Team:Slovenia/PROJECT/biosynthesis

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<!-- OD TU NAPREJ PIŠI BESEDILO -->
<!-- OD TU NAPREJ PIŠI BESEDILO -->
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<p>&nbsp;</p>
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<p><span style="font-size: 20px; line-height: 25px;">Introduction</span></p>
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<h2><br>Introduction</h2>
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<p>&nbsp;</p>
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Biosynthesis is an enzyme catalyzed process, occurring in living cells, by which simple substrate molecules are converted into more complex products. The process often consists of several steps, in which the product of one step is used as a substrate for the following step. In synthetic biology, research and engineering of biosynthetic pathways gains more and more attention every year. One of the first great stories in the field of synthetic biology was engineering the artificial biosynthetic pathway for antimalarial drug artemisinic acid production in <em>Saccharomyces cerevisae</em>&nbsp;yeast. Production of&nbsp; artemisinic acid in genetically modified yeasts was achieved modulating regulation of specific mevalonate pathway genes and by the introduction of genes for the biosynthetic pathway from <em>Artemisia annua</em>&nbsp;plant to yeast. Another great examples of biosynthetic pathway engineering are production of fatty esters (biodiesel), fatty alcohols, and waxes by genetically modified <em>Escherichia coli</em>. Genes from different organisms were combined into completely new pathway which was introduced to <em>Escherichia coli</em>&nbsp; to produce useful fuel directly from plant biomass.
+
Biosynthesis is an enzyme catalyzed process, occurring in living cells, by which simple substrate molecules are converted into more complex products. The process often consists of several steps, in which the product of one step is used as a substrate for the following step. In synthetic biology, research and engineering of biosynthetic pathways gains more and more attention every year. One of the first great stories in the field of synthetic biology was engineering the artificial biosynthetic pathway for antimalarial drug artemisinic acid production in <em>Saccharomyces cerevisae</em> yeast. Production of artemisinic acid in genetically modified yeasts was achieved modulating regulation of specific mevalonate pathway genes and by the introduction of genes for the biosynthetic pathway from <em>Artemisia annua</em> plant to yeast. Another great examples of biosynthetic pathway engineering are production of fatty esters (biodiesel), fatty alcohols, and waxes by genetically modified <em>Escherichia coli</em>. Genes from different organisms were combined into completely new pathway which was introduced to <em>Escherichia coli</em>&nbsp; to produce useful fuel directly from plant biomass.<br><br>
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<p>&nbsp;</p>
+
 
For industrial applications biosynthetic pathways composed of several enzymes should be engineered in a way to achieve high yield of the desired biosynthetic products. Various strategies for optimization have been undertaken so far, such as:
For industrial applications biosynthetic pathways composed of several enzymes should be engineered in a way to achieve high yield of the desired biosynthetic products. Various strategies for optimization have been undertaken so far, such as:
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<p>&nbsp;</p>
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<br>
<ul>
<ul>
<li>Increasing the pool of available substrate and/or overexpression of the enzymes of the limiting biosynthetic steps,</li>
<li>Increasing the pool of available substrate and/or overexpression of the enzymes of the limiting biosynthetic steps,</li>
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<li>Increasing the proximity of enzymes by assembling metabolic pathways on a protein scaffold.</li>
<li>Increasing the proximity of enzymes by assembling metabolic pathways on a protein scaffold.</li>
</ul>
</ul>
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<p>&nbsp;</p>
 
