Sequences Probability Calculator
| January 15, 2013 | Posted by niwrad under Intelligent Design |
You can find here an utility to calculate the probabilities of random sequences of symbols.
It tries to answer questions like this: “a random process generating sequences of length L from an alphabet of S symbols in T trials of t seconds each, involving c chemical reactions, does exceed the resources of the universe (age, max number of chemical reactions, universal probability bound)?”.
The user interface is meant to be self-explanatory. The “Demo” button has the function to preset an example of input values. After the “Demo” you can eventually change some or all inputs and click the “Calculate” button to obtain your new output results. Otherwise if you want to start from entirely different inputs you may click the “Reset” button that zeroes inputs and outputs.
Disclaimer: this is a mathematical tool dealing with processes considered purely random. It doesn’t pretend to simulate the physical, chemical, biological, functional constraints specific of the processes. For example, about proteins and biopolymers, it doesn’t include the deterministic effect of amino acids forcing other amino acids to come with them, which could make the sequence more probable. Besides it doesn’t deal with all the specialized cases where functional issues somehow dominate the sequence structure. However the tool may give an idea of the orders of magnitude of the numbers involved in scenarios as origin of life, production of biopolymers, binary and character text generation, and so on.
Note about notation: almost all numbers are in “exponential E” notation, which is used in informatics as equivalent to the “scientific 10^” notation. Example: 4.4E+17 = 4.4×10^17 (scientific notation) = 440,000,000,000,000,000 (integer notation). The decimal dot moves rightward as many places as the exponent/power of ten (in this case 17).
31 Responses to Sequences Probability Calculator
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Quite interesting device from the Progretto Cosmo folks.
Does the model require the random trials to be run sequentially?
Let’s see, 10^80 atoms, at 10^45 per sec for 10^25 s = 10^150 trials. Where, the UPB looks at odds of 1 in 10^150 as defining a search challenge that is insurmountable. To guarantee that, we routinely use a limit of 1,000 bits for the observed cosmos, so that the 1.07*10^301 possibilities swamp the 10^150 possibilities for 10^80 atoms for 10^25 s, 50 mn times the estimated lifespan of the observed cosmos to date. That looks like one trial per atom per 10^-45 sec for the thermodynamic lifespan of the observable cosmos to me. That would be ridiculously generous to any onlooker, save for the determined Darwinist hoping to find an out from the sampling space challenge he faces. And the predictable onward claim is that there is a sampling from a reduced space, but that omits that what that means — on blind choice of subset — is a selection from the set of all subsets, the power set of the original set. That is exponentially worse. Blind search for an advantageous search only makes the matter worse.
Nice!
Notes:
To clarify as to how the 500 bit universal limit is found for ‘structured, functional information’:
Of note:
timothya #2
Yes.
Niwrad posted this:
Thanks. I just wanted to confirm that the simulator has nothing to do with evolutionary processes.
timothya #6
Do you mean evolutionary processes don’t involve sequences of symbols? In this case, for you, biological evolution would have nothing to do with biology, given that molecular biology has a lot to do with sequences of symbols.
Tim, contrary to what you would like to think, the particular specific sequence does indeed matter towards functionality:
Common Design in Bat and Whale Echolocation Genes? – January 2011
Excerpt: two new studies in the January 26th issue of Current Biology, a Cell Press publication, show that bats’ and whales’ remarkable ability and the high-frequency hearing it depends on are shared at a much deeper level than anyone would have anticipated — all the way down to the molecular level.
http://www.evolutionnews.org/2.....42291.html
Convergent sequence evolution between echolocating bats and dolphins – Liu et al (2010)
Excerpt: We previously reported that the Prestin gene has undergone sequence convergence among unrelated lineages of echolocating bat [3]. Here we report that this gene has also undergone convergent amino acid substitutions in echolocating dolphins,
http://www.cell.com/current-bi.....%2902073-9
Bat and Whale Echolocation Genes Point to Common Design – February 2011 – Podcast
http://intelligentdesign.podom.....9_16-08_00
Here’s a figure showing bats and dolphins group together on the same tree based on Prestin sequence comparisons.
