From 3c807b5a9b77f3c86ea0c0b69ff2f624d1d496e6 Mon Sep 17 00:00:00 2001 From: Michael Clerx Date: Tue, 25 Aug 2026 10:22:59 +0100 Subject: [PATCH 1/2] Added levels 1 and 2 to the model tour. Closes #26. --- tutorial/img/vc-level-2-post.png | Bin 0 -> 19982 bytes tutorial/img/vc-level-3-post.png | Bin 17219 -> 17847 bytes tutorial/tour.ipynb | 74 +++++++++++++++++++++++++++---- 3 files changed, 66 insertions(+), 8 deletions(-) create mode 100644 tutorial/img/vc-level-2-post.png diff --git a/tutorial/img/vc-level-2-post.png b/tutorial/img/vc-level-2-post.png new file mode 100644 index 0000000000000000000000000000000000000000..d6a8dd0076b5391b70717f5943fb67365d1c9879 GIT binary patch literal 19982 zcmX`T1yq#Z+ciuINI9gm3Kr81P1#Lz7vAl(g$Fo2-Mk1lBkq+4QWBn3f`F6r*( zJ^Y{beXfPNhKc(==Zbypz0X9vR#PB+Nc|8E4UJGq5vGZThQ0{?KZyGP{QX(0_YC}l z=d7sjhK5FjZb=iXZn9;9-Y({tByvUc|}ceO(E^77)gb+mVTWA1Fl?c{2cwkt`E zhV}$a3HCzUJAFID%Uj#(v`1!5jaqI4`eYWPNRjk~0SUU?h#dOO&qipDSzApBqA}3} z?(Ts5p2Li%7=xWX@)iF0`zOMWUPE5^mMQhl99@0za#m#d`7|X(LTPUJXogi_ulcOm zhDG40c`abrFQ$k+agq^=QG%hS0iUq<%lL|F*!RfheKhVjJPl5bHr|^`N2Ti@k2r<&Tr8EV7VD 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zF>K^vl8ZVJC(;Tj*~-RxzDO`c7WWIZoHHtAj8+$TriQ$)8(%nkLTM3IstJ0wmSBzO zOP;Al9lPXlI^nrRYKy2?Z4X1An8umd-c&MB(_+cnJ<@uur!-8hWey67VxS*%0bu8o zmX-zz{XV?FR01Hz@)t29ao0=j_5sU!y3piekpt=sk@unRqe8LqNsd94FAG48$X^9R zvLEO2gM5wPa^J!gRC3uyXDgIP`GDG&(WvEOvC90k7^eK(&L{{RO?^QQ_h#tCtuw|G|GqI>Lt&)9(H^#6AcvB`o+7 z4~LUJs!W)}hp8=;3tv;n{;xgv|90vA|KDy&{Ufakp5yQrgMWa50hd*URlYQP`+oq; C7`#vb diff --git a/tutorial/tour.ipynb b/tutorial/tour.ipynb index 061fb78..350cd3f 100644 --- a/tutorial/tour.ipynb +++ b/tutorial/tour.ipynb @@ -228,6 +228,65 @@ "The given $R_f$ value is typical for Axon, HEKA, and Sutter." ] }, + { + "cell_type": "markdown", + "id": "13f7b3c8-ac0f-4c59-8b0a-4e082e81487a", + "metadata": {}, + "source": [ + "## Level 2: Fast capacitance and compensation\n", + "\n", + "\n", + "\n", + "This level adds \n", + "\n", + "- A pipette (conventional patch clamp) or parasitic (planar patch clamp) capacitance $C_p$, and its amplifier estimate $C^*_p$\n", + "\n", + "Compared to level 3, only equations 5 and 7 are changed:" + ] + }, + { + "cell_type": "markdown", + "id": "7c991600-9683-45a6-8545-5c480c518215", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "2.5 && \\dot{V}_\\text{rc} &= \\frac{R_f I_1 + b - V_\\text{rc}}{(\\tau_\\text{rc} - a)} \\\\\n", + " && a &= \\alpha R_s^* (C_p - C_p^*) \\\\\n", + " && b &= R_f (C_p - C_p^*) \\frac{\\dot{V}_s - \\beta \\dot{V}_e}{1 - \\beta}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.7. && \\tau_o \\dot{I}_\\text{obs} = I_1 + (C_p - C_p^*) \\dot{V}_r - I_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "c6cd0eeb-a098-44e9-8865-8584ce368ce9", + "metadata": {}, + "source": [ + "New parameters are\n", + "\n", + "| Parameter | Units | Meaning | Typical value |\n", + "|-----------|-------|-------------------------------------------------|---------------|\n", + "| $C_p$ | pF | True pipette or parasitic capacitance, unknown | 5 pF |\n", + "| $C_p^*$ | pF | Estimated fast capacitance, read from amplifier | 5 pF |\n", + "\n", + "While the inclusion of fast pipette/parasitic capacitance is illustrative for how the compensation works, it should be noted that the true capacitance artefact is more complex.