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<p>&nbsp;</p>
 
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<p><span style="font-size: 18px; line-height: 25px;">Scaffold-assisted biosynthetic pathway</span></p>
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<br>
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<p>&nbsp;</p>
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-
The last approach is in some way similar to solutions that nature has already evolved. In some natural biosynthetic pathways enzymes form larger complexes, which results in faster transport of intermediates from one enzyme to another. This strategy enables an organism to produce higher amounts of the final product with lower metabolic burden. Unstable and toxic intermediates can be protected from decay or can be neutralized, since they are immediately used by the next enzyme in the pathway.&nbsp;Experimental data has already shown on a case of resveratrol biosynthesis (Zhang et al., 2006) where fusing two enzymes together improves the efficiency of this particular biosynthetic pathway. However, fusing more than two enzymes may prove to be difficult on account of maintaining the functionality of the fusion protein, which is the reason that scaffolding is a better approach. A protein scaffold has already been used to improve the mevalonate pathway yield (Dueber et al. 2009). While there are many advantages of protein-based scaffold, this approach has some disadvantages. Three dimensional arrangement of polypeptides is unpredictable due to the flexibility of and between dimerization domains as represented in the scheme.&nbsp; Additionally each protein dimerization domain has different conditions under which it folds and forms the functional interaction. And perhaps the most important argument, there is a limited number of available weel-behaved protein dimerization domains available, while the biosynthetic pathways may comprise ten or more enzymes and synthetic bioengineers will want to engineer several pathways simultaneously.
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<p>&nbsp;</p>
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<p>&nbsp;</p>
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[[Image:Slo_dna_scafold1_1.jpg|frame|align|'''Schematic representation of advantages of DNA-guided biosynthetic scaffold. DNA imparts the linear order, while protein/polypeptide based scaffold predominantly clusters the biosynthetic enzymes without of particular order.
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<h2>Scaffold-assisted biosynthetic pathway</h2>
-
''']]
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-
<p>&nbsp;</p>
+
The last approach is in some way similar to solutions that nature has already evolved. In some natural biosynthetic pathways enzymes form larger complexes, which results in faster transport of intermediates from one enzyme to another. This strategy enables an organism to produce higher amounts of the final product with lower metabolic burden. Unstable and toxic intermediates can be protected from decay or can be neutralized, since they are immediately used by the next enzyme in the pathway. Experimental data has already shown on a case of resveratrol biosynthesis (Zhang et al., 2006) where fusing two enzymes together improves the efficiency of this particular biosynthetic pathway. However, fusing more than two enzymes may prove to be difficult on account of maintaining the functionality of the fusion protein, which is the reason that scaffolding is a better approach. A protein scaffold has already been used to improve the mevalonate pathway yield (Dueber et al. 2009). While there are many advantages of protein-based scaffold, this approach has some disadvantages. Three dimensional arrangement of polypeptides is unpredictable due to the flexibility of and between dimerization domains as represented in the scheme. Additionally each protein dimerization domain has different conditions under which it folds and forms the functional interaction. And perhaps the most important argument, there is a limited number of available weel-behaved protein dimerization domains available, while the biosynthetic pathways may comprise ten or more enzymes and synthetic bioengineers will want to engineer several pathways simultaneously.<br>
 +
 
 +
[[Image:Slo_dna_scafold1_1.jpg|thumb|center|700px|'''Figure 1:''' Schematic representation of advantages of DNA-guided biosynthetic scaffold. DNA imparts the linear order, while protein/polypeptide based scaffold predominantly clusters the biosynthetic enzymes without of particular order.
 +
]]
 +
 
 +
<br>
Keeping in mind all potential weaknesses of protein-based scaffolding, we came to an idea that DNA molecule could also be used as a scaffold for bringing biosynthetic pathway enzymes in the correct order. We further discussed the idea and fond out that DNA molecule in fact has several special advantages (see Table).
Keeping in mind all potential weaknesses of protein-based scaffolding, we came to an idea that DNA molecule could also be used as a scaffold for bringing biosynthetic pathway enzymes in the correct order. We further discussed the idea and fond out that DNA molecule in fact has several special advantages (see Table).
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<p>&nbsp;</p>
 
<ul>
<ul>
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<li>A large number of different DNA binding proteins exists in nature. Some of them, such as zinc fingers or TAL effectors, have modular structure and can be engineered to bind any given nucleotide sequence. There are already more than 700 experimentally tested zinc fingers available to choose from. Therefore DNA scaffolding offers virually unlimited number of distinct combinations.</li>
<li>A large number of different DNA binding proteins exists in nature. Some of them, such as zinc fingers or TAL effectors, have modular structure and can be engineered to bind any given nucleotide sequence. There are already more than 700 experimentally tested zinc fingers available to choose from. Therefore DNA scaffolding offers virually unlimited number of distinct combinations.</li>
</ul>
</ul>
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<p>&nbsp;</p>
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<br>
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<p>&nbsp;</p>
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<h2>Comparison od advantages and disadvantages between DNA- and protein-based biosynthetic scaffold</h2>
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<p><strong>Comparison od advantages and disadvantages between DNA and protein-based biosynthetic scaffold</strong></p>
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<table style="border: 0px;" border="0" width="842">
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<table style="border: 0px;text-align:left;background-color:transparent" border="0" width="720" height="270">
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<tr>
<td style="border: 1px solid #bbbbbb;">&nbsp;</td>
<td style="border: 1px solid #bbbbbb;">&nbsp;</td>
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<td style="border: 1px solid #bbbbbb;">Signal transduction domains usually do not interfere with bacteria</td>
<td style="border: 1px solid #bbbbbb;">Signal transduction domains usually do not interfere with bacteria</td>
</tr>
</tr>
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</table>
</table>
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<p><strong>&nbsp;</strong>&nbsp;</p>
 
