Simulations (OPLS)), sublimation enthalpy, dipole moments, or several parameters Spectroscopic. May be experimental or theoretical thereof who are involved under the terms of bond and non-bond terms as the group to which these relate. A. Terms bonding Also know n as exper imental parameterization, it is custom-ary to use data f rom IR, Raman, NMR, X-ray or neutron dif f raction. In terms of torque is common to use a quantum parameter ization because of the absence of experimental data. B. Terms nonbonding They are also considered as a theoretical parameterization in which you can find as the electrostatic energy, the energy of Van der Waals and solvent. 1) The electrostatic energy Partial loads are obtained from a quantum parameterization. In early versions of the AMBER force field ESP method, which consists in adjusting the quantum electrostatic potential determined in a set of points around the molecule was used. However, inaccurate levels of quantum calculation (HF/STO- 3G), which gave poor results, particularly nucleic acids sub-sequent versions calculation HF/6-31G (d) were used as refer-ence is used, it tends to overestimate the dipole moments and thus simulating the polarizing effect of the water. In parallel, the RESP methodology is introduced to solve certain devia-tions present in loads of buried atoms. In most current AMBER (2002) settings, very high levels of calculation (B3LYP/cc-pVTZ) with multicentric load representations incorporating permanent polarization effect, in addition to introducing the induced polarization are used. These force fields have not yet been widely applied to the study of nucleic acids.[9] 2) The van der Waals energy The parameters can be obtained both quantum mechan-ical and experimental data. Theoretically you should get for each different pai r of atoms. However, the combinatory rules Lorentz-Berthelot, where the collision diameter exits the arithmetic mean and the well depth of t he geometric mean to apply the atoms interactional. 3) The solvent In the simulations performed water occurs explicitly models using TIP3P and SPC. This shows that the water molecule is rigid loads empirically derived and is considered a single 2 point of van der Waals interaction. Though these models are simple detailing accuracy conclude that the properties of water in conventional simulations are high. V. METHOLOGY A. AMBER Our aim is to work with the AMBER force field, defined by the energy function. Which consists of terms for bonds, angles, dihedrals, van der Waals, and electrostatics. For most systems, these terms are derived with the aid of the software Antechamber using either an AMBER amino acid force field or the general AMBER force field (GAFF). Antechamber assigns terms based on con-nectivity, and generally the parameters work well for organic systems. However, for metal complexes and for systems with features not represented in the standard library set, many terms are either unassigned or are inaccurate (and need to be redone) QM Frequency Calculation for Bonds and Angles. To obtain unassigned bond and angle terms, a sequence of energy calculations needs to be done at both the QM and MM levels. The difference between the potential energy surfaces can then be fit to determine the harmonic constants. However, this is generally a computationally expensive procedure. More efficiently, these terms can be determined from a single frequency calculation with the minimum energy state structure. As with a relaxed scan, the vibrational frequencies can be computed at both the QM level and the MM level, so that the effects already present in the force field can be removed. B. CHARMM The force field parameters are developed at the restricted Hartree-Fock (RHF) ab initio level of theory with the basis set in consistency with the CHARMM parameterization of the c35b2 release. All ab initio calculations are performed with the Gaussian03 package revision, whereas classical force field potential energies are computed with the NAMD package , which is also used for the evaluative MD simulations. The acid dissociation constant (pKa) of rosiglitazone is estimated with ALOGPS. There are several versions of the CHARMM force f ield available from the MacKerrell website. Don?t let this confuse you! Most commonly you will see CHARMM19,CHARMM22, or CHARMM27. CHARMM22 (released in 1991) and CHARMM27 (released in 1999) are the most recent versions of the force field. For purely protein systems, the two are equivalent. However, if you are simulating any nucleic acids, be aware that CHARMM27 has been optimized for simulating DNA and should be used. VI. CONCLUSION In this paper, we have presented a method for parametrizing as AMBER force field that is largely independent of the choice of coordinates. The method requires only a frequency calculation and is able to determine unknown bond or angle force constants from an existing partial parametrization. A corresponding Python software package called parafreq was
  • 3. 3 developed that allows researchers to easily determine force constants for any system. CHARMM based model has been derived for molecular simulations, an important nuclear receptor ligand, relevant pharmaceutical applications in the treatment of type II dia-betes. The proposed force field allows MD studies of rosigli-tazone and interactions with other compounds TZD PPARC nuclear receptor and other proteins and other biomolecular systems under CHARMM. REFERENCES [1] DeGrado, W. F.; Summa, C. M.; Pavone, V.; Nastri, F.; Lombardi, A. De novo design and structural characterization of proteins and metallopro-teins. Annu. Rev. Biochem. 1999, 68, 779?819 [2] Vaiana, A. C.; Cournia, Z.; Costescu, I. B.; Smith, J. C. AFMM: A molecular mechanics force f ield vibrational parametrization program. Comput. Phys. Commun. 2005, 167 (1), 34?42 [3] Liang, G. Y.; Fox, P. C.; Bowen, J. P. Parameter analy sis and ref inement toolkit system and its application in MM3 parameterization f or phosphine and its deriv ativ es. J. Comput. Chem. 1996, 17 (8), 940? 953. [4] Faller, R.; Schmitz, H.; Biermann, O.; Muller-Plathe, F. Automatic parameterization of force f ields for liquids by simplex optimization. J. Comput. Chem. 1999, 20 (10), 1009?1017. [5] Wang, J. M.; Kollman, P. A. Automatic parameterization of force f ield by systematic search and genetic algorithms. J. Comput. Chem. 2001, 22 (12), 1219?1228. [6] Tafipolsky, M.; Schmid, R. Systematic First Principles Parameterization of Force Fields for Metal -Organic Frameworks using a Genetic Algorithm Approach. J. Phys. Chem. B 2009, 113 (5), 1341?1352. [7] Hu, L. H.; Ryde, U. Comparison of Methods to Obtain ForceField Parameters for Metal Sites. J. Chem. Theory Comput. 2011, 7 (8), 2452?2463. [8] Seminario, J. M. Calculation of intramolecular force fields from second-derivative tensors. Int. J. Quantum Chem. 1996, 60 (7), 1271? 1277. [9] Fox, T.; Kollman, P. A. Application of the RESP methodology in the parametrization of organic solvents. J. Phys. Chem. B 1998, 102 (41), 8070?8079 [10] Suarez, D.; Merz, K. M. Molecular dynamics simulations of the mononuclear zinc-beta-lactamase f rom Bacillus cereus. J. Am. Chem. Soc. 2001, 123 (16), 3759?3770. [11] Hoops, S. C.; Anderson, K. W.; Merz, K. M. Force-Field Design for Metalloproteins. J. Am. Chem. Soc. 1991, 113 (22), 8262?8270. [12] Lin, F.; Wang, R. Systematic Derivation of AMBER Force Field Param-eters Applicable to Zinc-Containing Systems. J. Chem. Theory Comput. 2010, 6 (6), 1852?1870.