\n", + "Similarly, most amplifiers have more complex compensation, including multiple capacitances and a slight delay." + ] + }, + { + "cell_type": "markdown", + "id": "9c446bf1-678e-4502-a12e-e22b411c4217", + "metadata": {}, + "source": [ + "## Level 1: Stray capacitance\n", + "\n", + "The level 1 model adds a \"stray capacitance\" over the measurement resistor $R_f$.\n", + "It is equivalent to level 0, described below, but uses 1st order approximations for all filters." + ] + }, { "cell_type": "markdown", "id": "f0982179-7da0-49d0-ae2f-a1ce724babe7", @@ -235,16 +294,17 @@ "source": [ "## Level 0: The full model\n", "\n", - "Next, we jump straight to the Level 0 model.\n", - "\n", "\n", "\n", "This level adds\n", "\n", - "- A pipette (conventional patch clamp) or parasitic (planar patch clamp) capacitance $C_p$, and its amplifier estimate $C^*_p$\n", - "- A stray capacitance on the measurement resistor $\\tilde{C}_f$, and a finite op-amp speed with time constant $\\tau_a$\n", + "- A finite op-amp speed with time constant $\\tau_a$\n", "- A two-part output filter, where \"Filter 1\" affects series resistance compensation, while \"Filter 2\" does not.\n", - "- Arbitrary equations for the output filters and the stimulus filter (allowing e.g. Bessel formulations)" + "- Arbitrary equations for the output filters and the stimulus filter (allowing e.g. Bessel formulations)\n", + "\n", + "And, as in level 1, we now have\n", + "\n", + "- A stray capacitance on the measurement resistor $\\tilde{C}_f$" ] }, { @@ -313,8 +373,6 @@ "\n", "| Parameter | Units | Meaning | Typical value |\n", "|---------------|-------|----------------------------------------------------|---------------|\n", - "| $C_p$ | pF | True pipette capacitance, unknown | 5 pF |\n", - "| $C^*_p$ | pF | Estimated pipette capacitance, read from amplifier | 5 pF |\n", "| $\\tilde{C}_f$ | pF | Compensated stray capacitance on measuring resistor, unknown | 5e-3 pF |\n", "| $\\tau_a$ | ms | Time constant of measurement op-amp, unknown | 13e-6 ms |\n", "| $t_r$ | ms | Stimulus filter setting | 0.04 ms |\n", @@ -339,7 +397,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.12" + "version": "3.13.13" } }, "nbformat": 4, From be0e0aa4b4086486f5e7a74fe177a9bd07abb2a8 Mon Sep 17 00:00:00 2001 From: Michael Clerx Date: Tue, 25 Aug 2026 10:38:04 +0100 Subject: [PATCH 2/2] Improved model tour text --- tutorial/tour.ipynb | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/tutorial/tour.ipynb b/tutorial/tour.ipynb index 350cd3f..a009917 100644 --- a/tutorial/tour.ipynb +++ b/tutorial/tour.ipynb @@ -272,8 +272,8 @@ "| $C_p$ | pF | True pipette or parasitic capacitance, unknown | 5 pF |\n", "| $C_p^*$ | pF | Estimated fast capacitance, read from amplifier | 5 pF |\n", "\n", - "While the inclusion of fast pipette/parasitic capacitance is illustrative for how the compensation works, it should be noted that the true capacitance artefact is more complex.\n", - "Similarly, most amplifiers have more complex compensation, including multiple capacitances and a slight delay." + "Note that the true capacitance artefact is more complex.\n", + "Similarly, most amplifiers have more complex compensation, including multiple capacitances and time delays." ] }, { @@ -284,7 +284,9 @@ "## Level 1: Stray capacitance\n", "\n", "The level 1 model adds a \"stray capacitance\" over the measurement resistor $R_f$.\n", - "It is equivalent to level 0, described below, but uses 1st order approximations for all filters." + "It is equivalent to level 0, described below, but uses 1st order approximations for all filters.\n", + "\n", + "Full equations can be found in the \"simplifications\" notebook." ] }, {