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<p>&nbsp;</p>
 
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<p><strong><span style="font-family: Arial,'sans-serif'; color: #444444; font-size: 100%;" lang="en-us" xml:lang="en-us"><span style="font-size: 115%;">Selection of the biosynthetic pathways</span><br /></span></strong></p>
 
-
<p><strong>&nbsp;</strong></p>
 
-
<p><span style="font-family: Arial,'sans-serif';" lang="en-us" xml:lang="en-us">Registry of standard  biological parts comprises several biosynthetic pathways. Two of the more characterised pathways are violacein&nbsp; and carotenoid biosynthetic pathway. Violacein pathway was chosen because the product  has many potential medical applications . Additionaly, violacein pathway is very convenient  choice due to the colored products. The carotenoid pathway  was selected because of a increasing significance of these compounds in food  and health industr and similar to violacein its products are colored, facilitating assays. By selecting different carotenoid pathways we wanted to point  out the possible application of our system at an industrial level. We  were surprised how easy it was find appropriate genes in a  Registry of standard biological parts and it was a the testimony of the usefulness of the  Registry as a practical and valuable tool in the field of  synthetic biology.</span></p>
 
-
<p>&nbsp;</p>
 
-
<p>&nbsp;</p>
 
-
<p><span style="font-size: 115%;"><strong>Design of DNA-guided biosynthetic pathway</strong></span></p>
 
-
<p>&nbsp;</p>
 
-
<p><span style="font-family: Arial,'sans-serif'; color: #444444; font-size: 100%;" lang="en-us" xml:lang="en-us">After the biosynthetic pathways were chosen we fused all enzymes to DNA binding proteins. We decided to use zinc fingers as the DNA binding proteins, since there is a large number of experimentally available zinc fingers available.We introduced the obtained chimeric biosynthetic pathway enzymes into <em>E. coli</em> and tested if enzymes fused with zinc fingers are still functional, which was the case in all tested enzymes. We designed scaffold DNA molecule we called DNA program.Zinc finger binding sequences were arranged on a program DNA in a way that they enabled arrangement of chimeric biosynthetic pathway enzymes in the correct order and proper spatial orientation. We also designed the scrambled variant of DNA program, where all zinc finger binding sequences were still present but were not arranged in a correct order. We introduced program DNA, scrambled DNA and random DNA molecules into cells containing all chimeric biosynthetic pathway enzymes and determined the kinetics, productivity and yield of biosynthetic pathway products. To our great pleasure strategy proved to be successful. Yield of the product was significantly higher in cells that contained program DNA than in cells that contained scrambled one or no program DNA at all.</span></p>
 
-
<p>&nbsp;</p>
 
-
<p>&nbsp;</p>
 
-
<p>&nbsp;</p>
 
-
<p><span style="font-size: 115%;"><strong>Estimation of the yield enhancement by DNA-guided biosynthesis</strong></span></p>
 
-
<p>&nbsp;</p>
 
-
<p>&nbsp;</p>
 
-
<p>&nbsp;</p>
 
-
<p><span style="font-family: Arial,'sans-serif'; color: #444444; font-size: 100%;" lang="en-us" xml:lang="en-us">We wanted to estimate the acceleration of the biosynthetic pathway flux achieved by the ordered assembly of biosynthetic enzymes. In reality the overall reaction rate depends on many different factors. Each of them can be the rate limiting step. Diffusion is often the rate limiting step for biosynthesis of small molecules. Under this approximation we found that the reaction rate can be significantly accelerated if biosynthetic pathway enzymes are arranged on the DNA program. Acceleration of overall reaction kinetics can be under those approximations in direct correlation with the number of biosynthetic steps. The rationale is that the local concentration of the substrate is several orders of magnitude greater when enzymes are assembled on biosynthetic chains in comparison to soluble monomeric enzymes, which are typically present in the cell at submilimolar concentrations.</span></p>
 
