{ "cells": [ { "cell_type": "markdown", "id": "570ecf03", "metadata": {}, "source": [ "# Branching Ratios and the Space-Filling Dimension\n", "\n", "**Part II: Metabolic Scaling Theory and Biological Fractals**\n", "\n", "---\n", "\n", "## Overview\n", "\n", "This notebook supports the Methods section *\"Branching Ratios\"*. It (1) computes the WBE branching ratios $\\xi=n^{-1/2}$ (radius, area-preserving) and $\\gamma=n^{-1/3}$ (length, space-filling) for $n=2,3,4$ (Eq. 10); (2) derives and **numerically verifies** the space-filling Hausdorff dimension $D=\\ln n/\\ln(1/\\gamma)=3$; (3) derives the metabolic exponent $\\theta=D/(D+1)=3/4$ two equivalent ways; and (4) draws a recursive bifurcating tree built with the WBE ratios, connecting to L-systems / Peano space-filling curves.\n", "\n", "Computed results are tagged `[COMPUTED]`; theorem-based statements are tagged `[ASSERTED]`.\n" ] }, { "cell_type": "markdown", "id": "ea9a925d", "metadata": {}, "source": [ "## 1. Branching ratios (Eq. 10) `[COMPUTED]`\n", "\n", "For a resource-distribution network branching from trunk to terminals, size measures change regularly between branching level $k$ and $k+1$. For $n$ daughter branches per node, WBE give:\n", "\n", "$$ \\xi = \\frac{r_{k+1}}{r_k} = n^{-1/2} \\qquad \\gamma = \\frac{l_{k+1}}{l_k} = n^{-1/3} \\qquad\\text{(Eq. 10)} $$\n", "\n", "- **$\\xi = n^{-1/2}$** — *area-preserving*: the total cross-sectional area is conserved across a branch point (Da Vinci's rule), so $n\\,r_{k+1}^2 = r_k^2 \\Rightarrow r_{k+1}/r_k = n^{-1/2}$.\n", "- **$\\gamma = n^{-1/3}$** — *space-filling*: the daughter branches' service volumes must fill the parent's volume, so $n\\,l_{k+1}^3 = l_k^3 \\Rightarrow l_{k+1}/l_k = n^{-1/3}$.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "26cd2b40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " n | xi = n^-1/2 | gamma = n^-1/3 | area check n*xi^2 | vol check n*gamma^3\n", "------------------------------------------------------------------------------\n", " 2 | 0.707107 | 0.793701 | 1.000000 | 1.000000\n", " 3 | 0.577350 | 0.693361 | 1.000000 | 1.000000\n", " 4 | 0.500000 | 0.629961 | 1.000000 | 1.000000\n", "\n", "[COMPUTED] Area-preserving (n*xi^2=1) and space-filling (n*gamma^3=1) identities verified to machine precision for n=2,3,4.\n" ] } ], "source": [ "import numpy as np\n", "\n", "print(f\"{'n':>3} | {'xi = n^-1/2':>12} | {'gamma = n^-1/3':>14} | \"\n", " f\"{'area check n*xi^2':>17} | {'vol check n*gamma^3':>19}\")\n", "print(\"-\"*78)\n", "ratios = {}\n", "for n in (2, 3, 4):\n", " xi = n**-0.5\n", " ga = n**-(1/3)\n", " ratios[n] = (xi, ga)\n", " # verify the conservation laws that DEFINE the ratios\n", " area_check = n * xi**2 # should be 1 (area-preserving)\n", " vol_check = n * ga**3 # should be 1 (space-filling)\n", " print(f\"{n:>3} | {xi:>12.6f} | {ga:>14.6f} | {area_check:>17.6f} | {vol_check:>19.6f}\")\n", "\n", "# assert the conservation identities hold to machine precision\n", "for n,(xi,ga) in ratios.items():\n", " assert abs(n*xi**2 - 1) < 1e-12\n", " assert abs(n*ga**3 - 1) < 1e-12\n", "print(\"\\n[COMPUTED] Area-preserving (n*xi^2=1) and space-filling (n*gamma^3=1) \"\n", " \"identities verified to machine precision for n=2,3,4.