diff --git a/Manifest.toml b/Manifest.toml
index 19015acb..01c40719 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -72,15 +72,16 @@ version = "0.4.0"
 
 [[deps.ArrayInterface]]
 deps = ["Adapt", "LinearAlgebra"]
-git-tree-sha1 = "3640d077b6dafd64ceb8fd5c1ec76f7ca53bcf76"
+git-tree-sha1 = "d60a1922358aa203019b7857a2c8c37329b8736c"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.16.0"
+version = "7.17.0"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
     ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
     ArrayInterfaceCUDAExt = "CUDA"
     ArrayInterfaceCUDSSExt = "CUDSS"
+    ArrayInterfaceChainRulesCoreExt = "ChainRulesCore"
     ArrayInterfaceChainRulesExt = "ChainRules"
     ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
     ArrayInterfaceReverseDiffExt = "ReverseDiff"
@@ -94,6 +95,7 @@ version = "7.16.0"
     CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
     CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
     ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
     GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -224,21 +226,27 @@ version = "0.7.6"
 
 [[deps.ColorSchemes]]
 deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
-git-tree-sha1 = "13951eb68769ad1cd460cdb2e64e5e95f1bf123d"
+git-tree-sha1 = "c785dfb1b3bfddd1da557e861b919819b82bbe5b"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.27.0"
+version = "3.27.1"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
-git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d"
+git-tree-sha1 = "c7acce7a7e1078a20a285211dd73cd3941a871d6"
 uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
-version = "0.11.5"
+version = "0.12.0"
+
+    [deps.ColorTypes.extensions]
+    StyledStringsExt = "StyledStrings"
+
+    [deps.ColorTypes.weakdeps]
+    StyledStrings = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
 
 [[deps.ColorVectorSpace]]
 deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
-git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
+git-tree-sha1 = "8b3b6f87ce8f65a2b4f857528fd8d70086cd72b1"
 uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
-version = "0.10.0"
+version = "0.11.0"
 weakdeps = ["SpecialFunctions"]
 
     [deps.ColorVectorSpace.extensions]
@@ -418,9 +426,9 @@ version = "6.158.3"
 
 [[deps.DiffEqCallbacks]]
 deps = ["ConcreteStructs", "DataStructures", "DiffEqBase", "DifferentiationInterface", "Functors", "LinearAlgebra", "Markdown", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
-git-tree-sha1 = "7f700fa4fb6e55f4672f8218ef228107245a2e9d"
+git-tree-sha1 = "b1f970a2873a2cf76ce35fb0ed2b755a11b31052"
 uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
-version = "4.0.0"
+version = "4.1.0"
 
 [[deps.DiffEqNoiseProcess]]
 deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "ResettableStacks", "SciMLBase", "StaticArraysCore", "Statistics"]
@@ -448,9 +456,9 @@ version = "1.15.1"
 
 [[deps.DifferentiationInterface]]
 deps = ["ADTypes", "LinearAlgebra"]
-git-tree-sha1 = "95cf94719d2f71ad8b8c7ba3eb0accc978626856"
+git-tree-sha1 = "0c99576d0b93df0aff1bed9d9adddef14e4e658f"
 uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
-version = "0.6.18"
+version = "0.6.22"
 
     [deps.DifferentiationInterface.extensions]
     DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
@@ -505,9 +513,9 @@ uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
 deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
-git-tree-sha1 = "d7477ecdafb813ddee2ae727afa94e9dcb5f3fb0"
+git-tree-sha1 = "3101c32aab536e7a27b1763c0797dba151b899ad"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.112"
+version = "0.25.113"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
@@ -550,9 +558,9 @@ version = "0.6.0"
 
 [[deps.DynamicQuantities]]
 deps = ["DispatchDoctor", "TestItems", "Tricks"]
-git-tree-sha1 = "9f826f051e3d2c76f924d39c9aa4fcfd18cc9256"
+git-tree-sha1 = "192f34efd3912f4020b225e01d896f567f5f03e8"
 uuid = "06fc5a27-2a28-4c7c-a15d-362465fb6821"
-version = "1.2.0"
+version = "1.3.0"
 
     [deps.DynamicQuantities.extensions]
     DynamicQuantitiesLinearAlgebraExt = "LinearAlgebra"
@@ -733,9 +741,9 @@ version = "1.3.7"
 
 [[deps.ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
-git-tree-sha1 = "a9ce73d3c827adab2d70bf168aaece8cce196898"
+git-tree-sha1 = "a2df1b776752e3f344e5116c06d75a10436ab853"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
-version = "0.10.37"
+version = "0.10.38"
 weakdeps = ["StaticArrays"]
 
     [deps.ForwardDiff.extensions]
@@ -846,9 +854,9 @@ version = "1.0.2"
 