-
<p>&nbsp;</p>
 
-
<p><span style="font-family: Arial,'sans-serif'; color: #444444; font-size: 100%;" lang="en-us" xml:lang="en-us">A simple way to perform an&nbsp;<em>in silico</em><em>&nbsp;</em>&nbsp;simulation of the dynamics of quasi-random distributed enzymes in a cell, is to evaluate a few enzymatic reaction steps of the Michaelis-Menten kinetic law. To provide a more relevant view of enzyme and substrate dynamics, we designed a stochastic model that incorporates the mentioned law as the main kinetic constraint. To perform a valid representation of simulation&rsquo;s results, we also included the Poisson distributed time delay as an essential part of the product (substrate) accumulation, accounting for the diffusion delay. The time delay variable was assumed to be inversely proportional to the average distance and enzyme/substrate local concentration.</span><span style="font-family: Arial,'sans-serif'; color: #444444; font-size: 100%;" lang="en-us" xml:lang="en-us">The following figure shows the simulated difference in product formation and corresponding reaction velocity for a three reaction biosynthetic pathway, assuming equal binding affinity and diffusion-limited reaction rate.</span></p>
 
 +
<br>
 +
 +
<h2>Selection of the biosynthetic pathways</h2>
 +
 +
Registry of standard  biological parts comprises several biosynthetic pathways. Two of the more characterised pathways are violacein and carotenoid biosynthetic pathway. Violacein pathway was chosen because the product  has many potential medical applications . Additionaly, violacein pathway is very convenient  choice due to the colored products. The carotenoid pathway  was selected because of a increasing significance of these compounds in food  and health industr and similar to violacein its products are colored, facilitating assays. By selecting different carotenoid pathways we wanted to point  out the possible application of our system at an industrial level. We  were surprised how easy it was find appropriate genes in a  Registry of standard biological parts and it was a the testimony of the usefulness of the  Registry as a practical and valuable tool in the field of  synthetic biology.<br><br>
 +
 +
<h2>Design of DNA-guided biosynthetic pathway</h2>
 +
 +
After the biosynthetic pathways were chosen we fused all enzymes to DNA binding proteins. We decided to use zinc fingers as the DNA binding proteins, since there is a large number of experimentally available zinc fingers available.We introduced the obtained chimeric biosynthetic pathway enzymes into <em>E. coli</em> and tested if enzymes fused with zinc fingers are still functional, which was the case in all tested enzymes. We designed scaffold DNA molecule we called DNA program. Zinc finger binding sequences were arranged on a program DNA in a way that they enabled arrangement of chimeric biosynthetic pathway enzymes in the correct order and proper spatial orientation. We also designed the scrambled variant of DNA program, where all zinc finger binding sequences were still present but were not arranged in a correct order. We introduced program DNA, scrambled DNA and random DNA molecules into cells containing all chimeric biosynthetic pathway enzymes and determined the kinetics, productivity and yield of biosynthetic pathway products. To our great pleasure strategy proved to be successful. Yield of the product was significantly higher in cells that contained program DNA than in cells that contained scrambled one or no program DNA at all.<br><br>
 +
 +
<h2>Estimation of the yield enhancement by DNA-guided biosynthesis</h2>
 +
 +
We wanted to estimate the acceleration of the biosynthetic pathway flux achieved by the ordered assembly of biosynthetic enzymes. In reality the overall reaction rate depends on many different factors. Each of them can be the rate limiting step. Diffusion is often the rate limiting step for biosynthesis of small molecules. Under this approximation we found that the reaction rate can be significantly accelerated if biosynthetic pathway enzymes are arranged on the DNA program. Acceleration of overall reaction kinetics can be under those approximations in direct correlation with the number of biosynthetic steps. The rationale is that the local concentration of the substrate is several orders of magnitude greater when enzymes are assembled on biosynthetic chains in comparison to soluble monomeric enzymes, which are typically present in the cell at submilimolar concentrations.<br><br>
 +
 +
A simple way to perform an <em>in silico</em> simulation of the dynamics of quasi-random distributed enzymes in a cell, is to evaluate a few enzymatic reaction steps of the Michaelis-Menten kinetic law. To provide a more relevant view of enzyme and substrate dynamics, we designed a stochastic model that incorporates the mentioned law as the main kinetic constraint. To perform a valid representation of simulation&rsquo;s results, we also included the Poisson distributed time delay as an essential part of the product (substrate) accumulation, accounting for the diffusion delay. The time delay variable was assumed to be inversely proportional to the average distance and enzyme/substrate local concentration. The following figure shows the simulated difference in product formation and corresponding reaction velocity for a three reaction biosynthetic pathway, assuming equal binding affinity and diffusion-limited reaction rate.<br>
 +
 +
[[Image:SLOencimi3_a.jpg|thumb|center|700px|'''Figure 2:''' The comparison of a simulated product formation for a three reaction biosynthetic pathway. The "scaffold" graph shows a fast approaching of the steady state, where all the substrates are consumed and the accumulation of the final biosynthetic product reaches the maximal concentration. The graph corresponding to the contrarily, reaches the steady state much later.]]
 +
<br>