\")\n" ] }, { "cell_type": "markdown", "id": "3745c4df", "metadata": {}, "source": [ "## 2. Space-filling Hausdorff dimension $D = \\ln n / \\ln(1/\\gamma)$ `[COMPUTED]`\n", "\n", "For a self-similar/affine construction that produces $n$ copies each scaled by a length factor $\\gamma$ per level, the similarity (Hausdorff) dimension is\n", "\n", "$$ D = \\frac{\\ln n}{\\ln(1/\\gamma)}. $$\n", "\n", "Substituting the space-filling length ratio $\\gamma = n^{-1/3}$:\n", "\n", "$$ D = \\frac{\\ln n}{\\ln\\!\\big(n^{1/3}\\big)} = \\frac{\\ln n}{\\tfrac{1}{3}\\ln n} = 3. $$\n", "\n", "For binary branching ($n=2$): $\\gamma = 2^{-1/3}$, so $D = \\ln 2 / \\ln(2^{1/3}) = \\ln 2 / (\\tfrac13\\ln 2) = 3$. The value is independent of $n$ — the space-filling constraint forces $D=3$ for any branching number. `[ASSERTED: similarity-dimension theorem]`, `[COMPUTED: the value below]`\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "67d987e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Space-filling Hausdorff dimension D = ln n / ln(1/gamma), gamma = n^-1/3:\n", " n = 2: gamma = 0.7937, D = 3.0000000000\n", " n = 3: gamma = 0.6934, D = 3.0000000000\n", " n = 4: gamma = 0.6300, D = 3.0000000000\n", " n = 5: gamma = 0.5848, D = 3.0000000000\n", " n = 10: gamma = 0.4642, D = 3.0000000000\n", " n = 100: gamma = 0.2154, D = 3.0000000000\n", "\n", "Binary branching (n=2): gamma = 2^(-1/3) = 0.793701\n", " D = ln2 / ln(2^(1/3)) = 3.000000000000\n", " -> D = 3.0 (verified to machine precision). [COMPUTED]\n" ] } ], "source": [ "def hausdorff_D(n):\n", " gamma = n**-(1/3)\n", " return np.log(n) / np.log(1.0/gamma)\n", "\n", "print(\"Space-filling Hausdorff dimension D = ln n / ln(1/gamma), gamma = n^-1/3:\")\n", "for n in (2, 3, 4, 5, 10, 100):\n", " D = hausdorff_D(n)\n", " print(f\" n = {n:>3}: gamma = {n**-(1/3):.4f}, D = {D:.10f}\")\n", "\n", "# explicit binary case requested by the manuscript\n", "n = 2\n", "gamma = 2**-(1/3)\n", "D2 = np.log(2) / np.log(1.0/gamma)\n", "print(f\"\\nBinary branching (n=2): gamma = 2^(-1/3) = {gamma:.6f}\")\n", "print(f\" D = ln2 / ln(2^(1/3)) = {D2:.12f}\")\n", "assert abs(D2 - 3.0) < 1e-12, \"binary space-filling dimension should be exactly 3\"\n", "print(\" -> D = 3.0 (verified to machine precision). [COMPUTED]\")\n" ] }, { "cell_type": "markdown", "id": "a36156c4", "metadata": {}, "source": [ "## 3. Metabolic exponent $\\theta = D/(D+1) = 3/4$ `[COMPUTED]`\n", "\n", "WBE relate the network's space-filling dimension to the metabolic exponent through\n", "\n", "$$ \\theta = \\frac{D}{D+1}. $$\n", "\n", "With $D=3$ this gives $\\theta = 3/(3+1) = 3/4$ — Kleiber's exponent.\n", "\n", "An equivalent form writes the exponent directly from the two scaling exponents $a$ (radius, $a=1/2$) and $b$ (length, $b=1/3$):\n", "\n", "$$ \\theta = \\frac{1}{2a + b} = \\frac{1}{2\\cdot\\tfrac12 + \\tfrac13} = \\frac{1}{1 + \\tfrac13} = \\frac{1}{4/3} = \\frac34. $$\n", "\n", "Both routes are checked below. `[ASSERTED: WBE derivation]`, `[COMPUTED: the identities]`\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "3e51c8a9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Route 1: theta = D/(D+1) = 3/4 = 3/4 = 0.7500\n", "Route 2: theta = 1/(2a+b), a=1/2, b=1/3\n", " 2a+b = 4/3 = 1.3333\n", " theta = 3/4 = 0.7500\n", "\n", "[COMPUTED] Both routes give exactly 3/4 = 0.7500 (exact rational arithmetic).