在计算和化学中自我组织:回到AlChemy
Cole Mathis1,2, Devansh Patel1,3, Westley Weimer4
1Biodesign Institute, Arizona State University, Tempe, Arizona 85281, USA.
Chaos (Woodbury, N.Y.)
|September 30, 2024
概括
复杂的自适应系统从简单的规则中产生. 使用兰巴微积分的AlChemy模型显示,稳定的组织经常形成,但难以结合,为生命的起源和编程语言提供了洞察力.
科学领域:
- 复杂的自适应系统.
- 理论计算机科学理论计算机科学
- 生命起源研究研究生命的起源.
背景情况:
- 从简单的组件中形成复杂的系统是科学中的一个基本问题.
- 沃尔特·方塔纳和利奥·巴斯在1990年代的AlChemy模型中,基于lambda微积分,利用计算规则探索了这一点.
- 三十年来,AlChemy模型一直没有得到充分研究.
研究的目的:
- 重新检查并复制原始AlChemy模型的结果.
- 用现代计算资源分析系统的稳定性和新兴特性.
- 调查随机生成器对系统结果的影响,并探索潜在的扩展.
主要方法:
- 使用兰巴微积分作为正式的计算模型.
- 使用了广泛的计算来复制和测试AlChemy模型.
- 分析了新兴组织的动态及其稳定性.
- 描述随机表达式生成器及其对系统行为的影响.
- 开发了一个用于使用打字的lambda微积分扩展模型的建设性证明.
主要成果:
- 复杂,动态稳定的组织比预期的更频繁地出现.
- 新兴组织在抵御崩时表现出强性,但在组合成更高阶结构时表现出脆弱性.
- 随机发生器显著影响初始条件和结果.
- 打字的lambda微积分扩展可以模拟化学反应网络中的过渡.
结论:
- 阿尔凯米模型展示了新兴系统中动态强度和脆弱性的令人惊的组合.
- 这些发现提供了计算模型和生化反应网络之间的定量联系.
- 潜在的应用包括编程语言的自我组织和生命起源的定量研究.
相关概念视频
02:20The Small x Assumption
46.0K
If a reaction has a small equilibrium constant, the equilibrium position favors the reactants. In such reactions, a negligible change in concentration may occur if the initial concentrations of reactants are high and the Kc value is small. In such circumstances, the equilibrium concentration is approximately equal to its initial concentration. This estimation can be used to simplify the equilibrium calculations by assuming that some equilibrium concentrations are equal to the initial...
46.0K
02:58Chemistry of the Cell
41.7K
The cell is chemically composed of water, organic molecules and inorganic ions.
Water
The polarity of the water molecule and its resulting hydrogen bonding makes water a unique substance with special properties that are intimately tied to the processes of life. Life originally evolved in an aqueous environment, and most of an organism’s cellular chemistry and metabolism occur inside the aqueous contents of the cell’s cytoplasm. Special properties of water are its high heat capacity...
Water
The polarity of the water molecule and its resulting hydrogen bonding makes water a unique substance with special properties that are intimately tied to the processes of life. Life originally evolved in an aqueous environment, and most of an organism’s cellular chemistry and metabolism occur inside the aqueous contents of the cell’s cytoplasm. Special properties of water are its high heat capacity...
41.7K
02:00Molecular Models
38.0K
Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
38.0K
01:14Polymer Classification: Architecture
2.7K
Polymers are classified as linear or branched on the basis of their chain architecture. The polymer chains in linear polymers have a long chain-like structure with minimal to no branching at all. Even if a polymer features large substituent groups on the monomer, which appear as branches to the skeleton, it is not considered a branched polymer. A branched polymer contains secondary polymer chains that arise from the main polymer chain. The branching occurs when the polymer growth shifts from...
2.7K
00:59Biot-Savart Law: Problem-Solving
2.5K
The magnitude and direction of a magnetic field created by a steady current can be calculated using the Biot-Savart law.
Consider a mobile phone battery bank as a source of steady current, which flows through the wire connected between the two. What is the magnitude of the magnetic field created by this current at a field point P?
To estimate the magnitude of the total magnetic field, we first consider a small current element of length dl, at a distance r from the field point. Now the following...
Consider a mobile phone battery bank as a source of steady current, which flows through the wire connected between the two. What is the magnitude of the magnetic field created by this current at a field point P?
To estimate the magnitude of the total magnetic field, we first consider a small current element of length dl, at a distance r from the field point. Now the following...
2.5K
01:09Radical Chain-Growth Polymerization: Mechanism
2.5K
The radical chain-growth polymerization mechanism consists of three steps: initiation, propagation, and termination of polymerization. The polymerization initiates when a free radical generated from the radical initiator adds to the unsaturated bond in the monomer. The unpaired electron of the free radical and one π electron in the unsaturated bond creates a σ bond between the free radical and the monomer. As a result, the other π electron in the unsaturated bond converts this...
2.5K