 [[deps.HTTP]]
 deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "bc3f416a965ae61968c20d0ad867556367f2817d"
+git-tree-sha1 = "1336e07ba2eb75614c99496501a8f4b233e9fafe"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "1.10.9"
+version = "1.10.10"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
@@ -864,9 +872,9 @@ version = "0.1.17"
 
 [[deps.HypergeometricFunctions]]
 deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
-git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
+git-tree-sha1 = "b1c2585431c382e3fe5805874bda6aea90a95de9"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.24"
+version = "0.3.25"
 
 [[deps.IfElse]]
 git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
@@ -1304,9 +1312,9 @@ uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
 [[deps.ModelingToolkit]]
 deps = ["AbstractTrees", "ArrayInterface", "BlockArrays", "Combinatorics", "CommonSolve", "Compat", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "DynamicQuantities", "ExprTools", "Expronicon", "FindFirstFunctions", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "Graphs", "InteractiveUtils", "JuliaFormatter", "JumpProcesses", "Latexify", "Libdl", "LinearAlgebra", "MLStyle", "NaNMath", "NonlinearSolve", "OffsetArrays", "OrderedCollections", "PrecompileTools", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "SciMLStructures", "Serialization", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "SymbolicUtils", "Symbolics", "URIs", "UnPack", "Unitful"]
-git-tree-sha1 = "db309b354ade7fe3deb97d95ca241ed8f1096e91"
+git-tree-sha1 = "b96b0749d6d9c8d6480641dcfcc02a265cf6d9e7"
 uuid = "961ee093-0014-501f-94e3-6117800e7a78"
-version = "9.49.0"
+version = "9.50.0"
 
     [deps.ModelingToolkit.extensions]
     MTKBifurcationKitExt = "BifurcationKit"
@@ -1472,10 +1480,10 @@ uuid = "6ad6398a-0878-4a85-9266-38940aa047c8"
 version = "1.1.2"
 
 [[deps.OrdinaryDiffEqCore]]
-deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "TruncatedStacktraces"]
-git-tree-sha1 = "1175717a62ab21736a8f5d0d2531d2a6ad3b9e74"
+deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "SymbolicIndexingInterface", "TruncatedStacktraces"]
+git-tree-sha1 = "5e8c500a80674850543394ce3c745b73ad51fea0"
 uuid = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
-version = "1.9.0"
+version = "1.10.0"
 weakdeps = ["EnzymeCore"]
 
     [deps.OrdinaryDiffEqCore.extensions]
@@ -1561,9 +1569,9 @@ version = "1.2.1"
 
 [[deps.OrdinaryDiffEqNonlinearSolve]]
 deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FastClosures", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "PreallocationTools", "RecursiveArrayTools", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "StaticArrays"]
-git-tree-sha1 = "a2a4119f3e35f7982f78e17beea7b12485d179e9"
+git-tree-sha1 = "e4be6539f4aaae8db1f29fcfdf6ef817df1f25cf"
 uuid = "127b3ac7-2247-4354-8eb6-78cf4e7c58e8"
-version = "1.2.1"
+version = "1.2.2"
 
 [[deps.OrdinaryDiffEqNordsieck]]
 deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
@@ -1899,9 +1907,9 @@ version = "0.6.12"
 
 [[deps.RecursiveArrayTools]]
 deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "ed2514425d030d7c9054fa0f2275ada45681788d"
+git-tree-sha1 = "6f4dca5fd8e97087a76b7ab8384d1c3086ace0b7"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "3.27.2"
+version = "3.27.3"
 
     [deps.RecursiveArrayTools.extensions]
     RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
@@ -1997,9 +2005,9 @@ version = "0.6.43"
 
 [[deps.SciMLBase]]
 deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
-git-tree-sha1 = "7a54136472ca0cb0f66ef22aa3f0ff198f379fa7"
+git-tree-sha1 = "7527b9adb22904f0f51d8ab85d826f81ebb6f78d"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.58.0"
+version = "2.59.2"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -2164,9 +2172,9 @@ version = "2.23.0"
 
 [[deps.SparseMatrixColorings]]
 deps = ["ADTypes", "DataStructures", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
-git-tree-sha1 = "f37f046636f8dc353a39279abfefe296db212171"
+git-tree-sha1 = "670f2c8109e87d79788baef47880b946e529f1a2"
 uuid = "0a514795-09f3-496d-8182-132a7b665d35"
-version = "0.4.8"
+version = "0.4.9"
 weakdeps = ["Colors"]
 
     [deps.SparseMatrixColorings.extensions]
@@ -2310,9 +2318,9 @@ version = "3.7.2"
 
 [[deps.Symbolics]]
 deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
-git-tree-sha1 = "41852067b437d16a3ad4e01705ffc6e22925c42c"
+git-tree-sha1 = "0caef7687abf7094132fa3112bf5514c36a99226"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "6.17.0"
+version = "6.18.3"
 
     [deps.Symbolics.extensions]
     SymbolicsForwardDiffExt = "ForwardDiff"