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Biological Systems

0409: Daisyworld

Niall Palfreyman
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 10 months 3 weeks ago

0406: The simplest possible brain

Niall Palfreyman
This simple, generic biological integral-control component is used by E. coli to decide on an adaptive tumbling frequency.

1. If Ligand concentration stays constant, the bacterium tumbles at a low, exploratory rate of ~2 Hz.

2. If Ligand concentration rises (attractant), tumbling frequency falls to continue moving toward the source.

3. If Ligand concentration falls (repellant), tumbling frequency rises to avoid the source.

HSWT BPI Biological Systems

  • 10 months 4 weeks ago

Influence of Sympatric Speciation on Regulation

Adrian Marcus
We extended Daisyworld to evaluate the effects of sympatric speciation on regulation. Sympatric speciation occurs when organisms are segregated from each other by functional, rather than spatial, constraints. To emphasize the sympatric aspect of our model we halved the original value of 'q'. The dynamical model contains five potential species: gray, light gray, dark gray, black and white daisies, whose phenotypes differ only in their albedo.

Initially the model contains only gray daisies. Mutation of gray daisies leads to new daisy types. These new types can interbreed with their genetic neighbors or mutate even further. These mutations ultimately lead to black or white daisies.  When two types are functionally different enough they cannot interbreed and we consider them separate species.

Instructions:

You can change the 'Spread' of albedo between the different daisy types centered at the albedo of the gray daisies and in symmetric shades.

'gamma' is the general death rate for all daisies.

The 'Flow' defines the percentage of the actual population which mutates.

'q' defines the spatial distribution of thermal energy between the dasies.

'Base' is the optimal temperature of the general daisy.

'mu' is the probability of a mutation event.

Our model contains two possible luminosity scenarios. One relates to the increasing luminosity of the original Daisyworld. There is a second scenario implemented, which simulates different pertubations over a normally constant luminosity. To change between the scenarios simply reconnect the 'Absorbed Luminosity' variable with one of the container 'L'. Both scenarios are depicted in the diagram, so no changes are neccessary.

HSWT BPI Biological Systems

  • 12 months 3 days ago

0401: Constrained growth

Niall Palfreyman
Two simple models of constrained growth, showing how stable structure arises through coupling positive feedback of one order with negative feedback of a higher order. This mechanism forms the basis of all stable states (and therefore of all memory) in nature.

In the first model a Protein is expressed at a constant growth rate betaP, and is degraded exponentially - that is, at a rate alphaP * Protein which is directly proportional to its current concentration. The result is the so-called 'leaky barrel' model, which grows to a stable value of betaP/alphaP.

In the second model Rabbits are born at a rate betaR * Rabbits which is proportional to the current number of Rabbits, but due to competition they die hyperexponentially (i.e. proportional to the square of the number of Rabbits). The result is the logistic model, which grows to a stable value of betaR/alphaR.

HSWT BPI Biological Systems

  • 1 year 1 month ago

0411: Recombination and mutation

Niall Palfreyman
This is an example of how to model populations involving recombination and mutation. The Hardy-Weinberg Law gives us the effects of recombination, and mutation is represented by a flux between alleles.

Possible extensions: Build in differential fitness of the three genotypes, have them differentially interact with an external environment, or have them interact with each other. (There is already an interaction term in the three 'die' flows.)

HSWT BPI Biological Systems

  • 1 year 4 months ago

0402: Interacting species

Niall Palfreyman
This is a very general model of two interacting species which describes a wide variety of different kinds of interaction, for example: cooperation, symbiosis, competition or predation.

Note that in systems biology the word 'species' can mean species of organism, species of chemical or species of cell. Similarly, 'interaction' can mean chemical interaction, genetic interaction or phenotypic interaction. We are talking here about very general kinds of system.

HSWT BPI Biological Systems

  • 1 year 4 months ago

0410: Sympatric speciation

Niall Palfreyman
It is easy to imagine allopatric speciation taking place as populations become confined to physically separate locations (for example Darwin's finches on separate Galapagos islands). It is less easy to imagine how sympatric speciation can occur when the nascent species are physically mixed. Golubitsky and Stewart demonstrate a mathematical model of functional segregation in precisely such completely mixed populations.

HSWT BPI Biological Systems

  • 1 year 4 months ago

0405: Genetic assimilation

Niall Palfreyman
This model implements Saunders' (1993) model of genetic assimilation and punctuated equilibrium. It illustrates how apparently phenotype-free random mutations in K can become selectively biased by raising the probability of a fitter phenocopy via fluctuations in S.