Latest revision as of 23:54, 27 October 2010

Chuck Norris facts:

biosynthetic pathways: background


Contents


Introduction

Biosynthesis is an enzyme catalyzed process, occurring in living cells, by which simple substrate molecules are converted into more complex products. The process often consists of several steps, in which the product of one step is used as a substrate for the following step. In synthetic biology, research and engineering of biosynthetic pathways gains more and more attention every year. One of the first great stories in the field of synthetic biology was engineering the artificial biosynthetic pathway for antimalarial drug artemisinic acid production in Saccharomyces cerevisae yeast. Production of artemisinic acid in genetically modified yeasts was achieved modulating regulation of specific mevalonate pathway genes and by the introduction of genes for the biosynthetic pathway from Artemisia annua plant to yeast. Another great examples of biosynthetic pathway engineering are production of fatty esters (biodiesel), fatty alcohols, and waxes by genetically modified Escherichia coli. Genes from different organisms were combined into completely new pathway which was introduced to Escherichia coli  to produce useful fuel directly from plant biomass.

For industrial applications biosynthetic pathways composed of several enzymes should be engineered in a way to achieve high yield of the desired biosynthetic products. Various strategies for optimization have been undertaken so far, such as:

  • Increasing the pool of available substrate and/or overexpression of the enzymes of the limiting biosynthetic steps,
  • Introducing heterologous enzymes with preferred kinetic characteristics,
  • Blocking branching of biosynthetic pathway,
  • Compartmentalizing of biosynthetic pathways by directing enzymes of a particular biosynthetic pathway to a specific cell compartments or artificially made compartments (e.g. metabolosomes),
  • Increasing the proximity of enzymes by assembling metabolic pathways on a protein scaffold.


Scaffold-assisted biosynthetic pathway

The last approach is in some way similar to solutions that nature has already evolved. In some natural biosynthetic pathways enzymes form larger complexes, which results in faster transport of intermediates from one enzyme to another. This strategy enables an organism to produce higher amounts of the final product with lower metabolic burden. Unstable and toxic intermediates can be protected from decay or can be neutralized, since they are immediately used by the next enzyme in the pathway. Experimental data has already shown on a case of resveratrol biosynthesis (Zhang et al., 2006) where fusing two enzymes together improves the efficiency of this particular biosynthetic pathway. However, fusing more than two enzymes may prove to be difficult on account of maintaining the functionality of the fusion protein, which is the reason that scaffolding is a better approach. A protein scaffold has already been used to improve the mevalonate pathway yield (Dueber et al. 2009). While there are many advantages of protein-based scaffold, this approach has some disadvantages. Three dimensional arrangement of polypeptides is unpredictable due to the flexibility of and between dimerization domains as represented in the scheme. Additionally each protein dimerization domain has different conditions under which it folds and forms the functional interaction. And perhaps the most important argument, there is a limited number of available weel-behaved protein dimerization domains available, while the biosynthetic pathways may comprise ten or more enzymes and synthetic bioengineers will want to engineer several pathways simultaneously.

Figure 1: Schematic representation of advantages of DNA-guided biosynthetic scaffold. DNA imparts the linear order, while protein/polypeptide based scaffold predominantly clusters the biosynthetic enzymes without of particular order.


Keeping in mind all potential weaknesses of protein-based scaffolding, we came to an idea that DNA molecule could also be used as a scaffold for bringing biosynthetic pathway enzymes in the correct order. We further discussed the idea and fond out that DNA molecule in fact has several special advantages (see Table).

  • DNA molecule has highly predictable structure. Therefore scaffold based on it provides not only higher local concentration of biosynthetic pathway enzymes, but can also arrange them into a predefined order,
  • Because double helix of DNA molecule makes a turn every 10 nucleotides or so, the proper spatial orientation of bounded proteins can be achieved by varying the number of spacer nucleotides between the two binding sites for DNA-binding proteins,
  • A large number of different DNA binding proteins exists in nature. Some of them, such as zinc fingers or TAL effectors, have modular structure and can be engineered to bind any given nucleotide sequence. There are already more than 700 experimentally tested zinc fingers available to choose from. Therefore DNA scaffolding offers virually unlimited number of distinct combinations.