http://sphotos.xx.fbcdn.net/hp.....7372_n.jpg
Common Design in Bat and Whale Echolocation Genes? – January 2011
Excerpt: two new studies in the January 26th issue of Current Biology, a Cell Press publication, show that bats’ and whales’ remarkable ability and the high-frequency hearing it depends on are shared at a much deeper level than anyone would have anticipated — all the way down to the molecular level.
http://www.evolutionnews.org/2.....42291.html
Convergent sequence evolution between echolocating bats and dolphins – Liu et al (2010)
Excerpt: We previously reported that the Prestin gene has undergone sequence convergence among unrelated lineages of echolocating bat [3]. Here we report that this gene has also undergone convergent amino acid substitutions in echolocating dolphins,
http://www.cell.com/current-bi.....%2902073-9
Bothersome Bats and Other Pests Disturb the “Tree of Life” – Casey Luskin – December 5, 2012
Excerpt: But this is hardly the only known example of molecular convergent evolution. In his book The Cell’s Design, chemist and Darwin-skeptic Fazale Rana reviewed the technical literature and documented over 100 reported cases of convergent genetic evolution. Each case shows an example where biological similarity — even at the genetic level — is not the result of inheritance from a common ancestor.
http://www.evolutionnews.org/2.....67121.html
And,,,
Bernard d’Abrera on Butterfly Mimicry and the Faith of the Evolutionist – October 5, 2011
Excerpt: For it to happen in a single species once through chance, is mathematically highly improbable. But when it occurs so often, in so many species, and we are expected to apply mathematical probability yet again, then either mathematics is a useless tool, or we are being criminally blind.,,, Evolutionism (with its two eldest daughters, phylogenetics and cladistics) is the only systematic synthesis in the history of the universe that proposes an Effect without a Final Cause. It is a great fraud, and cannot be taken seriously because it outrageously attempts to defend the philosophically indefensible.
http://www.evolutionnews.org/2.....51571.html
Here is a brand new molecular animation of the ATP molecular machine
Miniature Molecular Power Plant: ATP Synthase – video
http://www.youtube.com/watch?v=XI8m6o0gXDY
of note: Nanomachines in the Powerhouse of the Cell: Architecture of the Largest Protein Complex of Cellular Respiration Elucidated – July 2010
Excerpt: In biological oxidation, the energy will be released by the membrane bound protein complexes of the respiratory chain in a controlled manner in small packages. Comparable to a fuel cell, this process generates an electrical membrane potential, which is the driving force of ATP synthesis. The total surface of all mitochondrial membranes in a human body covers about 14.000 square meter. This accounts for a daily production of about 65 kg of ATP. (A little over 143 pounds). The now presented structural model provides important and unexpected insights for the function of complex I. A special type of “transmission element,” which is not known from any other protein, appears to be responsible for the energy transduction within the complex by mechanical nanoscale coupling. Transferred to the technical world, this could be described as a power transmission by a coupling rod, which connects for instance the wheels of a steam train. This new nano-mechanical principle will now be analysed by additional functional studies and a refined structural analysis.
http://www.sciencedaily.com/re.....100414.htm
Exactly. Most biopolymers must have specific sequence of symbols to work. So their generation by random evolution has unavoidably something to do with the probability of generating those specific sequences of symbols by chance. There are other aspects of biopolymers that are more difficult to simulate (e.g. their tridimensional shape). Instead, to compute the probability of the mere symbolic sequence is easier because is a combinatorial problem and is what this tool tries to do somehow.
Niwrad as to:
Yes, it is so easy to overlook the fact that proteins are far more complicated than just linear sequences of amino acids.