HSWT BPI Biological Systems

  • 1 year 4 months ago

0403: Chaotic pendulum

Niall Palfreyman
A damped, driven pendulum. The combination of damping and driving provokes a minimal case of chaos. The system is not in itself biological, however its chaotic behaviour arises from competing oscillatory influences - a situation which plays a role in many biological systems.

HSWT BPI Biological Systems

  • 1 year 4 months ago

Genetic Origins of Speciation

Alexander
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998), enton & Lovelock (2001) and Heinzinger, Holm and Schuler (2016)

This shown model extends the conventional Daisyworld model from Watson & Lovelock.to investigate the effects of speciation. Daisies in this model undergo random genetic mutation. This is subject to selection on its phenotypic consequences for the daisies' niche-construction. The diverse simulations were processed with different values of capacity of interbreeding theta, mutation rate mu and luminosity L.
Advices for using our model:
  • The capacity of interbreeding theta can be set from 0.5 up to 1.0
  • Any of the four different luminosities can be chosen
  • You can change the mutation rate mu from 0.009 up to 1 (maximum mutation rate). But with theta = 0.5, the lowest mutation rate mu is 0.01. Beneath this value, there is no growth.

HSWT BPI Biological Systems HHS

  • 12 months 4 days ago

Daisyworld 2.0

HelloWorld
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 2 weeks ago

Daisyworld 2.0

Alexander
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 3 weeks ago

Daisyworld BW ohne Temp

Alexander
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 2 weeks ago

0414: Two-species niche-construction IRC

Niall Palfreyman
This model displays the basic structure of a closed system IR controller, which uses two competing species to regulate a Resource up or down.

Consumers lower the quantity of Resource, and have a higher optimum requirement for the Resource; Producers raise the quantity of Resource, and have a lower optimum requirement. Between them, they maintain the Resource at an intermediate level.

HSWT BPI Biological Systems

  • 1 year 1 month ago

The Best Daisyworld 3.0

HelloWorld
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 2 weeks ago

Hübsches Daisyworld 2.0

Alexander
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 3 weeks ago

Daisyworld final 23_06_16

Charlotte Weinschenk
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).
extended by Anna Blümel, Tobias Meier, Charlotte Weinschenk(2016)


The Research deals with a stress test of Watson and Lovelock’s Daisyworld model. The authors tested the stability of the model by applying modified growth curves for the Daisies. These modified curves were tested in several modes of the grouping constant q.


For testing the different modes of the project:
- to see different growth curves for the Daisies,  pull a flow from desired fertilityB/fertilityW to birthB/birthW
Consider: Only one fertilityB/fertilityW should be connected to birthB/birthW.

-to see different modes of the homeostasis, change grouping constant q to different values.
The authors reccomend following values:
q= 3; 6; 15; 20; 25; 30; 35; 40; 50

HSWT BPI Biological Systems

  • 1 year 1 day ago

Better Daisyworld 3.0

Alexander
Darwinian Daisyworld model from and Watson & Lovelock (1983), Robertson & Robinson (1998) and Lenton & Lovelock (2001).

Units of time are 40 Myr, giving R&R's span of 10 Gyr.

This model offers many opportunities for modification. Maybe the Black and White populations can mutate into each other? The role of q as a measure of segregation of the B and W populations is interesting, and while this model uses purely stigmergic communication between species, direct interaction would also be possible.

HSWT BPI Biological Systems

  • 1 year 2 weeks ago

0413: Single-species niche-construction IRC

Niall Palfreyman
This is the simplest possible niche-construction IR controller. It assumes that a population P metabolises Food into Poo when it is above a threshold value Theta, but metabolises Poo into  Food (!) when P falls below this threshold. Food and Poo therefore integrate  over time P's divergence from Theta, and this information is used to combat that divergence.

Notice that the 'rein' contribution to this controller arises from the fact that P can metabolise Poo into Food, thus also correcting for values of P below Theta. From thermodynamic considerations this is only possible if the system is open to energy input from an external source. Indeed, this model is precisely the structure of the chemotaxis tumbling circuit in E. coli, which relies on an external supply of energy in the form of ATP.

On the other hand, a closed system can only achieve IR control if it has at least two competing species to pull the 'reins' in the two different directions. That is the subject of the next model.

HSWT BPI Biological Systems

  • 1 year 1 month ago

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