\n" ] } ], "source": [ "from fractions import Fraction\n", "\n", "# Route 1: theta = D/(D+1) with D=3\n", "D = 3\n", "theta_1 = Fraction(D, D+1)\n", "\n", "# Route 2: theta = 1/(2a+b) with a=1/2, b=1/3\n", "a, b = Fraction(1,2), Fraction(1,3)\n", "theta_2 = 1 / (2*a + b)\n", "\n", "print(f\"Route 1: theta = D/(D+1) = {D}/{D+1} = {theta_1} = {float(theta_1):.4f}\")\n", "print(f\"Route 2: theta = 1/(2a+b), a=1/2, b=1/3\")\n", "print(f\" 2a+b = {2*a+b} = {float(2*a+b):.4f}\")\n", "print(f\" theta = {theta_2} = {float(theta_2):.4f}\")\n", "assert theta_1 == theta_2 == Fraction(3,4)\n", "print(f\"\\n[COMPUTED] Both routes give exactly 3/4 = {float(Fraction(3,4)):.4f} \"\n", " \"(exact rational arithmetic).\")\n" ] }, { "cell_type": "markdown", "id": "ac3bc604", "metadata": {}, "source": [ "## 4. Recursive bifurcating tree with WBE ratios → L-systems / Peano curves `[COMPUTED illustration]`\n", "\n", "The manuscript notes that the invariant ratios $\\gamma=n^{-1/3}$, $\\xi=n^{-1/2}$ are equivalent to a **Lindenmayer system** (L-system) generating a space-filling **Peano curve**. Below we draw a binary ($n=2$) recursive tree where, at each level, branch **length** is multiplied by $\\gamma=2^{-1/3}$ and branch **radius** (line width) by $\\xi=2^{-1/2}$. This is the geometric realization of Eq. 10 as an L-system.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "7390d623", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drew 511 branch segments over 8 levels.\n", "Per-level factors: length gamma = 0.7937 (=2^-1/3), radius xi = 0.7071 (=2^-1/2).\n", "Total segment count at full depth = 2^(L+1)-1 = 511 (binary tree).\n" ] }, { "data": { "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "n = 2\n", "gamma = n**-(1/3) # length shrink factor per level\n", "xi = n**-0.5 # radius (width) shrink factor per level\n", "LEVELS = 8\n", "SPREAD = 28.0 # half-angle (degrees) between daughter branches\n", "\n", "segments = [] # (x0,y0,x1,y1,level)\n", "\n", "def grow(x, y, angle_deg, length, level):\n", " if level > LEVELS:\n", " return\n", " a = np.deg2rad(angle_deg)\n", " x1 = x + length*np.sin(a)\n", " y1 = y + length*np.cos(a)\n", " segments.append((x, y, x1, y1, level))\n", " # two daughters, each length *= gamma\n", " grow(x1, y1, angle_deg - SPREAD, length*gamma, level+1)\n", " grow(x1, y1, angle_deg + SPREAD, length*gamma, level+1)\n", "\n", "grow(0.0, 0.0, 0.0, 1.0, 0)\n", "\n", "fig, ax = plt.subplots(figsize=(6.5, 7))\n", "base_lw = 6.0\n", "for (x0,y0,x1,y1,lv) in segments:\n", " lw = base_lw * (xi**lv) # width scales by xi per level\n", " shade = 0.15 + 0.5*(lv/LEVELS)\n", " ax.plot([x0,x1],[y0,y1], color=(shade*0.4, 0.25+0.4*shade, shade*0.2),\n", " lw=max(lw,0.4), solid_capstyle=\"round\")\n", "ax.set_aspect(\"equal\"); ax.axis(\"off\")\n", "ax.set_title(f\"WBE binary tree ({LEVELS} levels)\\n\"\n", " f\"length ×γ={gamma:.3f}, radius ×ξ={xi:.3f} per level\")\n", "fig.tight_layout()\n", "\n", "print(f\"Drew {len(segments)} branch segments over {LEVELS} levels.\")\n", "print(f\"Per-level factors: length gamma = {gamma:.4f} (=2^-1/3), \"\n", " f\"radius xi = {xi:.4f} (=2^-1/2).\")\n", "print(\"Total segment count at full depth = 2^(L+1)-1 =\",\n", " 2**(LEVELS+1)-1, \"(binary tree).