Francis Collins gives us a glimpse here:
In fact, in many cases, the same protein is found to be ‘context dependent’ (dependent on what overall situation the protein is in), instead of just sequence dependent:
Moreover, much contrary to the genetic reductionism model of the central dogma, (i.e. DNA makes RNA makes Protein), external factors (i.e. what cell is being built, where the protein is in the cell) are now strongly implicated in determining exactly how any specific protein is put together from exons:
If all that was not crushing enough for the ‘bottom up’ reductive materialistism of neo-Darwinism, it is now found, though at first thought to be impossible, that ‘non-local’ (i.e. beyond space and time) quantum entanglement drives protein folding:
Non-Local Quantum entanglement on such a massive scale in proteins (and DNA) is simply so far beyond anything man has even dreamed of accomplishing in quantum computing that this finding, by itself, should have made the biologists/mathematicians/physicists who discovered it drop to their knees in reverence to God upon their realization of what they were actually dealing with.
And as if all this was not enough to show that proteins are far, far, more complex than just linear sequences of amino acids, it is now also found that proteins communicate with other proteins in the rest of the cell, and with other cells, using ‘biophoton’ light:
Also of note:
It is also of interest to note that photonic communication has much greater fidelity, and quality, of communication than molecular communication does:
Music:
As timothya may no longer be able to post here, let me point out that your calculator is a “tornado in a junkyard” simulator. Nobody suggests proteins arise in one random event. That problem is reserved for origin-of-life hypotheses. Evolution proceeds by small changes from a previous viable antecedent. Environmental design then picks out any improved protein mutants and the process can recur ad infinitum.
Professor Joe Felsenstein writes here about the problem. You are very welcome to engage there with him.
PS @ Niwrad
There is also the issue of whether there is only one sequence that will have a particular function in the whole of search space. All research so far suggests functionality is widespread in novel proteins.
as to the insurmountable difficulties of evolving new functional proteins from preexisting sequences:
In fact the Ribosome, which makes the myriad of different, yet specific, types of proteins found in life, is found to be severely intolerant to any random mutations occurring to the proteins it manufactures.
And exactly how is the evolution of new forms of life suppose to ‘randomly’ occur if it is prevented from ‘randomly’ occurring at the base level of proteins in the first place?
On top of the lack of ability of proteins to evolve into new shapes and functions, what does the recent hard evidence say about novel protein-protein binding site generation? i.e. about the ability of protein with novel functions to combine with other proteins in a meaningful way to do something useful for the cell?
Please note that Dr. Behe, even though the numbers from their model still supported his overall conclusion for the rarity of spontaneous binding site formation, was indignant with the weight they were giving to their ‘hypothetical’ model over what the evidence actually said (good for him, a true scientist to the core!!)
Dr. Behe’s research of empirical evidence agrees with the extreme difficulty that was found for scientists trying to ‘purposely design’ a protein-protein binding site:
etc.. etc.. etc..
Alan, what evidence do you have, if any, that life does not require specific sequences or that biological evolution itself does not require the presence of specific sequences in order to occur?
Feel free to say that you have none.
Insurmountable? Alleles exist. Alleles arise. Alleles get selected.
You appear to be referring to the origin of life, about which nobody knows anything apart from the fact it happened on Earth between four and three billion years ago. Evolution is the only reasonable attempt to explain the subsequent diversity and why it only needed to happen once.
Thanks for the permission.
Alan Fox #14
Thank you for your reference and invitation to the interesting Prof. Felsenstein’s blog I will read. Yes, you are right, in a sense the SPC is a “tornado in a junkyard” simulator. For this reason – in my opinion – it could be used to do some raw computations about some aspects of the origin of life problem (some have indeed compared the supposed naturalistic solution to this problem as a “tornado in a junkyard generating a Boeing 747”).
I doubt that “proteins evolution proceeds by small changes from a previous viable antecedent”. We should consider that countless cellular systems made of proteins are irreducibly complex (IC). In this case, their creation should somehow happen “in a single trial”, so to speak, with the probabilities the SPS could help to imagine.