Comparison od advantages and disadvantages between DNA- and protein-based biosynthetic scaffold

  DNA scaffold  Protein scaffold 

Spatial orientation

Linear

Bundled

Order

Highly predictable order

Unpredictable

Scaffold : enzyme ratio

Difficult to achieve substantial amount of scaffold, ratio in favour of enzymes

Easy to achieve favorable ratio with gene expression regulation.

Scaffold: enzyme interactions

Similar well characterized, predictable interactions 

Variations in strength, limited number of well-characterized interactions

Variability, number of available elements

Large number of zinc finger and other DNA binding domains is readily available, engineered zinc finger domains

Limited number of protein dimerization domains

Interference with cellular metabolism May bind to chromatin, selecti rom sequences that do not affect growh Signal transduction domains usually do not interfere with bacteria


Selection of the biosynthetic pathways

Registry of standard biological parts comprises several biosynthetic pathways. Two of the more characterised pathways are violacein and carotenoid biosynthetic pathway. Violacein pathway was chosen because the product has many potential medical applications . Additionaly, violacein pathway is very convenient choice due to the colored products. The carotenoid pathway was selected because of a increasing significance of these compounds in food and health industr and similar to violacein its products are colored, facilitating assays. By selecting different carotenoid pathways we wanted to point out the possible application of our system at an industrial level. We were surprised how easy it was find appropriate genes in a Registry of standard biological parts and it was a the testimony of the usefulness of the Registry as a practical and valuable tool in the field of synthetic biology.

Design of DNA-guided biosynthetic pathway

After the biosynthetic pathways were chosen we fused all enzymes to DNA binding proteins. We decided to use zinc fingers as the DNA binding proteins, since there is a large number of experimentally available zinc fingers available.We introduced the obtained chimeric biosynthetic pathway enzymes into E. coli and tested if enzymes fused with zinc fingers are still functional, which was the case in all tested enzymes. We designed scaffold DNA molecule we called DNA program. Zinc finger binding sequences were arranged on a program DNA in a way that they enabled arrangement of chimeric biosynthetic pathway enzymes in the correct order and proper spatial orientation. We also designed the scrambled variant of DNA program, where all zinc finger binding sequences were still present but were not arranged in a correct order. We introduced program DNA, scrambled DNA and random DNA molecules into cells containing all chimeric biosynthetic pathway enzymes and determined the kinetics, productivity and yield of biosynthetic pathway products. To our great pleasure strategy proved to be successful. Yield of the product was significantly higher in cells that contained program DNA than in cells that contained scrambled one or no program DNA at all.

Estimation of the yield enhancement by DNA-guided biosynthesis

We wanted to estimate the acceleration of the biosynthetic pathway flux achieved by the ordered assembly of biosynthetic enzymes. In reality the overall reaction rate depends on many different factors. Each of them can be the rate limiting step. Diffusion is often the rate limiting step for biosynthesis of small molecules. Under this approximation we found that the reaction rate can be significantly accelerated if biosynthetic pathway enzymes are arranged on the DNA program. Acceleration of overall reaction kinetics can be under those approximations in direct correlation with the number of biosynthetic steps. The rationale is that the local concentration of the substrate is several orders of magnitude greater when enzymes are assembled on biosynthetic chains in comparison to soluble monomeric enzymes, which are typically present in the cell at submilimolar concentrations.

A simple way to perform an in silico simulation of the dynamics of quasi-random distributed enzymes in a cell, is to evaluate a few enzymatic reaction steps of the Michaelis-Menten kinetic law. To provide a more relevant view of enzyme and substrate dynamics, we designed a stochastic model that incorporates the mentioned law as the main kinetic constraint. To perform a valid representation of simulation’s results, we also included the Poisson distributed time delay as an essential part of the product (substrate) accumulation, accounting for the diffusion delay. The time delay variable was assumed to be inversely proportional to the average distance and enzyme/substrate local concentration. The following figure shows the simulated difference in product formation and corresponding reaction velocity for a three reaction biosynthetic pathway, assuming equal binding affinity and diffusion-limited reaction rate.

Figure 2: The comparison of a simulated product formation for a three reaction biosynthetic pathway. The "scaffold" graph shows a fast approaching of the steady state, where all the substrates are consumed and the accumulation of the final biosynthetic product reaches the maximal concentration. The graph corresponding to the contrarily, reaches the steady state much later.