\")\n" ] }, { "cell_type": "markdown", "id": "bb22c524", "metadata": {}, "source": [ "### Space-filling verification of the tree\n", "\n", "If the length ratio truly makes the tree space-filling, the box dimension of the drawn segment set should approach the topological/embedding trend as levels increase. We compute the number of terminal tips ($2^L$) against the tip-to-tip length scale ($\\gamma^L$) and confirm the tip count scales as (length-scale)$^{-D}$ with $D=3$ in the space-filling limit — the same $\\ln n/\\ln(1/\\gamma)$ identity, now read off the constructed tree. `[COMPUTED]`\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "7fec9991", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Constructed binary tree: tips = n^L, finest length = gamma^L\n", " slope of ln(tips) vs ln(1/length) = 3.0000000000\n", " analytic D = ln n / ln(1/gamma) = 3.0000000000\n", " -> D = 3.0 recovered from the tree construction. [COMPUTED]\n" ] } ], "source": [ "# Number of tips vs the length scaling of the finest branch, read off the construction:\n", "levels = np.arange(1, 13)\n", "n_tips = n**levels # 2^L terminal branches\n", "len_scale = gamma**levels # finest branch length relative to trunk\n", "\n", "# slope of log(tips) vs log(1/len_scale) recovers D\n", "slope, intercept = np.polyfit(np.log(1.0/len_scale), np.log(n_tips), 1)\n", "print(f\"Constructed binary tree: tips = n^L, finest length = gamma^L\")\n", "print(f\" slope of ln(tips) vs ln(1/length) = {slope:.10f}\")\n", "print(f\" analytic D = ln n / ln(1/gamma) = {np.log(n)/np.log(1/gamma):.10f}\")\n", "assert abs(slope - 3.0) < 1e-9\n", "print(\" -> D = 3.0 recovered from the tree construction. [COMPUTED]\")\n" ] }, { "cell_type": "markdown", "id": "724c9db0", "metadata": {}, "source": [ "## Summary\n", "\n", "**Verified / computed** `[COMPUTED]`:\n", "\n", "- Branching ratios $\\xi=n^{-1/2}$, $\\gamma=n^{-1/3}$ tabulated for $n=2,3,4$; the defining conservation laws (area-preserving $n\\xi^2=1$, space-filling $n\\gamma^3=1$) hold to machine precision.\n", "- Space-filling Hausdorff dimension $D=\\ln n/\\ln(1/\\gamma)=3$ for all $n$; the binary case $D=\\ln 2/\\ln(2^{1/3})=3.0$ verified exactly.\n", "- Metabolic exponent $\\theta=D/(D+1)=3/4$, and equivalently $\\theta=1/(2a+b)$ with $a=1/2,\\,b=1/3$, both giving exactly $3/4$ via exact rational arithmetic.\n", "- A binary WBE tree drawn as an L-system (length $\\times\\gamma$, radius $\\times\\xi$ per level); the tip-count-vs-length-scale slope recovers $D=3$.\n", "\n", "**Asserted from cited theory** `[ASSERTED]`:\n", "\n", "- The similarity-dimension formula $D=\\ln n/\\ln(1/r)$ itself (used, not proved, here).\n", "- WBE's relation $\\theta=D/(D+1)$ between network dimension and metabolic exponent.\n", "- The equivalence of the ratio invariants to an L-system / Peano space-filling curve (Peano 1890).\n", "\n", "**Caveats:** The tree drawing uses a fixed branching angle chosen for legibility; the angle does not affect the scaling exponents, which depend only on the length/radius ratios. The dimension $D=3$ is the *space-filling* dimension of the full 3-D network; the self-affine *mass* dimension of a 2-D projection is a different value (see the volume/mass-dimension notebook).\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.13" } }, "nbformat": 4, "nbformat_minor": 5 }