The SPC is a general tool. You could even compute what is the probability of arise by chance of Shakespeare’s works. As I wrote in the disclaimer, of course to really focus all the complex issues about the biological sequences, one should refer to the researches of the specialists on the topic (as those linked by bornagain77 – come to my mind, from the ID side, the works of Douglas Axe, Ann Gauger, Kirk Durston, who in addition consider the related functional information content of the biopolymers).
No, I’m not. I’m talking about life as we know it, the only life we know of. It’s you who keep insisting on appealing to the unknowable unknown.
What evidence do you have, if any, that LIFE does not require specific sequences or that BIOLOGICAL EVOLUTION itself does not require the presence of specific sequences in order to occur?
Heck, even evolutionary algorithms use sequences of symbols, but let’s just ignore that minor difficulty.
Alan claims:
That’s the claim, and yet reality reveals that what is taken for granted by evolutionists about ‘alleles ‘randomly’ arising’ is anything but easy for Darwinists to account for:
Also of interest from the preceding paper, on page 22, is a simplified list of the ‘epigentic’ information flow in the cell that directly contradicts what was expected from the central dogma (Genetic Reductionism/modern synthesis model) of neo-Darwinism.
as well:
Now Alan, that is just plain embarrassing for Darwinists! All this time Darwinists have been claiming that mutations are arising ‘randomly’ yet the fact of the matter turns out to be that higher levels of information in the genome are ‘directing’ the mutations!
As to fixing unambiguously ‘random’ mutations, well the evidence does not get better for you Alan:
What really needs to be said Alan???
It is interesting to point out (once again) that Darwinists are barking up the wrong tree in the first place:
etc.. etc..
Yeah, functionality is wide spread and any functioning proteins will do. So there.
Is the doubt that the process of evolution happens by a process involving the selection of competing alleles in a gene pool (having passed through a succession of antecedents who were successful enough to have descendants) or that evolution happens at all?
Well, IC is merely a formalism of the doubt you are expressing. Rather than surrender to doubt, we can keep looking for answers.
You appear to think that there is only ever one solution to a problem!
Alan Fox:
Are you admitting that you are ignorant as to what is being debated?
Intelligent design argues against unguided, ie blind watchmaker, evolution. That is accumulations of genetic accidents accounting for the diversity of living organisms. The premise isn’t even testable.
So archaeology and forensic science are merely formalisms of doubt? And that if we keep looking all artifacts and crimes would really come down to nature, operating freely?
Of related note:
Belgian Waffle – Douglas Axe – January 18, 2013
Excerpt:,, an article from Ghent University in Belgium claims a recent scientific paper has rescued evolutionary theory by solving the problem of evolutionary innovation.,,,
Here’s the concession:
“An important unanswered question in Darwin’s theory of evolution is how new characteristics seem to appear out of nowhere.”
Hmmm. Yes, I can see how this could be a problem for a theory of biological origins.,,
,,,here’s the plain statement:
“The preduplication [i.e., ancestral] ancMalS enzyme was multifunctional and already contained the different activities found in the postduplication [i.e., evolved] enzymes, albeit at a lower level.”
So, all we have here is a demonstration of what we already knew — that evolution can adjust somewhat the relative preferences enzymes show for the molecules they already work on. Those aren’t new activities, though, and this isn’t a new result either.
What would be really new and welcome would be for evolutionary biologists to begin taking the word new seriously.
http://www.evolutionnews.org/2.....68421.html
‘BBC News – Leprosy bacteria use biological alchemy’
(‘No Intelligent Design to be seen here. Move along!’)
http://www.bbc.co.uk/news/health-21056644
Joseph Felsenstein:
Apparently we can assume that a protein has parts without bothering to engage the essence of a protein.
According to Mike Elzinga over at TSZ:
How much energy is required to bring about unlikely reactions? We;re left to wonder.
Then Mike says:
What does “entropy” tells us?
Boltzmann’s entropy formula