Datasets:
Formats:
json
Languages:
English
Size:
1K - 10K
Tags:
programmable-matter
nanofabrication
hierarchical-self-assembly
dna-origami
material-voxels
kinetic-proofreading
License:
| from pathlib import Path | |
| import csv, math | |
| import numpy as np | |
| import matplotlib | |
| matplotlib.use('Agg') | |
| import matplotlib.pyplot as plt | |
| ROOT=Path(__file__).resolve().parents[1];OUT=ROOT/'figures';OUT.mkdir(exist_ok=True) | |
| plt.rcParams.update({'font.size':10,'axes.spines.top':False,'axes.spines.right':False,'font.family':'DejaVu Sans','figure.dpi':160}) | |
| colors=['#9299a5','#475b75','#d29539','#8761a9','#168b8c','#bd4b56'] | |
| modes=['random','coded','hierarchical','proofreading','proofreading_hierarchy','locking'] | |
| labels=['Random','Coded','Hierarchy','Proofreading','Proofreading + hierarchy','Plus locking'] | |
| def read(name):return list(csv.DictReader((ROOT/'results'/name).open())) | |
| r=read('baseline.csv') | |
| fig,ax=plt.subplots(2,2,figsize=(9,6.8),constrained_layout=True) | |
| for mode,col,lab in zip(modes,colors,labels): | |
| s=[x for x in r if x['mode']==mode];n=[int(x['N']) for x in s] | |
| for a,key in zip(ax.flat,['correct_fraction','wrong_fraction','missing_fraction','log10_perfect_yield']): | |
| y=[float(x[key]) for x in s] | |
| if key=='log10_perfect_yield':y=[max(-100,v) for v in y] | |
| a.plot(n,y,'o-',color=col,label=lab,markersize=3) | |
| for a,title in zip(ax.flat,['Correct join fraction','Wrong join fraction','Missing join fraction','log10 perfect yield (clipped at -100)']): | |
| a.set_xscale('log');a.set_xlabel('Number of carriers N');a.set_title(title,loc='left',fontweight='bold',fontsize=10);a.grid(alpha=.2) | |
| for a in [ax[0,0],ax[0,1],ax[1,0]]:a.set_ylim(-.025,1.025) | |
| ax[1,1].set_ylim(-103,3) | |
| fig.legend(*ax[0,0].get_legend_handles_labels(),loc='outside lower center',ncol=3,fontsize=9) | |
| fig.suptitle('Local-socket model | fixed solids, 20,000 s deadline',fontsize=13,fontweight='bold') | |
| fig.savefig(OUT/'kinetics.png',dpi=220);fig.savefig(OUT/'kinetics.pdf');plt.close(fig) | |
| fig,ax=plt.subplots(2,2,figsize=(9,6.5),constrained_layout=True) | |
| sweep=read('sweep.csv') | |
| for alpha,col,lab in [(0.,'#168b8c','Module concentration restored'),(1.,'#bd4b56','Fixed primary-material concentration')]: | |
| ss=[x for x in sweep if x['mode']=='locking' and float(x['gap_kbt'])==6. and float(x['progress_rate'])==.1 and float(x['dilution_exponent'])==alpha] | |
| ax[0,0].semilogx([float(x['N']) for x in ss],[float(x['correct_fraction']) for x in ss],'o-',label=lab,color=col) | |
| ax[0,0].set_title('Transport policy changes the result',loc='left',fontweight='bold',fontsize=10);ax[0,0].set_ylabel('Correct fraction');ax[0,0].set_xlabel('Carriers N');ax[0,0].legend(fontsize=7) | |
| n=np.logspace(2,18,300) | |
| for eta,c in zip([1e-4,1e-8,1e-14],['#d29539','#168b8c','#475b75']): | |
| y=np.exp(np.maximum(-750,n*np.log1p(-eta))) | |
| ax[0,1].semilogx(n,y,label=f'Late fault = {eta:g}',color=c) | |
| ax[0,1].set_title('An uncorrected final process limits perfection',loc='left',fontweight='bold',fontsize=9);ax[0,1].set_ylabel('Perfect probability');ax[0,1].set_xlabel('Essential sites N');ax[0,1].legend(fontsize=8) | |
| for eta,c in zip([0.,1e-8,1e-5,1e-3],['#475b75','#168b8c','#d29539','#bd4b56']): | |
| p=.01;ys=[p] | |
| for _ in range(5):p=min(1,28*p*p+eta);ys.append(p) | |
| ax[1,0].semilogy(range(6),ys,'o-',label=f'Floor {eta:g}',color=c) | |
| ax[1,0].set_ylim(1e-21,.1);ax[1,0].set_title('Conditional threshold recurrence, C = 28',loc='left',fontweight='bold',fontsize=10);ax[1,0].set_xlabel('Encoding depth h');ax[1,0].set_ylabel('Upper-bound recurrence');ax[1,0].legend(fontsize=8) | |
| side=np.logspace(2,7,200);h=50. | |
| ax[1,1].loglog(side/1e3,(side/h)**3,label='Uniform 50 nm volume cells',color='#bd4b56') | |
| ax[1,1].loglog(side/1e3,6*(side/h)**2,label='External surface patches only',color='#168b8c') | |
| ax[1,1].set_title('Geometric count only; filling still required',loc='left',fontweight='bold',fontsize=10);ax[1,1].set_xlabel('Cube side (micrometers)');ax[1,1].set_ylabel('Component/patch count');ax[1,1].legend(fontsize=8) | |
| for a in ax.flat:a.grid(alpha=.2) | |
| fig.savefig(OUT/'scaling.png',dpi=220);fig.savefig(OUT/'scaling.pdf');plt.close(fig) | |
| # Exact conceptual tile map, not a molecular structure rendering. | |
| fig,ax=plt.subplots(figsize=(7,4.5),constrained_layout=True) | |
| from matplotlib.patches import Rectangle,Circle | |
| for i in range(4): | |
| for j in range(4): | |
| col=['#dae9ee','#e0e8de','#e8dfec','#f0e6d4'][(i//2)*2+j//2] | |
| ax.add_patch(Rectangle((i,j),.85,.85,facecolor=col,edgecolor='#344455',lw=1.5)) | |
| if j in (1,2) and i in (1,2):ax.add_patch(Circle((i+.425,j+.425),.27,facecolor='#d4a846',edgecolor='#8d6c21')) | |
| ax.text(i+.12,j+.12,f'{i+4*j+1}',fontsize=8,color='#344455') | |
| ax.text(4.1,3.5,'16 repeated carriers',fontsize=13,fontweight='bold') | |
| ax.text(4.1,2.8,'Four tetramers\nthen one sensor tile',fontsize=11) | |
| ax.text(4.1,1.75,'Gold payload sites\nplus empty structural sites',fontsize=11) | |
| ax.text(4.1,.65,'Silica joins structural contacts.\nOptical gaps must remain open.',fontsize=10) | |
| ax.set_xlim(-.3,8.2);ax.set_ylim(-.4,4.2);ax.set_aspect('equal');ax.axis('off') | |
| fig.suptitle('First experiment: logical layout, not a molecular CAD design',fontsize=11) | |
| fig.savefig(OUT/'experiment.png',dpi=220);plt.close(fig) | |
| print('Saved three figures and two vector plot PDFs') | |